[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - 1 1 1 - - - - - - - ]
[ 1 1 1 1 - - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 1 - - - - - 1 1 - - 1 ]
[ 1 1 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - 1 1 - - - - 1 - - 1 - 1 - ]
[ 1 1 1 1 1 - - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - - - - 1 - 1 1 - - ]
[ 1 1 1 1 - - 1 - 1 - - - - - 1 1 1 - - - - 1 1 - 1 1 1 - - - 1 1 ]
[ 1 1 1 1 1 - - 1 - - - - - 1 - 1 - 1 - 1 - - 1 1 - 1 - 1 - 1 - 1 ]
[ 1 1 1 1 - 1 - - - 1 - - - 1 1 - - - 1 - 1 - - 1 1 - 1 1 - 1 1 - ]
[ 1 - 1 - 1 1 - - - - - 1 1 - - 1 1 1 - - - - 1 - 1 - 1 1 1 1 1 - ]
[ 1 - - 1 - 1 1 - - - 1 - 1 1 - - - 1 1 - - - 1 1 - 1 1 - 1 - 1 1 ]
[ 1 1 - - 1 - 1 - - - 1 1 - - 1 - 1 - 1 - - - - 1 1 1 - 1 1 1 - 1 ]
[ 1 1 - - - 1 - - - 1 - 1 1 - - - 1 - - 1 1 1 1 1 - 1 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 - - 1 1 - - - - - - 1 1 1 1 1 - 1 - 1 1 - - 1 1 ]
[ 1 - 1 - - - 1 - 1 - 1 - 1 - - - - 1 - 1 1 1 - 1 1 1 - 1 - 1 1 - ]
[ 1 - - 1 1 - - - - 1 - 1 1 1 1 1 - - - 1 - 1 - 1 1 1 - - 1 - 1 - ]
[ 1 1 - - - 1 - - 1 - 1 - 1 1 1 1 - - - 1 1 - 1 - 1 - - 1 1 - - 1 ]
[ 1 - 1 - - - 1 1 - - 1 1 - 1 1 1 - - - - 1 1 1 1 - - 1 - 1 1 - - ]
[ 1 - 1 - - - - 1 - 1 1 - 1 - 1 1 1 1 1 1 - - - 1 1 - 1 - - - - 1 ]
[ 1 - - 1 - - - - 1 1 1 1 - 1 - 1 1 1 1 - 1 - 1 - 1 1 - - - 1 - - ]
[ 1 1 - - - - - 1 1 - - 1 1 1 1 - 1 1 1 - - 1 1 1 - - - 1 - - 1 - ]
[ 1 1 - - 1 1 - 1 1 - - - - - - 1 - 1 1 - 1 1 - 1 1 1 1 - 1 - - - ]
[ 1 - - 1 1 - 1 - 1 1 - - - - 1 - 1 1 - 1 1 - 1 1 - - 1 1 1 - - - ]
[ 1 - 1 - - 1 1 1 - 1 - - - 1 - - 1 - 1 1 - 1 1 - 1 1 - 1 1 - - - ]
[ 1 - 1 - 1 - - 1 1 1 - - 1 - 1 - - - 1 - 1 - 1 - - 1 - - 1 1 1 1 ]
[ 1 - - 1 - 1 - 1 1 1 1 - - - - 1 1 - - - - 1 - 1 - - - 1 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 - 1 - 1 - - - 1 - 1 - - - - 1 - 1 - 1 1 1 1 ]
[ 1 1 - - 1 1 1 - - 1 1 - - - 1 1 - 1 1 1 - 1 1 - - - - - - 1 1 - ]
[ 1 - 1 - 1 1 1 - 1 - - 1 - 1 - 1 1 - 1 1 1 - - 1 - - - - - - 1 1 ]
[ 1 - - 1 1 1 1 1 - - - - 1 1 1 - 1 1 - - 1 1 - - 1 - - - - 1 - 1 ]
[ 1 - 1 - 1 1 - - 1 1 1 1 - 1 1 - - 1 - - - 1 - - - 1 1 1 - - - 1 ]
[ 1 1 - - 1 - 1 1 - 1 1 - 1 1 - 1 1 - - - 1 - - - - 1 1 1 - - 1 - ]
[ 1 - - 1 - 1 1 1 1 - - 1 1 - 1 1 - - 1 1 - - - - - 1 1 1 - 1 - - ]

Permutation group acting on a set of cardinality 64
Order = 192 = 2^6 * 3
    (1 3, 33, 35)(2, 10, 34, 42)(4, 54, 36, 22)(5, 8, 37, 40)(6, 17, 38, 49)(7,
        60, 39, 28)(9, 52, 41 20)(11 48, 43, 16)(12, 64, 44, 32)(13, 62, 45, 
        30)(14, 27, 46, 59)(15, 56, 47, 24)(18, 57, 50, 25)(19, 23, 51 55)(21, 29, 53, 61)(26, 31 58, 63)
    (3, 5, 4)(6, 7, 8)(9, 10, 11)(12, 14, 13)(15, 16, 17)(18, 19, 20)(21 23, 
        22)(24, 25, 26)(27, 28, 29)(30, 32, 31)(35, 37, 36)(38, 39, 40)(41 42, 
        43)(44, 46, 45)(47, 48, 49)(50, 51 52)(53, 55, 54)(56, 57, 58)(59, 60, 
        61)(62, 64, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 11> <64, 20>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - - - 1 1 1 - - - - - 1 ]
[ 1 1 1 - - 1 - 1 - - - 1 1 1 - 1 - - - 1 1 1 - 1 - - 1 1 - - - 1 ]
[ 1 - 1 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 ]
[ 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 - 1 1 1 - - - 1 - 1 - - 1 1 1 - 1 - - 1 1 - - - 1 ]
[ 1 1 - 1 - - - 1 1 - 1 1 - 1 1 - - 1 - - - 1 1 - - 1 - 1 1 - - 1 ]
[ 1 - 1 - 1 1 1 - - 1 - - 1 - - 1 1 1 - - - 1 1 - - 1 - 1 1 - - 1 ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 - - - 1 1 1 - - - - - 1 ]
[ 1 1 1 - - - 1 - 1 - - 1 1 - 1 - 1 - - 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - - 1 - - 1 - - 1 - 1 1 1 ]
[ 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 - - 1 - - 1 - - 1 - 1 1 1 ]
[ 1 - - 1 1 1 - 1 - 1 1 - - 1 - 1 - - - 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 - 1 - 1 - - 1 1 1 - - 1 1 1 - - 1 - - 1 - - - - 1 1 - - 1 1 1 ]
[ 1 1 - 1 - 1 1 - - - 1 1 - - - 1 1 1 - - 1 - - - - 1 1 - - 1 1 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - - - 1 - - ]
[ 1 - 1 1 1 - - 1 - - - 1 - - 1 1 1 - - 1 - 1 1 - 1 1 1 - - - 1 - ]
[ 1 1 - 1 1 - - - 1 - - - 1 1 - 1 1 - 1 1 1 - - - - 1 - 1 1 - 1 - ]
[ 1 - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 1 - - 1 - 1 - - 1 - 1 - 1 - ]
[ 1 1 - 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 1 - - 1 - - 1 - ]
[ 1 - 1 - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 1 - - 1 - - 1 - ]
[ 1 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 1 1 - - 1 - 1 - - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 1 1 - 1 1 1 - - 1 - - - 1 1 1 - - - - 1 - 1 1 - 1 - ]
[ 1 1 - - - 1 1 - 1 1 1 - 1 1 - - - - - 1 - 1 1 - 1 1 1 - - - 1 - ]
[ 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - 1 - - ]
[ 1 1 1 - 1 - 1 - - - 1 - - 1 1 1 - - 1 - - - 1 1 - 1 1 1 - 1 - - ]
[ 1 1 1 1 - 1 - - - 1 - - - 1 1 - 1 - - - 1 1 - 1 1 1 - - 1 1 - - ]
[ 1 - - 1 1 1 1 - - - - 1 1 1 1 - - 1 - 1 - - - - 1 - 1 1 1 1 - - ]
[ 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - 1 - - - - 1 - 1 1 1 1 - - ]
[ 1 - - - 1 - 1 1 1 - 1 1 1 - - 1 - - - - 1 1 - 1 1 1 - - 1 1 - - ]
[ 1 - - 1 - 1 - 1 1 1 - 1 1 - - - 1 - 1 - - - 1 1 - 1 1 1 - 1 - - ]

Permutation group acting on a set of cardinality 64
Order = 32768 = 2^15
    (1 17, 15, 54, 13, 19, 44, 31)(2, 61 9, 30)(3, 25, 38, 18)(4, 27, 40, 20, 
        36, 59, 8, 52)(5, 64, 39, 55, 37, 32, 7, 23)(6, 50, 35, 57)(10, 56, 43, 
        60, 16, 58, 14, 21)(11 28, 48, 26, 46, 53, 42, 24)(12, 63, 33, 49, 47, 
        22, 45, 51)(29, 41 62, 34)
    (2, 40)(3, 4)(5, 6)(7, 41)(8, 34)(9, 39)(10, 42)(11 43)(12, 44)(13, 45)(18,
        61)(20, 52)(21 28)(22, 31)(23, 55)(25, 62)(27, 59)(29, 50)(30, 57)(32, 
        64)(35, 36)(37, 38)(53, 60)(54, 63)
    (2, 34)(4, 39)(5, 8)(6, 38)(7, 36)(10, 42)(11 46)(12, 15)(14, 43)(16, 
        48)(18, 52)(19, 51)(20, 50)(21 53)(23, 25)(26, 58)(27, 62)(29, 32)(30, 
        59)(31 63)(37, 40)(44, 47)(55, 57)(61 64)
    (3, 35)(4, 36)(7, 39)(9, 41)(10, 42)(12, 44)(15, 47)(16, 48)(17, 31)(18, 
        27)(19, 22)(20, 62)(21 56)(23, 29)(24, 53)(25, 64)(26, 60)(28, 58)(30, 
        52)(32, 57)(49, 63)(50, 59)(51 54)(55, 61)
    (17, 58)(18, 57)(19, 56)(20, 55)(21 54)(22, 53)(23, 52)(24, 51)(25, 50)(26,
        49)(27, 64)(28, 63)(29, 62)(30, 61)(31 60)(32, 59)
    (17, 20)(18, 28)(19, 32)(21 29)(22, 30)(23, 26)(24, 27)(25, 31)(49, 52)(50,
        60)(51 64)(53, 61)(54, 62)(55, 58)(56, 59)(57, 63)
    (17, 19)(18, 29)(20, 32)(21 28)(22, 31)(23, 27)(24, 26)(25, 30)(49, 51)(50,
        61)(52, 64)(53, 60)(54, 63)(55, 59)(56, 58)(57, 62)
    (17, 27)(18, 22)(19, 23)(20, 24)(21 25)(26, 32)(28, 30)(29, 31)(49, 59)(50,
        54)(51 55)(52, 56)(53, 57)(58, 64)(60, 62)(61 63)
    (17, 28)(18, 20)(19, 21)(22, 24)(23, 25)(26, 31)(27, 30)(29, 32)(49, 60)(50,
        52)(51 53)(54, 56)(55, 57)(58, 63)(59, 62)(61 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 5> <64, 31>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 - 1 - 1 1 - - - - 1 - 1 - - - - - 1 - 1 - 1 1 1 - 1 - 1 1 ]
[ 1 1 - 1 - 1 1 1 - - - - - 1 - 1 - - - - - 1 - 1 1 1 - 1 - 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - - - 1 1 1 1 - - ]
[ 1 1 - 1 1 - - - - - 1 1 1 - - 1 - - 1 1 1 - - 1 1 1 - 1 1 - - - ]
[ 1 1 1 - - 1 - - - - 1 1 - 1 1 - - - 1 1 - 1 1 - 1 1 1 - - 1 - - ]
[ 1 1 - 1 1 - - - - - 1 1 - 1 1 - 1 1 - - 1 - - 1 - - 1 - - 1 1 1 ]
[ 1 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - - - 1 1 - - - - 1 1 - 1 1 ]
[ 1 1 - 1 1 - - - 1 1 - - - 1 1 - - - 1 1 - 1 1 - - - - 1 1 - 1 1 ]
[ 1 1 1 - - 1 - - 1 1 - - 1 - - 1 - - 1 1 1 - - 1 - - 1 - - 1 1 1 ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 - 1 - 1 - - - 1 1 1 - 1 - - - 1 1 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 1 - - 1 - 1 1 1 - - - 1 - 1 1 1 - - 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 - 1 - 1 1 - - - 1 1 1 - - 1 1 1 - - - 1 1 1 - - 1 - ]
[ 1 - 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 1 - 1 1 - - 1 - ]
[ 1 - 1 1 - - - 1 - 1 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 - - 1 1 1 - ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 - 1 - - - 1 1 - 1 1 1 - - - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 1 - 1 - 1 1 - - - 1 - - 1 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 688128 = 2^15 * 3 * 7
    (16, 49)(17, 48)(18, 60)(19, 61)(20, 53)(21 52)(22, 55)(23, 54)(24, 57)(25,
        56)(26, 59)(27, 58)(28, 50)(29, 51)(31 64)(32, 63)
    (4, 37)(5, 36)(10, 43)(11 42)(12, 45)(13, 44)(14, 47)(15, 46)(19, 61)(22, 
        55)(23, 54)(24, 57)(25, 56)(26, 59)(27, 58)(29, 51)
    (1 2)(3, 35)(4, 39)(5, 6)(7, 36)(8, 62)(10, 58)(11 27)(12, 23)(13, 54)(14,
        24)(15, 57)(16, 48)(18, 63)(19, 20)(21 61)(22, 45)(25, 47)(26, 42)(28, 
        32)(29, 53)(30, 40)(31 50)(33, 34)(37, 38)(43, 59)(44, 55)(46, 56)(51, 52)(60, 64)
    (2, 3, 34, 35)(4, 39)(5, 6)(7, 36)(8, 41 40, 9)(10, 23, 11 54)(12, 56, 45,
        57)(13, 25, 44, 24)(14, 59, 46, 27)(15, 26, 47, 58)(16, 28, 48, 60)(17, 
        50, 49, 18)(19, 52)(20, 51)(21 29)(22, 42, 55, 43)(30, 62)(32, 64)(37, 
        38)(53, 61)
    (10, 11)(12, 13)(14, 15)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22,
        55)(23, 54)(24, 57)(25, 56)(26, 59)(27, 58)(28, 60)(29, 61)(31 63)(32, 
        64)(42, 43)(44, 45)(46, 47)
    (3, 11 27, 9, 10, 26)(4, 20, 23, 5, 21 22)(6, 13, 19)(7, 12, 29)(14, 16, 
        25)(15, 17, 24)(18, 28)(31 32)(35, 43, 59, 41 42, 58)(36, 52, 55, 37, 
        53, 54)(38, 45, 51)(39, 44, 61)(46, 48, 57)(47, 49, 56)(50, 60)(63, 64)
    (6, 7)(10, 11)(12, 13)(14, 15)(20, 21)(22, 23)(24, 25)(26, 27)(38, 39)(42, 
        43)(44, 45)(46, 47)(52, 53)(54, 55)(56, 57)(58, 59)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 19> <64, 39>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - 1 - 1 1 1 1 1 1 - - 1 - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 - 1 - - - - - - 1 1 - 1 1 ]
[ 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - ]
[ 1 1 - - 1 1 1 1 1 1 1 1 1 - 1 - - - 1 1 - - - - 1 - - 1 - - - - ]
[ 1 1 1 1 - - 1 1 1 1 1 1 - 1 - 1 - - - - 1 1 - - - 1 - - 1 - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - - - - - 1 - - 1 - - ]
[ 1 1 1 - 1 - - - 1 - 1 1 1 - - - 1 1 - - 1 1 1 1 1 - - - - - 1 - ]
[ 1 1 - 1 - 1 - - - 1 1 1 - 1 - - 1 1 1 1 - - 1 1 - 1 - - - - - 1 ]
[ 1 - - 1 1 - 1 - - 1 1 1 - 1 - - - 1 - - - - - 1 1 - 1 1 1 1 1 - ]
[ 1 - - 1 1 - 1 - - - 1 - 1 1 1 - 1 - 1 1 1 1 1 - - - - - 1 1 - - ]
[ 1 - 1 - - 1 1 - 1 1 1 - - - 1 - 1 - - - - - 1 - 1 1 - - 1 1 1 1 ]
[ 1 - 1 - - 1 1 - - 1 - - - 1 1 1 - 1 1 1 1 1 - 1 1 - - - - - 1 - ]
[ 1 1 1 - 1 - - - - - - 1 1 1 - 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 ]
[ 1 1 - 1 - 1 - - - - 1 - 1 1 1 - - - - - 1 1 - - 1 1 1 1 - - 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 - 1 - 1 1 - - 1 - - 1 1 1 ]
[ 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 1 - 1 - 1 - - - - 1 - - 1 1 1 ]
[ 1 1 - 1 - - - 1 1 - - - - 1 1 1 1 - - 1 - - 1 1 1 - - 1 1 - 1 - ]
[ 1 1 1 - - - 1 - - - 1 - 1 - 1 1 - 1 1 - - - 1 1 - 1 1 1 1 - - - ]
[ 1 1 - - 1 1 - - - 1 - 1 - - 1 1 - - - - 1 1 1 1 - - - 1 1 1 - 1 ]
[ 1 - 1 1 1 - - - 1 1 1 - - - - 1 - - 1 1 - 1 1 - - - 1 1 - - 1 1 ]
[ 1 - - - 1 - 1 1 - 1 - - 1 1 - 1 1 1 - - - 1 1 - 1 1 - 1 - - - 1 ]
[ 1 - 1 - - 1 - 1 - - 1 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - - ]
[ 1 - 1 - - 1 1 - 1 - - 1 1 1 - - 1 - - 1 - 1 - 1 - - 1 1 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - - 1 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 - - 1 1 1 - 1 - 1 - - 1 1 1 1 - - - - 1 ]
[ 1 - - - 1 1 - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - 1 - ]
[ 1 - - - 1 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 1 - - - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 ]
[ 1 - 1 1 - - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 42, 33, 10)(2, 59, 34, 27)(3, 20, 35, 52)(4, 41 36, 9)(5, 28, 37, 
        60)(6, 63, 38, 31)(7, 8, 39, 40)(11 62, 43, 30)(12, 25, 44, 57)(13, 51,
     45, 19)(14, 22, 46, 54)(15, 58, 47, 26)(16, 24, 48, 56)(17, 50, 49, 
        18)(21 61 53, 29)(23, 32, 55, 64)
    (1 2, 36, 61 54, 28, 57, 3, 26, 31 30, 17, 51 16, 7, 64)(4, 29, 22, 60, 
        25, 35, 58, 63, 62, 49, 19, 48, 39, 32, 33, 34)(5, 46, 21 41 27, 10, 
        55, 40, 56, 13, 18, 43, 38, 47, 52, 44)(6, 15, 20, 12, 37, 14, 53, 9, 
        59, 42, 23, 8, 24, 45, 50, 11)
    (2, 3)(4, 39)(5, 6)(7, 36)(8, 47)(9, 46)(10, 12)(11 13)(14, 41)(15, 40)(16,
        17)(18, 53)(19, 22)(20, 52)(21 50)(23, 55)(24, 27)(25, 62)(28, 61)(29, 
        60)(30, 57)(31 64)(32, 63)(34, 35)(37, 38)(42, 44)(43, 45)(48, 49)(51, 54)(56, 59)
Automorphism group has centre of order: 4
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 47>
<32, 19> <64, 39>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - 1 - - - - 1 1 1 1 - - - - 1 1 1 - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - ]
[ 1 1 - 1 - 1 - - 1 1 1 1 - - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - - ]
[ 1 - 1 - 1 1 - - 1 1 1 1 - - 1 - - 1 - 1 - 1 - 1 - - 1 1 - - 1 - ]
[ 1 - 1 1 - - 1 - 1 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 - - 1 - 1 - ]
[ 1 1 - - 1 - 1 - 1 1 1 - 1 - - 1 - 1 1 - - 1 1 - - - 1 - 1 1 - - ]
[ 1 - 1 - 1 1 - - 1 - - - 1 1 - 1 1 - 1 - 1 - 1 - 1 - 1 1 - - 1 - ]
[ 1 - 1 1 - - 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 1 - - 1 - 1 - ]
[ 1 1 - - 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - 1 - 1 1 - - ]
[ 1 1 - 1 - 1 - - 1 - - - 1 1 - 1 - 1 - 1 - 1 - 1 1 1 - 1 - 1 - - ]
[ 1 - 1 - 1 1 - - - 1 - - 1 1 1 - - 1 1 - 1 - - 1 - 1 - - 1 1 - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 - - 1 1 - 1 - 1 ]
[ 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 - - 1 1 ]
[ 1 1 - 1 - 1 - - - 1 - - 1 1 1 - 1 - - 1 - 1 1 - - - 1 - 1 - 1 1 ]
[ 1 - 1 - 1 1 - - - - 1 1 - - - 1 1 - - 1 - 1 1 - 1 1 - - 1 1 - 1 ]
[ 1 - 1 1 - - 1 - - - 1 - 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 1 - 1 - 1 ]
[ 1 1 - - 1 - 1 - - - 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 1 - 1 - - 1 1 ]
[ 1 1 - 1 - 1 - - - - 1 1 - - - 1 - 1 1 - 1 - - 1 1 - 1 - 1 - 1 1 ]
[ 1 - - 1 1 - - 1 1 1 - 1 1 - - - 1 1 - - 1 1 - - 1 - - 1 1 - - 1 ]
[ 1 1 1 - - - - 1 1 1 1 - - 1 1 1 - - - - 1 1 - - 1 1 1 - - - - 1 ]
[ 1 1 1 - - - - 1 1 - - 1 1 - - - 1 1 1 1 - - 1 1 - 1 1 - - - - 1 ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 1 1 - - 1 1 - - 1 1 - - - 1 1 - - 1 ]
[ 1 1 1 - - - - 1 - 1 - 1 1 - 1 1 - - 1 1 - - - - 1 - - 1 1 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 - - 1 1 1 1 - - - - 1 1 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 - - - 1 1 - 1 1 - - - - 1 1 1 1 - 1 1 - - 1 1 - ]
[ 1 1 1 - - - - 1 - - 1 - - 1 - - 1 1 - - 1 1 1 1 - - - 1 1 1 1 - ]
[ 1 - - - - 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - 1 1 1 ]
[ 1 - - - - 1 1 1 1 - 1 1 1 1 1 1 1 1 - - - - - - - - - - - 1 1 1 ]
[ 1 - - - - 1 1 1 - 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 - - - ]
[ 1 - - - - 1 1 1 - - - - - - 1 1 1 1 1 1 1 1 - - - 1 1 1 1 - - - ]

Permutation group acting on a set of cardinality 64
Order = 131072 = 2^17
    (7, 50)(8, 51)(10, 46)(11 47)(14, 42)(15, 43)(18, 39)(19, 40)(21 59)(22, 
        60)(23, 57)(24, 58)(25, 55)(26, 56)(27, 53)(28, 54)
    (6, 38)(8, 40)(9, 41)(11 43)(13, 45)(15, 47)(17, 49)(19, 51)(21 26)(22, 
        57)(23, 60)(24, 27)(25, 54)(28, 55)(29, 61)(30, 62)(31 63)(32, 64)(53, 
        58)(56, 59)
    (1 6)(2, 9)(3, 17)(4, 13)(5, 21)(7, 23)(8, 30)(10, 22)(11 29)(12, 24)(14, 
        25)(15, 31)(16, 27)(18, 28)(19, 32)(20, 26)(33, 38)(34, 41)(35, 49)(36, 
        45)(37, 53)(39, 55)(40, 62)(42, 54)(43, 61)(44, 56)(46, 57)(47, 63)(48, 
        59)(50, 60)(51 64)(52, 58)
    (2, 34)(4, 36)(5, 9, 14, 8, 37, 41 46, 40)(6, 50, 11 12, 38, 18, 43, 
        44)(7, 15, 48, 49, 39, 47, 16, 17)(10, 51 52, 13, 42, 19, 20, 45)(21,
     24, 53, 56)(22, 55, 54, 23)(25, 60, 57, 28)(26, 27, 58, 59)(29, 61)(31, 63)
    (3, 35)(4, 36)(5, 38, 18, 8, 37, 6, 50, 40)(7, 51 52, 49, 39, 19, 20, 
        17)(9, 46, 43, 12, 41 14, 11 44)(10, 47, 48, 45, 42, 15, 16, 13)(21,
    28, 58, 23)(22, 24, 25, 59)(26, 55, 53, 60)(27, 54, 56, 57)(29, 31 61, 63)(30, 32, 62, 64)
    (5, 49, 52, 6)(7, 40, 50, 19)(8, 18, 51 39)(9, 12, 45, 48)(10, 43, 46, 
        15)(11 14, 47, 42)(13, 16, 41 44)(17, 20, 38, 37)(21 24)(22, 55)(23, 
        54)(25, 60)(26, 27)(28, 57)(29, 61)(30, 62)(31 63)(32, 64)(53, 56)(58, 59)
    (6, 49)(7, 39)(8, 19)(9, 45)(10, 42)(11 15)(13, 41)(14, 46)(17, 38)(18, 
        50)(21 58)(22, 25)(23, 28)(24, 59)(26, 53)(27, 56)(29, 61)(30, 62)(31,
        63)(32, 64)(40, 51)(43, 47)(54, 57)(55, 60)
    (5, 8)(6, 7)(9, 10)(11 12)(13, 14)(15, 16)(17, 18)(19, 20)(37, 40)(38, 
        39)(41 42)(43, 44)(45, 46)(47, 48)(49, 50)(51 52)
    (6, 13)(8, 15)(9, 17)(11 19)(21 26)(24, 27)(29, 31)(30, 32)(38, 45)(40, 
        47)(41 49)(43, 51)(53, 58)(56, 59)(61 63)(62, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 9> <64, 40>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - - - 1 1 - - ]
[ 1 - - - - - - - - 1 1 - - 1 - - 1 1 1 1 1 1 1 1 1 - - 1 - 1 1 - ]
[ 1 - 1 1 1 1 1 1 - 1 1 - - 1 1 1 - - - - - - - - 1 - - 1 - 1 1 - ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 1 - 1 - 1 1 - - - 1 1 - - 1 - - - - - 1 1 1 1 1 - - 1 1 - - 1 ]
[ 1 1 1 - 1 - - 1 - - 1 1 - - - 1 - - - - 1 1 1 1 - 1 1 - - 1 1 - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 - - 1 1 - - 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 1 1 - - - - ]
[ 1 - 1 1 1 - - - 1 - - - - - 1 - - 1 - 1 - - 1 1 - 1 - 1 1 1 1 1 ]
[ 1 - - - 1 - 1 1 1 - 1 1 1 1 1 - - 1 - 1 1 1 - - - 1 - 1 - - - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 1 1 1 - - - - - - 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - 1 1 1 - 1 1 1 1 - 1 - - - - 1 - 1 - - 1 1 1 - 1 - - - - - ]
[ 1 1 1 - 1 1 1 - 1 1 - 1 - 1 - - 1 - 1 - - - 1 1 - 1 - 1 - - - - ]
[ 1 1 1 1 - - 1 - 1 - 1 - 1 1 - 1 1 - - 1 - 1 - 1 - - - - - - 1 1 ]
[ 1 1 1 1 - - - 1 - 1 - 1 1 1 1 - - 1 1 - 1 - 1 - - - - - - - 1 1 ]
[ 1 1 - - 1 - 1 - - 1 - - 1 - 1 1 1 1 - - - 1 1 - - - 1 1 - 1 - 1 ]
[ 1 1 - - - 1 - 1 1 - - - - 1 1 1 1 1 - - 1 - - 1 - - 1 1 1 - 1 - ]
[ 1 - 1 - - 1 1 1 - - - - 1 - - - - 1 1 - - 1 - 1 1 1 1 1 - - 1 1 ]
[ 1 - 1 - - 1 - - 1 1 1 1 1 - 1 1 - 1 1 - - 1 - 1 - - - - 1 1 - - ]
[ 1 - - 1 1 1 - - - - - 1 1 1 - 1 - - 1 1 - 1 1 - - - 1 1 1 - 1 - ]
[ 1 - - 1 - - 1 1 1 1 - 1 - - - 1 1 1 - - - 1 1 - 1 1 - - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 3, 29, 36, 33, 35, 61 4)(2, 48, 27, 47, 34, 16, 59, 15)(5, 19, 62, 20, 
        37, 51 30, 52)(6, 26, 7, 44, 38, 58, 39, 12)(8, 22, 64, 53, 40, 54, 32,
        21)(9, 23, 57, 56, 41 55, 25, 24)(10, 60, 43, 14, 42, 28, 11 46)(13, 
        17, 63, 18, 45, 49, 31 50)
    (1 2, 33, 34)(3, 22, 35, 54)(4, 21 36, 53)(5, 45, 37, 13)(6, 49, 38, 
        17)(7, 50, 39, 18)(8, 9, 40, 41)(10, 48, 42, 16)(11 15, 43, 47)(12, 14,
        44, 46)(19, 55, 51 23)(20, 24, 52, 56)(25, 64, 57, 32)(26, 28, 58, 
        60)(27, 61 59, 29)(30, 63, 62, 31)
    (3, 36)(4, 35)(6, 7)(10, 43)(11 42)(15, 16)(17, 18)(19, 20)(21 54)(22, 
        53)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(38, 39)(47, 48)(49, 50)(51 52)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 9> <64, 43>
<32, 39> <64, 188>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - - - 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 - - - 1 1 1 1 - 1 - 1 1 1 - 1 1 1 - - - - 1 - - - - 1 1 - 1 - ]
[ 1 - 1 1 - - - - - 1 - 1 - - - 1 - - 1 1 1 1 1 - 1 1 - 1 1 - 1 - ]
[ 1 1 - - 1 1 1 1 - - - - - - 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 ]
[ 1 - 1 1 1 - 1 1 1 1 1 - - 1 - - - 1 - 1 1 - - - - 1 - - - - 1 1 ]
[ 1 - - - 1 - - - - - 1 - - 1 1 1 - 1 - 1 1 - 1 1 - 1 1 1 1 1 - - ]
[ 1 - 1 1 1 1 - 1 1 - - - 1 - 1 1 - - 1 1 - - - 1 - - - 1 1 - - 1 ]
[ 1 - - - - - - 1 1 - 1 1 1 - - - 1 1 - - 1 1 - 1 1 1 - 1 1 - - 1 ]
[ 1 1 1 - 1 1 1 - 1 - 1 1 - - - 1 - 1 - 1 - 1 1 1 1 - - - - - - - ]
[ 1 1 - 1 1 1 - 1 - 1 1 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 - - - - - - ]
[ 1 1 - 1 - 1 - - 1 1 1 - 1 1 - 1 - - - - 1 1 1 - - - 1 - 1 - - 1 ]
[ 1 1 1 - 1 - - - 1 1 - 1 1 1 1 - - - - - 1 1 - 1 - - - 1 - 1 1 - ]
[ 1 - - - - 1 1 - 1 1 - - - - 1 - 1 - - 1 - 1 1 1 - 1 - - 1 1 1 1 ]
[ 1 - 1 1 - 1 1 - - - 1 1 1 1 1 - 1 - - 1 - 1 - - - 1 1 1 - - - - ]
[ 1 1 - - 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 - - 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 1 1 - - 1 1 - - 1 1 - - - - - - - - - - 1 1 - - 1 1 1 1 1 1 ]
[ 1 1 1 - - 1 - 1 - - - - - 1 - - 1 1 1 1 1 1 - 1 - - 1 - 1 - 1 - ]
[ 1 1 - 1 1 - 1 - - - - - 1 - - - 1 1 1 1 1 1 1 - - - - 1 - 1 - 1 ]
[ 1 1 1 - - - 1 1 - 1 1 - 1 - 1 1 - 1 1 - - 1 - - - 1 - - 1 1 - - ]
[ 1 1 - 1 - - 1 1 1 - - 1 - 1 1 1 1 - - 1 1 - - - 1 - - - 1 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 ]
Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 53, 33, 21)(2, 11 34, 43)(3, 46, 35, 14)(4, 32, 36, 64)(5, 52, 37, 
        20)(6, 39, 38, 7)(8, 27, 40, 59)(9, 19, 41 51)(10, 58, 42, 26)(12, 29, 
        44, 61)(13, 31 45, 63)(15, 28, 47, 60)(16, 17, 48, 49)(18, 55, 50, 
        23)(22, 25, 54, 57)(24, 62, 56, 30)
    (1 38, 33, 6)(2, 20, 34, 52)(3, 50, 35, 18)(4, 14, 36, 46)(5, 45, 37, 
        13)(7, 44, 39, 12)(8, 11 40, 43)(9, 54, 41 22)(10, 21 42, 53)(15, 23,
        47, 55)(16, 56, 48, 24)(17, 19, 49, 51)(25, 59, 57, 27)(26, 60, 58, 
        28)(29, 32, 61 64)(30, 31 62, 63)
    (4, 37)(5, 36)(7, 40)(8, 39)(9, 42)(10, 41)(11 12)(13, 14)(15, 48)(16, 
        47)(21 22)(23, 24)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31
     63)(32, 64)(43, 44)(45, 46)(53, 54)(55, 56)
Order of automorphism group: 128
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 188>
<32, 9> <64, 43>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - 1 1 - - - - 1 1 - - - ]
[ 1 1 1 - 1 1 1 1 - - - - 1 1 1 1 - - - 1 - 1 1 - - - - 1 1 - - - ]
[ 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 - - 1 - - 1 - - 1 - - ]
[ 1 1 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 1 - - 1 - - 1 - - 1 - - ]
[ 1 1 - 1 1 1 - - 1 1 - - - - 1 1 - - 1 - - 1 1 - 1 1 1 - - 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - 1 1 - 1 1 1 - - 1 - - ]
[ 1 1 - 1 1 1 1 1 - - - - - - - - 1 1 1 - 1 - - 1 1 1 - 1 1 - - - ]
[ 1 1 - - - - - - 1 1 1 1 1 1 1 1 - - - - 1 - - 1 1 1 - 1 1 - - - ]
[ 1 1 1 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - - 1 - - - - - 1 1 ]
[ 1 1 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - - 1 - - - - - 1 1 ]
[ 1 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 - 1 - - - - 1 1 ]
[ 1 1 - - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 1 - - 1 1 - 1 - - - - 1 1 ]
[ 1 - 1 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - - - - 1 1 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 1 - - - - 1 1 1 - 1 - 1 - ]
[ 1 - 1 1 1 - - 1 1 - - 1 1 1 - - - - 1 - - 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 - 1 - - 1 1 - - 1 1 - - - 1 1 1 1 - - - 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 1 - - - - 1 1 1 - 1 - 1 - - 1 - 1 1 - ]
[ 1 - - - 1 - - 1 1 - - 1 - - 1 1 1 1 - 1 1 - 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - - 1 1 1 1 - - 1 - 1 - 1 - ]
[ 1 - - - 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 1 1 1 - - 1 - 1 - 1 - ]
[ 1 - 1 1 1 1 - - - - 1 1 - 1 1 - 1 - - - - - 1 1 1 - 1 1 - - - 1 ]
[ 1 - 1 - - - 1 1 1 1 - - 1 - - 1 - 1 1 - - - 1 1 1 - 1 1 - - - 1 ]
[ 1 - - 1 - - 1 1 1 1 - - - 1 1 - 1 - - 1 1 1 - - - 1 1 1 - - - 1 ]
[ 1 - - - 1 1 - - - - 1 1 1 - - 1 - 1 1 1 1 1 - - - 1 1 1 - - - 1 ]
[ 1 - 1 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - - 1 - 1 - - 1 - - 1 1 - 1 ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - - 1 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - - 1 1 - 1 ]
[ 1 - - - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 1 - 1 - 1 1 - - - 1 1 - 1 ]
[ 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - 1 1 1 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 32768 = 2^15
    (1 14, 27, 48, 33, 46, 59, 16)(2, 55, 6, 43, 34, 23, 38, 11)(3, 57, 7, 45, 
        35, 25, 39, 13)(4, 42, 40, 22, 36, 10, 8, 54)(5, 44, 41 24, 37, 12, 9, 
        56)(15, 29, 49, 63, 47, 61 17, 31)(18, 30, 20, 26, 50, 62, 52, 58)(19, 
        32, 21 28, 51 64, 53, 60)
    (2, 4, 3, 6)(5, 9, 7, 8)(10, 13)(14, 19, 20, 18)(15, 17, 21 16)(22, 24, 25,
        23)(26, 28, 29, 27)(30, 31)(34, 36, 35, 38)(37, 41 39, 40)(42, 45)(46, 
        51 52, 50)(47, 49, 53, 48)(54, 56, 57, 55)(58, 60, 61 59)(62, 63)
    (3, 8, 35, 40)(4, 36)(5, 38, 37, 6)(9, 41)(10, 17, 22, 47)(11 19, 55, 
        21)(12, 48, 56, 46)(13, 50, 25, 20)(14, 44, 16, 24)(15, 42, 49, 54)(18, 
        57, 52, 45)(23, 53, 43, 51)(26, 58)(27, 60, 59, 28)(30, 31 62, 63)(32, 
        64)
    (4, 39)(5, 38)(6, 37)(7, 36)(10, 42)(11 43)(12, 44)(13, 45)(14, 15)(16, 
        49)(17, 48)(18, 51)(19, 50)(20, 21)(22, 54)(23, 55)(24, 56)(25, 57)(26, 
        29)(27, 28)(46, 47)(52, 53)(58, 61)(59, 60)
    (4, 7)(5, 6)(10, 12)(11 13)(14, 46)(15, 47)(16, 48)(17, 49)(18, 50)(19, 
        51)(20, 52)(21 53)(22, 56)(23, 57)(24, 54)(25, 55)(26, 61)(27, 60)(28, 
        59)(29, 58)(36, 39)(37, 38)(42, 44)(43, 45)
    (4, 6)(5, 7)(10, 13)(11 12)(14, 21)(15, 20)(16, 18)(17, 19)(22, 23)(24, 
        25)(26, 27)(28, 29)(36, 38)(37, 39)(42, 45)(43, 44)(46, 53)(47, 52)(48, 
        50)(49, 51)(54, 55)(56, 57)(58, 59)(60, 61)
Automorphism group has centre of order: 2
Number of regular subgroups: 3
Number of regular subgroups containing zeta: 3
Number of centrally regular subgroups: 3
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 5> <64, 31>
<32, 9> <64, 43>
<32, 9> <64, 40>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - 1 1 ]
[ 1 1 - - - 1 1 - - - - 1 - 1 - - - - 1 1 1 - 1 - 1 - - 1 1 1 1 1 ]
[ 1 1 - - 1 - - 1 - - 1 - 1 - - - - - 1 1 - 1 - 1 - 1 1 - 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - - - - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 1 1 - - - - 1 1 - - - - ]
[ 1 1 - 1 1 1 1 - - - - 1 - - 1 - 1 1 1 - - 1 - - 1 1 1 - - 1 - - ]
[ 1 1 1 - 1 1 - 1 - - 1 - - - - 1 1 1 - 1 1 - - - 1 1 - 1 1 - - - ]
[ 1 - - - - 1 - - 1 - 1 1 - 1 1 1 1 - - - 1 1 - 1 - 1 - - 1 1 1 - ]
[ 1 - 1 1 - 1 1 1 1 - - - - 1 - - 1 - 1 1 - - - 1 - 1 1 1 - - 1 - ]
[ 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 - - 1 1 ]
[ 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 1 1 - - - - - - 1 1 ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - - - - - - - - - 1 1 ]
[ 1 1 1 1 - 1 - 1 1 1 1 - - 1 - - - - - - - 1 1 - 1 - 1 - 1 1 - - ]
[ 1 1 1 1 1 - 1 - 1 1 - 1 1 - - - - - - - 1 - - 1 - 1 - 1 1 1 - - ]
[ 1 - - - 1 - 1 1 - 1 - - - 1 1 1 1 - - - - - 1 - - 1 1 1 1 1 - 1 ]
[ 1 - 1 1 1 - - - - 1 1 1 - 1 - - 1 - 1 1 1 1 1 - - 1 - - - - - 1 ]
[ 1 1 1 - - - 1 - - - 1 - 1 1 1 - 1 1 - 1 - 1 1 1 - - - 1 - 1 - - ]
[ 1 1 - 1 - - - 1 - - - 1 1 1 - 1 1 1 1 - 1 - 1 1 - - 1 - 1 - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 - 1 - - - 1 1 1 - - - 1 1 - 1 - 1 1 - 1 1 - - 1 1 - - - 1 - 1 ]
[ 1 - 1 - 1 1 - - 1 - 1 1 - - - 1 - 1 1 - - - 1 1 - - 1 1 - 1 - 1 ]
[ 1 - - 1 - - 1 1 1 - 1 1 - - 1 - - 1 - 1 1 1 - - - - 1 1 1 - - 1 ]
[ 1 - - 1 1 1 - - 1 - - - 1 1 1 - - 1 - 1 - - 1 1 1 1 - - 1 - - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 40, 45, 17, 11 19, 6, 41 20, 39, 2, 48, 12, 18, 37, 10)(3, 28, 21 30,
        46, 57, 23, 64, 36, 63, 22, 27, 15, 26, 24, 61)(4, 31 54, 59, 47, 58, 
        56, 29, 35, 60, 53, 62, 14, 25, 55, 32)(5, 42, 33, 8, 13, 49, 43, 51,
     38, 9, 52, 7, 34, 16, 44, 50)
    (1 3, 11 46, 20, 36, 12, 15)(2, 22, 37, 24, 45, 21 6, 23)(4, 44, 47, 33, 
        35, 43, 14, 52)(5, 56, 13, 53, 38, 55, 34, 54)(7, 60, 50, 25, 8, 31 51,
     58)(9, 29, 16, 62, 42, 32, 49, 59)(10, 64, 17, 27, 41 61 48, 30)(18, 
        57, 40, 63, 19, 26, 39, 28)
    (3, 4)(7, 8)(9, 42)(10, 41)(14, 15)(16, 49)(17, 48)(18, 19)(21 54)(22, 
        53)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(35, 36)(39, 40)(46, 47)(50, 51)
Automorphism group has centre of order: 16
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 16> <64, 26>
<32, 17> <64, 44>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 1 1 - - - - - - - - - - 1 1 - - 1 1 1 1 - - 1 1 1 1 ]
[ 1 1 - - - - - - 1 1 1 1 1 1 1 1 - - 1 1 - - 1 1 1 1 - - - - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - - - - - 1 1 1 1 - - 1 1 1 1 - - 1 1 ]
[ 1 1 1 1 - - - - - - 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - - - - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 - - 1 1 - - - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - - - 1 1 1 1 - - 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - - - - - 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 - - 1 1 - - - - - - - - 1 1 - - 1 1 - - - - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - - - - - ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - 1 1 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 - - ]
[ 1 1 1 1 1 1 - - - - 1 1 1 1 - - 1 1 1 1 - - - - - - - - - - 1 1 ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - ]
[ 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 ]
Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 17)(2, 28)(3, 50)(4, 53)(5, 59)(6, 52)(7, 62)(8, 23)(9, 24)(10, 32)(11,
     31)(12, 54)(13, 19)(14, 57)(15, 61)(16, 26)(18, 35)(20, 38)(21 36)(22, 
        44)(25, 46)(27, 37)(29, 47)(30, 39)(33, 49)(34, 60)(40, 55)(41 56)(42, 
        64)(43, 63)(45, 51)(48, 58)
    (1 38, 33, 6)(2, 7, 34, 39)(3, 11 35, 43)(4, 45, 36, 13)(5, 16, 37, 48)(8,
        12, 40, 44)(9, 46, 41 14)(10, 15, 42, 47)(17, 21 49, 53)(18, 59, 50, 
        27)(19, 32, 51 64)(20, 25, 52, 57)(22, 31 54, 63)(23, 60, 55, 28)(24, 
        61 56, 29)(26, 30, 58, 62)
    (2, 35)(3, 34)(4, 5)(6, 39)(7, 38)(8, 41)(9, 40)(10, 11)(13, 14)(15, 47)(16,
        48)(17, 61)(18, 50)(19, 51)(20, 63)(21 23)(22, 26)(24, 27)(29, 49)(30, 
        64)(31 52)(32, 62)(36, 37)(42, 43)(45, 46)(53, 55)(54, 58)(56, 59)
    (17, 58)(18, 57)(19, 60)(20, 59)(21 62)(22, 61)(23, 64)(24, 63)(25, 50)(26,
        49)(27, 52)(28, 51)(29, 54)(30, 53)(31 56)(32, 55)
    (17, 26)(18, 25)(19, 28)(20, 27)(21 30)(22, 29)(23, 32)(24, 31)(49, 58)(50,
        57)(51 60)(52, 59)(53, 62)(54, 61)(55, 64)(56, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 12> <64, 45>
<32, 4> <64, 28>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - - - 1 - - ]
[ 1 1 - 1 1 1 - - - 1 1 1 - - - 1 - 1 1 1 - - - 1 1 1 - - - - 1 - ]
[ 1 - 1 - 1 1 1 - - - 1 1 1 - - - 1 1 - - 1 1 - - - 1 - 1 1 - 1 - ]
[ 1 - 1 1 - 1 - - 1 1 1 - - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 1 - - - 1 1 - 1 - 1 - 1 1 - - 1 1 1 - 1 - - - 1 - ]
[ 1 - 1 1 - - - 1 1 1 - - - 1 1 - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 - ]
[ 1 1 - 1 1 - - 1 - 1 - 1 - - 1 1 - - - - 1 1 1 - - - 1 1 1 - 1 - ]
[ 1 1 - - - 1 1 - 1 - 1 - 1 1 - 1 - - - 1 - 1 1 1 - - 1 1 - - 1 - ]
[ 1 1 - - - - 1 1 1 - - - 1 1 1 1 - 1 1 - 1 - - - 1 1 - - 1 - 1 - ]
[ 1 - - - - 1 - 1 - 1 - 1 1 1 - 1 1 1 1 - - 1 1 1 - - - - 1 1 - - ]
[ 1 - - - 1 - - - 1 1 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 - - 1 - 1 - - ]
[ 1 - - 1 - - 1 - - - 1 1 - 1 1 1 1 - 1 1 1 1 - - - 1 1 - - 1 - - ]
[ 1 1 1 - 1 - - - 1 1 1 - 1 - 1 - - - 1 - - 1 - 1 - 1 1 - 1 1 - - ]
[ 1 1 1 1 - - 1 - - - 1 1 - 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - - ]
[ 1 1 1 - - 1 - 1 - 1 - 1 1 1 - - - - - 1 1 - - - 1 1 1 1 - 1 - - ]
[ 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 1 - - ]
[ 1 - 1 1 1 1 - - - - - - 1 1 1 1 - - - 1 - 1 1 - 1 1 - - 1 - - 1 ]
[ 1 - 1 - 1 - 1 1 - 1 1 - - 1 - 1 - 1 1 1 - - - - - - 1 1 1 - - 1 ]
[ 1 - 1 - - 1 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - - 1 ]
[ 1 - 1 1 - - - 1 1 - 1 1 1 - - 1 - 1 - - 1 1 - 1 1 - 1 - - - - 1 ]
[ 1 1 - 1 - 1 - - 1 - - 1 1 - 1 - 1 1 1 1 - - - - - - 1 1 1 - - 1 ]
[ 1 1 - - 1 1 1 - - 1 - - - 1 1 - 1 1 - - 1 1 - 1 1 - 1 - - - - 1 ]
[ 1 1 - 1 1 - - 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - - 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 - - 1 - 1 1 - 1 1 - - 1 - - 1 ]
[ 1 - - 1 - 1 1 1 - 1 1 - 1 - 1 - - 1 - - - - 1 - - 1 1 - - 1 1 1 ]
[ 1 - - 1 1 - 1 - 1 1 - 1 1 1 - - - - 1 - - 1 - - 1 - - 1 - 1 1 1 ]
[ 1 - - - 1 1 - 1 1 - 1 1 - 1 1 - - - - 1 1 - - 1 - - - - 1 1 1 1 ]
[ 1 1 1 - - 1 - 1 - - 1 - - - 1 1 1 - 1 - - 1 - - 1 - - 1 - 1 1 1 ]
[ 1 1 1 - 1 - - - 1 - - 1 - 1 - 1 1 1 - - - - 1 - - 1 1 - - 1 1 1 ]
[ 1 1 1 1 - - 1 - - 1 - - 1 - - 1 1 - - 1 1 - - 1 - - - - 1 1 1 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
Permutation group acting on a set of cardinality 64
Order = 32768 = 2^15
    (1 2)(3, 20)(4, 19)(5, 22)(6, 23)(7, 21)(8, 25)(9, 24)(10, 18)(11 29)(12, 
        31)(13, 28)(14, 26)(15, 30)(16, 32)(17, 27)(33, 34)(35, 52)(36, 51)(37, 
        54)(38, 55)(39, 53)(40, 57)(41 56)(42, 50)(43, 61)(44, 63)(45, 60)(46, 
        58)(47, 62)(48, 64)(49, 59)
    (2, 3, 14, 5)(4, 16, 9, 15)(6, 11 10, 13)(7, 17, 8, 12)(18, 23, 25, 21)(19,
        20, 22, 24)(26, 30)(28, 31)(34, 35, 46, 37)(36, 48, 41 47)(38, 43, 42, 
        45)(39, 49, 40, 44)(50, 55, 57, 53)(51 52, 54, 56)(58, 62)(60, 63)
    (3, 6, 35, 38)(4, 42, 36, 10)(5, 40, 37, 8)(7, 41 39, 9)(11 43)(12, 
        45)(13, 44)(14, 15)(17, 49)(18, 55, 50, 23)(19, 54, 51 22)(20, 56, 52, 
        24)(21 57, 53, 25)(26, 58)(27, 60)(28, 59)(29, 31)(32, 64)(46, 47)(61, 63)
    (3, 7, 5, 10, 35, 39, 37, 42)(4, 40, 41 6, 36, 8, 9, 38)(11 45, 49, 
        44)(12, 43, 13, 17)(14, 47, 46, 15)(16, 48)(18, 22, 21 20, 50, 54, 53, 
        52)(19, 55, 24, 25, 51 23, 56, 57)(26, 30, 58, 62)(27, 28, 61 31)(29, 
        63, 59, 60)(32, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 18> <64, 47>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - 1 1 ]
[ 1 1 - - - 1 1 - - - - 1 - 1 - - - - 1 1 1 - 1 - 1 - - 1 1 1 1 1 ]
[ 1 1 - - 1 - - 1 - - 1 - 1 - - - - - 1 1 - 1 - 1 - 1 1 - 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - - - - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 1 1 - - - - 1 1 - - - - ]
[ 1 1 - 1 1 1 1 - - - - 1 - - 1 - 1 1 1 - - 1 - - 1 1 1 - - 1 - - ]
[ 1 1 1 - 1 1 - 1 - - 1 - - - - 1 1 1 - 1 1 - - - 1 1 - 1 1 - - - ]
[ 1 - - - - 1 - - 1 - 1 1 - 1 1 1 1 - - - 1 1 - 1 - 1 - - 1 1 1 - ]
[ 1 - 1 1 - 1 1 1 1 - - - - 1 - - 1 - 1 1 - - - 1 - 1 1 1 - - 1 - ]
[ 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 - - 1 1 ]
[ 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 1 1 - - - - - - 1 1 ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - - - - - - - - - 1 1 ]
[ 1 1 1 1 - 1 - 1 1 1 1 - - 1 - - - - - - - 1 1 - 1 - 1 - 1 1 - - ]
[ 1 1 1 1 1 - 1 - 1 1 - 1 1 - - - - - - - 1 - - 1 - 1 - 1 1 1 - - ]
[ 1 - - - 1 - 1 1 - 1 - - - 1 1 1 1 - - - - - 1 - - 1 1 1 1 1 - 1 ]
[ 1 - 1 1 1 - - - - 1 1 1 - 1 - - 1 - 1 1 1 1 1 - - 1 - - - - - 1 ]
[ 1 1 1 - - - 1 - - - 1 - 1 1 1 - 1 1 - 1 - 1 1 1 - - - 1 - 1 - - ]
[ 1 1 - 1 - - - 1 - - - 1 1 1 - 1 1 1 1 - 1 - 1 1 - - 1 - 1 - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 - - 1 - - 1 1 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 1 - - 1 - - 1 ]
[ 1 - - 1 1 1 - - 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 - - 1 1 1 - - 1 ]
[ 1 - 1 - - - 1 1 1 - 1 1 - - - 1 - 1 1 - 1 1 - - - - 1 1 - 1 - 1 ]
[ 1 - 1 - 1 1 - - 1 - - - 1 1 - 1 - 1 1 - - - 1 1 1 1 - - - 1 - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 40, 34, 49, 11 18, 5, 42, 20, 39, 13, 16, 12, 19, 38, 9)(2, 17, 43, 50,
        37, 10, 52, 7, 45, 48, 44, 51 6, 41 33, 8)(3, 63, 21 27, 47, 58, 56, 
        29, 36, 28, 22, 30, 14, 25, 55, 32)(4, 60, 54, 62, 46, 57, 23, 64, 35, 
        31 53, 59, 15, 26, 24, 61)
    (1 3, 20, 36)(2, 23, 45, 24)(4, 33, 35, 52)(5, 22, 38, 21)(6, 53, 37, 
        54)(7, 32, 8, 29)(9, 60, 42, 31)(10, 63, 41 28)(11 14, 12, 47)(13, 56,
        34, 55)(15, 43, 46, 44)(16, 57, 49, 26)(17, 58, 48, 25)(18, 59, 19, 
        62)(27, 51 30, 50)(39, 64, 40, 61)
    (3, 4)(7, 8)(9, 42)(10, 41)(14, 15)(16, 49)(17, 48)(18, 19)(21 54)(22, 
        53)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(35, 36)(39, 40)(46, 47)(50, 51)
Automorphism group has centre of order: 4
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 19> <64, 39>
<32, 18> <64, 47>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - ]
[ 1 1 - 1 - 1 1 - 1 - 1 1 1 1 1 1 - - - - - - 1 - 1 - - - 1 - 1 - ]
[ 1 1 1 - 1 - - 1 - 1 1 1 1 1 1 1 - - - - - 1 - 1 - - - 1 - 1 - - ]
[ 1 1 - - - - - - - - 1 1 - - - - 1 1 1 1 - 1 1 1 1 - - 1 1 1 1 - ]
[ 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - 1 ]
[ 1 1 - 1 - 1 - 1 - 1 1 1 - - - - - - - - 1 1 1 - - 1 1 - - 1 1 1 ]
[ 1 1 1 - 1 - 1 - 1 - 1 1 - - - - - - - - 1 - - 1 1 1 1 1 1 - - 1 ]
[ 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 1 1 1 - - - - - - - - 1 1 1 - 1 - 1 - - - - - 1 1 1 1 1 - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - 1 - 1 1 1 1 1 - 1 - - - - - ]
[ 1 1 1 1 - - 1 1 - - - - 1 1 - - - - 1 1 - - - 1 1 - 1 - - 1 1 1 ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - 1 1 - 1 1 - - - 1 1 1 - - 1 ]
[ 1 1 1 - 1 - 1 - 1 - - - - - 1 1 - 1 - 1 - 1 1 - - 1 - - - 1 1 1 ]
[ 1 1 - 1 - 1 - 1 - 1 - - - - 1 1 - 1 - 1 - - - 1 1 1 - 1 1 - - 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - 1 1 - - 1 - - - - 1 - 1 1 1 1 - ]
[ 1 - 1 1 - - 1 1 - - 1 - 1 - 1 - - 1 1 - 1 1 1 - - - - 1 1 - - 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 - - 1 1 - 1 1 - 1 1 - - ]
[ 1 - - 1 1 - 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 - - 1 1 1 1 - - 1 - ]
[ 1 - - - 1 1 - - 1 1 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - - - 1 1 1 ]
[ 1 - - - 1 1 1 1 - - 1 - - 1 - 1 1 - - 1 1 1 - 1 - - - - 1 - 1 1 ]
[ 1 - 1 1 - - - - 1 1 1 - - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - - 1 1 - 1 1 - 1 1 - - ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - - 1 1 1 1 - - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - - - 1 - 1 1 - - 1 - 1 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 1 1 - - 1 - 1 - 1 1 - - ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 1 - - 1 1 - - 1 - ]
[ 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 1 - - - 1 - - 1 - 1 - 1 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 1 - - - - 1 1 - - 1 1 - - 1 1 ]
[ 1 - 1 1 - - - - 1 1 - 1 - 1 1 - - - 1 1 1 1 - 1 - 1 - - 1 - 1 - ]
[ 1 - - - 1 1 1 1 - - - 1 - 1 1 - - - 1 1 1 - 1 - 1 1 - 1 - 1 - - ]

Permutation group acting on a set of cardinality 64
Order = 2048 = 2^11
    (1 2, 33, 34)(3, 7, 35, 39)(4, 8, 36, 40)(5, 38, 37, 6)(9, 30, 41 62)(10, 
        59, 42, 27)(11 60, 43, 28)(12, 31 44, 63)(13, 32, 45, 64)(14, 58, 46, 
        26)(15, 57, 47, 25)(16, 29, 48, 61)(17, 21 49, 53)(18, 24, 50, 56)(19, 
        23, 51 55)(20, 22, 52, 54)
    (2, 3)(4, 37)(5, 36)(6, 38)(7, 57, 8, 26)(9, 64, 41 32)(10, 61 42, 29)(11,
     30, 43, 62)(12, 22, 45, 21)(13, 53, 44, 54)(14, 27, 46, 59)(15, 60, 47, 
        28)(16, 31 48, 63)(17, 23)(18, 50)(20, 56)(24, 52)(25, 40, 58, 39)(34, 
        35)(49, 55)
    (9, 48)(10, 43)(11 42)(12, 45)(13, 44)(14, 47)(15, 46)(16, 41)(25, 58)(26, 
        57)(27, 60)(28, 59)(29, 62)(30, 61)(31 64)(32, 63)
    (3, 4)(9, 16)(10, 11)(12, 13)(17, 20)(25, 26)(27, 28)(29, 30)(35, 36)(41,
     48)(42, 43)(44, 45)(49, 52)(57, 58)(59, 60)(61 62)
    (7, 8)(9, 16)(10, 11)(14, 15)(21 22)(27, 28)(29, 30)(31 32)(39, 40)(41,
     48)(42, 43)(46, 47)(53, 54)(59, 60)(61 62)(63, 64)
Automorphism group has centre of order: 4
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 47>
<32, 18> <64, 47>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 - - - - - 1 - - 1 1 1 1 - 1 - - - 1 1 1 1 1 - 1 - - - 1 1 ]
[ 1 - 1 - 1 1 1 1 1 - - 1 - - 1 - 1 - 1 1 - - - - 1 - 1 - 1 1 - - ]
[ 1 1 1 1 1 - 1 - - 1 1 - 1 1 1 - 1 - - - - - - - - - 1 1 1 - - 1 ]
[ 1 1 1 1 - 1 - 1 1 - - 1 1 1 - 1 - 1 - - - - - - - - 1 1 - 1 1 - ]
[ 1 1 1 1 1 - 1 - 1 1 - - - - - 1 - - 1 - 1 1 - - 1 1 1 - - - 1 - ]
[ 1 1 1 1 - 1 - 1 1 - 1 - - - 1 - - - - 1 1 - 1 - 1 1 - 1 - - - 1 ]
[ 1 1 - 1 1 1 1 - - - 1 1 1 - - - 1 - - - - - 1 1 1 1 - - - 1 1 - ]
[ 1 1 1 - 1 1 - 1 - 1 - 1 - 1 - - - 1 - - - 1 - 1 1 1 - - 1 - - 1 ]
[ 1 1 - - 1 - - 1 1 1 1 1 1 - 1 1 - - - 1 - 1 1 - - - - - 1 - 1 - ]
[ 1 1 - - - 1 1 - 1 1 1 1 - 1 1 1 - - 1 - 1 - - 1 - - - - - 1 - 1 ]
[ 1 - - 1 1 1 - - 1 1 - - 1 1 1 - 1 1 - 1 1 1 - - - 1 - - - 1 - - ]
[ 1 - - 1 - - 1 1 - 1 - 1 - - 1 - - - - 1 - 1 - 1 - 1 1 1 - 1 1 1 ]
[ 1 - - - 1 - 1 1 1 - 1 - - 1 - - - 1 - - 1 - 1 - - 1 1 - 1 1 1 1 ]
[ 1 - 1 1 1 - - - - - 1 1 - 1 1 1 - 1 1 1 - - 1 1 - 1 1 - - - - - ]
[ 1 - - 1 1 1 - - - - - - - 1 1 1 - - 1 - - 1 1 - 1 - - 1 1 1 1 1 ]
[ 1 - - 1 - - 1 1 1 1 1 1 - 1 - - 1 1 1 - - 1 1 - 1 - - 1 - - - - ]
[ 1 - 1 1 - 1 1 1 - 1 - - - 1 - 1 1 - - 1 1 - 1 1 - - - - 1 - 1 - ]
[ 1 - - - - 1 - - 1 1 1 - 1 1 - - - - 1 1 - - - 1 1 1 1 1 1 - 1 - ]
[ 1 - 1 - 1 1 1 1 - - 1 - 1 - 1 - - 1 1 - 1 1 - 1 - - - 1 - - 1 - ]
[ 1 - 1 - - - - - - 1 1 1 - - 1 1 1 1 - - 1 - - - 1 1 - 1 1 1 1 - ]
[ 1 1 - - - 1 1 - 1 - - - - - 1 1 1 1 - - - 1 1 1 - 1 1 1 1 - - - ]
[ 1 1 1 - 1 - - - 1 1 - - - - - - 1 1 1 1 - - 1 1 - - - 1 - 1 1 1 ]
[ 1 1 - 1 - 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - 1 - 1 - 1 1 ]
[ 1 1 - - 1 - - 1 - - 1 - - 1 - 1 1 - - 1 1 1 - 1 1 - 1 1 - 1 - - ]
[ 1 1 - 1 - - - 1 - 1 - - 1 - 1 - - 1 1 - 1 - 1 1 1 - 1 - 1 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 1 1 - - - 1 - - - - 1 1 1 - - - - 1 1 1 1 1 - - 1 - 1 1 1 - - ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 - - - 1 1 - 1 ]
[ 1 - - - 1 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 1 - - - 1 ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 53, 33, 21)(2, 44, 34, 12)(3, 26, 35, 58)(4, 15, 36, 47)(5, 20, 37, 
        52)(6, 11 38, 43)(7, 23, 39, 55)(8, 48, 40, 16)(9, 62, 41 30)(10, 18, 
        42, 50)(13, 56, 45, 24)(14, 29, 46, 61)(17, 25, 49, 57)(19, 63, 51,
     31)(22, 59, 54, 27)(28, 32, 60, 64)
    (1 3, 33, 35)(2, 29, 34, 61)(4, 24, 36, 56)(5, 32, 37, 64)(6, 50, 38, 
        18)(7, 46, 39, 14)(8, 57, 40, 25)(9, 13, 41 45)(10, 59, 42, 27)(11 30,
        43, 62)(12, 26, 44, 58)(15, 20, 47, 52)(16, 23, 48, 55)(17, 31 49, 
        63)(19, 22, 51 54)(21 60, 53, 28)
Automorphism group has centre of order: 4
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 18> <64, 47>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - 1 - 1 - - 1 1 - 1 - 1 - - - 1 1 - - - 1 1 1 - - 1 1 1 ]
[ 1 1 - - 1 - 1 - - - 1 1 1 - 1 - - - 1 - - 1 - - 1 1 - 1 1 - 1 1 ]
[ 1 1 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 1 1 ]
[ 1 1 - - 1 - 1 - - - - - - 1 - 1 1 1 - 1 1 - 1 1 1 1 - 1 1 - - - ]
[ 1 1 - - - 1 - 1 - - - - 1 - 1 - 1 1 1 - - 1 1 1 1 1 1 - - 1 - - ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 ]
[ 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 ]
[ 1 1 1 1 1 - 1 - 1 1 - - - 1 - 1 - - 1 - - 1 - - 1 1 1 - - 1 - - ]
[ 1 1 1 1 - 1 - 1 1 1 - - 1 - 1 - - - - 1 1 - - - 1 1 - 1 1 - - - ]
[ 1 1 - - 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 - - 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - - 1 - 1 1 1 1 1 - 1 - 1 1 1 1 - - 1 - - - - - 1 1 - - - ]
[ 1 1 - - 1 - 1 - 1 1 1 1 1 - 1 - 1 1 - 1 1 - - - - - 1 - - 1 - - ]
[ 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - ]
[ 1 - 1 - - - 1 1 - 1 - 1 - - 1 1 1 - 1 1 - - - 1 1 - 1 1 - - - 1 ]
[ 1 - 1 - - - 1 1 1 - 1 - - - 1 1 1 - - - 1 1 1 - 1 - - - 1 1 1 - ]
[ 1 - 1 - - - 1 1 1 - - 1 1 1 - - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 - - - 1 - 1 - - 1 1 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - - 1 1 - 1 - 1 1 1 - - 1 - ]
[ 1 - 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 ]
[ 1 - 1 - 1 1 - - - 1 - 1 1 1 - - 1 - - - 1 1 - 1 1 - - - 1 1 - 1 ]
[ 1 - - 1 1 1 - - 1 - 1 - - - 1 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 ]
[ 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - - - 1 1 1 - - 1 1 1 - - 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - 1 1 - - 1 - - 1 - - 1 1 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - - 1 - - 1 1 1 - 1 - 1 1 - - 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 48, 46, 15)(2, 37, 35, 8)(3, 40, 34, 5)(4, 6, 41 39)(7, 36, 38, 9)(10, 
        12, 45, 43)(11 42, 44, 13)(14, 47, 33, 16)(17, 25, 49, 57)(18, 20, 50, 
        52)(19, 32, 51 64)(21 60, 53, 28)(22, 61 54, 29)(23, 56, 55, 24)(26, 
        63, 58, 31)(27, 30, 59, 62)
    (1 17, 2, 58, 13, 28, 6, 20, 46, 19, 35, 62, 42, 29, 39, 23)(3, 30, 10, 61,
     7, 55, 33, 49, 34, 26, 45, 60, 38, 52, 14, 51)(4, 21 43, 59, 8, 25, 16,
        18, 41 22, 12, 63, 37, 32, 47, 24)(5, 64, 15, 56, 36, 53, 11 27, 40, 
        57, 48, 50, 9, 54, 44, 31)
    (2, 3)(6, 7)(11 12)(15, 16)(17, 28, 19, 29)(18, 27, 24, 31)(20, 26, 23, 
        30)(21 25, 22, 32)(34, 35)(38, 39)(43, 44)(47, 48)(49, 60, 51 61)(50, 
        59, 56, 63)(52, 58, 55, 62)(53, 57, 54, 64)
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26,
        58)(27, 59)(28, 60)(29, 61)(30, 62)(31 63)(32, 64)
    (17, 19)(18, 24)(20, 23)(21 22)(25, 32)(26, 30)(27, 31)(28, 29)(49, 51)(50,
        56)(52, 55)(53, 54)(57, 64)(58, 62)(59, 63)(60, 61)
Automorphism group has centre of order: 4
Number of regular subgroups: 8
Number of regular subgroups containing zeta: 8
Number of centrally regular subgroups: 8
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 19> <64, 48>
<32, 19> <64, 39>
<32, 19> <64, 48>
<32, 19> <64, 39>
<32, 18> <64, 38>
<32, 18> <64, 47>
<32, 18> <64, 38>
<32, 18> <64, 47>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - 1 1 - 1 1 - - 1 1 1 1 - - - - - - 1 1 - 1 1 - ]
[ 1 1 1 1 - - - - 1 - - 1 - - 1 1 1 1 1 1 - - - - 1 1 - - 1 - - 1 ]
[ 1 - - 1 - - - 1 - - 1 1 - 1 - 1 1 - - - 1 - - 1 1 1 1 1 1 - 1 - ]
[ 1 - - 1 - - 1 - - 1 - 1 1 - - 1 - 1 - - - 1 1 - 1 1 1 1 - 1 - 1 ]
[ 1 - 1 - - - 1 - 1 - 1 - - 1 1 - - 1 - - 1 - 1 - 1 - - 1 1 1 1 1 ]
[ 1 - 1 - 1 1 1 - - - 1 1 - 1 - 1 - 1 1 1 - 1 - 1 1 - - 1 - - - - ]
[ 1 - - 1 1 - 1 1 1 1 1 - - - - 1 1 1 - 1 1 - - 1 - - - - - 1 - 1 ]
[ 1 - 1 - 1 - 1 1 - - - 1 1 1 1 - 1 1 - 1 1 - 1 - - 1 1 - - - - - ]
[ 1 - 1 - 1 - - - - 1 1 1 - - 1 - - - - 1 - 1 - 1 - 1 1 - 1 1 1 1 ]
[ 1 - - 1 - 1 1 1 - 1 1 1 - - 1 - 1 1 1 - - 1 1 - - - - - 1 - 1 - ]
[ 1 1 1 1 - - 1 1 - - - - - - - - - - 1 1 1 1 1 1 - - 1 1 1 - - 1 ]
[ 1 1 1 1 1 1 - - - - - - - - - - 1 1 - - 1 1 1 1 1 1 - - - 1 1 - ]
[ 1 1 1 1 - 1 1 1 - - - 1 1 1 1 1 - - - - - - - 1 - - - - - 1 1 1 ]
[ 1 1 1 - - 1 1 1 1 1 1 1 - - - - - - 1 - 1 - - - 1 1 1 - - 1 - - ]
[ 1 - - - - 1 - - 1 - - 1 1 1 - - 1 1 1 - 1 1 - 1 - - 1 - 1 1 - 1 ]
[ 1 - 1 1 1 1 - 1 1 1 - - - 1 1 - 1 - - - - 1 - - 1 - 1 1 - - - 1 ]
[ 1 1 - 1 1 1 1 - 1 - 1 - 1 - 1 - - 1 - - - - - 1 - 1 1 1 1 - - - ]
[ 1 1 - - - 1 - - - 1 1 1 1 - 1 - 1 - - 1 1 - 1 1 1 - - 1 - - - 1 ]
[ 1 1 - - 1 - 1 1 1 - - 1 1 - - - 1 - - 1 - 1 - - 1 - - 1 1 1 1 - ]
[ 1 - - 1 1 1 - 1 - - 1 - 1 1 - - - - 1 1 - - 1 - 1 1 - - 1 1 - 1 ]
[ 1 - 1 - 1 1 1 - - 1 - - 1 - - 1 1 - 1 - 1 - - - - 1 - 1 1 - 1 1 ]
[ 1 - - 1 - - 1 - 1 1 - - 1 1 1 - - - 1 1 1 1 - 1 1 1 - - - - 1 - ]
[ 1 - 1 - - - - 1 1 - 1 - 1 - 1 1 1 - 1 - - 1 1 1 - 1 - 1 - 1 - - ]
[ 1 1 1 1 1 - - - 1 1 1 1 1 1 - 1 - - - - 1 1 1 - - - - - 1 - - - ]
[ 1 - - 1 1 1 - - 1 - - 1 - - 1 1 - - 1 1 1 - 1 - - - 1 1 - 1 1 - ]
[ 1 1 - - - 1 - 1 - 1 - - - 1 1 1 - 1 - 1 1 1 - - - 1 - 1 1 1 - - ]
[ 1 1 - - 1 - - 1 1 1 - 1 - 1 - - - 1 1 - - - 1 1 - 1 - 1 - - 1 1 ]
[ 1 1 - - - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - - - 1 1 ]
[ 1 - 1 - - 1 - 1 1 1 - - 1 - - 1 - 1 - 1 - - 1 1 1 - 1 - 1 - 1 - ]
[ 1 1 - - 1 - - 1 - - 1 - 1 - 1 1 - 1 1 - 1 1 - - 1 - 1 - - - 1 1 ]
[ 1 1 - - 1 - 1 - - 1 - - - 1 1 1 1 - 1 - - - 1 1 1 - 1 - 1 1 - - ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 38, 33, 6)(2, 24, 34, 56)(3, 17, 35, 49)(4, 23, 36, 55)(5, 53, 37, 
        21)(7, 58, 39, 26)(8, 29, 40, 61)(9, 20, 41 52)(10, 51 42, 19)(11 62,
        43, 30)(12, 54, 44, 22)(13, 50, 45, 18)(14, 31 46, 63)(15, 27, 47, 
        59)(16, 60, 48, 28)(25, 64, 57, 32)
    (1 2, 25, 40, 47, 10, 20, 28, 62, 63, 22, 39, 50, 5, 55, 35, 33, 34, 57, 8,
        15, 42, 52, 60, 30, 31 54, 7, 18, 37, 23, 3)(4, 53, 45, 26, 12, 14, 43,
        16, 41 51 59, 61 64, 24, 38, 17, 36, 21 13, 58, 44, 46, 11 48, 9, 
        19, 27, 29, 32, 56, 6, 49)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 - 1 - 1 - 1 1 1 1 1 1 1 - - - - 1 - 1 - 1 - - 1 - - - - - ]
[ 1 1 - 1 - 1 - 1 1 1 1 1 1 1 - 1 - - - - 1 - 1 - 1 1 - - - - - - ]
[ 1 1 - - 1 1 1 1 - - - - 1 1 - - - 1 - - - 1 1 - - 1 1 - 1 1 1 - ]
[ 1 - - - - - - 1 1 - 1 1 1 1 - 1 1 1 1 1 - 1 - - - - - 1 1 - 1 - ]
[ 1 1 1 1 - - 1 1 - - 1 1 - - - - - 1 1 1 1 1 - - - 1 - - - 1 - 1 ]
[ 1 1 1 1 - - 1 1 - - 1 1 - - - - 1 - - - - - 1 1 1 - 1 1 1 - 1 - ]
[ 1 - 1 1 1 1 - 1 1 - - - - - - 1 - - 1 1 - 1 - 1 1 1 1 - - - 1 - ]
[ 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 - 1 1 1 - - 1 1 - - 1 - - - 1 ]
[ 1 - - - - - - - 1 - - 1 - 1 - - - - - 1 1 1 1 1 1 1 1 1 1 1 - 1 ]
[ 1 1 1 1 1 - - - 1 - - - 1 - - 1 1 1 - - 1 1 1 1 - - - 1 - 1 - - ]
[ 1 - - - 1 - - 1 - - 1 1 1 - 1 1 - 1 1 - - - 1 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 1 1 1 1 1 1 - - 1 - 1 1 1 - - - - - - - - - - - 1 1 1 - 1 ]
[ 1 - 1 - 1 1 - 1 1 1 1 - - - - - 1 1 - 1 1 - 1 - - - 1 - 1 - - 1 ]
[ 1 1 - 1 1 1 - - - 1 - 1 - - 1 - - 1 1 1 - 1 1 - 1 - - 1 1 - - - ]
[ 1 - 1 1 - - - 1 - 1 - - 1 1 1 - 1 - 1 - - 1 1 - - 1 1 1 - - - 1 ]
[ 1 1 1 - 1 - - - 1 1 1 - 1 - - - - - 1 - - - - - 1 1 - 1 1 1 1 1 ]
[ 1 - 1 1 - - - 1 - 1 - - 1 1 1 - - 1 - 1 1 - - 1 1 - - - 1 1 1 - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - 1 - 1 1 1 - - 1 - - 1 ]
[ 1 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 1 - - - - 1 - - 1 - - 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 - - 1 1 1 - 1 - - - 1 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 1 1 1 - - - ]
[ 1 - - - 1 1 - 1 - 1 1 1 - - 1 - 1 - - - 1 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 - 1 - - - - 1 1 1 ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 1 - - 1 1 - 1 - - 1 1 - - ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 - 1 1 1 - 1 - 1 - 1 1 - - - - 1 - ]
[ 1 1 1 - - 1 - - - - 1 - - 1 1 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 ]
[ 1 1 1 - - 1 - - - - 1 - - 1 1 1 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 1 - 1 - - - - 1 1 1 1 - 1 - - ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - - 1 - 1 1 1 1 - - - - 1 - 1 1 ]
[ 1 1 - 1 1 - - - - - - 1 1 - 1 1 1 - - 1 1 - - - - 1 1 - 1 - 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 63, 33, 31)(2, 21 34, 53)(3, 4, 35, 36)(5, 29, 37, 61)(6, 46, 38, 
        14)(7, 11 39, 43)(8, 24, 40, 56)(9, 10, 41 42)(12, 48, 44, 16)(13, 51,
     45, 19)(15, 18, 47, 50)(17, 54, 49, 22)(20, 60, 52, 28)(23, 58, 55, 
        26)(25, 64, 57, 32)(27, 30, 59, 62)
    (1 62, 43, 48, 5, 54, 2, 9, 55, 57, 3, 19, 8, 60, 47, 6, 33, 30, 11 16, 
        37, 22, 34, 41 23, 25, 35, 51 40, 28, 15, 38)(4, 32, 26, 10, 21 49, 
        29, 44, 7, 27, 63, 14, 18, 20, 56, 45, 36, 64, 58, 42, 53, 17, 61 12, 
        39, 59, 31 46, 50, 52, 24, 13)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - - 1 1 1 - - - - - 1 1 1 - - - - - 1 1 1 1 1 - - - ]
[ 1 - - - - 1 1 - 1 1 1 1 1 - - - 1 1 - 1 1 1 - - 1 1 - - - 1 - - ]
[ 1 1 - 1 1 - - 1 - 1 - 1 1 - - - 1 - - 1 - - - 1 - 1 - - 1 1 1 1 ]
[ 1 1 - - - 1 - - 1 1 1 - - 1 1 - 1 - 1 1 - - 1 1 - - 1 - - 1 1 - ]
[ 1 1 - 1 - 1 - 1 - - - 1 - - 1 1 1 - - - 1 - 1 - 1 1 1 1 - 1 - - ]
[ 1 1 - - - - - 1 - 1 1 1 - 1 - 1 - 1 1 1 1 - 1 - 1 - - - 1 - - 1 ]
[ 1 - 1 1 - 1 1 - - 1 - - - 1 1 - - - - 1 1 - - 1 1 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 1 - - 1 - 1 1 - - - - 1 1 1 - - - 1 - 1 1 - 1 1 - ]
[ 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - - 1 1 - - 1 - - 1 - 1 - - 1 1 1 ]
[ 1 - - 1 1 1 1 - 1 - - - - 1 - 1 1 1 - - - - 1 - 1 - - - 1 1 1 1 ]
[ 1 1 - - 1 1 1 - - - 1 - - - 1 1 - - 1 1 - 1 - - - 1 - 1 1 1 - 1 ]
[ 1 - - - 1 - 1 - - 1 - 1 - 1 1 1 1 1 1 - 1 - - 1 - 1 - 1 - - 1 - ]
[ 1 - - 1 - - - 1 1 - - - 1 1 1 1 1 1 1 1 - 1 - - - 1 1 - - - - 1 ]
[ 1 1 1 - - - 1 1 1 - 1 - - - - 1 - 1 - - 1 - - 1 - 1 1 - - 1 1 1 ]
[ 1 - - 1 1 - - - - 1 1 - 1 - 1 1 - 1 - - 1 1 1 1 - - 1 - 1 1 - - ]
[ 1 1 - - - 1 1 1 - 1 - - 1 1 - - - 1 - - - 1 1 - - 1 1 1 1 - 1 - ]
[ 1 1 1 1 - - - - 1 - - 1 - 1 1 - - 1 - 1 1 1 - - - - - 1 1 1 1 - ]
[ 1 1 1 - 1 - - - - - 1 - 1 1 1 - 1 - - - 1 1 1 - 1 1 - - - - 1 1 ]
[ 1 1 1 - - - 1 - - - - 1 1 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 1 - - ]
[ 1 - - - 1 1 - 1 1 - 1 1 - 1 - - 1 - - - 1 1 - 1 - - 1 1 1 - - 1 ]
[ 1 - 1 - - - 1 1 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - - - - 1 1 1 - 1 ]
[ 1 - - 1 - - 1 1 1 - 1 1 - - 1 - - - 1 - - 1 1 1 1 1 - - 1 - 1 - ]
[ 1 - 1 1 - 1 - - - - 1 1 1 1 - - - 1 1 - - - 1 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 1 - - 1 - - 1 1 - - 1 - - 1 1 1 - 1 - - 1 1 - 1 - 1 - ]
[ 1 1 - - 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 - - 1 1 1 - 1 1 - - - 1 ]
[ 1 - 1 - - 1 - 1 - - 1 - 1 - 1 1 1 1 - 1 - - - 1 1 - - 1 1 - 1 - ]
[ 1 - 1 1 - - 1 - - 1 1 1 - - - 1 1 - - 1 - 1 1 - - - 1 1 - - 1 1 ]
[ 1 - 1 - 1 - - 1 1 1 - - - 1 - 1 - - - 1 - 1 1 1 1 1 - 1 - 1 - - ]
[ 1 1 - 1 - 1 - - 1 1 - - 1 - - 1 - - 1 - 1 1 - 1 1 - - 1 - - 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 29760 = 2^6 * 3 * 5 * 31
    (1 2, 33, 34)(3, 58, 35, 26)(4, 22, 36, 54)(5, 43, 37, 11)(6, 60, 38, 
        28)(7, 52, 39, 20)(8, 27, 40, 59)(9, 61 41 29)(10, 46, 42, 14)(12, 63,
        44, 31)(13, 56, 45, 24)(15, 17, 47, 49)(16, 55, 48, 23)(18, 62, 50, 
        30)(19, 21 51 53)(25, 64, 57, 32)
    (2, 35, 47, 55, 16, 24, 57, 27, 42, 5, 11 49, 63, 21 39)(3, 15, 23, 48, 
        56, 25, 59, 10, 37, 43, 17, 31 53, 7, 34)(4, 8, 54, 12, 30, 38, 13, 20,
        14, 50, 60, 58, 61 64, 9)(6, 45, 52, 46, 18, 28, 26, 29, 32, 41 36, 
        40, 22, 44, 62)
    (3, 51 9)(4, 30, 17)(5, 24, 40)(6, 39, 42)(7, 10, 38)(8, 37, 56)(11 27, 
        45)(12, 64, 23)(13, 43, 59)(14, 20, 60)(15, 50, 54)(16, 57, 63)(18, 22, 
        47)(19, 41 35)(21 26, 29)(25, 31 48)(28, 46, 52)(32, 55, 44)(36, 62, 
        49)(53, 58, 61)
    (3, 15, 60, 25, 43)(4, 61 56, 23, 7)(5, 32, 6, 49, 26)(8, 12, 10, 30, 
        53)(9, 54, 20, 48, 13)(11 35, 47, 28, 57)(14, 31 59, 51 50)(16, 45, 
        41 22, 52)(17, 58, 37, 64, 38)(18, 46, 63, 27, 19)(21 40, 44, 42, 
        62)(24, 55, 39, 36, 29)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - - - - - - - 1 1 1 1 1 1 1 1 1 - - 1 1 - - 1 1 1 - - ]
[ 1 1 - - 1 1 1 1 1 1 1 1 - - - - - - - - 1 - - 1 1 - - 1 1 1 - - ]
[ 1 1 1 - 1 - - - 1 - - - 1 - - - 1 - - - 1 1 1 - 1 1 1 - 1 1 1 - ]
[ 1 1 - 1 - - - 1 - - - 1 - - - 1 - - - 1 - 1 1 1 - 1 1 1 1 1 - 1 ]
[ 1 - 1 1 - 1 - - - 1 - - - 1 - - - 1 - - 1 1 - 1 1 1 - 1 1 - 1 1 ]
[ 1 - - - 1 1 - 1 1 1 - 1 1 1 - 1 1 1 - 1 - 1 - - - 1 - - 1 - - - ]
[ 1 1 1 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - ]
[ 1 1 - 1 - - - 1 1 1 1 - 1 - - - 1 1 1 - - 1 1 1 1 - - - - - - 1 ]
[ 1 1 1 - 1 - - - - 1 1 1 - - - 1 - 1 1 1 1 1 1 - - - - 1 - - 1 - ]
[ 1 - - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - - 1 - - 1 - 1 1 1 - 1 1 ]
[ 1 - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 1 1 - 1 - - 1 - 1 - - - ]
[ 1 - - - 1 - 1 1 - 1 - - - - 1 - 1 - 1 1 1 1 - 1 - 1 - - - 1 1 1 ]
[ 1 - 1 1 - - 1 - 1 1 - 1 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 - 1 - - ]
[ 1 1 - 1 1 - - - - 1 1 1 1 1 1 - 1 - - - - - - 1 - 1 1 1 - - 1 - ]
[ 1 1 1 - - - - 1 1 1 1 - - 1 1 1 - - - 1 1 - - - 1 1 1 - - - - 1 ]
[ 1 1 1 - 1 1 1 - - - - 1 1 - - - - 1 1 1 - - - 1 1 1 1 - - - - 1 ]
[ 1 - 1 1 1 1 - 1 - - 1 - - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - ]
[ 1 - - - - 1 - - 1 - 1 1 1 1 - 1 - - 1 - 1 - 1 1 - 1 - - - 1 1 1 ]
[ 1 1 - 1 - 1 1 1 1 - - - - - - 1 1 1 1 - 1 - - - - 1 1 1 - - 1 - ]
[ 1 - 1 - - - 1 1 - 1 - 1 1 1 - - 1 - 1 - 1 - 1 - - - 1 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - 1 1 - - - 1 - 1 - - 1 1 - - 1 1 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - - 1 1 1 - 1 - 1 1 - - - 1 - 1 - 1 - 1 - - 1 1 - 1 1 - ]
[ 1 - - 1 1 - 1 - - - 1 1 - 1 - 1 1 1 - - 1 1 - - 1 - 1 - - 1 - 1 ]
[ 1 1 - - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - - 1 1 ]
[ 1 1 - - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - - - 1 1 1 1 - - - - 1 1 - 1 - 1 1 - - 1 ]
[ 1 - - 1 - - 1 1 - - 1 1 1 - 1 - - 1 - 1 1 - 1 - 1 1 - - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 1 1 - - - - 1 1 1 - 1 - - 1 1 - ]
[ 1 - - 1 1 1 - - 1 1 - - 1 - 1 - - 1 - 1 1 - 1 - - - 1 1 - 1 - 1 ]
Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 39, 30, 22, 3, 48, 58, 11 27, 14, 24, 49, 2, 20, 64, 4, 33, 7, 62, 54, 
        35, 16, 26, 43, 59, 46, 56, 17, 34, 52, 32, 36)(5, 28, 6, 29, 51 8, 15,
        57, 44, 10, 45, 23, 18, 9, 53, 63, 37, 60, 38, 61 19, 40, 47, 25, 12, 
        42, 13, 55, 50, 41 21 31)
    (2, 35)(3, 34)(4, 39)(5, 6)(7, 36)(8, 9)(11 14)(12, 45)(13, 44)(15, 50)(16,
        17)(18, 47)(19, 53)(20, 22)(21 51)(23, 57)(24, 26)(25, 55)(27, 59)(28, 
        60)(29, 63)(30, 32)(31 61)(37, 38)(40, 41)(43, 46)(48, 49)(52, 54)(56, 
        58)(62, 64)
    (6, 39)(7, 38)(13, 46)(14, 45)(15, 48)(16, 47)(20, 53)(21 52)(23, 56)(24, 
        55)(25, 58)(26, 57)(29, 62)(30, 61)(31 64)(32, 63)
    (4, 5)(11 12)(17, 18)(19, 22)(23, 24)(25, 26)(29, 30)(31 32)(36, 37)(43, 
        44)(49, 50)(51 54)(55, 56)(57, 58)(61 62)(63, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 - - 1 1 1 1 - - 1 1 - 1 - - - - - - 1 - 1 - - - - ]
[ 1 1 1 1 1 1 - 1 1 - 1 1 - 1 1 - - 1 - 1 - - - - 1 - 1 - - - - - ]
[ 1 - 1 1 1 1 - 1 - - - - - - - - - 1 1 - 1 - 1 - 1 1 - 1 1 1 - 1 ]
[ 1 - - - - - - 1 1 1 1 1 1 1 1 1 - 1 1 - 1 - 1 - - - - 1 - - - 1 ]
[ 1 - 1 1 - 1 1 1 1 1 1 - - - - 1 - 1 - - 1 1 - 1 - - - - 1 - 1 - ]
[ 1 - - - - 1 - - - - 1 - 1 1 - 1 - 1 1 1 - - - 1 1 1 1 1 1 - 1 - ]
[ 1 1 - - 1 1 1 1 1 1 - - 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - 1 - - 1 - 1 - - - - 1 1 1 1 1 1 - - 1 - - 1 1 - - 1 - - 1 ]
[ 1 1 1 - - - - 1 - 1 - - 1 - 1 1 1 1 - 1 1 - - - 1 1 - - - 1 1 - ]
[ 1 1 - 1 - - 1 - - 1 1 - - - - - 1 1 - 1 1 - 1 1 1 - 1 1 - - - 1 ]
[ 1 1 1 - - - - 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - 1 1 1 - - 1 - ]
[ 1 1 - 1 - - - 1 - 1 1 1 1 - - - - - 1 - - 1 - - 1 - 1 - 1 1 1 1 ]
[ 1 1 1 - - - 1 - 1 - 1 1 - 1 - - - - - 1 1 - - - - 1 - 1 1 1 1 1 ]
[ 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - - 1 1 1 1 1 1 - 1 - - - 1 - - ]
[ 1 1 1 - 1 - - - - 1 - 1 - 1 - 1 - - 1 1 1 1 1 1 1 - - - 1 - - - ]
[ 1 - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 1 1 1 - 1 - 1 - - - - - 1 - 1 ]
[ 1 - 1 - 1 - - - 1 1 1 - - - 1 1 - - - - - 1 - 1 1 1 1 1 - 1 - 1 ]
[ 1 1 1 - - 1 1 1 - - - - 1 - 1 1 - - - 1 - 1 1 - - - 1 1 1 - - 1 ]
[ 1 1 - 1 1 - 1 1 - - - - - 1 1 1 - - 1 - 1 - - 1 - - 1 1 - 1 1 - ]
[ 1 1 - - 1 1 - - - 1 1 - - 1 1 - 1 1 - - - 1 1 - - - - 1 1 1 1 - ]
[ 1 1 - - 1 1 - - 1 - - 1 1 - - 1 1 1 - - 1 - - 1 - - 1 - 1 1 - 1 ]
[ 1 - - - 1 1 1 - - 1 - 1 - - 1 - - 1 1 1 1 1 - - - 1 1 - - - 1 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 1 1 1 - - 1 - - - - 1 1 - 1 1 - 1 1 - - ]
[ 1 - - - - 1 1 1 1 1 - 1 - - 1 - 1 - 1 1 - - - 1 1 - - 1 1 1 - - ]
[ 1 - 1 1 - 1 - - - - - 1 1 1 1 - 1 - - - 1 1 - 1 1 - - 1 - - 1 1 ]
[ 1 - - - - 1 1 1 - - 1 1 - 1 - 1 1 - - - 1 1 1 - 1 1 1 - - 1 - - ]
[ 1 - 1 1 - 1 - - 1 1 - - - 1 - 1 1 - 1 1 - - 1 - - - 1 - - 1 1 1 ]
[ 1 - - 1 1 - - 1 - - 1 1 - - 1 1 1 - - 1 - - 1 1 - 1 - - 1 - 1 1 ]
[ 1 - - 1 1 - - 1 1 1 - - 1 1 - - 1 - - 1 1 1 - - - 1 1 1 1 - - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 37, 43, 53, 32, 54, 12, 4, 33, 5, 11 21 64, 22, 44, 36)(2, 50, 6, 10, 
        19, 23, 57, 45, 34, 18, 38, 42, 51 55, 25, 13)(3, 46, 58, 56, 52, 9, 7,
        17, 35, 14, 26, 24, 20, 41 39, 49)(8, 62, 28, 16, 63, 15, 27, 29, 40, 
        30, 60, 48, 31 47, 59, 61)
    (1 2, 33, 34)(3, 48, 35, 16)(4, 18, 36, 50)(5, 45, 37, 13)(6, 12, 38, 
        44)(7, 15, 39, 47)(8, 56, 40, 24)(9, 27, 41 59)(10, 54, 42, 22)(11 57,
        43, 25)(14, 28, 46, 60)(17, 63, 49, 31)(19, 32, 51 64)(20, 61 52, 
        29)(21 23, 53, 55)(26, 62, 58, 30)
    (2, 3)(4, 37)(5, 36)(6, 39)(7, 38)(9, 10)(11 12)(13, 14)(15, 16)(17, 
        50)(18, 49)(19, 20)(21 22)(23, 56)(24, 55)(25, 58)(26, 57)(27, 60)(28, 
        59)(29, 62)(30, 61)(31 63)(32, 64)(34, 35)(41 42)(43, 44)(45, 46)(47, 
        48)(51 52)(53, 54)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 ]
[ 1 - - 1 - 1 1 - 1 1 1 1 1 - - 1 - 1 1 - - - - - 1 1 1 1 - - - - ]
[ 1 - - 1 - 1 1 - - - - - 1 - - 1 - 1 1 - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 - - 1 - 1 1 - ]
[ 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - - - - - 1 1 - 1 1 - 1 - - 1 ]
[ 1 1 1 - 1 - - - 1 - - - 1 - - - 1 1 1 - 1 1 1 - 1 1 1 - 1 - - - ]
[ 1 1 - 1 - 1 - - - - 1 - - 1 - - 1 1 - 1 1 - 1 1 1 1 - 1 - 1 - - ]
[ 1 - 1 1 - - 1 - - - - 1 - - 1 - 1 - 1 1 - 1 1 1 1 - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 - 1 - 1 1 1 1 1 - 1 - - - - - 1 - 1 - - - 1 1 1 - ]
[ 1 - - - 1 - - - 1 - - - - 1 1 1 - 1 1 1 - - - 1 - 1 1 1 1 1 1 - ]
[ 1 1 1 - 1 1 1 - 1 - 1 1 - - - 1 - - - 1 1 1 - 1 - - - 1 1 - - - ]
[ 1 - 1 1 1 - 1 1 1 1 - 1 - 1 - - - 1 - - 1 - 1 1 - 1 - - - - 1 - ]
[ 1 1 - 1 1 1 - 1 1 1 1 - - - 1 - - - 1 - - 1 1 1 - - 1 - - 1 - - ]
[ 1 1 - 1 1 1 - 1 - - - 1 1 1 - 1 1 - 1 1 1 - - - - - 1 - - - 1 - ]
[ 1 - 1 1 1 - 1 1 - - 1 - 1 - 1 1 1 1 - 1 - 1 - - - 1 - - - 1 - - ]
[ 1 1 1 - 1 1 1 - - 1 - - 1 1 1 - - 1 1 1 - - 1 - - - - 1 - - - 1 ]
[ 1 - - - 1 - - - - 1 1 1 1 - - - - - - 1 1 1 1 - - 1 1 1 - 1 1 1 ]
[ 1 - - - - 1 1 1 1 - - - 1 1 1 - 1 - - - 1 1 - 1 - 1 1 1 - - - 1 ]
[ 1 1 1 - - - - 1 1 - 1 1 1 - - - 1 1 1 - - - - 1 - - - 1 - 1 1 1 ]
[ 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 1 1 - - - - 1 - - 1 1 - 1 ]
[ 1 1 - 1 - - 1 - 1 1 1 - - 1 - - 1 1 - 1 - 1 - - - - 1 - 1 - 1 1 ]
[ 1 - - 1 1 - - 1 - - 1 1 - 1 1 - - 1 1 - 1 1 - - 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 1 - - 1 - - 1 1 - - 1 - - 1 1 1 - - 1 1 - - 1 ]
[ 1 1 - - - - 1 1 - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - 1 1 - - ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 1 - - - - 1 1 - 1 - 1 1 1 - - 1 - 1 - ]
[ 1 - 1 - - - 1 1 1 - 1 - - 1 - 1 - - 1 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 1 - - - 1 - 1 1 - - 1 - - 1 1 - 1 - 1 - 1 1 - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 1 - - - 1 - 1 - 1 - 1 1 1 - - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 1 - - 1 - 1 - - 1 1 - - - 1 1 1 - 1 - 1 - - 1 1 1 - - - - 1 1 ]
[ 1 1 - - - - 1 1 - 1 - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 1 - - ]
[ 1 - 1 - - 1 - 1 - 1 1 - - - 1 1 1 1 - - 1 - 1 - - - 1 1 1 - 1 - ]
Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 52, 24, 51)(2, 39, 23, 42)(3, 49, 5, 50)(4, 44, 6, 43)(7, 55, 10, 34)(8,
        57, 9, 58)(11 36, 12, 38)(13, 61 14, 62)(15, 63, 16, 64)(17, 37, 18, 
        35)(19, 33, 20, 56)(21 60, 22, 59)(25, 41 26, 40)(27, 53, 28, 54)(29, 
        46, 30, 45)(31 48, 32, 47)
    (3, 36)(4, 35)(5, 6)(7, 9)(8, 42)(10, 40)(11 46)(12, 13)(14, 43)(15, 
        50)(16, 17)(18, 47)(19, 54)(20, 21)(22, 51)(23, 55)(24, 56)(25, 63)(26, 
        32)(27, 29)(28, 62)(30, 60)(31 57)(37, 38)(39, 41)(44, 45)(48, 49)(52, 
        53)(58, 64)(59, 61)
    (7, 42)(10, 39)(11 44)(12, 43)(17, 50)(18, 49)(19, 52)(20, 51)(25, 58)(26, 
        57)(27, 60)(28, 59)(29, 62)(30, 61)(31 64)(32, 63)
    (8, 9)(13, 14)(15, 16)(21 22)(25, 26)(27, 28)(29, 30)(31 32)(40, 41)(45, 
        46)(47, 48)(53, 54)(57, 58)(59, 60)(61 62)(63, 64)
Order of automorphism group: 512
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 - - 1 1 - - 1 - 1 1 1 - 1 1 - - - - - - - - - 1 - ]
[ 1 1 1 1 1 1 - 1 1 - - 1 1 - 1 - 1 1 1 - - 1 - - - - - - - - - 1 ]
[ 1 - 1 1 - 1 1 1 1 - - - - 1 1 1 - - - 1 - 1 1 - 1 1 - - 1 - - - ]
[ 1 - - - - 1 - - 1 - 1 1 - 1 - - 1 1 - 1 - 1 1 - - - 1 1 1 - 1 1 ]
[ 1 - 1 1 - 1 - 1 1 1 1 - - - 1 - - - - - 1 - - 1 - 1 1 1 - - 1 1 ]
[ 1 - - - - 1 - 1 - - 1 - 1 1 1 - 1 1 1 1 1 - - 1 - 1 - - 1 1 - - ]
[ 1 1 - - - 1 1 - 1 - 1 1 - - - 1 - 1 1 - 1 - 1 1 1 1 - - - - - 1 ]
[ 1 1 - - 1 - - 1 - 1 1 1 - - 1 - 1 - - 1 - 1 1 1 1 1 - - - - 1 - ]
[ 1 - 1 1 - 1 - - - 1 1 1 1 - - - - - 1 1 1 1 1 - 1 - - 1 - 1 - - ]
[ 1 - - - - 1 1 1 - 1 - - 1 - 1 1 1 1 - - - - 1 - 1 - - 1 - 1 1 1 ]
[ 1 1 1 1 1 - - - - - 1 - - 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - 1 ]
[ 1 1 1 1 - 1 - - - - - 1 1 - - 1 1 - - - - - 1 1 - 1 1 - 1 1 1 - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 - - 1 1 - - 1 1 1 1 ]
[ 1 1 - - 1 1 - 1 - 1 - 1 - 1 1 1 - - 1 - 1 - 1 - - - 1 1 1 - - - ]
[ 1 1 - - 1 1 1 - 1 - 1 - 1 - 1 1 - - - 1 - 1 - 1 - - 1 1 - 1 - - ]
[ 1 - 1 - 1 1 1 1 - - - 1 - 1 - - - - 1 1 - - - 1 1 - 1 - - 1 1 1 ]
[ 1 - 1 - - - - - 1 1 - 1 - 1 1 1 1 1 - - 1 1 - 1 1 - 1 - - 1 - - ]
[ 1 1 - 1 - - 1 - - - - 1 1 1 1 - 1 - - 1 1 - - - 1 1 1 1 - - - 1 ]
[ 1 1 1 - - - - 1 - - 1 - 1 1 - 1 - 1 1 - - 1 - - 1 1 1 1 - - 1 - ]
[ 1 - - 1 - - 1 - - 1 1 1 1 1 1 1 - - 1 - - 1 - 1 - - - - 1 - 1 1 ]
[ 1 - - 1 1 1 1 - - 1 - - - - - - 1 1 1 - - 1 - 1 1 1 1 1 1 - - - ]
[ 1 1 - 1 - - - 1 1 1 1 - - - - 1 1 - 1 1 - - - - 1 - 1 - 1 1 - 1 ]
[ 1 1 1 - - - 1 - 1 1 - 1 - - 1 - - 1 1 1 - - - - - 1 - 1 1 1 1 - ]
[ 1 1 - 1 - - 1 1 1 - - - - 1 - - 1 - 1 - 1 1 1 1 - - - 1 - 1 1 - ]
[ 1 1 1 - - - 1 1 - 1 - - 1 - - - - 1 - 1 1 1 1 1 - - 1 - 1 - - 1 ]
[ 1 - - 1 1 - - - - - - - - - 1 1 - 1 1 1 1 1 1 - - 1 1 - - 1 1 1 ]
[ 1 - - 1 1 - 1 1 1 1 1 1 1 1 - - - 1 - - - - 1 - - 1 1 - - 1 - - ]
[ 1 - 1 - 1 - 1 1 - - 1 1 - - - 1 1 - - - 1 1 - - - 1 - 1 1 1 - 1 ]
[ 1 - 1 - 1 - - - 1 1 - - 1 1 - 1 1 - 1 1 - - 1 1 - 1 - 1 - - - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 1 - 1 - ]
Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 60, 21 19, 25, 55, 49, 47, 31 48, 50, 56, 58, 20, 22, 27, 33, 28, 53, 
        51 57, 23, 17, 15, 63, 16, 18, 24, 26, 52, 54, 59)(2, 32, 3, 13, 42, 6,
        4, 41 29, 14, 30, 40, 5, 39, 43, 12, 34, 64, 35, 45, 10, 38, 36, 9, 61,
     46, 62, 8, 37, 7, 11 44)
    (1 2, 33, 34)(3, 22, 35, 54)(4, 50, 36, 18)(5, 25, 37, 57)(6, 56, 38, 
        24)(7, 51 39, 19)(8, 23, 40, 55)(9, 16, 41 48)(10, 26, 42, 58)(11 53,
        43, 21)(12, 60, 44, 28)(13, 20, 45, 52)(14, 47, 46, 15)(17, 30, 49, 
        62)(27, 64, 59, 32)(29, 31 61 63)
    (2, 3)(4, 37)(5, 36)(6, 39)(7, 38)(8, 9)(10, 43)(11 42)(12, 13)(15, 16)(17,
        50)(18, 49)(19, 20)(21 54)(22, 53)(23, 24)(25, 26)(27, 60)(28, 59)(29, 
        62)(30, 61)(31 63)(32, 64)(34, 35)(40, 41)(44, 45)(47, 48)(51 52)(55, 
        56)(57, 58)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - 1 - 1 - 1 1 - - - 1 - - - 1 1 - - - 1 - - 1 1 - - 1 1 ]
[ 1 1 1 1 1 1 1 - 1 - 1 - - - - 1 1 1 - 1 - - 1 - - - - - 1 - 1 - ]
[ 1 - - - - 1 1 - 1 1 1 - - 1 1 - - 1 1 - 1 - 1 - - 1 - - - 1 1 1 ]
[ 1 - - - 1 - - - 1 1 1 1 1 - - 1 1 - 1 - - - - 1 - 1 1 - 1 - 1 1 ]
[ 1 - - - 1 1 - 1 - 1 1 - 1 1 - 1 - - - 1 1 1 1 - 1 - 1 - - - 1 - ]
[ 1 - - - 1 - 1 1 1 - 1 1 - - 1 - 1 - - 1 1 1 - 1 - - - 1 - 1 1 - ]
[ 1 1 1 1 1 - 1 1 - - 1 1 - 1 - 1 - - - - 1 - - - - 1 1 - - 1 - 1 ]
[ 1 1 1 - - - - 1 1 1 1 - 1 1 1 - 1 - - 1 - - - - 1 1 - - 1 1 - - ]
[ 1 - - 1 1 1 - 1 1 - - - 1 1 1 - 1 1 - - 1 - - - - - 1 1 1 - - 1 ]
[ 1 1 1 - 1 - 1 - - 1 - - 1 1 - - 1 1 1 1 1 1 - 1 - - - - - - - 1 ]
[ 1 1 1 - - - - 1 1 - - 1 1 - 1 1 - 1 - - 1 - 1 1 1 - - - - - 1 1 ]
[ 1 - - 1 - 1 1 1 - - 1 1 1 - - - - 1 1 1 1 - - 1 1 1 - - 1 - - - ]
[ 1 - - 1 1 - - 1 - 1 - - - - 1 1 - 1 - 1 - 1 1 1 - 1 - - 1 1 - 1 ]
[ 1 - - 1 - - 1 1 1 1 - 1 - 1 - 1 1 - 1 1 - - 1 - 1 - - 1 - - - 1 ]
[ 1 1 1 - 1 1 - 1 1 1 - 1 - - - - - - 1 - 1 1 1 - - 1 - 1 1 - - - ]
[ 1 - 1 - - 1 1 1 - 1 - 1 - - - - 1 1 - - - 1 - - 1 - 1 - 1 1 1 1 ]
[ 1 - 1 - - - 1 1 - - 1 - 1 - 1 1 1 1 1 - - 1 1 - - 1 1 1 - - - - ]
[ 1 1 - 1 - - - - - 1 - 1 1 - - - 1 1 - 1 1 - 1 - - 1 1 1 - 1 1 - ]
[ 1 1 - 1 - - 1 1 1 - - - 1 1 - - - - 1 - - 1 1 1 - - 1 - 1 1 1 - ]
[ 1 1 - 1 1 1 - - - - 1 1 1 - 1 - 1 - 1 - - 1 1 - 1 - - - - 1 - 1 ]
[ 1 - 1 - - 1 - - - - - 1 - 1 1 1 1 - 1 1 1 - 1 1 - - 1 - 1 1 - - ]
[ 1 1 - 1 - 1 1 - 1 1 - - - - 1 1 1 - - - 1 1 - 1 1 1 1 - - - - - ]
[ 1 - 1 - 1 1 1 - 1 - - - 1 - - - - - - 1 - - 1 1 1 1 1 1 - 1 - 1 ]
[ 1 - 1 1 - - - - - - 1 - - 1 - - 1 - - - 1 1 1 1 1 1 - 1 1 - 1 1 ]
[ 1 - 1 1 1 - 1 - - 1 - - 1 - 1 1 - - 1 - 1 - - - 1 - - 1 1 1 1 - ]
[ 1 1 - - - 1 1 - - - - 1 1 1 1 1 - - - 1 - 1 - - - 1 - 1 1 - 1 1 ]
[ 1 - 1 1 - 1 - - 1 1 1 1 1 1 - 1 - 1 - - - 1 - 1 - - - 1 - 1 - - ]
[ 1 1 - - - - - - 1 - 1 - - - - 1 - 1 1 1 1 1 - - 1 - 1 1 1 1 - 1 ]
[ 1 1 - - 1 - 1 - - 1 1 1 - 1 1 - - 1 - - - - 1 1 1 - 1 1 1 - - - ]
[ 1 1 - - 1 1 - 1 - - - - - 1 - 1 1 1 1 - - - - 1 1 1 - 1 - 1 1 - ]
[ 1 - 1 1 1 - - - 1 - - 1 - 1 1 - - 1 1 1 - 1 - - 1 1 1 - - - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 37, 2, 41 58, 29, 12, 36, 28, 23, 17, 38, 21 22, 14, 27, 33, 5, 34, 9,
        26, 61 44, 4, 60, 55, 49, 6, 53, 54, 46, 59)(3, 50, 51 25, 62, 43, 52,
        8, 10, 31 45, 48, 47, 56, 64, 7, 35, 18, 19, 57, 30, 11 20, 40, 42, 
        63, 13, 16, 15, 24, 32, 39)
    (1 3, 33, 35)(2, 32, 34, 64)(4, 31 36, 63)(5, 7, 37, 39)(6, 43, 38, 11)(8,
        23, 40, 55)(9, 56, 41 24)(10, 28, 42, 60)(12, 13, 44, 45)(14, 19, 46, 
        51)(15, 26, 47, 58)(16, 61 48, 29)(17, 20, 49, 52)(18, 59, 50, 27)(21,
     30, 53, 62)(22, 57, 54, 25)
Order of automorphism group: 64
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 1 1 1 - - - 1 1 - - 1 - 1 - 1 - - 1 - - 1 - - - 1 1 ]
[ 1 1 1 1 - - - 1 - 1 - 1 1 1 1 - 1 - 1 - - 1 - - - 1 1 1 - - - - ]
[ 1 - 1 1 - 1 - 1 - - - - 1 - - 1 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 ]
[ 1 1 - - 1 - 1 1 - 1 1 1 - - - 1 1 - - - 1 - - - 1 1 - 1 - 1 - 1 ]
[ 1 - - - 1 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 1 - 1 1 - 1 - - 1 - ]
[ 1 1 - - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 1 1 - - - 1 ]
[ 1 - - - 1 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - - - - - 1 1 1 1 1 - ]
[ 1 - - - 1 - 1 - - - 1 1 1 1 1 1 1 1 1 - 1 1 1 - - - - - 1 - - - ]
[ 1 - - - - 1 1 1 - 1 1 - 1 - - - - - 1 - - 1 1 1 1 1 1 - 1 1 - - ]
[ 1 - 1 1 - 1 1 - - - 1 1 - 1 - - 1 - - - - - 1 - - - 1 1 1 1 1 1 ]
[ 1 - 1 1 1 - 1 - 1 1 - - 1 - - - 1 - - 1 1 - 1 1 - 1 - 1 1 - - - ]
[ 1 1 1 1 1 - 1 1 - - - - - 1 - - - 1 - 1 1 1 1 - 1 - 1 - - 1 - - ]
[ 1 1 - - - - 1 - - 1 - - - 1 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 1 1 1 ]
[ 1 1 1 1 1 1 1 - 1 1 1 - 1 - 1 1 - - - - - 1 - - - - - - - 1 1 - ]
[ 1 - 1 1 1 1 1 1 - - 1 1 - - 1 - - 1 1 1 - - - 1 - 1 - - - - - 1 ]
[ 1 - 1 - - - - - 1 - 1 1 1 - 1 - 1 - - 1 1 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 1 1 - - - - 1 - - 1 - 1 - - 1 1 1 1 1 - - 1 1 - - - 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 1 1 1 - - 1 - 1 - 1 - - - 1 - 1 - - 1 1 1 - - 1 ]
[ 1 1 1 - - - 1 - 1 - 1 - - - 1 - - 1 1 - 1 - - - 1 1 1 1 1 - 1 - ]
[ 1 1 1 - - 1 - 1 1 - - 1 - 1 1 1 - - - - 1 - 1 1 - 1 - - 1 1 - - ]
[ 1 1 - 1 1 1 - - 1 - - 1 - - - - 1 1 1 - - 1 - 1 1 - - 1 1 1 - - ]
[ 1 - 1 - 1 - - - 1 1 - 1 1 1 - - - 1 1 - - - 1 - 1 1 - - - 1 1 1 ]
[ 1 - - 1 - 1 - - 1 1 1 - - 1 - 1 1 1 1 1 1 - - - - 1 1 - - 1 - - ]
[ 1 - - 1 - - 1 1 1 1 - 1 - - 1 1 1 1 - - - - 1 1 1 - 1 - - - 1 - ]
[ 1 1 - 1 - 1 - - - 1 1 - 1 1 1 - - 1 - - 1 - 1 1 1 - - 1 - - - 1 ]
[ 1 1 1 - 1 1 - - - 1 - - - - 1 1 1 - 1 1 - - 1 - 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - - - - - - - - - 1 1 - - 1 - 1 1 1 1 - 1 1 1 - 1 1 1 ]
[ 1 1 - 1 1 - - - - - 1 1 1 1 - 1 - - - 1 - - - 1 1 1 1 - 1 - 1 - ]
[ 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - - 1 1 1 1 - 1 1 - - 1 - - 1 - ]
[ 1 - - 1 - - 1 1 1 - - - 1 1 1 1 - - 1 1 - - - - 1 - - 1 1 1 - 1 ]
[ 1 1 - 1 - - - 1 1 1 1 1 - - - - - - 1 1 1 1 1 - - - - - 1 - 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 3, 33, 35)(2, 6, 34, 38)(4, 48, 36, 16)(5, 24, 37, 56)(7, 17, 39, 49)(8,
        57, 40, 25)(9, 29, 41 61)(10, 32, 42, 64)(11 22, 43, 54)(12, 21 44, 
        53)(13, 23, 45, 55)(14, 18, 46, 50)(15, 28, 47, 60)(19, 62, 51 30)(20, 
        26, 52, 58)(27, 63, 59, 31)
    (1 2, 40, 4, 30, 28, 41 24, 45, 53, 7, 58, 42, 63, 43, 14, 33, 34, 8, 36, 
        62, 60, 9, 56, 13, 21 39, 26, 10, 31 11 46)(3, 50, 22, 27, 32, 52, 
        49, 44, 23, 5, 29, 15, 51 16, 57, 38, 35, 18, 54, 59, 64, 20, 17, 12, 
        55, 37, 61 47, 19, 48, 25, 6)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 18> <64, 54>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 - - - 1 1 - 1 1 1 - - - 1 1 - - 1 1 - 1 - 1 - 1 1 1 - - 1 - - ]
[ 1 - - - 1 - 1 1 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - 1 1 - 1 1 - - - ]
[ 1 - 1 1 - - - 1 1 - - 1 - 1 - 1 - 1 1 - - - 1 1 - - - 1 1 1 - 1 ]
[ 1 1 - 1 - - - 1 - 1 1 - - - 1 1 - - 1 1 - 1 1 - - 1 - - - 1 1 1 ]
[ 1 - - - - 1 1 1 - 1 - 1 1 1 - - 1 1 - 1 - 1 - - - 1 - 1 - 1 - 1 ]
[ 1 1 1 - - - - 1 - - 1 1 1 - 1 - - 1 - - 1 1 - 1 1 1 - - 1 1 - - ]
[ 1 - 1 1 1 - - - 1 1 - - 1 - - 1 1 - - - 1 1 - 1 - 1 1 - - 1 - 1 ]
[ 1 1 1 - - 1 - - - 1 1 - 1 1 - - - - 1 - 1 1 1 - - - 1 1 1 - - 1 ]
[ 1 - 1 1 - - 1 - - - - 1 1 1 1 - 1 - 1 - 1 - 1 - 1 1 - - - - 1 1 ]
[ 1 1 1 - - - 1 - 1 - - - 1 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - ]
[ 1 1 - 1 - 1 - - 1 - - - - 1 1 1 1 1 - - 1 1 - - - 1 - 1 1 - 1 - ]
[ 1 1 - 1 1 - - - - 1 - - 1 1 1 - 1 - - 1 - - 1 1 1 - - 1 1 1 - - ]
[ 1 1 - - 1 - - 1 - - - 1 1 1 - 1 - - 1 1 1 - - 1 - 1 1 1 - - 1 - ]
[ 1 - - 1 - 1 - 1 1 - 1 1 1 - - - 1 - - 1 1 - 1 - - - 1 - 1 1 1 - ]
[ 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - - 1 - 1 1 - - - - 1 1 1 ]
[ 1 - 1 - 1 - 1 - 1 1 - 1 - - 1 - - - 1 1 1 1 - - - - - 1 1 1 1 - ]
[ 1 - - 1 1 1 - - - - - 1 1 - 1 1 - 1 1 1 - 1 - - 1 - 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 - - - 1 - - 1 1 1 1 - 1 1 - - - 1 - 1 1 - 1 1 - - ]
[ 1 - - 1 1 - 1 - - 1 1 1 - 1 - - - 1 - - - 1 1 1 - 1 1 - 1 - 1 - ]
[ 1 1 - - - 1 1 - 1 1 - 1 - - - 1 - - - 1 1 - 1 1 1 1 - - 1 - - 1 ]
[ 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 1 - - - - 1 1 1 1 - 1 1 - - 1 - ]
[ 1 - - 1 - - 1 1 1 - 1 - - 1 1 - - - - 1 1 1 - 1 1 - 1 1 - - - 1 ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 1 - 1 1 - - - 1 - - - 1 - 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 - 1 - 1 1 1 - - - - 1 - - 1 - 1 - 1 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 - - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 ]
[ 1 1 - - 1 - 1 - - - 1 1 - - 1 1 1 1 - - 1 - 1 - - - 1 1 - 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 10752 = 2^9 * 3 * 7
    (1 6, 23)(2, 24, 8)(3, 25, 7)(4, 9, 22)(5, 30, 31)(10, 14, 13)(11 29, 
        19)(12, 21 26)(15, 17, 27)(16, 18, 20)(33, 38, 55)(34, 56, 40)(35, 57, 
        39)(36, 41 54)(37, 62, 63)(42, 46, 45)(43, 61 51)(44, 53, 58)(47, 49, 
        59)(48, 50, 52)
    (2, 3, 36)(4, 34, 35)(5, 31 30)(6, 49, 20)(7, 16, 44)(8, 46, 13)(9, 15, 
        53)(10, 57, 27)(11 24, 28)(12, 39, 48)(14, 45, 40)(17, 52, 38)(18, 55, 
        61)(19, 22, 58)(21 41 47)(23, 29, 50)(25, 59, 42)(26, 51 54)(37, 63, 
        62)(43, 56, 60)
    (5, 32)(6, 56)(7, 39)(8, 40)(9, 25)(10, 53)(11 20)(12, 51)(13, 18)(14, 
        58)(15, 17)(16, 29)(19, 44)(21 42)(22, 54)(23, 55)(24, 38)(26, 46)(27, 
        60)(28, 59)(30, 63)(31 62)(37, 64)(41 57)(43, 52)(45, 50)(47, 49)(48, 
        61)
    (5, 6, 15, 19, 21 16, 7)(8, 31 25, 27, 12, 20, 29)(9, 28, 13, 10, 14, 22, 
        32)(11 26, 23, 30, 24, 17, 18)(37, 38, 47, 51 53, 48, 39)(40, 63, 57, 
        59, 44, 52, 61)(41 60, 45, 42, 46, 54, 64)(43, 58, 55, 62, 56, 49, 50)
Automorphism group has centre of order: 2
Number of regular subgroups: 10
Number of regular subgroups containing zeta: 10
Number of centrally regular subgroups: 10
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 33> <64, 82>
<32, 33> <64, 82>
<32, 21> <64, 55>
<32, 26> <64, 70>
<32, 29> <64, 70>
<32, 23> <64, 70>
<32, 28> <64, 70>
<32, 35> <64, 70>
<32, 32> <64, 70>
<32, 25> <64, 70>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - - - 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 ]
[ 1 1 - - - - 1 1 - - 1 1 - - - - - - 1 1 - - 1 1 1 1 - - 1 1 1 1 ]
[ 1 1 - - 1 - - 1 1 1 1 - 1 - 1 1 - - 1 1 - 1 - 1 - 1 1 - - - - - ]
[ 1 1 - - - 1 1 - 1 1 - 1 - 1 1 1 - - 1 1 1 - 1 - 1 - - 1 - - - - ]
[ 1 - - - - 1 - - 1 1 1 1 - 1 1 - 1 - - - 1 1 - 1 - 1 - - 1 - 1 1 ]
[ 1 - 1 1 - 1 1 1 - - - - - 1 1 - 1 - 1 1 - - - 1 - 1 1 1 1 - - - ]
[ 1 1 1 - 1 1 - 1 - 1 1 - - - - - 1 1 - 1 1 - - - 1 1 - 1 - - 1 - ]
[ 1 1 - 1 1 1 1 - 1 - - 1 - - - - 1 1 1 - - 1 - - 1 1 1 - - - - 1 ]
[ 1 - - 1 - - - - 1 - 1 1 1 1 1 - - 1 - 1 - - - - 1 1 1 1 - 1 1 - ]
[ 1 - - 1 1 1 1 1 1 - - - - - 1 - - 1 - 1 1 1 1 1 - - - - - 1 1 - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - - - - - - - - - 1 1 ]
[ 1 1 1 1 - 1 - 1 1 1 1 - - 1 - - - - - - - 1 1 - 1 - 1 - 1 1 - - ]
[ 1 1 1 1 1 - 1 - 1 1 - 1 1 - - - - - - - 1 - - 1 - 1 - 1 1 1 - - ]
[ 1 1 1 - - - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - 1 1 1 - - - 1 - - - 1 ]
[ 1 1 - 1 - - - 1 - 1 - 1 1 1 - - 1 1 1 - 1 - 1 1 - - 1 - - - 1 - ]
[ 1 - 1 1 1 - - - - - 1 1 - 1 - 1 1 - 1 1 1 1 1 - - 1 - - - 1 - - ]
[ 1 - - - 1 - 1 1 1 1 - - - 1 - 1 1 - - - - - 1 - - 1 1 1 - 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 - 1 - 1 1 - - - 1 - - 1 1 1 - - 1 1 - - - 1 1 1 1 - - - 1 - 1 ]
[ 1 - 1 - - - 1 1 - 1 1 1 - - 1 - - 1 1 - 1 1 - - - - 1 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 49, 52, 16)(2, 40, 13, 39)(3, 18, 4, 19)(5, 63, 6, 57)(7, 34, 8, 45)(9, 
        22, 42, 53)(10, 21 41 54)(11 60, 44, 32)(12, 64, 43, 28)(14, 30, 15, 
        26)(17, 20, 48, 33)(23, 61 56, 27)(24, 59, 55, 29)(25, 37, 31 38)(35, 
        50, 36, 51)(46, 62, 47, 58)
    (1 55, 33, 23)(2, 46, 34, 14)(3, 38, 35, 6)(4, 37, 36, 5)(7, 60, 39, 28)(8,
        32, 40, 64)(9, 63, 41 31)(10, 25, 42, 57)(11 53, 43, 21)(12, 54, 44, 
        22)(13, 47, 45, 15)(16, 26, 48, 58)(17, 62, 49, 30)(18, 29, 50, 61)(19, 
        59, 51 27)(20, 56, 52, 24)
    (5, 6)(7, 40)(8, 39)(9, 10)(11 44)(12, 43)(14, 15)(16, 17)(18, 51)(19, 
        50)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(37, 38)(41 42)(46, 47)(48, 49)
Automorphism group has centre of order: 8
Number of regular subgroups: 4
Number of regular subgroups containing zeta: 4
Number of centrally regular subgroups: 4
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 9> <64, 21>
<32, 14> <64, 21>
<32, 39> <64, 107>
<32, 9> <64, 21>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 - - - - - 1 - - 1 1 1 - 1 1 - - - 1 1 1 1 1 - 1 - - - 1 1 ]
[ 1 - 1 - 1 1 1 1 1 - - 1 - - - 1 1 - 1 1 - - - - 1 - 1 - 1 1 - - ]
[ 1 1 1 1 - 1 - 1 1 - 1 - - - 1 - - - - 1 1 - 1 - 1 1 1 - - - - 1 ]
[ 1 1 1 1 1 - 1 - 1 1 - - - - - 1 - - 1 - - - 1 1 1 1 - 1 - - 1 - ]
[ 1 1 1 1 - 1 - 1 - 1 1 - 1 1 - 1 1 - - - - - - - - - 1 1 1 - 1 - ]
[ 1 1 1 1 1 - 1 - 1 - - 1 1 1 1 - - 1 - - - - - - - - 1 1 - 1 - 1 ]
[ 1 1 - 1 1 1 - 1 - 1 - 1 - 1 - - 1 - - - - 1 - 1 1 1 - - - 1 - 1 ]
[ 1 1 1 - 1 1 1 - - - 1 1 1 - - - - 1 - - 1 1 - - 1 1 - - 1 - 1 - ]
[ 1 1 - - 1 - - 1 1 1 1 1 1 - 1 1 - - - 1 - 1 1 - - - - - - 1 1 - ]
[ 1 1 - - - 1 1 - 1 1 1 1 - 1 1 1 - - 1 - 1 - - 1 - - - - 1 - - 1 ]
[ 1 - - 1 1 1 - - 1 - 1 - 1 1 - 1 1 1 1 - 1 - 1 - - 1 - - - 1 - - ]
[ 1 - - 1 - - 1 1 - - 1 1 - - - 1 - - 1 - 1 1 - - - 1 1 1 - 1 1 1 ]
[ 1 - 1 1 - 1 - - - 1 - 1 1 - 1 1 - 1 1 1 - 1 - 1 - 1 1 - - - - - ]
[ 1 - - - - 1 1 1 1 1 - - 1 - - - - 1 - - - - 1 1 - 1 1 - 1 1 1 1 ]
[ 1 - - 1 - - 1 1 1 1 1 1 1 - - - 1 1 - 1 1 - - 1 1 - - 1 - - - - ]
[ 1 - - 1 1 1 - - - - - - 1 - 1 1 - - - 1 1 - - 1 1 - - 1 1 1 1 1 ]
[ 1 - 1 1 1 - 1 1 - 1 - - 1 1 - - - - 1 1 1 1 1 - - - - - 1 - - 1 ]
[ 1 - - - 1 - - - - 1 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 1 1 1 - - 1 ]
[ 1 - 1 - - - - - 1 1 1 - 1 - 1 - 1 - 1 - - 1 - - 1 1 - 1 1 1 - 1 ]
[ 1 - 1 - 1 1 1 1 - - 1 - - - 1 1 1 1 - - - 1 1 1 - - - 1 - - - 1 ]
[ 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 - - 1 - - - 1 1 - 1 - 1 - 1 - 1 - 1 1 - 1 1 1 1 - - - ]
[ 1 1 - - - 1 1 - - - 1 - 1 1 - - - - 1 1 - 1 1 1 1 - 1 1 - 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 1 1 - - - - 1 1 - - - - 1 - 1 - 1 - 1 1 1 - 1 - 1 - 1 1 1 - - ]
[ 1 1 1 1 - - - - - - 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 - - 1 - - - - 1 1 1 1 - - 1 1 1 - 1 - 1 - 1 1 - - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - ]
[ 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 37, 7, 21 29, 52, 2, 4)(3, 60, 54, 26, 6, 8, 31 9)(5, 39, 53, 61 20, 
        34, 36, 33)(10, 12, 57, 13, 48, 56, 32, 55)(11 50, 27, 51 49, 46, 30, 
        15)(14, 62, 47, 43, 18, 59, 19, 17)(16, 24, 64, 23, 42, 44, 25, 45)(22, 
        58, 38, 40, 63, 41 35, 28)
    (1 50, 33, 18)(2, 51 34, 19)(3, 13, 35, 45)(4, 27, 36, 59)(5, 43, 37, 
        11)(6, 55, 38, 23)(7, 15, 39, 47)(8, 32, 40, 64)(9, 48, 41 16)(10, 58, 
        42, 26)(12, 22, 44, 54)(14, 29, 46, 61)(17, 52, 49, 20)(21 30, 53, 
        62)(24, 31 56, 63)(25, 60, 57, 28)
    (1 3, 33, 35)(2, 54, 34, 22)(4, 60, 36, 28)(5, 41 37, 9)(6, 61 38, 29)(7,
        31 39, 63)(8, 53, 40, 21)(10, 59, 42, 27)(11 57, 43, 25)(12, 18, 44, 
        50)(13, 47, 45, 15)(14, 24, 46, 56)(16, 30, 48, 62)(17, 64, 49, 32)(19, 
        23, 51 55)(20, 58, 52, 26)
Automorphism group has centre of order: 8
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 107>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 - - - 1 1 1 1 1 1 1 1 1 - - - - - - - - - 1 1 1 - - - 1 - ]
[ 1 1 - 1 1 1 - - - 1 - - 1 1 - 1 - - 1 - - 1 1 - 1 1 - 1 - - 1 - ]
[ 1 - - - - - 1 1 1 1 - 1 - 1 - 1 1 - 1 1 - - 1 - 1 - - 1 1 - - 1 ]
[ 1 - 1 1 1 1 - - - - - 1 - 1 1 - 1 - - 1 - - 1 1 1 - 1 - 1 - 1 - ]
[ 1 1 1 1 - - - 1 - - 1 - - 1 1 - 1 1 - - - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 1 1 - - 1 1 - - - - 1 1 1 - 1 1 - - - - 1 - 1 - 1 - - 1 1 - 1 ]
[ 1 1 1 - 1 - - - 1 1 - - 1 - 1 1 - 1 - - - - 1 1 - - 1 1 1 - - 1 ]
[ 1 1 - 1 1 - 1 1 - 1 1 - 1 - - - 1 - - 1 - - - 1 - - - 1 1 1 1 - ]
[ 1 - 1 - 1 1 - 1 1 1 - 1 - 1 - - - 1 - - 1 1 - - - - - 1 1 1 1 - ]
[ 1 - - - 1 - - 1 - 1 - - 1 1 - - 1 1 - 1 1 1 - 1 1 1 1 - - - - 1 ]
[ 1 1 - 1 - - - - - - 1 1 - 1 - 1 - 1 - 1 1 - - - - 1 1 1 1 - 1 1 ]
[ 1 - - 1 1 - 1 1 1 - 1 - - 1 1 1 - - - - 1 1 1 1 - 1 - - 1 - - - ]
[ 1 - 1 - 1 - - - - 1 1 - - - 1 1 1 - 1 - 1 - - - 1 1 - - 1 1 1 1 ]
[ 1 - 1 1 - - - 1 1 - - - 1 - - - - - 1 1 - 1 1 - - 1 1 - 1 1 1 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 1 1 - 1 1 1 1 1 - - 1 - - - - 1 - 1 - - - ]
[ 1 1 - - - 1 1 1 - - - - - - 1 - - - 1 - 1 1 - 1 1 - 1 1 1 - 1 1 ]
[ 1 - 1 1 - 1 1 - 1 1 1 - - - - 1 - 1 - 1 - 1 - 1 1 - - - - - 1 1 ]
[ 1 - - - - 1 - - 1 - 1 - 1 1 1 - - 1 1 1 - - - 1 1 1 - 1 1 1 - - ]
[ 1 1 - - 1 1 - 1 1 - 1 1 - - - - 1 1 1 - - - 1 1 - 1 - - - - 1 1 ]
[ 1 - 1 - - 1 1 1 - - - - 1 - 1 1 1 1 - 1 1 - 1 - - 1 - 1 - - 1 - ]
[ 1 - - - 1 1 1 - - 1 1 1 - - 1 - - - - 1 - 1 1 - - 1 1 1 - 1 - 1 ]
[ 1 1 - - 1 - 1 - 1 - - - - 1 1 1 1 1 1 1 - 1 - - - - 1 - - 1 1 - ]
[ 1 - 1 1 1 1 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 - - - - - 1 1 - - - 1 ]
[ 1 1 - 1 1 1 - 1 1 - - 1 1 - 1 1 - - - 1 1 - - - 1 - - - - 1 - 1 ]
[ 1 - - - - - - - 1 - 1 1 1 - - 1 1 - - - 1 1 1 1 1 - 1 1 - 1 1 - ]
[ 1 1 - 1 - 1 1 - 1 1 - - - - - - 1 1 - - 1 - 1 - 1 1 1 - 1 1 - - ]
[ 1 - - 1 - - 1 - - 1 - 1 1 1 1 - - 1 1 - 1 - 1 1 - - - - - 1 1 1 ]
[ 1 - 1 1 1 - 1 1 - - - 1 - - - 1 - 1 1 - - - - 1 1 1 1 1 - 1 - - ]
[ 1 1 1 1 - - - - 1 1 - 1 - - 1 - 1 - 1 1 1 1 - 1 - 1 - 1 - - - - ]
[ 1 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - - 1 1 1 - 1 1 - - 1 - - 1 - - ]
[ 1 1 1 - 1 - 1 - - - 1 1 1 - - - - 1 1 1 1 1 1 - 1 - - - 1 - - - ]

Permutation group acting on a set of cardinality 64
Order = 192 = 2^6 * 3
    (1 3, 26, 22, 33, 35, 58, 54)(2, 32, 28, 18, 34, 64, 60, 50)(4, 48, 44, 20,
        36, 16, 12, 52)(5, 41 39, 51 37, 9, 7, 19)(6, 42, 21 30, 38, 10, 53, 
        62)(8, 24, 14, 57, 40, 56, 46, 25)(11 27, 49, 29, 43, 59, 17, 61)(13, 
        47, 55, 31 45, 15, 23, 63)
    (3, 36, 5)(4, 37, 35)(6, 7, 8)(9, 43, 10)(11 42, 41)(12, 45, 14)(13, 46, 
        44)(15, 17, 48)(16, 47, 49)(18, 20, 51)(19, 50, 52)(21 23, 54)(22, 53, 
        55)(24, 25, 58)(26, 56, 57)(27, 60, 29)(28, 61 59)(30, 31 32)(38, 39, 
        40)(62, 63, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 27> <64, 132>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - 1 - - - - - 1 - - 1 1 - 1 - - 1 1 - 1 1 - 1 - - 1 1 1 - 1 ]
[ 1 - - 1 1 - 1 1 1 1 1 - - 1 - 1 1 - - 1 - 1 - - 1 1 - - - - 1 - ]
[ 1 - 1 - 1 - - - - - 1 - - 1 1 - 1 - - 1 1 1 - 1 - 1 - 1 1 1 - 1 ]
[ 1 - 1 1 1 1 - - - - 1 1 1 - - - - 1 1 - - 1 - - 1 1 - 1 - 1 1 - ]
[ 1 - - - - - 1 1 1 - 1 - 1 - 1 - 1 1 1 - 1 1 1 - 1 - - 1 - - - 1 ]
[ 1 1 - 1 1 1 - - - 1 1 - - - 1 - 1 - - - 1 - 1 - 1 - 1 1 1 - 1 - ]
[ 1 - - - - 1 - - 1 - - 1 1 - - - 1 - - 1 - 1 1 1 1 1 1 - 1 - 1 1 ]
[ 1 - 1 1 - 1 - 1 1 1 - 1 1 1 - - 1 1 - 1 1 - - - - - - 1 1 - - - ]
[ 1 1 - - 1 1 1 - 1 - 1 1 1 - 1 1 1 - 1 1 - - - - - - - - 1 1 - - ]
[ 1 - - - - 1 - 1 - 1 1 1 1 1 1 1 - - - - 1 1 1 - - 1 1 - - 1 - - ]
[ 1 - 1 1 - 1 1 1 - - - - - - - 1 1 - 1 - 1 1 - - - - 1 - 1 1 1 1 ]
[ 1 1 - - 1 1 - 1 1 - - - - - - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 1 1 ]
[ 1 - - - 1 1 1 1 - 1 - - 1 1 1 - - 1 - - - - - 1 1 - - - 1 1 1 1 ]
[ 1 - 1 - - 1 1 - - 1 1 - - - - 1 - 1 1 1 1 - 1 1 1 1 - - 1 - - - ]
[ 1 1 - - 1 - - 1 - 1 - 1 - - - - 1 1 1 1 1 1 - 1 1 - 1 - - 1 - - ]
[ 1 1 1 - 1 1 1 - 1 - - - 1 1 - 1 - - - - 1 1 - 1 1 - 1 1 - - - - ]
[ 1 1 1 1 1 - 1 1 - - - - 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - - - ]
[ 1 1 1 1 - 1 - 1 1 - - - - 1 1 - 1 - 1 - - - 1 1 1 1 - - - 1 - - ]
[ 1 - - 1 1 1 1 1 - - 1 1 - 1 - - - - 1 1 - - 1 1 - - 1 1 - - - 1 ]
[ 1 1 - - - - - 1 - - 1 - 1 1 - 1 1 1 1 - - - - 1 - 1 1 1 1 - 1 - ]
[ 1 - 1 - - - 1 - - - - 1 - 1 1 1 1 1 - 1 - - 1 - 1 - 1 1 - 1 1 - ]
[ 1 1 - 1 - 1 1 - - 1 - 1 - - 1 1 1 1 - - - 1 - 1 - 1 - 1 - - - 1 ]
[ 1 - 1 1 1 - - - 1 1 1 - 1 - - 1 1 1 - - - - 1 1 - - 1 - - 1 - 1 ]
[ 1 - - 1 - - 1 - 1 1 - - 1 - 1 - - - 1 1 1 - - 1 - 1 1 1 - 1 1 - ]
[ 1 1 1 - - - 1 1 1 1 1 1 - - - - - - - - - 1 1 1 - - - 1 1 1 1 - ]
[ 1 - - 1 1 - - - 1 - - 1 - 1 1 1 - 1 1 - 1 1 1 1 - - - - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 1 - 1 - - 1 1 - - 1 - - - - - 1 1 1 1 1 - - 1 ]
[ 1 1 - 1 - - 1 - 1 - 1 1 - 1 - - - 1 - - 1 - - - 1 1 1 - 1 1 - 1 ]
[ 1 1 1 1 - - - 1 - - 1 1 1 - 1 1 - - - 1 1 - - 1 1 - - - - - 1 1 ]
[ 1 1 1 - 1 - 1 - - 1 - 1 1 1 - - 1 - 1 - 1 - 1 - - 1 - - - - 1 1 ]
[ 1 1 1 - - 1 - - 1 1 1 - - 1 1 - - 1 1 1 - 1 - - - - 1 - - - 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 192 = 2^6 * 3
    (1 38, 33, 6)(2, 42, 34, 10)(3, 63, 35, 31)(4, 18, 36, 50)(5, 45, 37, 
        13)(7, 43, 39, 11)(8, 25, 40, 57)(9, 53, 41 21)(12, 58, 44, 26)(14, 23,
        46, 55)(15, 27, 47, 59)(16, 20, 48, 52)(17, 24, 49, 56)(19, 60, 51, 28)(22, 30, 54, 62)(29, 64, 61 32)
    (1 2, 33, 34)(3, 4, 35, 36)(5, 50, 37, 18)(6, 8, 38, 40)(7, 48, 39, 16)(9, 
        15, 41 47)(10, 51 42, 19)(11 24, 43, 56)(12, 27, 44, 59)(13, 22, 45, 
        54)(14, 17, 46, 49)(20, 23, 52, 55)(21 29, 53, 61)(25, 60, 57, 28)(26, 
        32, 58, 64)(30, 31 62, 63)
    (2, 35, 4)(3, 36, 34)(5, 7, 38)(6, 37, 39)(8, 41 42)(9, 10, 40)(11 44, 
        45)(12, 13, 43)(14, 47, 48)(15, 16, 46)(17, 18, 19)(20, 54, 53)(21 52, 
        22)(23, 57, 24)(25, 56, 55)(27, 60, 61)(28, 29, 59)(30, 32, 31)(49, 50, 
        51)(62, 64, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 27> <64, 132>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 - - - - - 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - 1 - ]
[ 1 1 1 1 - 1 1 - - - 1 - - - - 1 1 - - - 1 1 - - - 1 1 1 - - 1 1 ]
[ 1 1 - 1 1 1 - - - 1 - - 1 - - - - 1 - 1 - 1 - 1 - - 1 - 1 1 1 1 ]
[ 1 1 1 - 1 - 1 1 - - - 1 - - - - - 1 1 - 1 - - - 1 1 - - 1 1 1 1 ]
[ 1 - 1 1 1 - - - 1 1 - - - 1 - 1 - - 1 - - - 1 1 - 1 - 1 - 1 1 1 ]
[ 1 - - - - 1 1 - - 1 1 1 1 1 - 1 - 1 1 - 1 1 - 1 - 1 - - - 1 - - ]
[ 1 1 1 - 1 1 - - 1 - - 1 1 - - - 1 - 1 - 1 1 1 1 - - - 1 1 - - - ]
[ 1 - 1 1 1 1 - 1 - - - 1 - 1 - 1 - - - 1 1 1 1 - 1 - 1 - - 1 - - ]
[ 1 1 - 1 1 - 1 - 1 - - - 1 - 1 1 - 1 - - 1 - 1 1 1 1 1 - - - - - ]
[ 1 - - - - 1 - 1 1 - - 1 1 1 - 1 1 1 - - - - 1 - - 1 1 - 1 - 1 1 ]
[ 1 1 1 1 - - - 1 - 1 1 - - 1 - - 1 1 - - - 1 1 1 1 1 - - 1 - - - ]
[ 1 - 1 - - - 1 - - - 1 - 1 - - 1 1 - 1 1 - - 1 1 1 - 1 - 1 1 - 1 ]
[ 1 - 1 1 - 1 1 - 1 1 - - 1 1 1 - 1 - - - 1 - - - 1 - - - 1 1 1 - ]
[ 1 1 - - 1 1 1 1 - 1 1 - 1 1 - - - - 1 - - - 1 - 1 - 1 1 - - 1 - ]
[ 1 - 1 - 1 - 1 1 1 1 1 1 - - 1 1 - - - - - 1 - 1 - - 1 - 1 - 1 - ]
[ 1 - - - 1 - - - - 1 - - - 1 1 1 1 1 1 - 1 1 - - 1 - 1 1 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - 1 - - - - 1 - 1 1 1 1 - - 1 1 - - 1 1 - 1 - ]
[ 1 - - 1 1 - 1 - 1 - 1 1 1 1 - - - - - 1 - 1 - - 1 1 - 1 1 - - 1 ]
[ 1 1 - - - - 1 - 1 1 - 1 - - - 1 1 1 - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 1 1 - - 1 - - 1 - 1 1 - 1 1 - - 1 - - - - - 1 1 - 1 1 - 1 - 1 ]
[ 1 1 - 1 - - - 1 - 1 1 1 1 - 1 1 - - - - 1 - 1 - - - - 1 1 1 - 1 ]
[ 1 1 - - - - - - 1 - 1 - - 1 1 - - - 1 1 1 1 1 - - 1 1 - 1 1 1 - ]
[ 1 1 - 1 - - 1 1 1 1 - 1 - 1 - - 1 - 1 1 1 - - 1 - - 1 - - - - 1 ]
[ 1 1 1 - - 1 - 1 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - - - - 1 ]
[ 1 - - 1 - - - 1 - - - 1 1 - 1 - 1 - 1 - - 1 - 1 1 1 1 1 - 1 1 - ]
[ 1 - - 1 1 1 1 1 1 - 1 - - - 1 - 1 1 1 - - 1 1 - - - - - - 1 - 1 ]
[ 1 - 1 - - - 1 1 - - - - 1 1 1 - - 1 - 1 1 1 1 1 - - - 1 - - 1 1 ]
[ 1 - 1 - 1 - - 1 1 1 1 - 1 - - - 1 1 - 1 1 - - - - 1 1 1 - 1 - - ]
[ 1 - 1 1 - 1 1 - - 1 - 1 - - 1 - - 1 1 1 - - 1 - - 1 1 1 1 - - - ]
[ 1 - - - 1 1 - - - 1 1 1 - - 1 - 1 - - 1 1 - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - 1 1 1 1 - - - - - 1 1 1 1 - - 1 - - - 1 - 1 - 1 1 1 - - ]

Permutation group acting on a set of cardinality 64
Order = 320 = 2^6 * 5
    (1 3, 51 50, 4, 33, 35, 19, 18, 36)(2, 24, 30, 61 27, 34, 56, 62, 29, 
        59)(5, 49, 45, 6, 20, 37, 17, 13, 38, 52)(7, 14, 21 22, 47, 39, 46, 53,
        54, 15)(8, 63, 32, 11 26, 40, 31 64, 43, 58)(9, 12, 23, 28, 25, 41     44, 55, 60, 57)(10, 42)(16, 48)
    (1 2, 33, 34)(3, 59, 35, 27)(4, 56, 36, 24)(5, 23, 37, 55)(6, 57, 38, 
        25)(7, 58, 39, 26)(8, 47, 40, 15)(9, 13, 41 45)(10, 48, 42, 16)(11 14,
        43, 46)(12, 17, 44, 49)(18, 30, 50, 62)(19, 61 51 29)(20, 60, 52, 
        28)(21 64, 53, 32)(22, 31 54, 63)
    (3, 6, 5, 4, 39)(7, 35, 38, 37, 36)(8, 10, 43, 12, 9)(11 44, 41 40, 
        42)(13, 17, 46, 48, 47)(14, 16, 15, 45, 49)(18, 54, 20, 53, 51)(19, 50, 
        22, 52, 21)(23, 57, 59, 26, 56)(24, 55, 25, 27, 58)(28, 31 62, 61     64)(29, 32, 60, 63, 30)
Order of automorphism group: 320
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 27> <64, 137>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 - - 1 - - ]
[ 1 - - - - - - 1 1 - - 1 1 1 1 1 1 - 1 1 1 - - - 1 1 1 - - - 1 - ]
[ 1 - - - 1 1 1 1 - 1 - - - - 1 1 1 1 - - - 1 1 1 - 1 1 - - - 1 - ]
[ 1 - 1 1 1 1 - - - 1 1 - - 1 1 - - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 1 1 - - 1 1 - - 1 1 1 - - - 1 - - 1 1 - 1 - - 1 1 - 1 - - 1 - ]
[ 1 - 1 1 - - 1 - 1 - 1 1 1 - 1 - - 1 - - 1 - 1 1 - 1 - 1 - - 1 - ]
[ 1 1 1 - 1 - - - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - ]
[ 1 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - 1 1 - - 1 - - - 1 1 - 1 - ]
[ 1 1 - 1 1 - 1 1 1 - - - 1 - - - 1 - 1 - - 1 1 - 1 - - 1 1 - 1 - ]
[ 1 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 - - - - 1 1 1 1 1 1 - - 1 - - ]
[ 1 - - 1 1 - - - - 1 1 - 1 1 1 - 1 1 1 1 - 1 - - - 1 - 1 - 1 - - ]
[ 1 1 - - - - 1 - - 1 1 1 1 - - 1 1 1 1 - 1 - 1 - - - 1 - 1 1 - - ]
[ 1 - 1 1 - - 1 1 - 1 - 1 1 - 1 - - - - 1 - 1 - 1 1 - 1 - 1 1 - - ]
[ 1 1 1 - 1 - - 1 - 1 - - 1 1 - 1 - - - - 1 - 1 1 1 1 - 1 - 1 - - ]
[ 1 - - - 1 1 1 - 1 - 1 - - - 1 1 1 - - 1 1 - - 1 1 - - 1 1 1 - - ]
[ 1 - 1 - - 1 - 1 1 - - 1 - 1 1 1 - 1 1 - - 1 1 - - - - 1 1 1 - - ]
[ 1 1 1 1 - 1 - - - - - - 1 - 1 1 1 - 1 - 1 1 - 1 - 1 - - 1 - - 1 ]
[ 1 1 - - - 1 1 - 1 1 - - 1 1 1 - - - 1 1 - - 1 1 - - 1 1 - - - 1 ]
[ 1 - - - 1 - 1 1 1 1 1 1 - 1 - - - - 1 - 1 1 - 1 - 1 - - 1 - - 1 ]
[ 1 - 1 1 1 - - 1 - - 1 1 - - - 1 1 - 1 1 - - 1 1 - - 1 1 - - - 1 ]
[ 1 - - 1 1 1 - - 1 1 - 1 1 - - 1 - 1 - - 1 1 - - 1 - 1 1 - - - 1 ]
[ 1 - 1 - 1 1 1 - - - - 1 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 - - 1 ]
[ 1 1 1 - - - 1 1 - - 1 - - 1 1 - 1 1 - - 1 1 - - 1 - 1 1 - - - 1 ]
[ 1 1 - 1 - - - 1 1 1 1 - - - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - - 1 ]
[ 1 1 - 1 1 - 1 - - - - 1 - 1 1 1 - - - 1 1 1 1 - - - - - - 1 1 1 ]
[ 1 - 1 - - 1 - 1 1 1 1 - 1 - - - 1 - - 1 1 1 1 - - - - - - 1 1 1 ]
[ 1 1 1 - 1 - - - 1 1 - 1 - - 1 - 1 1 1 - - - - 1 1 - - - - 1 1 1 ]
[ 1 - - 1 - 1 1 1 - - 1 - 1 1 - 1 - 1 1 - - - - 1 1 - - - - 1 1 1 ]
[ 1 - 1 1 - - 1 - 1 1 - - - 1 - 1 1 - - - - - - - - 1 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 - 1 - - 1 1 1 - 1 - - - - - - - - - - 1 1 1 1 1 1 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
Permutation group acting on a set of cardinality 64
Order = 8192 = 2^13
    (1 2)(3, 27)(4, 23)(5, 30)(6, 31)(7, 22)(8, 24)(9, 25)(10, 26)(11 18)(12, 
        29)(13, 28)(14, 21)(15, 19)(16, 20)(17, 32)(33, 34)(35, 59)(36, 55)(37, 
        62)(38, 63)(39, 54)(40, 56)(41 57)(42, 58)(43, 50)(44, 61)(45, 60)(46, 
        53)(47, 51)(48, 52)(49, 64)
    (2, 16)(3, 15)(4, 44)(5, 7)(6, 40)(8, 38)(9, 13)(10, 46)(11 49)(12, 36)(14,
        42)(17, 43)(18, 24)(19, 57)(20, 22)(21 55)(23, 53)(25, 51)(26, 27)(28, 
        61)(29, 60)(30, 62)(31 63)(34, 48)(35, 47)(37, 39)(41 45)(50, 56)(52, 
        54)(58, 59)
    (2, 3, 37, 12, 34, 35, 5, 44)(4, 48, 15, 7, 36, 16, 47, 39)(6, 13, 17, 42, 
        38, 45, 49, 10)(8, 9, 11 14, 40, 41 43, 46)(18, 22, 50, 54)(19, 21,
     51 53)(20, 56, 52, 24)(23, 57, 55, 25)(26, 28)(27, 61)(29, 59)(30, 
        62)(32, 64)(58, 60)
    (3, 45)(4, 36)(6, 38)(7, 11)(8, 48)(10, 12)(13, 35)(15, 47)(16, 40)(17, 
        49)(18, 22)(19, 51)(20, 56)(23, 55)(24, 52)(26, 29)(27, 60)(28, 59)(31,
     63)(32, 64)(39, 43)(42, 44)(50, 54)(58, 61)
    (3, 12)(4, 47)(5, 37)(7, 39)(9, 14)(10, 45)(11 43)(13, 42)(15, 36)(17, 
        49)(18, 54)(19, 23)(20, 56)(21 25)(22, 50)(24, 52)(26, 27)(28, 61)(29, 
        60)(30, 62)(31 63)(35, 44)(41 46)(51 55)(53, 57)(58, 59)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 143>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 - 1 1 1 1 1 1 - 1 - 1 - - - 1 - - - - 1 - - 1 1 1 1 - 1 - - - ]
[ 1 - - - - - - - - 1 - 1 1 1 - 1 1 1 1 1 1 - - 1 - - 1 - 1 - 1 1 ]
[ 1 - 1 1 - - - 1 1 1 1 1 1 - 1 - - 1 - 1 1 1 - - - - 1 - - 1 - - ]
[ 1 - - - 1 1 - 1 - - - - 1 - 1 - - 1 - 1 - - 1 1 1 1 1 - - 1 1 1 ]
[ 1 1 1 - 1 1 - 1 1 - 1 1 1 1 - 1 - 1 1 - - - - - - 1 - - - - 1 - ]
[ 1 1 - 1 1 1 1 - - 1 1 1 1 1 1 - 1 - - 1 - - - - 1 - - - - - - 1 ]
[ 1 - 1 1 - - - 1 1 - 1 1 - - - 1 1 - - 1 - - 1 1 1 - - 1 - - 1 1 ]
[ 1 - - - 1 1 - 1 1 - - - 1 1 - 1 1 - - 1 1 1 - - 1 - - 1 1 1 - - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 1 - 1 - 1 - - 1 - - 1 - - - - 1 1 1 1 - 1 1 - 1 1 1 - 1 - - - ]
[ 1 1 1 - 1 - - - - 1 1 - - - - - 1 1 1 1 1 - - 1 1 1 - 1 - 1 - - ]
[ 1 1 - 1 - - 1 1 - - 1 - 1 - - 1 - 1 1 - - - - - 1 - 1 1 1 1 - 1 ]
[ 1 1 1 - - - 1 1 - - - 1 - 1 1 - 1 - - 1 - - - - - 1 1 1 1 1 1 - ]
[ 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 ]
[ 1 - - - - 1 1 1 1 1 1 - - 1 - - 1 1 - - 1 - 1 - - 1 1 1 - - - 1 ]
[ 1 - 1 1 - 1 - - - - 1 - - 1 1 1 - - 1 1 1 - 1 - - 1 - - 1 1 - 1 ]
[ 1 - - - 1 1 1 - - 1 1 1 - - - 1 - - 1 1 - 1 1 - - - 1 1 - 1 1 - ]
[ 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 1 1 - - - 1 1 - 1 1 - - - 1 1 - ]
[ 1 - 1 1 1 - 1 - 1 - - - 1 1 - - - - 1 1 - 1 - 1 - 1 1 1 - - - 1 ]
[ 1 - - - 1 - 1 - 1 - 1 1 - - 1 1 1 1 - - - 1 - 1 - 1 - - 1 1 - 1 ]
[ 1 1 - 1 1 - - - 1 1 - 1 1 - - - - - - - 1 - 1 - - 1 - 1 1 1 1 1 ]
[ 1 1 1 - - 1 - - 1 1 1 - - 1 - - - - - - - 1 - 1 1 - 1 - 1 1 1 1 ]
[ 1 1 1 - - 1 1 1 - - - 1 1 - - - 1 - 1 - 1 1 1 1 - - - - - 1 - 1 ]
[ 1 1 - 1 1 - 1 1 - - 1 - - 1 - - - 1 - 1 1 1 1 1 - - - - 1 - 1 - ]
[ 1 1 1 - - 1 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - - 1 1 - - - ]
[ 1 1 - 1 1 - - 1 1 1 - - - 1 1 1 1 - 1 - - - 1 1 - - 1 - - 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 3, 62, 12)(2, 47, 64, 8)(4, 25, 13, 9)(5, 52, 60, 56)(6, 61 59, 16)(7, 
        51 14, 55)(10, 22, 26, 50)(11 49, 63, 53)(15, 32, 40, 34)(17, 31 21,
     43)(18, 42, 54, 58)(19, 46, 23, 39)(20, 28, 24, 37)(27, 48, 38, 29)(30, 
        44, 33, 35)(36, 57, 45, 41)
    (1 2, 33, 34)(3, 8, 35, 40)(4, 39, 36, 7)(5, 22, 37, 54)(6, 21 38, 53)(9, 
        19, 41 51)(10, 20, 42, 52)(11 16, 43, 48)(12, 47, 44, 15)(13, 46, 45, 
        14)(17, 27, 49, 59)(18, 60, 50, 28)(23, 57, 55, 25)(24, 58, 56, 26)(29, 
        63, 61 31)(30, 32, 62, 64)
    (3, 36)(4, 35)(5, 38)(6, 37)(7, 8)(9, 42)(10, 41)(12, 13)(14, 15)(17, 
        50)(18, 49)(19, 52)(20, 51)(21 54)(22, 53)(23, 24)(25, 26)(27, 28)(29, 
        61)(30, 62)(31 63)(32, 64)(39, 40)(44, 45)(46, 47)(55, 56)(57, 58)(59, 
        60)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 151>
<32, 5> <64, 30>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 1 1 - 1 - 1 - 1 - 1 - - - - ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 1 1 - 1 - 1 - 1 - 1 1 - - - - ]
[ 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 - - 1 - - - ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 1 1 1 - - 1 - 1 - 1 - 1 - - - ]
[ 1 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - ]
[ 1 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - - 1 - 1 1 - - 1 - 1 1 - 1 - - ]
[ 1 1 1 - - 1 - 1 - 1 - 1 - 1 1 - - - 1 1 - - 1 1 - 1 - 1 - 1 - - ]
[ 1 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - ]
[ 1 1 - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 - 1 - - 1 1 - 1 - - 1 - ]
[ 1 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - - 1 - 1 1 - 1 - - 1 - 1 - ]
[ 1 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - ]
[ 1 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - ]
[ 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 - - 1 - 1 1 1 - ]
[ 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - - 1 1 - - 1 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - - 1 1 - - 1 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - - 1 - 1 - 1 1 - - 1 1 1 - ]
[ 1 - 1 1 1 1 1 1 - - - - - - 1 1 - - - - - 1 1 1 1 1 1 - - - - 1 ]
[ 1 - 1 1 - - 1 1 1 1 1 1 - - - - - - 1 - - - - - - 1 1 1 1 - 1 1 ]
[ 1 - 1 1 1 1 - - 1 1 - - 1 1 - - - 1 - - - - - 1 1 - - 1 1 1 - 1 ]
[ 1 1 - - - - - - 1 1 1 1 1 1 - - 1 - - - - 1 1 1 1 1 1 - - - - 1 ]
[ 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 1 - - - - - 1 1 - - 1 1 1 - 1 ]
[ 1 1 - - 1 1 - - - - - - 1 1 1 1 1 - 1 - - - - - - 1 1 1 1 - 1 1 ]
[ 1 - - - - - 1 1 1 1 - - 1 1 1 1 - - - 1 1 1 1 - - - - 1 1 - - 1 ]
[ 1 - - - 1 1 - - 1 1 1 1 - - 1 1 - - 1 1 1 - - 1 1 - - - - - 1 1 ]
[ 1 - - - 1 1 1 1 - - 1 1 1 1 - - - 1 - 1 1 - - - - 1 1 - - 1 - 1 ]
[ 1 1 1 1 1 1 - - - - 1 1 - - - - 1 - - 1 1 1 1 - - - - 1 1 - - 1 ]
[ 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 - 1 1 1 - - 1 1 - - - - - 1 1 ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 - 1 1 - - - - 1 1 - - 1 - 1 ]
[ 1 - 1 1 - - - - - - 1 1 1 1 1 1 - 1 1 - - 1 1 - - - - - - 1 1 1 ]
[ 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 1 - - 1 1 - - - - - - 1 1 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 3072 = 2^10 * 3
    (1 2)(3, 32)(4, 22)(5, 20)(6, 24)(7, 19)(8, 23)(9, 27)(10, 30)(11 29)(12, 
        26)(13, 31)(14, 21)(15, 28)(16, 25)(17, 18)(33, 34)(35, 64)(36, 54)(37, 
        52)(38, 56)(39, 51)(40, 55)(41 59)(42, 62)(43, 61)(44, 58)(45, 63)(46, 
        53)(47, 60)(48, 57)(49, 50)
    (2, 40, 6, 13, 43, 4, 34, 8, 38, 45, 11 36)(3, 7, 9, 42, 44, 37, 35, 39, 
        41 10, 12, 5)(14, 48, 46, 16)(15, 49, 47, 17)(18, 23, 54, 50, 55, 
        22)(19, 52, 53, 51 20, 21)(24, 60, 61)(25, 26, 59)(27, 57, 58)(28, 29, 
        56)(30, 62)(31 63)
    (2, 3)(4, 5)(6, 9)(7, 8)(10, 13)(11 12)(14, 17)(15, 16)(34, 35)(36, 37)(38,
        41)(39, 40)(42, 45)(43, 44)(46, 49)(47, 48)
    (3, 35)(4, 40)(5, 7)(6, 11)(8, 36)(9, 44)(10, 42)(12, 41)(15, 47)(17, 
        49)(18, 50)(19, 20)(22, 55)(23, 54)(24, 29)(26, 59)(27, 58)(28, 60)(30, 
        62)(32, 64)(37, 39)(38, 43)(51 52)(56, 61)
Automorphism group has centre of order: 2
Number of regular subgroups: 30
Number of regular subgroups containing zeta: 30
Number of centrally regular subgroups: 30
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 46> <64, 229>
<32, 27> <64, 136>
<32, 46> <64, 230>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 25> <64, 125>
<32, 25> <64, 124>
<32, 27> <64, 137>
<32, 28> <64, 143>
<32, 28> <64, 143>
<32, 28> <64, 154>
<32, 28> <64, 154>
<32, 27> <64, 132>
<32, 27> <64, 132>
<32, 28> <64, 151>
<32, 25> <64, 117>
<32, 28> <64, 151>
<32, 34> <64, 175>
<32, 28> <64, 149>
<32, 34> <64, 178>
<32, 28> <64, 148>
<32, 25> <64, 116>
<32, 28> <64, 152>
<32, 28> <64, 154>
<32, 34> <64, 175>
<32, 28> <64, 154>
<32, 34> <64, 178>
<32, 28> <64, 154>
<32, 27> <64, 137>
<32, 27> <64, 132>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - - 1 - 1 - - - - 1 1 1 1 1 - 1 - - 1 1 1 1 - - 1 1 - ]
[ 1 1 - - - - 1 - 1 - - - - - 1 1 1 1 - 1 - 1 1 - 1 1 - 1 1 - - 1 ]
[ 1 1 - - - - - 1 1 1 1 1 1 1 - 1 1 - - 1 1 - 1 - - - 1 - - - - 1 ]
[ 1 1 - - - - 1 - 1 1 1 1 1 1 1 - - 1 1 - - 1 - 1 - - - 1 - - 1 - ]
[ 1 1 1 1 1 1 - - 1 1 - - 1 1 1 1 - - - - - - - - 1 1 - - - - 1 1 ]
[ 1 1 1 1 1 1 - - - - 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - - - ]
[ 1 - 1 1 - 1 1 - - 1 - 1 1 - - 1 1 1 - - 1 1 1 1 1 - - - - - - - ]
[ 1 - - - - 1 1 - - 1 - 1 1 - - 1 - - 1 1 - - - - 1 - 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 - - - - - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - 1 1 - - - - 1 1 - - - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 ]
[ 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - 1 - - - - - 1 1 - - - 1 1 1 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 1 1 1 - - - 1 - - - - 1 1 - - 1 - 1 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - 1 1 - - 1 1 1 1 1 1 - - ]
[ 1 1 - - 1 1 1 1 - - 1 1 1 1 - - 1 1 - - - - - - 1 1 - - 1 1 - - ]
[ 1 1 1 - 1 1 1 1 1 1 - - - - - - - 1 1 - - 1 1 - - - 1 - - 1 - 1 ]
[ 1 1 - 1 1 1 1 1 1 1 - - - - - - 1 - - 1 1 - - 1 - - - 1 1 - 1 - ]
[ 1 - - 1 - 1 - - 1 - 1 - 1 - - - 1 1 - - - - 1 1 - 1 1 1 - 1 1 1 ]
[ 1 - - 1 - 1 1 1 1 - 1 - 1 - 1 1 - - 1 1 1 1 - - - 1 - - - 1 - - ]
[ 1 - 1 - - 1 1 1 - 1 1 - - 1 1 - - - - 1 - - 1 1 1 1 1 1 - - - - ]
[ 1 - 1 - - 1 - - - 1 1 - - 1 1 - 1 1 - 1 1 1 - - - - - - 1 1 1 1 ]
[ 1 - - 1 1 - - - 1 1 1 - - 1 - 1 - 1 1 1 - - 1 1 1 - - - 1 1 - - ]
[ 1 - - 1 1 - 1 1 - - 1 - - 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - ]
[ 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 ]
[ 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 ]
[ 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 49, 33, 17)(2, 27, 34, 59)(3, 42, 35, 10)(4, 61 36, 29)(5, 11 37, 
        43)(6, 23, 38, 55)(7, 51 39, 19)(8, 26, 40, 58)(9, 48, 41 16)(12, 14, 
        44, 46)(13, 60, 45, 28)(15, 21 47, 53)(18, 64, 50, 32)(20, 62, 52, 
        30)(22, 57, 54, 25)(24, 31 56, 63)
    (1 40, 33, 8)(2, 7, 34, 39)(3, 62, 35, 30)(4, 38, 36, 6)(5, 31 37, 63)(9, 
        64, 41 32)(10, 20, 42, 52)(11 56, 43, 24)(12, 22, 44, 54)(13, 47, 45, 
        15)(14, 57, 46, 25)(16, 18, 48, 50)(17, 26, 49, 58)(19, 27, 51 59)(21,
     60, 53, 28)(23, 61 55, 29)
    (1 2, 12, 36, 33, 34, 44, 4)(3, 60, 37, 64, 35, 28, 5, 32)(6, 22, 7, 40, 
        38, 54, 39, 8)(9, 31 21 30, 41 63, 53, 62)(10, 45, 11 50, 42, 13, 
        43, 18)(14, 61 17, 27, 46, 29, 49, 59)(15, 20, 48, 24, 47, 52, 16, 
        56)(19, 58, 23, 25, 51 26, 55, 57)
    (2, 3)(4, 5)(8, 41)(9, 40)(13, 14)(17, 18)(19, 52)(20, 51)(21 54)(22, 
        53)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(34, 35)(36, 37)(45, 46)(49, 50)
Automorphism group has centre of order: 2
Number of regular subgroups: 4
Number of regular subgroups containing zeta: 4
Number of centrally regular subgroups: 4
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 154>
<32, 34> <64, 175>
<32, 28> <64, 154>
<32, 27> <64, 137>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 1 1 1 - - 1 1 - - - - - - 1 - - - 1 - - 1 1 1 1 1 - - 1 1 ]
[ 1 1 - - - - 1 1 - - - - - - 1 - 1 1 - - 1 1 - - 1 1 1 1 1 1 - 1 ]
[ 1 1 1 1 1 1 1 - - - 1 1 - - 1 1 1 - - - 1 - 1 - - 1 - - - 1 - - ]
[ 1 - - - - 1 1 - 1 1 1 - 1 - 1 - 1 - - 1 - - 1 1 1 - - - 1 1 - 1 ]
[ 1 - 1 1 - 1 1 - - - 1 - 1 1 - 1 1 1 - 1 - 1 - - - - 1 1 - - - 1 ]
[ 1 - - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 1 1 1 - - 1 1 1 - - - ]
[ 1 1 1 1 1 - - 1 1 1 1 - 1 - - - - 1 - - 1 1 1 - - - - - 1 - - 1 ]
[ 1 - 1 1 1 - 1 - 1 - - - - 1 1 - - - 1 1 - 1 - - - 1 - - 1 1 1 1 ]
[ 1 - - - - 1 - 1 1 1 1 1 - - 1 1 - - 1 1 1 1 - - - 1 1 - - - - 1 ]
[ 1 - 1 1 - 1 - 1 - - - - - - - 1 - - 1 1 1 1 1 1 1 - - 1 1 1 - - ]
[ 1 - - - 1 - 1 1 - 1 - - 1 1 - 1 1 - - 1 1 1 1 - 1 1 - - - - 1 - ]
[ 1 1 - - 1 1 - - 1 1 - - - 1 - 1 - 1 - 1 - - 1 - - 1 1 1 1 1 - - ]
[ 1 1 - - 1 1 1 1 - - 1 - 1 - - 1 - - 1 - - - - 1 - 1 - 1 1 - 1 1 ]
[ 1 1 1 1 - - 1 1 - 1 1 1 - 1 - - - - - 1 - - - 1 1 1 1 - 1 - - - ]
[ 1 1 - - 1 1 - - - - 1 1 - 1 - - - 1 - 1 1 1 - 1 1 - - - - 1 1 1 ]
[ 1 - - 1 1 1 1 1 - 1 - 1 - 1 1 - - 1 1 - - - 1 - 1 - - 1 - - - 1 ]
[ 1 - - 1 - - - - - 1 - 1 1 1 - 1 1 1 1 - 1 - - 1 - 1 - - 1 1 - 1 ]
[ 1 1 1 - 1 1 - 1 - 1 - - 1 1 1 - 1 - 1 - - 1 - 1 - - 1 - - 1 - - ]
[ 1 1 - 1 - - - 1 1 - 1 - - 1 - 1 1 - 1 - - - 1 - 1 - 1 - - 1 1 1 ]
[ 1 - 1 - - - 1 1 1 1 1 - - 1 1 1 - 1 - - 1 - - 1 - - - 1 - 1 1 - ]
[ 1 1 1 - - - 1 - - 1 - 1 1 - - - - - 1 1 1 - 1 - - - 1 1 - 1 1 1 ]
[ 1 1 - 1 - - - - - 1 1 - - - 1 - 1 1 1 1 - 1 1 1 - 1 - 1 - - 1 - ]
[ 1 1 1 - - - - - 1 - - 1 1 1 1 1 - - - - - 1 1 1 1 1 - 1 - - - 1 ]
[ 1 1 - 1 1 - 1 - 1 - - - 1 - 1 1 - 1 1 1 1 - - 1 1 - 1 - - - - - ]
[ 1 - - 1 1 - - - - 1 1 1 1 - 1 1 - - - - - 1 - - 1 - 1 1 1 1 1 - ]
[ 1 1 1 - - 1 1 - 1 1 - 1 - - - 1 1 1 1 - - 1 - - 1 - - - 1 - 1 - ]
[ 1 1 - 1 - 1 - 1 1 - - 1 1 1 1 - 1 - - 1 1 - - - - - - 1 1 - 1 - ]
[ 1 - 1 - - 1 - - - - 1 - 1 1 1 - - 1 1 - 1 - 1 - 1 1 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 - 1 1 1 - - - 1 1 1 1 - - - - 1 1 - 1 - 1 - - ]
[ 1 - 1 - 1 - - 1 - - - 1 - - 1 1 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 ]
[ 1 - - 1 - 1 1 1 1 - - 1 1 - - - - 1 - - - 1 1 1 - 1 1 - - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 44, 33, 12)(2, 52, 34, 20)(3, 40, 35, 8)(4, 17, 36, 49)(5, 14, 37, 
        46)(6, 63, 38, 31)(7, 47, 39, 15)(9, 30, 41 62)(10, 26, 42, 58)(11 59,
        43, 27)(13, 51 45, 19)(16, 21 48, 53)(18, 28, 50, 60)(22, 64, 54, 
        32)(23, 57, 55, 25)(24, 61 56, 29)
    (1 54, 55, 39, 33, 22, 23, 7)(2, 58, 63, 53, 34, 26, 31 21)(3, 18, 24, 5, 
        35, 50, 56, 37)(4, 59, 30, 19, 36, 27, 62, 51)(6, 42, 20, 16, 38, 10, 
        52, 48)(8, 14, 61 28, 40, 46, 29, 60)(9, 11 49, 13, 41 43, 17, 
        45)(12, 15, 25, 32, 44, 47, 57, 64)
    (1 3)(2, 36)(4, 34)(5, 39)(6, 41)(7, 37)(8, 12)(9, 38)(10, 11)(13, 48)(14, 
        15)(16, 45)(17, 20)(18, 54)(19, 21)(22, 50)(23, 56)(24, 55)(25, 61)(26, 
        59)(27, 58)(28, 32)(29, 57)(30, 31)(33, 35)(40, 44)(42, 43)(46, 47)(49, 
        52)(51 53)(60, 64)(62, 63)
    (1 2, 33, 34)(3, 36, 35, 4)(5, 59, 37, 27)(6, 8, 38, 40)(7, 58, 39, 26)(9, 
        44, 41 12)(10, 28, 42, 60)(11 32, 43, 64)(13, 15, 45, 47)(14, 16, 46, 
        48)(17, 57, 49, 25)(18, 19, 50, 51)(20, 29, 52, 61)(21 22, 53, 54)(23, 
        63, 55, 31)(24, 30, 56, 62)
Automorphism group has centre of order: 4
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Expanded design is group developed 
<32, 34> <64, 175>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - - - - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 1 1 - - 1 1 ]
[ 1 1 1 1 1 1 1 - - 1 - - 1 1 - - - 1 - - 1 - - - 1 - 1 - - 1 - 1 ]
[ 1 1 1 1 1 1 - 1 1 - - - 1 1 - - 1 - - - - 1 - - - 1 - 1 1 - 1 - ]
[ 1 1 1 1 1 1 - - 1 1 1 1 - - 1 1 - - - - - - 1 1 - - 1 1 - - - - ]
[ 1 1 - - - - - 1 1 1 1 1 - 1 - - - 1 - 1 1 - - - 1 - 1 1 1 - 1 - ]
[ 1 1 - - - - 1 - 1 1 1 1 1 - - - 1 - 1 - - 1 - - - 1 1 1 - 1 - 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - ]
[ 1 - - 1 - 1 - - 1 - 1 - - - - 1 - - - - 1 1 - 1 1 1 1 - 1 1 1 1 ]
[ 1 - - 1 - 1 1 1 1 - 1 - 1 1 - 1 1 1 1 1 - - - 1 - - 1 - - - - - ]
[ 1 1 - - 1 1 1 1 - - - - - - 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 - 1 - - 1 1 1 1 1 - 1 - 1 - 1 - - 1 - - - 1 - 1 1 - - - - 1 1 ]
[ 1 - 1 - - 1 - - - - - 1 - 1 - 1 1 1 1 - 1 1 1 - - - 1 1 1 1 - - ]
[ 1 - 1 - - 1 - - - 1 1 1 1 1 1 - 1 - - 1 1 1 - 1 - - - - - - 1 1 ]
[ 1 - 1 - - 1 1 1 - 1 - - - - 1 - 1 - - 1 - - - 1 1 1 1 1 1 1 - - ]
[ 1 1 - 1 - 1 1 - 1 - - 1 - - 1 - 1 1 - 1 1 1 1 - 1 1 - - - - - - ]
[ 1 1 1 - 1 - - 1 - 1 1 - - - - 1 1 1 1 - 1 1 - 1 1 1 - - - - - - ]
[ 1 1 1 1 - - - 1 - - - 1 1 - - - - - 1 1 1 - 1 1 - 1 1 - 1 - - 1 ]
[ 1 1 1 1 - - 1 - - - 1 - - 1 - - - - 1 1 - 1 1 1 1 - - 1 - 1 1 - ]
[ 1 - - - 1 1 1 1 - - 1 1 1 - - - - 1 - - - 1 1 1 1 - - 1 1 - - 1 ]
[ 1 - 1 1 - - - - 1 1 - - 1 - 1 1 - 1 1 1 - 1 - - 1 - - 1 1 - - 1 ]
[ 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - - - - - - - - - 1 1 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 38, 59, 39, 33, 6, 27, 7)(2, 13, 31 46, 34, 45, 63, 14)(3, 40, 36, 30, 
        35, 8, 4, 62)(5, 42, 25, 9, 37, 10, 57, 41)(11 19, 61 20, 43, 51 29, 
        52)(12, 18, 26, 17, 44, 50, 58, 49)(15, 24, 16, 32, 47, 56, 48, 64)(21,
     28, 54, 23, 53, 60, 22, 55)
    (1 3, 27, 4, 33, 35, 59, 36)(2, 41 63, 10, 34, 9, 31 42)(5, 46, 57, 13, 
        37, 14, 25, 45)(6, 40, 39, 62, 38, 8, 7, 30)(11 54, 29, 21 43, 22, 61,
     53)(12, 15, 58, 48, 44, 47, 26, 16)(17, 64, 18, 56, 49, 32, 50, 24)(19, 
        55, 52, 60, 51 23, 20, 28)
    (1 2, 23, 56, 33, 34, 55, 24)(3, 17, 52, 9, 35, 49, 20, 41)(4, 18, 51 42, 
        36, 50, 19, 10)(5, 40, 44, 11 37, 8, 12, 43)(6, 45, 21 16, 38, 13, 53,
        48)(7, 14, 54, 47, 39, 46, 22, 15)(25, 30, 58, 61 57, 62, 26, 29)(27, 
        63, 28, 32, 59, 31 60, 64)
    (3, 4)(6, 7)(9, 42)(10, 41)(13, 46)(14, 45)(15, 48)(16, 47)(17, 18)(19, 
        20)(21 54)(22, 53)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(35, 36)(38, 39)(49, 50)(51 52)
Automorphism group has centre of order: 2
Number of regular subgroups: 4
Number of regular subgroups containing zeta: 4
Number of centrally regular subgroups: 4
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 154>
<32, 28> <64, 154>
<32, 34> <64, 175>
<32, 27> <64, 137>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 - - - 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - 1 - 1 - 1 1 ]
[ 1 1 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - - - - - - 1 - 1 - - 1 1 ]
[ 1 1 1 - - - - - - - - - 1 1 1 - - - 1 1 1 1 1 1 - 1 1 1 1 - - - ]
[ 1 - - 1 1 - 1 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - - - 1 1 1 1 - - - ]
[ 1 1 - - 1 - - 1 - 1 - - 1 1 - - 1 - 1 1 - 1 1 - 1 - - - - 1 1 1 ]
[ 1 - 1 1 - - 1 - - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 1 - - - - 1 1 1 ]
[ 1 - 1 - 1 - - 1 1 1 1 - - 1 1 - 1 - - - 1 - - 1 1 1 - 1 - 1 - - ]
[ 1 - - - 1 1 - - 1 1 - - - - 1 - 1 1 1 - 1 1 - 1 - - 1 - 1 - 1 1 ]
[ 1 1 - - - 1 1 - 1 1 - 1 1 - 1 - - 1 1 - - 1 - - 1 1 - 1 - 1 - - ]
[ 1 1 - - 1 1 1 - - - - 1 1 1 - 1 1 - - - 1 - - 1 1 - 1 - 1 1 - - ]
[ 1 - 1 1 1 - - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - ]
[ 1 - - - 1 - 1 - 1 1 - 1 1 - - 1 - - - 1 1 - 1 1 - 1 - 1 - - 1 1 ]
[ 1 - - - - 1 - 1 - - 1 - 1 - - - - 1 - - 1 - 1 - 1 1 1 1 1 1 1 1 ]
[ 1 1 - 1 - 1 - 1 1 1 1 - 1 1 - 1 - 1 1 - 1 - 1 1 - - - - - - - - ]
[ 1 - 1 - 1 1 1 1 - - 1 1 1 - 1 - 1 1 - 1 1 1 1 - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - - 1 1 1 - - - 1 1 1 - - - 1 - ]
[ 1 1 - 1 1 - 1 - 1 - 1 - - 1 - - - 1 - 1 1 1 - - - - - 1 1 1 - 1 ]
[ 1 - 1 1 - 1 - 1 1 - - 1 1 - - - 1 - 1 1 - - - 1 - - - 1 1 1 - 1 ]
[ 1 - - 1 - - - - 1 - 1 1 1 1 - - 1 1 - 1 - 1 - 1 1 1 1 - - - 1 - ]
[ 1 1 1 - - - 1 1 1 - - - - - - 1 1 1 - - - 1 1 1 1 - 1 1 - - - 1 ]
[ 1 1 1 - - - - - - 1 1 1 - - - 1 1 1 1 1 1 - - - - - 1 1 - 1 1 - ]
[ 1 1 - 1 - 1 1 - - 1 1 - - - 1 - 1 - - 1 - - 1 1 - 1 1 - - 1 - 1 ]
[ 1 - - - - 1 1 - 1 - 1 - - 1 1 1 1 - 1 1 - - 1 - 1 - - 1 1 - 1 - ]
[ 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 - - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - - 1 1 - 1 1 - - - 1 - 1 1 - - 1 1 - - - 1 1 - - 1 1 - 1 1 - ]
[ 1 - 1 1 - - 1 - - 1 - 1 - 1 - - 1 1 1 - 1 - 1 - 1 1 - - 1 - - 1 ]
[ 1 1 - - 1 - - 1 - - 1 1 - - 1 1 - 1 1 1 - - - 1 1 1 - - 1 - - 1 ]
[ 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 1 - - - 1 1 1 - - 1 - 1 1 - - - 1 ]
[ 1 - 1 - - 1 1 1 - 1 - - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 1 - ]
[ 1 1 - 1 - - - 1 1 - - 1 - - 1 1 1 - - - 1 1 1 - - 1 - - 1 1 1 - ]
[ 1 1 1 1 1 1 - - - 1 1 1 - - - - - - - - - 1 1 1 1 - - 1 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1152 = 2^7 * 3^2
    (1 37, 34, 13, 33, 5, 2, 45)(3, 14, 4, 10, 35, 46, 36, 42)(6, 20, 43, 25, 
        38, 52, 11 57)(7, 19, 44, 55, 39, 51 12, 23)(8, 30, 15, 27, 40, 62, 
        47, 59)(9, 31 48, 28, 41 63, 16, 60)(17, 29, 64, 26, 49, 61 32, 
        58)(18, 21 24, 22, 50, 53, 56, 54)
    (2, 3, 36)(4, 34, 35)(5, 8, 12)(6, 9, 13)(7, 42, 43)(10, 11 39)(14, 47, 
        48)(15, 16, 46)(17, 53, 22)(18, 63, 27)(19, 62, 58)(20, 61 60)(21 54, 
        49)(23, 25, 56)(24, 55, 57)(26, 51 30)(28, 52, 29)(31 59, 50)(37, 40, 
        44)(38, 41 45)
    (5, 38)(6, 37)(8, 10)(11 45)(13, 43)(14, 47)(15, 46)(17, 49)(18, 51)(19, 
        50)(20, 52)(21 53)(22, 54)(23, 24)(25, 57)(26, 28)(27, 59)(29, 31)(30, 
        62)(32, 64)(40, 42)(55, 56)(58, 60)(61 63)
    (6, 7)(8, 41)(9, 40)(11 12)(15, 16)(17, 49)(18, 50)(19, 20)(21 53)(22, 
        54)(23, 57)(24, 56)(25, 55)(26, 58)(27, 60)(28, 59)(29, 61)(30, 63)(31,
     62)(32, 64)(38, 39)(43, 44)(47, 48)(51 52)
Automorphism group has centre of order: 2
Number of regular subgroups: 4
Number of regular subgroups containing zeta: 4
Number of centrally regular subgroups: 4
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 27> <64, 136>
<32, 28> <64, 154>
<32, 34> <64, 178>
<32, 28> <64, 154>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - - 1 - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 - - - - - - - - - ]
[ 1 1 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 - 1 - 1 - 1 - 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - 1 1 1 1 - - 1 - 1 - 1 - 1 - - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - ]
[ 1 1 - - - - 1 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 1 - - - - 1 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - ]
[ 1 1 - - - - 1 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 1 - - - - 1 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 - 1 - 1 - 1 1 1 1 - - - - - - - - 1 1 1 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - - - - - 1 1 1 1 1 1 1 1 - - - - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - - 1 - 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 - - ]
[ 1 - 1 - - 1 - 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 1 - - ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 1 - - - - 1 1 ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 1 - - - - 1 1 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - - 1 1 1 1 - - 1 - - 1 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - - 1 1 1 1 - - - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 1 - - - - 1 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 1 - - - - 1 1 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 - - 1 1 1 1 - - - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 8192 = 2^13
    (9, 12)(10, 11)(13, 14)(15, 16)(17, 18)(19, 20)(21 22)(23, 24)(41 44)(42, 
        43)(45, 46)(47, 48)(49, 50)(51 52)(53, 54)(55, 56)
    (9, 44)(10, 43)(11 42)(12, 41)(13, 46)(14, 45)(15, 48)(16, 47)(17, 50)(18, 
        49)(19, 52)(20, 51)(21 54)(22, 53)(23, 56)(24, 55)
    (1 17, 59, 55, 36, 12, 5, 10, 34, 18, 28, 56, 3, 9, 40, 11)(2, 50, 60, 24, 
        35, 41 8, 43, 33, 49, 27, 23, 4, 44, 37, 42)(6, 47, 57, 46, 61 52, 63,
        22, 39, 48, 26, 45, 30, 51 32, 21)(7, 16, 58, 13, 62, 19, 64, 53, 38, 
        15, 25, 14, 29, 20, 31 54)
    (5, 60, 40, 27)(6, 62, 39, 29)(7, 61 38, 30)(8, 59, 37, 28)(9, 56, 41,
     24)(10, 50, 42, 18)(11 49, 43, 17)(12, 55, 44, 23)(13, 15, 14, 16)(19, 
        53, 20, 54)(21 52, 22, 51)(25, 57)(26, 58)(31 63)(32, 64)(45, 47, 46, 
        48)
    (3, 4)(5, 8)(6, 7)(9, 13, 12, 14)(10, 16, 11 15)(17, 21 18, 22)(19, 23, 
        20, 24)(25, 26)(35, 36)(37, 40)(38, 39)(41 45, 44, 46)(42, 48, 43, 
        47)(49, 53, 50, 54)(51 55, 52, 56)(57, 58)
    (5, 8)(6, 7)(9, 18, 12, 17)(10, 23, 11 24)(13, 21 14, 22)(15, 20, 16, 
        19)(27, 28)(29, 30)(37, 40)(38, 39)(41 50, 44, 49)(42, 55, 43, 56)(45, 
        53, 46, 54)(47, 52, 48, 51)(59, 60)(61 62)
    (6, 7)(9, 12)(13, 14)(17, 18)(21 22)(25, 26)(29, 30)(31 32)(38, 39)(41,
     44)(45, 46)(49, 50)(53, 54)(57, 58)(61 62)(63, 64)
Automorphism group has centre of order: 4
Number of regular subgroups: 64
Number of regular subgroups containing zeta: 64
Number of centrally regular subgroups: 64
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 43> <64, 182>
<32, 43> <64, 149>
<32, 43> <64, 182>
<32, 43> <64, 149>
<32, 43> <64, 109>
<32, 43> <64, 121>
<32, 43> <64, 109>
<32, 43> <64, 121>
<32, 43> <64, 158>
<32, 43> <64, 163>
<32, 43> <64, 159>
<32, 43> <64, 165>
<32, 43> <64, 165>
<32, 43> <64, 159>
<32, 43> <64, 163>
<32, 43> <64, 158>
<32, 39> <64, 181>
<32, 39> <64, 147>
<32, 42> <64, 180>
<32, 42> <64, 148>
<32, 39> <64, 107>
<32, 39> <64, 118>
<32, 42> <64, 108>
<32, 42> <64, 120>
<32, 39> <64, 155>
<32, 39> <64, 161>
<32, 42> <64, 160>
<32, 42> <64, 166>
<32, 39> <64, 161>
<32, 39> <64, 155>
<32, 42> <64, 166>
<32, 42> <64, 160>
<32, 40> <64, 119>
<32, 42> <64, 120>
<32, 40> <64, 96>
<32, 42> <64, 97>
<32, 44> <64, 122>
<32, 43> <64, 121>
<32, 44> <64, 100>
<32, 43> <64, 98>
<32, 40> <64, 156>
<32, 42> <64, 160>
<32, 40> <64, 129>
<32, 42> <64, 133>
<32, 44> <64, 160>
<32, 43> <64, 158>
<32, 44> <64, 132>
<32, 43> <64, 130>
<32, 40> <64, 142>
<32, 42> <64, 145>
<32, 40> <64, 164>
<32, 42> <64, 166>
<32, 44> <64, 143>
<32, 43> <64, 144>
<32, 44> <64, 166>
<32, 43> <64, 165>
<32, 40> <64, 168>
<32, 42> <64, 169>
<32, 40> <64, 146>
<32, 42> <64, 148>
<32, 44> <64, 172>
<32, 43> <64, 170>
<32, 44> <64, 151>
<32, 43> <64, 149>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - ]
[ 1 1 - 1 1 - 1 - - 1 1 1 1 1 1 1 - - - - - - 1 - 1 - - - 1 - 1 - ]
[ 1 1 1 - - 1 - 1 1 - 1 1 1 1 1 1 - - - - - 1 - 1 - - - 1 - 1 - - ]
[ 1 1 - - - - - - - - 1 1 - - - - 1 1 1 1 - 1 1 1 1 - - 1 1 1 1 - ]
[ 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - 1 ]
[ 1 1 - 1 1 - 1 - - 1 1 1 - - - - - - - - 1 1 - 1 - 1 1 1 - 1 - 1 ]
[ 1 1 1 - - 1 - 1 1 - 1 1 - - - - - - - - 1 - 1 - 1 1 1 - 1 - 1 1 ]
[ 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 1 1 1 - - - - - - - - 1 1 1 - 1 - 1 - - - - - 1 1 1 1 1 - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - 1 - 1 1 1 1 1 - 1 - - - - - ]
[ 1 1 - 1 - 1 - 1 - 1 - - 1 1 - - - - 1 1 - 1 1 - - - 1 - - 1 1 1 ]
[ 1 1 1 - 1 - 1 - 1 - - - 1 1 - - - - 1 1 - - - 1 1 - 1 1 1 - - 1 ]
[ 1 1 1 - 1 - 1 - 1 - - - - - 1 1 - 1 - 1 - 1 1 - - 1 - - - 1 1 1 ]
[ 1 1 - 1 - 1 - 1 - 1 - - - - 1 1 - 1 - 1 - - - 1 1 1 - 1 1 - - 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - 1 1 - - 1 - - - - 1 - 1 1 1 1 - ]
[ 1 - 1 1 - - 1 1 - - 1 - 1 - 1 - - 1 1 - 1 1 1 - - - - 1 1 - - 1 ]
[ 1 - - - 1 1 - - 1 1 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 1 1 1 - - - ]
[ 1 - 1 1 - - 1 1 - - 1 - 1 - 1 - 1 - - 1 - - - 1 1 1 1 - - 1 1 - ]
[ 1 - - - 1 1 - - 1 1 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - - - 1 1 1 ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - 1 1 - - - - 1 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 1 1 - - 1 - - 1 - - 1 1 ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - - - 1 1 - 1 1 - 1 1 - - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - - 1 1 1 1 - - 1 - ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - - 1 - 1 1 - 1 - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 - - 1 - 1 1 ]
[ 1 - 1 1 - - - - 1 1 - 1 1 - - 1 - 1 - 1 1 1 - - 1 - 1 - 1 1 - - ]
[ 1 - - - 1 1 1 1 - - - 1 1 - - 1 - 1 - 1 1 - 1 1 - - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 1 - - - 1 - 1 1 - 1 1 - - - 1 - - 1 - 1 - 1 1 - 1 ]
[ 1 - 1 1 - - - - 1 1 - 1 - 1 1 - 1 1 - - - - 1 1 - - 1 1 - - 1 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - - 1 1 1 - 1 - 1 1 - 1 - 1 - - ]
[ 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - - 1 1 1 1 - 1 - 1 - - 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 8192 = 2^13
    (12, 13)(14, 15)(17, 20)(18, 19)(21 22)(23, 24)(27, 28)(29, 30)(44, 45)(46,
        47)(49, 52)(50, 51)(53, 54)(55, 56)(59, 60)(61 62)
    (1 43, 53, 44, 4, 32, 24, 28, 6, 10, 54, 13, 3, 63, 23, 59)(2, 62, 18, 25, 
        7, 46, 49, 16, 5, 29, 19, 58, 8, 15, 52, 41)(9, 34, 30, 50, 57, 39, 14, 
        17, 48, 37, 61 51 26, 40, 47, 20)(11 21 12, 36, 64, 56, 60, 38, 42, 
        22, 45, 35, 31 55, 27, 33)
    (2, 37)(5, 34)(7, 40)(8, 39)(9, 57, 48, 26)(10, 31 43, 64)(11 32, 42, 
        63)(12, 59, 45, 28)(13, 60, 44, 27)(14, 30, 47, 61)(15, 29, 46, 62)(16, 
        58, 41 25)(17, 49)(18, 50)(19, 51)(20, 52)(21 22)(23, 24)(53, 54)(55, 
        56)
    (9, 57, 48, 26)(10, 64, 43, 31)(11 63, 42, 32)(12, 59, 45, 28)(13, 60, 44, 
        27)(14, 61 47, 30)(15, 62, 46, 29)(16, 58, 41 25)(17, 49)(18, 50)(19, 
        51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)
    (3, 4)(7, 8)(9, 31 16, 32)(10, 26, 11 25)(12, 30, 13, 29)(14, 28, 15, 
        27)(17, 18)(19, 20)(21 24)(22, 23)(35, 36)(39, 40)(41 63, 48, 64)(42, 
        58, 43, 57)(44, 62, 45, 61)(46, 60, 47, 59)(49, 50)(51 52)(53, 56)(54, 
        55)
    (9, 13, 16, 12)(10, 14, 11 15)(17, 20)(18, 19)(21 22)(23, 24)(25, 27, 26, 
        28)(29, 32, 30, 31)(41 45, 48, 44)(42, 46, 43, 47)(49, 52)(50, 51)(53, 
        54)(55, 56)(57, 59, 58, 60)(61 64, 62, 63)
Automorphism group has centre of order: 4
Number of regular subgroups: 164
Number of regular subgroups containing zeta: 160
Number of centrally regular subgroups: 160
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 41> <64, 175>
<32, 39> <64, 174>
<32, 39> <64, 181>
<32, 41> <64, 181>
<32, 42> <64, 180>
<32, 15> <64, 15>
<32, 15> <64, 15>
<32, 15> <64, 15>
<32, 15> <64, 15>
<32, 39> <64, 167>
<32, 42> <64, 120>
<32, 42> <64, 118>
<32, 41> <64, 168>
<32, 39> <64, 118>
<32, 41> <64, 120>
<32, 42> <64, 176>
<32, 41> <64, 120>
<32, 39> <64, 118>
<32, 42> <64, 180>
<32, 40> <64, 173>
<32, 42> <64, 120>
<32, 42> <64, 118>
<32, 40> <64, 179>
<32, 16> <64, 26>
<32, 16> <64, 26>
<32, 16> <64, 44>
<32, 16> <64, 44>
<32, 40> <64, 167>
<32, 40> <64, 168>
<32, 42> <64, 176>
<32, 18> <64, 38>
<32, 15> <64, 16>
<32, 42> <64, 169>
<32, 15> <64, 16>
<32, 16> <64, 44>
<32, 17> <64, 44>
<32, 17> <64, 27>
<32, 42> <64, 119>
<32, 40> <64, 119>
<32, 42> <64, 169>
<32, 42> <64, 119>
<32, 17> <64, 44>
<32, 16> <64, 26>
<32, 40> <64, 119>
<32, 43> <64, 141>
<32, 43> <64, 158>
<32, 43> <64, 140>
<32, 43> <64, 157>
<32, 44> <64, 156>
<32, 44> <64, 143>
<32, 44> <64, 155>
<32, 44> <64, 142>
<32, 43> <64, 159>
<32, 43> <64, 144>
<32, 43> <64, 159>
<32, 43> <64, 144>
<32, 44> <64, 160>
<32, 44> <64, 145>
<32, 44> <64, 160>
<32, 44> <64, 145>
<32, 17> <64, 44>
<32, 17> <64, 27>
<32, 16> <64, 44>
<32, 16> <64, 26>
<32, 16> <64, 26>
<32, 17> <64, 27>
<32, 16> <64, 44>
<32, 17> <64, 44>
<32, 14> <64, 16>
<32, 14> <64, 16>
<32, 13> <64, 15>
<32, 13> <64, 15>
<32, 17> <64, 27>
<32, 38> <64, 117>
<32, 38> <64, 115>
<32, 36> <64, 115>
<32, 37> <64, 117>
<32, 38> <64, 126>
<32, 38> <64, 127>
<32, 36> <64, 126>
<32, 37> <64, 127>
<32, 38> <64, 115>
<32, 38> <64, 117>
<32, 36> <64, 115>
<32, 37> <64, 117>
<32, 38> <64, 127>
<32, 38> <64, 126>
<32, 36> <64, 126>
<32, 37> <64, 127>
<32, 7> <64, 14>
<32, 7> <64, 12>
<32, 7> <64, 12>
<32, 7> <64, 14>
<32, 8> <64, 13>
<32, 8> <64, 13>
<32, 8> <64, 13>
<32, 8> <64, 13>
<32, 19> <64, 39>
<32, 18> <64, 47>
<32, 18> <64, 38>
<32, 19> <64, 48>
<32, 18> <64, 47>
<32, 19> <64, 39>
<32, 19> <64, 48>
<32, 9> <64, 6>
<32, 18> <64, 38>
<32, 18> <64, 47>
<32, 19> <64, 48>
<32, 19> <64, 39>
<32, 4> <64, 3>
<32, 37> <64, 103>
<32, 37> <64, 104>
<32, 38> <64, 105>
<32, 38> <64, 105>
<32, 38> <64, 117>
<32, 38> <64, 115>
<32, 37> <64, 116>
<32, 37> <64, 116>
<32, 36> <64, 83>
<32, 37> <64, 85>
<32, 38> <64, 86>
<32, 38> <64, 86>
<32, 38> <64, 126>
<32, 38> <64, 127>
<32, 37> <64, 127>
<32, 37> <64, 127>
<32, 36> <64, 112>
<32, 37> <64, 112>
<32, 38> <64, 114>
<32, 38> <64, 114>
<32, 37> <64, 112>
<32, 37> <64, 113>
<32, 38> <64, 114>
<32, 38> <64, 114>
<32, 5> <64, 6>
<32, 5> <64, 7>
<32, 5> <64, 6>
<32, 5> <64, 7>
<32, 3> <64, 2>
<32, 4> <64, 3>
<32, 3> <64, 3>
<32, 9> <64, 6>
<32, 10> <64, 7>
<32, 10> <64, 7>
<32, 11> <64, 6>
<32, 11> <64, 6>
<32, 11> <64, 7>
<32, 11> <64, 7>
<32, 15> <64, 16>
<32, 15> <64, 16>
<32, 15> <64, 15>
<32, 15> <64, 15>
<32, 18> <64, 38>
<32, 18> <64, 47>
<32, 19> <64, 39>
<32, 19> <64, 48>
<32, 18> <64, 38>
<32, 18> <64, 47>
<32, 19> <64, 39>
<32, 19> <64, 48>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 ]
[ 1 - - 1 - - 1 1 1 1 1 1 1 1 1 1 - - - - - - 1 1 - 1 1 - - - - - ]
[ 1 - - 1 - - 1 1 - - - - - - - - 1 1 1 1 - - 1 1 - 1 1 - 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 - - - - 1 1 1 - 1 - - - 1 - - - 1 1 1 1 - - - - 1 1 1 - ]
[ 1 - - 1 1 1 - - - - 1 - 1 1 1 - 1 1 1 - 1 1 - - - 1 1 - - - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 1 - 1 - - - - 1 - - 1 - 1 1 - 1 - 1 - 1 1 ]
[ 1 1 - - 1 - - 1 1 - 1 1 - - 1 - - 1 - - - 1 1 - 1 1 - - - 1 1 1 ]
[ 1 1 1 - - - 1 - - - - 1 1 1 1 - 1 1 1 - 1 - 1 1 1 - - - - - - 1 ]
[ 1 1 - - - 1 - 1 - 1 - - 1 - 1 1 1 1 - 1 - 1 - 1 1 1 - - 1 - - - ]
[ 1 - 1 - 1 - - 1 1 - - - 1 1 - 1 1 - 1 1 - 1 1 - 1 - 1 - - 1 - - ]
[ 1 - - - 1 1 1 - 1 1 - 1 1 - - - 1 - - - 1 - - - 1 1 1 - 1 1 - 1 ]
[ 1 1 - 1 - 1 - - 1 - 1 - 1 1 - - - - 1 1 - - - 1 1 1 - 1 - 1 - 1 ]
[ 1 - 1 1 1 - - - - 1 1 - 1 - 1 - - 1 - 1 - - 1 - 1 - 1 1 1 - - 1 ]
[ 1 - - 1 - - 1 1 - 1 1 - - - 1 1 1 - 1 - 1 1 - - 1 - - 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - 1 1 - - 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 - - 1 1 ]
[ 1 1 - - - 1 1 - - - 1 1 1 - - 1 - 1 1 - - 1 1 - - - 1 1 1 1 - - ]
[ 1 1 1 - - - - 1 - - 1 1 1 - - 1 1 - - 1 1 - - - - 1 1 1 - - 1 1 ]
[ 1 - - - 1 1 - 1 1 - 1 - - 1 - 1 1 1 - - 1 - 1 1 - - - 1 1 - - 1 ]
[ 1 1 1 - - - - 1 1 1 - - - 1 1 - - 1 1 - 1 - - - - 1 1 1 1 1 - - ]
[ 1 1 - - - 1 1 - 1 1 - - - 1 1 - 1 - - 1 - 1 1 - - - 1 1 - - 1 1 ]
[ 1 - 1 - 1 - 1 - - - 1 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 1 - - ]
[ 1 1 - - 1 - 1 - 1 - 1 - - - 1 1 - - 1 1 1 - - 1 1 - 1 - 1 - 1 - ]
[ 1 - - - 1 1 - 1 - 1 - 1 1 - 1 - - - 1 1 1 - 1 1 - - - 1 - 1 1 - ]
[ 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 1 - - - 1 1 - ]
[ 1 - 1 1 - 1 - - 1 - - 1 - - 1 1 - - 1 1 1 1 1 - - 1 - - 1 - - 1 ]
[ 1 1 - 1 1 - - - - 1 - 1 - 1 - 1 - 1 - 1 1 1 - 1 - - 1 - - 1 - 1 ]
[ 1 - - 1 - - 1 1 1 - - 1 1 1 - - - 1 - 1 1 1 - - 1 - - 1 1 - 1 - ]
[ 1 - 1 1 - 1 - - 1 - - 1 - - 1 1 1 1 - - - - - 1 1 - 1 1 - 1 1 - ]
[ 1 1 - 1 1 - - - - 1 - 1 - 1 - 1 1 - 1 - - - 1 - 1 1 - 1 1 - 1 - ]


Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 46, 6, 43)(2, 41 35, 10)(3, 42, 34, 9)(4, 45, 37, 12)(5, 44, 36, 13)(7,
        22, 8, 20)(11 33, 14, 38)(15, 19, 48, 55)(16, 23, 47, 51)(17, 59, 30, 
        57)(18, 64, 56, 31)(21 29, 26, 28)(24, 63, 50, 32)(25, 49, 27, 62)(39, 
        54, 40, 52)(53, 61 58, 60)
    (1 60)(2, 48)(3, 47)(4, 64)(5, 63)(6, 61)(7, 62)(8, 49)(9, 55)(10, 51)(11,
     58)(12, 50)(13, 56)(14, 53)(15, 35)(16, 34)(17, 40)(18, 44)(19, 42)(20, 
        59)(21 46)(22, 57)(23, 41)(24, 45)(25, 54)(26, 43)(27, 52)(28, 33)(29, 
        38)(30, 39)(31 37)(32, 36)
    (1 2, 33, 34)(3, 6, 35, 38)(4, 54, 36, 22)(5, 20, 37, 52)(7, 13, 39, 45)(8,
        44, 40, 12)(9, 11 41 43)(10, 46, 42, 14)(15, 60, 47, 28)(16, 29, 48, 
        61)(17, 56, 49, 24)(18, 62, 50, 30)(19, 26, 51 58)(21 23, 53, 55)(25, 
        31 57, 63)(27, 64, 59, 32)
    (2, 3)(7, 39)(8, 40)(9, 41)(10, 42)(11 14)(12, 45)(13, 44)(15, 48)(16, 
        47)(18, 24)(20, 54)(21 58)(22, 52)(25, 27)(26, 53)(28, 60)(29, 61)(31,
     63)(32, 64)(34, 35)(43, 46)(50, 56)(57, 59)
    (7, 40)(8, 39)(9, 10)(11 46)(12, 13)(14, 43)(15, 47)(16, 48)(17, 30)(18, 
        56)(19, 55)(21 26)(23, 51)(24, 50)(25, 57)(27, 59)(28, 60)(29, 61)(31,
     63)(32, 64)(41 42)(44, 45)(49, 62)(53, 58)
    (4, 37)(5, 36)(7, 10)(8, 41)(9, 40)(11 12)(13, 46)(14, 45)(15, 25)(16, 
        59)(17, 49)(18, 50)(19, 23)(20, 22)(21 58)(24, 56)(26, 53)(27, 48)(28, 
        63)(29, 32)(30, 62)(31 60)(39, 42)(43, 44)(47, 57)(51 55)(52, 54)(61, 64)
Automorphism group has centre of order: 4
Number of regular subgroups: 168
Number of regular subgroups containing zeta: 168
Number of centrally regular subgroups: 168
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 44> <64, 160>
<32, 40> <64, 96>
<32, 42> <64, 120>
<32, 44> <64, 132>
<32, 43> <64, 159>
<32, 43> <64, 149>
<32, 43> <64, 98>
<32, 43> <64, 162>
<32, 37> <64, 104>
<32, 40> <64, 156>
<32, 40> <64, 156>
<32, 37> <64, 117>
<32, 38> <64, 115>
<32, 44> <64, 166>
<32, 44> <64, 132>
<32, 37> <64, 117>
<32, 42> <64, 180>
<32, 39> <64, 107>
<32, 43> <64, 158>
<32, 43> <64, 165>
<32, 40> <64, 119>
<32, 43> <64, 149>
<32, 42> <64, 133>
<32, 44> <64, 129>
<32, 37> <64, 85>
<32, 43> <64, 182>
<32, 44> <64, 122>
<32, 37> <64, 116>
<32, 38> <64, 115>
<32, 42> <64, 108>
<32, 40> <64, 96>
<32, 37> <64, 116>
<32, 44> <64, 160>
<32, 43> <64, 165>
<32, 42> <64, 148>
<32, 40> <64, 96>
<32, 44> <64, 160>
<32, 43> <64, 182>
<32, 40> <64, 164>
<32, 40> <64, 106>
<32, 37> <64, 103>
<32, 43> <64, 158>
<32, 44> <64, 160>
<32, 37> <64, 116>
<32, 38> <64, 117>
<32, 43> <64, 109>
<32, 44> <64, 100>
<32, 37> <64, 116>
<32, 42> <64, 180>
<32, 39> <64, 107>
<32, 42> <64, 148>
<32, 39> <64, 107>
<32, 41> <64, 120>
<32, 42> <64, 160>
<32, 41> <64, 132>
<32, 41> <64, 96>
<32, 36> <64, 83>
<32, 39> <64, 181>
<32, 41> <64, 120>
<32, 36> <64, 115>
<32, 38> <64, 117>
<32, 42> <64, 166>
<32, 41> <64, 132>
<32, 36> <64, 115>
<32, 43> <64, 159>
<32, 43> <64, 162>
<32, 43> <64, 149>
<32, 43> <64, 98>
<32, 40> <64, 119>
<32, 42> <64, 159>
<32, 44> <64, 133>
<32, 44> <64, 98>
<32, 43> <64, 159>
<32, 43> <64, 98>
<32, 42> <64, 119>
<32, 42> <64, 133>
<32, 39> <64, 118>
<32, 39> <64, 147>
<32, 42> <64, 130>
<32, 42> <64, 130>
<32, 42> <64, 180>
<32, 40> <64, 106>
<32, 44> <64, 151>
<32, 43> <64, 109>
<32, 44> <64, 160>
<32, 44> <64, 182>
<32, 44> <64, 166>
<32, 44> <64, 109>
<32, 42> <64, 180>
<32, 43> <64, 109>
<32, 44> <64, 156>
<32, 42> <64, 166>
<32, 43> <64, 159>
<32, 40> <64, 146>
<32, 44> <64, 98>
<32, 42> <64, 163>
<32, 43> <64, 109>
<32, 39> <64, 107>
<32, 40> <64, 164>
<32, 43> <64, 165>
<32, 43> <64, 109>
<32, 39> <64, 181>
<32, 42> <64, 148>
<32, 43> <64, 109>
<32, 42> <64, 180>
<32, 42> <64, 160>
<32, 44> <64, 160>
<32, 43> <64, 182>
<32, 42> <64, 148>
<32, 42> <64, 166>
<32, 44> <64, 100>
<32, 43> <64, 158>
<32, 42> <64, 160>
<32, 44> <64, 122>
<32, 43> <64, 158>
<32, 42> <64, 120>
<32, 44> <64, 151>
<32, 44> <64, 132>
<32, 44> <64, 122>
<32, 44> <64, 132>
<32, 42> <64, 97>
<32, 44> <64, 133>
<32, 42> <64, 133>
<32, 43> <64, 98>
<32, 43> <64, 165>
<32, 44> <64, 151>
<32, 40> <64, 96>
<32, 40> <64, 156>
<32, 39> <64, 181>
<32, 43> <64, 158>
<32, 43> <64, 182>
<32, 40> <64, 156>
<32, 40> <64, 179>
<32, 42> <64, 120>
<32, 38> <64, 86>
<32, 37> <64, 117>
<32, 43> <64, 157>
<32, 42> <64, 119>
<32, 44> <64, 121>
<32, 42> <64, 159>
<32, 43> <64, 158>
<32, 44> <64, 156>
<32, 37> <64, 116>
<32, 38> <64, 105>
<32, 40> <64, 179>
<32, 42> <64, 108>
<32, 44> <64, 109>
<32, 44> <64, 151>
<32, 43> <64, 157>
<32, 42> <64, 97>
<32, 42> <64, 163>
<32, 43> <64, 149>
<32, 44> <64, 121>
<32, 44> <64, 129>
<32, 40> <64, 146>
<32, 42> <64, 133>
<32, 41> <64, 158>
<32, 41> <64, 96>
<32, 41> <64, 148>
<32, 42> <64, 166>
<32, 38> <64, 86>
<32, 37> <64, 116>
<32, 44> <64, 182>
<32, 44> <64, 122>
<32, 38> <64, 105>
<32, 36> <64, 115>
<32, 41> <64, 158>
<32, 42> <64, 160>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 - - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 - - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 - - 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - - 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - - 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - - 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 - - 1 1 - - 1 1 - - 1 1 ]
[ 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 1 - 1 - - 1 1 - 1 - - - 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 - - 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - - 1 1 - 1 - 1 - 1 - 1 1 1 - - - 1 - 1 - 1 - - 1 - 1 1 - - 1 ]
[ 1 - 1 1 - - - 1 1 1 1 - - 1 - - 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 1 - - 1 1 1 - - - - 1 1 - 1 1 - - 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 1 1 - - 1 - 1 - 1 - 1 - - - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 1 - 1 - 1 - 1 - 1 1 - - 1 - - - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 1 - - 1 - - 1 1 1 1 - - - 1 1 - 1 - - 1 - - 1 - 1 1 - - 1 - 1 ]
[ 1 - 1 1 - 1 1 - - - - 1 1 1 - - 1 1 - - 1 - - 1 - 1 1 - - 1 - 1 ]
[ 1 1 1 - - - 1 - 1 - 1 - 1 - - 1 1 1 - - - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - - - 1 1 1 1 1 1 1 1 - - - - - - 1 - - 1 1 - - 1 1 - - 1 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 786432 = 2^18 * 3
    (5, 7)(6, 40)(8, 38)(10, 42)(11 43)(12, 47)(13, 14)(15, 44)(16, 48)(17, 
        49)(18, 19)(20, 63)(21 53)(23, 60)(25, 57)(26, 29)(27, 59)(28, 55)(31,
     52)(32, 64)(37, 39)(45, 46)(50, 51)(58, 61)
    (4, 11 36, 43)(5, 40, 37, 8)(6, 7, 38, 39)(9, 10, 41 42)(12, 15)(13, 
        46)(14, 45)(16, 48)(17, 49)(18, 20)(19, 63)(22, 54)(23, 60, 55, 28)(24, 
        57, 56, 25)(26, 29, 58, 61)(27, 62, 59, 30)(31 51)(32, 64)(44, 47)(50, 
        52)
    (1 2)(3, 31)(4, 23, 8, 29, 10, 26, 5, 28)(6, 25, 11 27, 7, 24, 9, 30)(12, 
        19, 13, 20)(14, 22, 15, 21)(16, 18)(17, 32)(33, 34)(35, 63)(36, 55, 40, 
        61 42, 58, 37, 60)(38, 57, 43, 59, 39, 56, 41 62)(44, 51 45, 52)(46, 
        54, 47, 53)(48, 50)(49, 64)
    (2, 4)(3, 9)(5, 14)(6, 12)(7, 13)(8, 15)(10, 17)(11 16)(34, 36)(35, 41)(37,
        46)(38, 44)(39, 45)(40, 47)(42, 49)(43, 48)
    (3, 35)(4, 36)(5, 6)(7, 40)(8, 39)(11 43)(12, 46)(13, 15)(14, 44)(17, 
        49)(18, 51)(19, 50)(20, 31)(21 53)(24, 30)(25, 59)(26, 58)(27, 57)(29, 
        61)(32, 64)(37, 38)(45, 47)(52, 63)(56, 62)
    (3, 15, 12)(4, 9, 6)(7, 10, 11)(13, 16, 14)(18, 20, 21)(19, 22, 31)(23, 29, 
        24)(25, 26, 28)(35, 47, 44)(36, 41 38)(39, 42, 43)(45, 48, 46)(50, 52, 
        53)(51 54, 63)(55, 61 56)(57, 58, 60)
    (4, 8, 10, 5)(6, 11 7, 9)(12, 13)(14, 15)(19, 20)(21 22)(23, 29, 26, 
        28)(24, 30, 25, 27)(36, 40, 42, 37)(38, 43, 39, 41)(44, 45)(46, 47)(51,
     52)(53, 54)(55, 61 58, 60)(56, 62, 57, 59)
Automorphism group has centre of order: 2
Number of regular subgroups: 116
Number of regular subgroups containing zeta: 114
Number of centrally regular subgroups: 114
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 95>
<32, 39> <64, 107>
<32, 40> <64, 106>
<32, 40> <64, 96>
<32, 40> <64, 131>
<32, 40> <64, 164>
<32, 41> <64, 165>
<32, 41> <64, 132>
<32, 42> <64, 166>
<32, 42> <64, 120>
<32, 42> <64, 160>
<32, 42> <64, 108>
<32, 42> <64, 148>
<32, 42> <64, 160>
<32, 42> <64, 180>
<32, 42> <64, 166>
<32, 39> <64, 161>
<32, 39> <64, 118>
<32, 39> <64, 155>
<32, 39> <64, 107>
<32, 39> <64, 147>
<32, 39> <64, 155>
<32, 39> <64, 181>
<32, 39> <64, 161>
<32, 43> <64, 165>
<32, 43> <64, 121>
<32, 43> <64, 159>
<32, 43> <64, 109>
<32, 43> <64, 149>
<32, 43> <64, 158>
<32, 43> <64, 182>
<32, 43> <64, 163>
<32, 43> <64, 163>
<32, 43> <64, 121>
<32, 43> <64, 158>
<32, 43> <64, 109>
<32, 43> <64, 149>
<32, 43> <64, 159>
<32, 43> <64, 182>
<32, 43> <64, 165>
<32, 43> <64, 149>
<32, 43> <64, 165>
<32, 43> <64, 170>
<32, 43> <64, 144>
<32, 43> <64, 121>
<32, 43> <64, 158>
<32, 43> <64, 98>
<32, 43> <64, 130>
<32, 44> <64, 172>
<32, 44> <64, 143>
<32, 44> <64, 151>
<32, 44> <64, 166>
<32, 44> <64, 100>
<32, 44> <64, 132>
<32, 44> <64, 122>
<32, 44> <64, 160>
<32, 42> <64, 166>
<32, 42> <64, 148>
<32, 42> <64, 145>
<32, 42> <64, 169>
<32, 42> <64, 160>
<32, 42> <64, 120>
<32, 42> <64, 133>
<32, 42> <64, 97>
<32, 40> <64, 142>
<32, 40> <64, 168>
<32, 40> <64, 164>
<32, 40> <64, 146>
<32, 40> <64, 129>
<32, 40> <64, 96>
<32, 40> <64, 156>
<32, 40> <64, 119>
<32, 9> <64, 21>
<32, 9> <64, 21>
<32, 43> <64, 150>
<32, 43> <64, 149>
<32, 43> <64, 130>
<32, 43> <64, 163>
<32, 37> <64, 116>
<32, 36> <64, 115>
<32, 38> <64, 115>
<32, 38> <64, 105>
<32, 38> <64, 86>
<32, 38> <64, 116>
<32, 10> <64, 9>
<32, 10> <64, 9>
<32, 42> <64, 146>
<32, 42> <64, 148>
<32, 42> <64, 108>
<32, 42> <64, 97>
<32, 43> <64, 157>
<32, 43> <64, 98>
<32, 43> <64, 130>
<32, 43> <64, 123>
<32, 43> <64, 158>
<32, 43> <64, 182>
<32, 43> <64, 159>
<32, 43> <64, 121>
<32, 39> <64, 181>
<32, 39> <64, 107>
<32, 39> <64, 161>
<32, 39> <64, 155>
<32, 42> <64, 119>
<32, 42> <64, 133>
<32, 42> <64, 97>
<32, 42> <64, 159>
<32, 42> <64, 120>
<32, 42> <64, 160>
<32, 42> <64, 180>
<32, 42> <64, 160>
<32, 43> <64, 158>
<32, 43> <64, 165>
<32, 43> <64, 109>
<32, 43> <64, 182>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 - 1 - 1 1 - - - - 1 - 1 - - - - - 1 - 1 - 1 1 1 - 1 - 1 1 ]
[ 1 1 - 1 - 1 1 1 - - - - - 1 - 1 - - - - - 1 - 1 1 1 - 1 - 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - - - 1 1 1 1 - - ]
[ 1 1 - 1 1 - - - - - 1 1 1 - - 1 - - 1 1 1 - - 1 1 1 - 1 1 - - - ]
[ 1 1 1 - - 1 - - - - 1 1 - 1 1 - - - 1 1 - 1 1 - 1 1 1 - - 1 - - ]
[ 1 1 - 1 1 - - - - - 1 1 - 1 1 - 1 1 - - - 1 1 - - - - 1 1 - 1 1 ]
[ 1 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - - 1 - - 1 - - 1 - - 1 1 1 ]
[ 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - - - 1 1 1 - 1 - - - - 1 - 1 1 1 ]
[ 1 1 1 - 1 - - - 1 1 - - - 1 - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 - 1 - 1 - - - 1 1 1 - 1 - - - 1 1 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 1 - - 1 - 1 1 1 - - - 1 - 1 1 1 - - 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 - 1 - 1 1 - - - 1 1 1 - - 1 1 1 - - - 1 1 1 - - 1 - ]
[ 1 - 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 1 - 1 1 - - 1 - ]
[ 1 - 1 1 - - - 1 - 1 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 - - 1 1 1 - ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 - 1 - - - 1 1 - 1 1 1 - - - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 1 - 1 - 1 1 - - - 1 - - 1 1 - 1 ]

Permutation group acting on a set of cardinality 64
    (16, 49)(17, 48)(18, 60)(19, 61)(20, 53)(21 52)(22, 55)(23, 54)(24, 57)(25,
        56)(26, 59)(27, 58)(28, 50)(29, 51)(31 64)(32, 63)
    (4, 37)(5, 36)(6, 7)(10, 42)(11 43)(12, 44)(13, 45)(14, 46)(15, 47)(19, 
        61)(20, 21)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(29, 51)(38, 
        39)(52, 53)
    (1 2)(3, 5)(4, 9)(6, 14, 7, 15)(8, 30)(10, 13, 11 12)(16, 19)(17, 29)(18, 
        31)(20, 27, 21 26)(22, 24, 23, 25)(28, 32)(33, 34)(35, 37)(36, 41)(38, 
        46, 39, 47)(40, 62)(42, 45, 43, 44)(48, 51)(49, 61)(50, 63)(52, 59, 53, 
        58)(54, 56, 55, 57)(60, 64)
    (2, 37, 28, 19)(3, 16, 35, 48)(4, 50, 61 40)(5, 60, 51 34)(6, 54, 53, 
        44)(7, 55, 52, 45)(8, 36, 18, 29)(9, 17, 41 49)(12, 38, 22, 21)(13, 39,
        23, 20)(14, 26, 46, 58)(15, 27, 47, 59)(24, 56)(25, 57)(31 63)(32, 64)
    (3, 48)(4, 53)(5, 20)(6, 19)(7, 61)(8, 40)(9, 17)(10, 47)(11 14)(12, 
        23)(13, 54)(15, 42)(16, 35)(18, 50)(21 36)(22, 45)(24, 27)(25, 58)(26, 
        57)(29, 39)(30, 62)(31 63)(37, 52)(38, 51)(41 49)(43, 46)(44, 55)(56, 
        59)
    (10, 11)(12, 13)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 55)(23,
        54)(24, 57)(25, 56)(26, 58)(27, 59)(28, 60)(29, 61)(31 63)(32, 64)(42, 
        43)(44, 45)
    (3, 14, 25)(4, 23, 7)(5, 22, 6)(9, 15, 24)(10, 16, 27)(11 17, 26)(12, 21,
     29)(13, 20, 19)(35, 46, 57)(36, 55, 39)(37, 54, 38)(41 47, 56)(42, 48, 
        59)(43, 49, 58)(44, 53, 61)(45, 52, 51)
    (6, 7)(10, 11)(12, 13)(14, 15)(20, 21)(22, 23)(24, 25)(26, 27)(38, 39)(42, 
        43)(44, 45)(46, 47)(52, 53)(54, 55)(56, 57)(58, 59)
Automorphism group has centre of order: 2
Number of regular subgroups: 116
Number of regular subgroups containing zeta: 114
Number of centrally regular subgroups: 114
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 40> <64, 96>
<32, 40> <64, 106>
<32, 39> <64, 107>
<32, 39> <64, 95>
<32, 41> <64, 132>
<32, 41> <64, 165>
<32, 40> <64, 131>
<32, 40> <64, 164>
<32, 9> <64, 21>
<32, 9> <64, 21>
<32, 43> <64, 150>
<32, 43> <64, 149>
<32, 43> <64, 130>
<32, 43> <64, 163>
<32, 10> <64, 9>
<32, 10> <64, 9>
<32, 42> <64, 146>
<32, 42> <64, 148>
<32, 42> <64, 108>
<32, 42> <64, 97>
<32, 36> <64, 115>
<32, 37> <64, 116>
<32, 38> <64, 116>
<32, 38> <64, 105>
<32, 38> <64, 86>
<32, 38> <64, 115>
<32, 43> <64, 121>
<32, 43> <64, 98>
<32, 43> <64, 158>
<32, 43> <64, 130>
<32, 43> <64, 149>
<32, 43> <64, 170>
<32, 43> <64, 165>
<32, 43> <64, 144>
<32, 40> <64, 119>
<32, 40> <64, 96>
<32, 40> <64, 156>
<32, 40> <64, 129>
<32, 40> <64, 146>
<32, 40> <64, 168>
<32, 40> <64, 164>
<32, 40> <64, 142>
<32, 42> <64, 120>
<32, 42> <64, 97>
<32, 42> <64, 160>
<32, 42> <64, 133>
<32, 42> <64, 148>
<32, 42> <64, 169>
<32, 42> <64, 166>
<32, 42> <64, 145>
<32, 44> <64, 122>
<32, 44> <64, 100>
<32, 44> <64, 160>
<32, 44> <64, 132>
<32, 44> <64, 151>
<32, 44> <64, 172>
<32, 44> <64, 166>
<32, 44> <64, 143>
<32, 39> <64, 107>
<32, 39> <64, 118>
<32, 39> <64, 155>
<32, 39> <64, 161>
<32, 39> <64, 147>
<32, 39> <64, 181>
<32, 39> <64, 155>
<32, 39> <64, 161>
<32, 43> <64, 165>
<32, 43> <64, 159>
<32, 43> <64, 121>
<32, 43> <64, 109>
<32, 43> <64, 163>
<32, 43> <64, 158>
<32, 43> <64, 182>
<32, 43> <64, 149>
<32, 43> <64, 158>
<32, 43> <64, 163>
<32, 43> <64, 109>
<32, 43> <64, 121>
<32, 43> <64, 159>
<32, 43> <64, 165>
<32, 43> <64, 149>
<32, 43> <64, 182>
<32, 42> <64, 120>
<32, 42> <64, 108>
<32, 42> <64, 166>
<32, 42> <64, 160>
<32, 42> <64, 180>
<32, 42> <64, 148>
<32, 42> <64, 166>
<32, 42> <64, 160>
<32, 43> <64, 158>
<32, 43> <64, 165>
<32, 43> <64, 182>
<32, 43> <64, 109>
<32, 42> <64, 119>
<32, 42> <64, 133>
<32, 42> <64, 159>
<32, 42> <64, 97>
<32, 43> <64, 121>
<32, 43> <64, 159>
<32, 43> <64, 158>
<32, 43> <64, 182>
<32, 39> <64, 161>
<32, 39> <64, 155>
<32, 39> <64, 107>
<32, 39> <64, 181>
<32, 43> <64, 130>
<32, 43> <64, 123>
<32, 43> <64, 98>
<32, 43> <64, 157>
<32, 42> <64, 160>
<32, 42> <64, 180>
<32, 42> <64, 120>
<32, 42> <64, 160>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 - - 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 - - - - - - ]
[ 1 1 1 1 1 1 - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 - - - - - - ]
[ 1 - 1 - 1 1 1 1 1 1 - - - - 1 1 - - 1 1 1 - 1 - - - - - 1 1 - - ]
[ 1 1 - 1 - 1 1 1 - 1 1 - - 1 - 1 1 - 1 - - - 1 1 - - - 1 - - 1 - ]
[ 1 - - - - 1 - - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 1 - 1 1 1 1 - ]
[ 1 - - - - 1 - - 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 1 - 1 1 1 1 - ]
[ 1 1 - 1 - 1 1 1 1 - - 1 1 - 1 - - 1 - 1 1 1 - - - - - 1 - - 1 - ]
[ 1 - 1 - 1 1 1 1 - - 1 1 1 1 - - 1 1 - - - 1 - 1 - - - - 1 1 - - ]
[ 1 - 1 - 1 1 - - 1 1 - - - - 1 1 1 1 - - - 1 - 1 - - 1 1 - - 1 1 ]
[ 1 1 - 1 - 1 - - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - - 1 - 1 1 - 1 ]
[ 1 - - - - 1 1 1 1 - - 1 1 - 1 - 1 - 1 - - - 1 1 1 1 1 - - - - 1 ]
[ 1 - - - - 1 1 1 - 1 1 - - 1 - 1 - 1 - 1 1 1 - - 1 1 1 - - - - 1 ]
[ 1 1 - 1 - 1 - - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - - - 1 - 1 1 - 1 ]
[ 1 - 1 - 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - 1 - - - 1 1 - - 1 1 ]
[ 1 1 1 - - - 1 - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 - 1 1 1 - - - ]
[ 1 1 1 - - - 1 - - - - - 1 1 1 1 - - - - 1 1 1 1 1 - 1 1 1 - - - ]
[ 1 1 1 - - - - 1 - - - 1 - 1 1 1 - 1 1 1 - - - 1 - 1 - - 1 - 1 1 ]
[ 1 - 1 1 - - - 1 - - 1 - 1 - 1 1 1 1 1 - 1 - - - - 1 1 1 - 1 - - ]
[ 1 1 - - 1 - 1 - 1 - - - 1 1 - 1 1 1 - 1 - - 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 1 - 1 - - 1 - - 1 1 1 - 1 - 1 1 - 1 - - - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 1 - - 1 1 - - - 1 1 - 1 - - 1 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 - - 1 1 - - 1 1 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 - ]
[ 1 1 - - 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - - 1 1 1 - - 1 - 1 - 1 ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 - - 1 - - 1 1 - 1 - 1 1 - - - - 1 1 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - 1 1 - 1 1 - - 1 - 1 - 1 - - - - 1 1 1 ]
[ 1 1 - - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 1 - - 1 - - 1 - 1 - 1 ]
[ 1 1 1 - - - - 1 1 1 1 - 1 - - - 1 - - - 1 1 1 - - 1 - - 1 - 1 1 ]
[ 1 1 - - 1 - 1 - - 1 1 1 - - 1 - - - 1 - 1 1 - 1 - 1 1 - - 1 1 - ]
[ 1 - 1 1 - - - 1 1 1 - 1 - 1 - - - - - 1 - 1 1 1 - 1 1 1 - 1 - - ]
[ 1 - - 1 1 - 1 - 1 - 1 1 - - - 1 - 1 - - 1 - 1 1 - 1 - 1 1 - - 1 ]


Permutation group acting on a set of cardinality 64
Order = 8192 = 2^13
    (17, 50)(18, 49)(19, 61)(20, 63)(21 62)(22, 64)(23, 56)(24, 55)(25, 60)(26,
        59)(27, 58)(28, 57)(29, 51)(30, 53)(31 52)(32, 54)
    (5, 10)(7, 8)(11 16)(12, 15)(17, 56, 18, 55)(19, 54, 29, 64)(20, 53, 31,
     62)(21 63, 30, 52)(22, 61 32, 51)(23, 49, 24, 50)(25, 58, 28, 59)(26, 
        60, 27, 57)(37, 42)(39, 40)(43, 48)(44, 47)
    (1 17, 33, 49)(2, 50, 34, 18)(3, 59, 8, 30)(4, 26, 7, 53)(5, 56, 41 51)(6,
        61 42, 55)(9, 19, 37, 24)(10, 23, 38, 29)(11 28)(12, 64, 15, 22)(13, 
        63, 46, 52)(14, 20, 45, 31)(16, 57)(21 36, 58, 39)(25, 48)(27, 40, 62, 
        35)(32, 47, 54, 44)(43, 60)
    (3, 5, 4, 10)(6, 39, 9, 40)(7, 41 8, 38)(11 16)(12, 47)(13, 45)(14, 
        46)(15, 44)(17, 26, 31 19, 18, 27, 20, 29)(21 60, 23, 64, 30, 57, 24, 
        54)(22, 53, 28, 55, 32, 62, 25, 56)(35, 37, 36, 42)(43, 48)(49, 58, 63, 
        51 50, 59, 52, 61)
    (3, 6)(4, 9)(5, 39)(7, 37)(8, 42)(10, 40)(11 43)(12, 15)(13, 46)(14, 
        45)(16, 48)(19, 21)(20, 52)(22, 54)(23, 59)(24, 58)(26, 56)(27, 55)(29, 
        30)(31 63)(32, 64)(35, 38)(36, 41)(44, 47)(51 53)(61 62)
    (17, 25)(18, 28)(19, 21)(20, 32)(22, 31)(23, 27)(24, 26)(29, 30)(49, 57)(50,
        60)(51 53)(52, 64)(54, 63)(55, 59)(56, 58)(61 62)
    (17, 18)(19, 29)(20, 31)(21 30)(22, 32)(23, 24)(25, 28)(26, 27)(49, 50)(51,
     61)(52, 63)(53, 62)(54, 64)(55, 56)(57, 60)(58, 59)
Automorphism group has centre of order: 4
Number of regular subgroups: 64
Number of regular subgroups containing zeta: 64
Number of centrally regular subgroups: 64
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 42> <64, 169>
<32, 39> <64, 181>
<32, 42> <64, 180>
<32, 39> <64, 147>
<32, 42> <64, 148>
<32, 43> <64, 182>
<32, 43> <64, 182>
<32, 43> <64, 149>
<32, 43> <64, 149>
<32, 39> <64, 155>
<32, 42> <64, 160>
<32, 39> <64, 161>
<32, 42> <64, 166>
<32, 43> <64, 158>
<32, 43> <64, 159>
<32, 43> <64, 163>
<32, 43> <64, 165>
<32, 39> <64, 107>
<32, 42> <64, 108>
<32, 39> <64, 118>
<32, 42> <64, 120>
<32, 43> <64, 109>
<32, 43> <64, 109>
<32, 43> <64, 121>
<32, 43> <64, 121>
<32, 39> <64, 161>
<32, 42> <64, 166>
<32, 39> <64, 155>
<32, 42> <64, 160>
<32, 43> <64, 165>
<32, 43> <64, 163>
<32, 43> <64, 159>
<32, 43> <64, 158>
<32, 43> <64, 165>
<32, 44> <64, 166>
<32, 43> <64, 144>
<32, 44> <64, 143>
<32, 40> <64, 164>
<32, 42> <64, 166>
<32, 40> <64, 142>
<32, 42> <64, 145>
<32, 43> <64, 98>
<32, 44> <64, 100>
<32, 43> <64, 121>
<32, 44> <64, 122>
<32, 40> <64, 96>
<32, 42> <64, 97>
<32, 40> <64, 119>
<32, 42> <64, 120>
<32, 43> <64, 130>
<32, 44> <64, 132>
<32, 43> <64, 158>
<32, 44> <64, 160>
<32, 40> <64, 129>
<32, 42> <64, 133>
<32, 40> <64, 156>
<32, 42> <64, 160>
<32, 43> <64, 149>
<32, 44> <64, 151>
<32, 43> <64, 170>
<32, 44> <64, 172>
<32, 40> <64, 146>
<32, 42> <64, 148>
<32, 40> <64, 168>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 - - - - - 1 - 1 - 1 1 - 1 1 - - - 1 1 1 1 1 - 1 - - - 1 1 ]
[ 1 - 1 - 1 1 1 1 1 - 1 - - - - 1 1 - 1 1 - - - - 1 - 1 - 1 1 - - ]
[ 1 1 1 1 - 1 - 1 - - 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - - - - 1 ]
[ 1 1 1 1 1 - 1 - 1 - - 1 - - - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - ]
[ 1 1 1 1 - 1 - 1 - 1 - 1 1 1 - 1 1 - - - - - - - - - 1 1 1 - 1 - ]
[ 1 1 1 1 1 - 1 - 1 - 1 - 1 1 1 - - 1 - - - - - - - - 1 1 - 1 - 1 ]
[ 1 1 - 1 1 1 - 1 1 1 - - - 1 - - 1 - - - - - 1 1 1 1 - - - 1 - 1 ]
[ 1 1 1 - 1 1 1 - - 1 1 - 1 - - - - 1 - - - 1 - 1 1 1 - - 1 - 1 - ]
[ 1 1 - - 1 - - 1 1 1 1 1 1 - 1 1 - - - 1 - 1 1 - - - - - - 1 1 - ]
[ 1 1 - - - 1 1 - 1 1 1 1 - 1 1 1 - - 1 - 1 - - 1 - - - - 1 - - 1 ]
[ 1 - - 1 - - 1 1 - 1 1 - - - - 1 - - 1 - - 1 - 1 - 1 1 1 - 1 1 1 ]
[ 1 - - 1 1 1 - - - - 1 1 1 1 - 1 1 1 1 - 1 1 - - - 1 - - - 1 - - ]
[ 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 1 1 - - 1 1 - 1 1 - - - - - ]
[ 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 - - 1 - 1 - - 1 1 - 1 1 1 1 ]
[ 1 - - 1 - - 1 1 1 1 1 1 1 - - - 1 1 - 1 1 - - 1 1 - - 1 - - - - ]
[ 1 - - 1 1 1 - - - - - - 1 - 1 1 - - - 1 1 - - 1 1 - - 1 1 1 1 1 ]
[ 1 - 1 1 1 - 1 1 - 1 - - 1 1 - - - - 1 1 1 1 1 - - - - - 1 - - 1 ]
[ 1 - - - 1 - - - - 1 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 1 1 1 - - 1 ]
[ 1 - 1 - - - - - 1 1 - 1 1 - 1 - 1 - 1 - - 1 - - 1 1 - 1 1 1 - 1 ]
[ 1 - 1 - 1 1 1 1 - - - 1 - - 1 1 1 1 - - - 1 1 1 - - - 1 - - - 1 ]
[ 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 - - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 1 1 1 - - - ]
[ 1 1 - - - 1 1 - - - - 1 1 1 - - - - 1 1 - 1 1 1 1 - 1 1 - 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 1 1 - - - - 1 1 - - - - 1 - 1 - 1 - 1 1 1 - 1 - 1 - 1 1 1 - - ]
[ 1 1 1 1 - - - - - - 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 - - 1 - - - - 1 1 1 1 - - 1 1 1 - 1 - 1 - 1 1 - - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 64 = 2^6
    (1 49, 59, 11 33, 17, 27, 43)(2, 63, 7, 64, 34, 31 39, 32)(3, 57, 38, 54,
        35, 25, 6, 22)(4, 55, 21 12, 36, 23, 53, 44)(5, 13, 52, 56, 37, 45, 20,
        24)(8, 19, 60, 47, 40, 51 28, 15)(9, 46, 58, 50, 41 14, 26, 18)(10, 
        62, 48, 29, 42, 30, 16, 61)
    (1 50, 33, 18)(2, 23, 34, 55)(3, 15, 35, 47)(4, 63, 36, 31)(5, 48, 37, 
        16)(6, 19, 38, 51)(7, 12, 39, 44)(8, 54, 40, 22)(9, 43, 41 11)(10, 20, 
        42, 52)(13, 62, 45, 30)(14, 59, 46, 27)(17, 26, 49, 58)(21 32, 53, 
        64)(24, 29, 56, 61)(25, 60, 57, 28)
    (1 3, 27, 6, 33, 35, 59, 38)(2, 61 39, 30, 34, 29, 7, 62)(4, 5, 53, 20, 
        36, 37, 21 52)(8, 41 28, 58, 40, 9, 60, 26)(10, 32, 16, 31 42, 64, 
        48, 63)(11 54, 49, 57, 43, 22, 17, 25)(12, 56, 55, 13, 44, 24, 23, 
        45)(14, 15, 50, 51 46, 47, 18, 19)
    (1 2, 33, 34)(3, 62, 35, 30)(4, 8, 36, 40)(5, 26, 37, 58)(6, 29, 38, 61)(7,
        59, 39, 27)(9, 52, 41 20)(10, 25, 42, 57)(11 31 43, 63)(12, 51 44, 
        19)(13, 14, 45, 46)(15, 23, 47, 55)(16, 22, 48, 54)(17, 64, 49, 32)(18, 
        56, 50, 24)(21 28, 53, 60)
Automorphism group has centre of order: 4
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Number of centrally regular subgroups: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 188>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - 1 - - - 1 - 1 - - - - - - - 1 1 - 1 - 1 - ]
[ 1 1 1 1 1 1 1 1 - 1 1 - - - 1 - 1 - - - - - - - 1 - - 1 - 1 - 1 ]
[ 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 1 1 - - - - - - - - 1 1 ]
[ 1 1 - - - - - 1 - 1 1 1 1 1 1 - 1 - - 1 - - - - - 1 1 - 1 1 1 - ]
[ 1 1 - - - - 1 - 1 - 1 1 1 1 - 1 - 1 1 - - - - - 1 - - 1 1 1 - 1 ]
[ 1 - - 1 - 1 - - - - 1 - - - 1 1 1 1 1 1 - 1 - - 1 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 1 1 1 1 - 1 1 - - - - - - - 1 1 1 - - - 1 1 - 1 - ]
[ 1 1 1 - - 1 - - - - - 1 - 1 - - 1 - - - 1 1 - 1 1 - 1 1 1 - 1 1 ]
[ 1 1 - 1 1 - - - - - 1 - 1 - - - - 1 - - 1 1 1 - - 1 1 1 - 1 1 1 ]
[ 1 - 1 - - 1 - - 1 1 - 1 1 - 1 1 - - - - - 1 1 - 1 1 - - - 1 1 1 ]
[ 1 - 1 - - 1 1 1 - - - 1 1 - - - 1 1 1 1 - 1 1 - - - 1 1 - 1 - - ]
[ 1 1 - 1 - - - 1 1 - 1 1 - - 1 1 1 - 1 - - 1 1 1 - - 1 - - - - 1 ]
[ 1 1 1 - - - 1 - - 1 1 1 - - 1 1 - 1 - 1 1 - 1 1 - - - 1 - - 1 - ]
[ 1 - 1 1 - 1 - - 1 1 1 - 1 1 - 1 1 1 - 1 1 - - - - - 1 - - - - 1 ]
[ 1 - - - - 1 1 1 - - 1 - - - - 1 - - - 1 1 - 1 1 1 1 1 - 1 1 - 1 ]
[ 1 - - - 1 1 1 - 1 - 1 1 - 1 1 - 1 1 - - 1 1 - 1 - 1 - - - 1 - - ]
[ 1 - 1 1 - - 1 - 1 - - - - 1 1 - - - 1 1 - - - 1 - 1 1 1 - 1 1 1 ]
[ 1 1 1 1 - - - 1 1 - - - 1 - 1 - - 1 - 1 1 1 - 1 1 - - - 1 1 - - ]
[ 1 1 1 1 - - 1 - - 1 - - - 1 - 1 1 - 1 - 1 1 1 - - 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 1 - - - 1 - 1 1 1 - - - 1 1 - - 1 1 - 1 - 1 - 1 1 1 1 - - - - ]
[ 1 1 - - 1 - 1 - 1 1 - - 1 - - 1 1 - - 1 - 1 - 1 1 1 1 1 - - - - ]
[ 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - - - - - ]
[ 1 - - 1 - - 1 1 - 1 - 1 1 - - - 1 1 1 - 1 - - 1 1 1 - - - - 1 1 ]
[ 1 - - 1 1 1 - - - 1 - 1 1 - 1 1 - - 1 - 1 - - 1 - - 1 1 1 1 - - ]
[ 1 - 1 - 1 - - 1 1 1 1 1 - - - - - - 1 1 1 1 - - - 1 - 1 1 - - 1 ]
[ 1 - 1 - 1 - - 1 - - - - 1 1 1 1 1 1 - - - - 1 1 - 1 - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - - 1 1 - ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 39, 33, 7)(2, 47, 34, 15)(3, 27, 35, 59)(4, 5, 36, 37)(6, 62, 38, 30)(8,
        32, 40, 64)(9, 55, 41 23)(10, 17, 42, 49)(11 61 43, 29)(12, 53, 44, 
        21)(13, 48, 45, 16)(14, 60, 46, 28)(18, 26, 50, 58)(19, 31 51 63)(20, 
        24, 52, 56)(22, 25, 54, 57)
    (1 53, 33, 21)(2, 54, 34, 22)(3, 55, 35, 23)(4, 24, 36, 56)(5, 19, 37, 
        51)(6, 20, 38, 52)(7, 11 39, 43)(8, 12, 40, 44)(9, 48, 41 16)(10, 15, 
        42, 47)(13, 18, 45, 50)(14, 49, 46, 17)(25, 28, 57, 60)(26, 27, 58, 
        59)(29, 64, 61 32)(30, 63, 62, 31)
    (1 2, 33, 34)(3, 5, 35, 37)(4, 41 36, 9)(6, 13, 38, 45)(7, 10, 39, 42)(8, 
        57, 40, 25)(11 27, 43, 59)(12, 48, 44, 16)(14, 64, 46, 32)(15, 56, 47, 
        24)(17, 51 49, 19)(18, 61 50, 29)(20, 54, 52, 22)(21 55, 53, 23)(26, 
        62, 58, 30)(28, 63, 60, 31)
    (2, 3)(5, 6)(7, 40)(8, 39)(9, 10)(11 44)(12, 43)(13, 14)(15, 48)(16, 
        47)(17, 50)(18, 49)(19, 20)(22, 23)(25, 58)(26, 57)(27, 60)(28, 59)(29, 
        61)(30, 62)(31 63)(32, 64)(34, 35)(37, 38)(41 42)(45, 46)(51 52)(54, 
        55)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 188>
<32, 9> <64, 43>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 - 1 1 - 1 - - - 1 1 - - - 1 1 1 1 - - 1 - - - - 1 1 - - 1 ]
[ 1 1 - 1 1 1 1 - - - 1 - - 1 - - 1 1 1 1 - - - 1 - - 1 - - 1 1 - ]
[ 1 1 1 1 - - 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - - - - - ]
[ 1 - - 1 - 1 - - 1 1 - 1 1 1 1 1 1 - 1 1 - - 1 - 1 - - - - 1 - - ]
[ 1 - - 1 - 1 1 1 - - - 1 - - - - 1 - - - 1 1 1 - 1 - 1 1 - 1 1 1 ]
[ 1 - 1 1 1 1 - 1 - - 1 - 1 1 1 - - 1 - - 1 - - - 1 1 - 1 - 1 - - ]
[ 1 - - - - - - 1 1 1 1 - - - 1 - - 1 1 1 1 - 1 1 - - - 1 - 1 1 1 ]
[ 1 - 1 - 1 1 1 1 1 1 - - 1 - - 1 - 1 - - - 1 1 1 - - 1 - - 1 - - ]
[ 1 - 1 - - - - - - - 1 1 1 - - 1 - 1 1 1 - 1 - - 1 1 1 - - 1 1 1 ]
[ 1 - - - 1 - 1 - - - - - - 1 1 1 1 1 - 1 1 1 1 - - 1 - - 1 1 - 1 ]
[ 1 - 1 1 1 - 1 - 1 1 1 1 - 1 - - - - - 1 - - 1 - - 1 1 1 - - - 1 ]
[ 1 1 - 1 1 - - - 1 - - - 1 - - - - - - 1 - 1 1 1 1 1 - 1 1 1 1 - ]
[ 1 1 1 - - 1 - - - 1 - - - 1 - - - - 1 - 1 - 1 1 1 1 1 - 1 1 - 1 ]
[ 1 1 1 1 - 1 1 - 1 - 1 - - - 1 1 - - 1 - - 1 - - - - - 1 1 1 - 1 ]
[ 1 1 1 1 1 - - 1 - 1 - 1 - - 1 1 - - - 1 1 - - - - - 1 - 1 1 1 - ]
[ 1 1 - 1 - - 1 1 - 1 1 - 1 1 - 1 - 1 - - - - 1 - 1 - - - 1 - 1 1 ]
[ 1 1 1 - - - 1 1 1 - - 1 1 1 1 - 1 - - - - - - 1 - 1 - - - 1 1 1 ]
[ 1 1 - - 1 1 - 1 1 - 1 1 - 1 - 1 - - 1 - 1 1 1 - - 1 - - - - 1 - ]
[ 1 1 - - 1 1 1 - - 1 1 1 1 - 1 - - - - 1 1 1 - 1 1 - - - - - - 1 ]
[ 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 - - - - 1 1 1 1 - - - - - - 1 1 1 1 - - 1 1 ]
[ 1 1 1 - - - - 1 - - 1 - - 1 1 1 1 - - 1 - 1 1 1 1 - 1 1 - - - - ]
[ 1 1 - 1 - - 1 - - - - 1 1 - 1 1 - 1 1 - 1 - 1 1 - 1 1 1 - - - - ]
[ 1 - - - - 1 1 1 - 1 - - 1 1 1 - - - 1 1 - 1 - - - 1 1 1 1 - 1 - ]
[ 1 - 1 1 - 1 - - - 1 1 1 - - 1 - 1 1 - - - 1 1 1 - 1 - - 1 - 1 - ]
[ 1 - - - 1 - 1 1 - 1 1 1 - - - 1 1 - 1 - - - - 1 1 1 - 1 1 1 - - ]
[ 1 - 1 1 1 - - - - 1 - - 1 1 - 1 1 - 1 - 1 1 - 1 - - - 1 - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 49, 26, 40, 63, 7, 25, 50, 33, 17, 58, 8, 31 39, 57, 18)(2, 52, 53, 19,
        3, 16, 64, 15, 34, 20, 21 51 35, 48, 32, 47)(4, 14, 60, 44, 62, 11,
     59, 13, 36, 46, 28, 12, 30, 43, 27, 45)(5, 23, 10, 22, 9, 24, 6, 29, 37,
        55, 42, 54, 41 56, 38, 61)
    (1 2, 33, 34)(3, 63, 35, 31)(4, 55, 36, 23)(5, 19, 37, 51)(6, 48, 38, 
        16)(7, 14, 39, 46)(8, 12, 40, 44)(9, 47, 41 15)(10, 52, 42, 20)(11 17,
        43, 49)(13, 50, 45, 18)(21 57, 53, 25)(22, 27, 54, 59)(24, 30, 56, 
        62)(26, 32, 58, 64)(28, 61 60, 29)
    (2, 3)(5, 38)(6, 37)(7, 40)(8, 39)(9, 42)(10, 41)(11 44)(12, 43)(13, 
        14)(15, 16)(17, 18)(19, 20)(23, 24)(25, 58)(26, 57)(27, 60)(28, 59)(29, 
        61)(30, 62)(31 63)(32, 64)(34, 35)(45, 46)(47, 48)(49, 50)(51 52)(55, 
        56)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 9> <64, 43>
<32, 39> <64, 188>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - 1 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 - - 1 1 - - - - 1 1 - - 1 1 ]
[ 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - ]
[ 1 1 1 - - 1 1 1 1 1 1 1 - 1 1 - - - 1 - - 1 - - - 1 1 - - - - - ]
[ 1 1 - 1 1 - 1 1 1 1 1 1 1 - - 1 - - - 1 1 - - - 1 - - 1 - - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - - - - - - - 1 1 - - ]
[ 1 1 1 - 1 - - - 1 - 1 1 - 1 - - 1 1 - 1 1 - 1 1 - 1 - - - - - 1 ]
[ 1 1 - 1 - 1 - - - 1 1 1 1 - - - 1 1 1 - - 1 1 1 1 - - - - - 1 - ]
[ 1 - 1 1 - - - 1 - 1 1 1 1 - - - 1 - - - - - 1 - - 1 1 1 1 1 - 1 ]
[ 1 - - - 1 1 - 1 - 1 - - 1 - 1 1 1 - 1 1 1 1 1 - - 1 - - - - - 1 ]
[ 1 - 1 1 - - - 1 - - 1 - 1 1 1 - - 1 1 1 1 1 - 1 - - - 1 1 - - - ]
[ 1 - - - 1 1 - 1 1 1 1 - - - 1 - - 1 - - - - - 1 1 1 - 1 1 - 1 1 ]
[ 1 1 - 1 - 1 - - - - 1 - 1 1 1 - - - - 1 1 - - - 1 1 1 - - 1 1 1 ]
[ 1 1 1 - 1 - - - - - - 1 1 1 - 1 - - 1 - - 1 - - 1 1 - 1 1 - 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 - 1 - - - 1 - 1 1 - 1 1 - - - 1 1 - 1 1 1 - - - 1 ]
[ 1 1 1 - - - - 1 - 1 - - - 1 1 1 1 - - 1 - - 1 1 1 - 1 1 - - 1 - ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - - - 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 - - - 1 - 1 1 - - 1 - 1 1 - 1 1 1 - - - 1 - 1 1 1 1 - - 1 - - ]
[ 1 - 1 1 1 - - - 1 1 1 - - - - 1 - - 1 1 - 1 - 1 - - 1 - - 1 1 1 ]
[ 1 - - - 1 1 - 1 1 - - 1 1 1 - - - 1 1 1 - - 1 - - - 1 1 - 1 1 - ]
[ 1 - 1 1 - - - 1 1 - - 1 - - 1 1 - 1 - - 1 1 1 - 1 1 - - - 1 1 - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 1 - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - ]
[ 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
Permutation group acting on a set of cardinality 64
Order = 256 = 2^8
    (1 37, 33, 5)(2, 47, 34, 15)(3, 8, 35, 40)(4, 22, 36, 54)(6, 31 38, 63)(7,
        19, 39, 51)(9, 64, 41 32)(10, 16, 42, 48)(11 30, 43, 62)(12, 49, 44, 
        17)(13, 61 45, 29)(14, 26, 46, 58)(18, 57, 50, 25)(20, 56, 52, 24)(21,
     59, 53, 27)(23, 28, 55, 60)
    (1 2, 33, 34)(3, 36, 35, 4)(5, 14, 37, 46)(6, 15, 38, 47)(7, 17, 39, 49)(8,
        21 40, 53)(9, 54, 41 22)(10, 55, 42, 23)(11 56, 43, 24)(12, 50, 44, 
        18)(13, 19, 45, 51)(16, 20, 48, 52)(25, 29, 57, 61)(26, 31 58, 63)(27, 
        32, 59, 64)(28, 30, 60, 62)
    (2, 3)(4, 39)(5, 6)(7, 36)(8, 46)(9, 47)(10, 13)(11 12)(14, 40)(15, 41)(16,
        17)(18, 54)(19, 21)(20, 52)(22, 50)(23, 24)(25, 59)(26, 64)(27, 57)(29, 
        62)(30, 61)(31 63)(32, 58)(34, 35)(37, 38)(42, 45)(43, 44)(48, 49)(51,
     53)(55, 56)
    (5, 6)(8, 9)(10, 43)(11 42)(12, 45)(13, 44)(14, 15)(18, 19)(21 54)(22, 
        53)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(37, 38)(40, 41)(46, 47)(50, 51)
Automorphism group has centre of order: 2
Number of regular subgroups: 6
Number of regular subgroups containing zeta: 6
Number of centrally regular subgroups: 6
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 3> <64, 26>
<32, 12> <64, 45>
<32, 9> <64, 43>
<32, 39> <64, 188>
<32, 14> <64, 49>
<32, 9> <64, 43>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 - - 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - 1 - 1 1 1 - - - - - - 1 - - 1 - 1 - - 1 - 1 - 1 1 - 1 1 1 ]
[ 1 - 1 - 1 1 1 1 - - - - - 1 - - 1 - 1 - - 1 - - 1 1 - 1 1 - 1 1 ]
[ 1 - - - - 1 - - 1 1 1 1 - 1 1 - 1 1 1 1 - 1 1 - 1 - - 1 - - - - ]
[ 1 1 1 1 1 1 1 1 - 1 1 - 1 - - - 1 1 - - - 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 1 - - 1 - 1 1 1 - - 1 1 1 - - - - - - - - - - - ]
[ 1 1 - 1 - 1 - - - - - - 1 1 - 1 1 - 1 - 1 1 - 1 1 - 1 1 - 1 - - ]
[ 1 - 1 - 1 1 - - - - - - 1 - 1 1 - 1 - 1 1 - 1 1 1 1 - 1 1 - - - ]
[ 1 - - - - 1 1 1 1 1 1 1 1 - - 1 - - - - 1 - - 1 1 - - 1 - - 1 1 ]
[ 1 - 1 - 1 1 - - - 1 1 - 1 1 1 - - - 1 1 - - - 1 - - 1 - - 1 1 1 ]
[ 1 1 - 1 - 1 - - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - - 1 - 1 1 ]
[ 1 - - - - 1 1 1 1 - - 1 1 1 - - - 1 1 - - - 1 1 - 1 1 - 1 1 - - ]
[ 1 1 - 1 - 1 - - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 - 1 1 ]
[ 1 - 1 - 1 1 - - 1 - - 1 - - - 1 1 1 - - 1 1 1 - - - 1 - - 1 1 1 ]
[ 1 - - - - 1 1 1 - 1 1 - - - 1 1 1 - - 1 1 1 - - - 1 1 - 1 1 - - ]
[ 1 1 1 - - - 1 - 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 1 - - - 1 - ]
[ 1 - - 1 1 - 1 - - - 1 1 - 1 1 - 1 1 - - 1 - - 1 - 1 1 1 - - - 1 ]
[ 1 1 - - 1 - - 1 - - 1 1 1 1 - 1 1 - - 1 - - 1 - 1 - 1 - 1 - - 1 ]
[ 1 - 1 1 - - - 1 1 1 - - - 1 - - 1 - - 1 1 - 1 1 - - 1 1 1 - 1 - ]
[ 1 1 - - 1 - 1 - - 1 - 1 - - - 1 - 1 1 1 - 1 - 1 - - 1 1 1 - 1 - ]
[ 1 1 1 - - - 1 - - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 1 - - - 1 1 1 - ]
[ 1 - 1 1 - - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 1 - - 1 - 1 - 1 - - 1 ]
[ 1 1 1 - - - - 1 - - 1 1 1 1 - - - 1 - 1 1 1 - - - 1 - 1 - 1 1 - ]
[ 1 - 1 1 - - 1 - - 1 - 1 - 1 - 1 - - - 1 - 1 1 1 1 1 - - - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 1 1 - 1 - - - 1 - 1 1 - - - 1 1 1 - ]
[ 1 1 - - 1 - - 1 1 1 - - - - - - 1 1 1 1 1 - - 1 1 1 - - - 1 - 1 ]
[ 1 1 1 - - - - 1 1 - 1 - - - 1 1 - - 1 - - 1 1 1 - 1 1 1 - - - 1 ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - 1 1 1 - 1 - - - 1 - - 1 - 1 - 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - 1 - 1 - - - - - 1 1 1 1 1 - 1 1 1 - - - 1 - ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 - - 1 1 1 1 1 - - - - - - - 1 1 1 - 1 ]
[ 1 1 - - 1 - 1 - 1 1 - - 1 1 1 - - - - - 1 1 1 - - - - 1 1 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 1024 = 2^10
    (1 58)(2, 59)(3, 54)(4, 20)(5, 18)(6, 17)(7, 23)(8, 57)(9, 28)(10, 21)(11,
     61)(12, 30)(13, 63)(14, 19)(15, 64)(16, 56)(22, 35)(24, 48)(25, 40)(26, 
        33)(27, 34)(29, 43)(31 45)(32, 47)(36, 52)(37, 50)(38, 49)(39, 55)(41,
     60)(42, 53)(44, 62)(46, 51)
    (1 6, 41 7, 33, 38, 9, 39)(2, 48, 5, 43, 34, 16, 37, 11)(3, 15, 4, 13, 35,
        47, 36, 45)(8, 46, 42, 44, 40, 14, 10, 12)(17, 29, 23, 56, 49, 61 55, 
        24)(18, 57, 27, 53, 50, 25, 59, 21)(19, 63, 30, 32, 51 31 62, 64)(20, 
        26, 22, 28, 52, 58, 54, 60)
    (2, 4)(3, 37)(5, 35)(8, 40)(10, 42)(11 15)(12, 44)(13, 48)(14, 46)(16, 
        45)(17, 20)(18, 51)(19, 50)(21 64)(22, 23)(24, 28)(25, 31)(26, 61)(27, 
        62)(29, 58)(30, 59)(32, 53)(34, 36)(43, 47)(49, 52)(54, 55)(56, 60)(57, 
        63)
    (2, 3)(4, 37)(5, 36)(6, 7)(9, 41)(10, 42)(11 47)(12, 14)(13, 48)(15, 
        43)(16, 45)(17, 52, 49, 20)(18, 19, 50, 51)(21 63, 53, 31)(22, 55, 54, 
        23)(24, 58, 56, 26)(25, 32, 57, 64)(27, 62, 59, 30)(28, 61 60, 29)(34, 
        35)(38, 39)(44, 46)
    (17, 51)(18, 52)(19, 49)(20, 50)(21 60)(22, 59)(23, 62)(24, 64)(25, 58)(26,
        57)(27, 54)(28, 53)(29, 63)(30, 55)(31 61)(32, 56)
    (17, 19)(18, 20)(21 28)(22, 27)(23, 30)(24, 32)(25, 26)(29, 31)(49, 51)(50,
        52)(53, 60)(54, 59)(55, 62)(56, 64)(57, 58)(61 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 20
Number of regular subgroups containing zeta: 20
Number of centrally regular subgroups: 20
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 187>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 187>
<32, 9> <64, 42>
<32, 39> <64, 188>
<32, 39> <64, 187>
<32, 36> <64, 185>
<32, 36> <64, 185>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 9> <64, 43>
<32, 13> <64, 46>
<32, 5> <64, 31>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 191>
<32, 39> <64, 191>

[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - - - 1 1 1 1 - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 - - - - - - 1 1 - - - - 1 1 - - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - ]
[ 1 1 - - 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 1 1 - - - - - - 1 1 - - - - 1 1 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 - - - - 1 1 ]
[ 1 1 - - 1 1 - - - - - - 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 1 - - 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 1 1 - - - - - - 1 1 ]
[ 1 1 - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - 1 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - ]
[ 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 256 = 2^8
    (1 59, 37, 50, 33, 27, 5, 18)(2, 57, 8, 62, 34, 25, 40, 30)(3, 23, 4, 20, 
        35, 55, 36, 52)(6, 21 39, 32, 38, 53, 7, 64)(9, 26, 46, 61 41 58, 14,
        29)(10, 54, 47, 17, 42, 22, 15, 49)(11 28, 16, 51 43, 60, 48, 19)(12, 
        56, 13, 31 44, 24, 45, 63)
    (1 17, 33, 49)(2, 19, 34, 51)(3, 63, 35, 31)(4, 24, 36, 56)(5, 22, 37, 
        54)(6, 61 38, 29)(7, 58, 39, 26)(8, 60, 40, 28)(9, 32, 41 64)(10, 50, 
        42, 18)(11 30, 43, 62)(12, 52, 44, 20)(13, 55, 45, 23)(14, 53, 46, 
        21)(15, 27, 47, 59)(16, 25, 48, 57)
    (1 3, 37, 4, 33, 35, 5, 36)(2, 7, 8, 6, 34, 39, 40, 38)(9, 48, 46, 11 41,
     16, 14, 43)(10, 13, 47, 44, 42, 45, 15, 12)(17, 24, 22, 63, 49, 56, 54, 
        31)(18, 52, 59, 23, 50, 20, 27, 55)(19, 61 28, 58, 51 29, 60, 26)(21,
     25, 32, 30, 53, 57, 64, 62)
    (1 2, 33, 34)(3, 38, 35, 6)(4, 39, 36, 7)(5, 8, 37, 40)(9, 47, 41 15)(10, 
        14, 42, 46)(11 12, 43, 44)(13, 16, 45, 48)(17, 51 49, 19)(18, 53, 50, 
        21)(20, 62, 52, 30)(22, 28, 54, 60)(23, 25, 55, 57)(24, 58, 56, 26)(27, 
        64, 59, 32)(29, 63, 61 31)
    (9, 41)(10, 42)(11 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 48)(17, 22, 49, 
        54)(18, 27, 50, 59)(19, 28, 51 60)(20, 23, 52, 55)(21 64, 53, 32)(24, 
        63, 56, 31)(25, 62, 57, 30)(26, 61 58, 29)
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26,
        58)(27, 59)(28, 60)(29, 61)(30, 62)(31 63)(32, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 188>
<32, 39> <64, 191>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 - - 1 1 1 1 1 1 1 1 - - - - - - - - - - 1 1 - - - - ]
[ 1 1 1 1 - - 1 1 1 1 - - - - - - - - - - - - 1 1 - - 1 1 1 1 1 1 ]
[ 1 - 1 - - - 1 1 - - 1 1 1 1 1 - - - - 1 - 1 1 1 - 1 1 - - 1 - - ]
[ 1 - 1 - 1 1 - - 1 1 - - - - 1 - 1 1 - 1 - 1 - - - 1 1 - - 1 1 1 ]
[ 1 - - 1 1 - 1 1 1 - 1 1 - 1 - - 1 - - - - 1 - - 1 1 - 1 - - 1 1 ]
[ 1 - - 1 1 - - - 1 - - - - 1 1 1 1 - 1 1 - 1 1 1 - - - 1 1 1 - - ]
[ 1 - 1 - - 1 - 1 1 - 1 1 - 1 - 1 - - 1 1 1 - - - - - - - 1 1 1 1 ]
[ 1 - 1 - - 1 - 1 1 - - - - 1 - 1 1 1 - - 1 - 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 - 1 1 - 1 - - - 1 - - 1 - - 1 1 - 1 1 - 1 1 - - - - - 1 ]
[ 1 1 1 1 1 - - 1 - 1 - - - 1 1 - - - 1 1 1 - - 1 1 1 - - - - 1 - ]
[ 1 - - 1 1 1 1 - 1 1 1 1 - - - - - 1 - 1 1 - 1 1 1 - - - - 1 - - ]
[ 1 - - 1 - - 1 - - - - - 1 1 1 1 - 1 - 1 1 - - - 1 - 1 1 - 1 1 1 ]
[ 1 1 1 1 - - - - - - 1 1 - - 1 - 1 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 1 1 1 - - - - - - 1 1 - - - 1 1 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 - - ]
[ 1 1 - - 1 - 1 1 1 - - 1 - - 1 1 - 1 1 - 1 1 - 1 - - 1 - - - - 1 ]
[ 1 1 - - - 1 1 1 - 1 1 - - - 1 1 1 - - 1 1 1 1 - - - - 1 - - 1 - ]
[ 1 - - 1 - 1 1 1 - 1 - 1 - - 1 1 1 - 1 - - - - - 1 1 1 - 1 1 - - ]
[ 1 - - 1 - 1 - - - 1 - 1 1 1 - - 1 - 1 - 1 1 1 1 - - 1 - - - 1 1 ]
[ 1 1 - - - - 1 - 1 1 1 - 1 1 - 1 1 1 1 - - - - 1 - 1 - - - 1 1 - ]
[ 1 1 - - - - - 1 1 1 - 1 1 1 1 - 1 1 - 1 - - 1 - 1 - - - 1 - - 1 ]
[ 1 - - 1 1 1 - 1 - - 1 - 1 - 1 1 - 1 - - - - 1 1 - 1 - - 1 - 1 1 ]
[ 1 - - 1 - - - 1 1 1 1 - 1 - - - - 1 1 1 1 1 - - - 1 1 1 1 - - - ]
[ 1 1 - - 1 1 - 1 - - 1 - 1 - - - 1 - 1 1 - - - 1 1 - 1 1 - 1 - 1 ]
[ 1 1 - - 1 1 1 - - - - 1 - 1 - - - 1 1 1 - - 1 - - 1 1 1 1 - 1 - ]
[ 1 1 - - - 1 - - 1 - - 1 1 - 1 - - - - - 1 1 - 1 1 1 - 1 1 1 1 - ]
[ 1 1 - - 1 - - - - 1 1 - - 1 - 1 - - - - 1 1 1 - 1 1 1 - 1 1 - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 55, 33, 23)(2, 40, 34, 8)(3, 50, 35, 18)(4, 54, 36, 22)(5, 63, 37, 
        31)(6, 9, 38, 41)(7, 19, 39, 51)(10, 28, 42, 60)(11 29, 43, 61)(12, 25,
        44, 57)(13, 46, 45, 14)(15, 48, 47, 16)(17, 59, 49, 27)(20, 64, 52, 
        32)(21 24, 53, 56)(26, 62, 58, 30)
    (1 3)(2, 16)(4, 9)(5, 8)(6, 13)(7, 12)(10, 14)(11 15)(17, 25)(18, 26)(19, 
        24)(20, 23)(21 27)(22, 28)(29, 31)(30, 32)(33, 35)(34, 48)(36, 41)(37, 
        40)(38, 45)(39, 44)(42, 46)(43, 47)(49, 57)(50, 58)(51 56)(52, 55)(53, 
        59)(54, 60)(61 63)(62, 64)
    (4, 37)(5, 36)(6, 39)(7, 38)(8, 41)(9, 40)(10, 11)(12, 45)(13, 44)(14, 
        15)(17, 18)(19, 52)(20, 51)(21 22)(23, 56)(24, 55)(25, 26)(27, 28)(29, 
        61)(30, 62)(31 63)(32, 64)(42, 43)(46, 47)(49, 50)(53, 54)(57, 58)(59, 
        60)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 191>
<32, 9> <64, 41>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 - 1 - 1 1 - - - - 1 - 1 - - - - - 1 - 1 - 1 1 1 - 1 - 1 1 ]
[ 1 1 - 1 - 1 1 1 - - - - - 1 - 1 - - - - - 1 - 1 1 1 - 1 - 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - - - 1 1 1 1 - - ]
[ 1 1 - 1 1 - - - - - 1 1 1 - - 1 - - 1 1 1 - - 1 1 1 - 1 1 - - - ]
[ 1 1 1 - - 1 - - - - 1 1 - 1 1 - - - 1 1 - 1 1 - 1 1 1 - - 1 - - ]
[ 1 1 - 1 1 - - - - - 1 1 - 1 1 - 1 1 - - 1 - - 1 - - 1 - - 1 1 1 ]
[ 1 1 1 - - 1 - - - - 1 1 1 - - 1 1 1 - - - 1 1 - - - - 1 1 - 1 1 ]
[ 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 ]
[ 1 1 1 - 1 - - - 1 1 - - - 1 - 1 - - 1 1 1 - 1 - - - - 1 - 1 1 1 ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 - 1 - 1 - - - 1 1 1 - 1 - - - 1 1 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 1 - - 1 - 1 1 1 - - - 1 - 1 1 1 - - 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 - 1 - 1 1 - - - 1 1 1 - - 1 1 1 - - - 1 1 1 - - 1 - ]
[ 1 - 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 1 - 1 1 - - 1 - ]
[ 1 - 1 1 - - - 1 - 1 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 - - 1 1 1 - ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 - 1 - - - 1 1 - 1 1 1 - - - 1 ]
[ 1 - 1 1 - - 1 - - 1 - 1 - - 1 1 1 - 1 - 1 1 - - - 1 - - 1 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 688128 = 2^15 * 3 * 7
    (16, 49)(17, 48)(18, 60)(19, 61)(20, 53)(21 52)(22, 55)(23, 54)(24, 57)(25,
        56)(26, 59)(27, 58)(28, 50)(29, 51)(31 64)(32, 63)
    (4, 37)(5, 36)(6, 7)(10, 42)(11 43)(12, 44)(13, 45)(14, 46)(15, 47)(16, 
        49)(17, 48)(18, 60)(20, 52)(21 53)(22, 23)(24, 25)(26, 27)(28, 50)(31,
     64)(32, 63)(38, 39)(54, 55)(56, 57)(58, 59)
    (1 2)(3, 5)(4, 9)(6, 14, 7, 15)(8, 30)(10, 13, 11 12)(16, 19)(17, 29)(18, 
        31)(20, 27, 21 26)(22, 24, 23, 25)(28, 32)(33, 34)(35, 37)(36, 41)(38, 
        46, 39, 47)(40, 62)(42, 45, 43, 44)(48, 51)(49, 61)(50, 63)(52, 59, 53, 
        58)(54, 56, 55, 57)(60, 64)
    (2, 3, 19)(4, 18, 17)(5, 28, 16)(6, 22, 27)(7, 23, 26)(8, 9, 29)(12, 15, 
        21)(13, 14, 20)(34, 35, 51)(36, 50, 49)(37, 60, 48)(38, 54, 59)(39, 55, 
        58)(40, 41 61)(44, 47, 53)(45, 46, 52)
    (3, 19, 47, 13, 57, 52)(4, 27, 23, 11 39, 49)(5, 58, 22, 42, 38, 16)(6, 48,
        37, 26, 54, 10)(7, 17, 36, 59, 55, 43)(8, 40)(9, 61 46, 44, 56, 21)(12,
        24, 53, 41 29, 14)(15, 45, 25, 20, 35, 51)(18, 50)(30, 62)(31 63)
    (10, 11)(12, 13)(16, 48)(17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 55)(23,
        54)(24, 57)(25, 56)(26, 58)(27, 59)(28, 60)(29, 61)(31 63)(32, 64)(42, 
        43)(44, 45)
    (6, 7)(10, 11)(12, 13)(14, 15)(20, 21)(22, 23)(24, 25)(26, 27)(38, 39)(42, 
        43)(44, 45)(46, 47)(52, 53)(54, 55)(56, 57)(58, 59)
Automorphism group has centre of order: 2
Number of regular subgroups: 18
Number of regular subgroups containing zeta: 18
Number of centrally regular subgroups: 18
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 191>
<32, 39> <64, 190>
<32, 39> <64, 187>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 187>
<32, 36> <64, 185>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 9> <64, 41>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 189>
<32, 39> <64, 191>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 191>
<32, 39> <64, 188>
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - ]
[ 1 1 1 - - 1 - - 1 1 1 1 - 1 1 - - - 1 - 1 1 - - - 1 1 - - 1 - - ]
[ 1 - 1 1 - - 1 - 1 1 1 1 - - - 1 1 - 1 - - - 1 1 - - 1 1 - - 1 - ]
[ 1 1 - - 1 - 1 - 1 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 - 1 - ]
[ 1 - - 1 1 1 - - 1 1 1 - 1 1 - 1 - - - 1 1 - 1 - - - - 1 1 1 - - ]
[ 1 - 1 1 - - 1 - 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 - 1 1 - - 1 - ]
[ 1 1 - - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 1 - - 1 - 1 - ]
[ 1 - - 1 1 1 - - 1 - - 1 - - 1 - 1 1 1 - - 1 - 1 1 - - 1 1 1 - - ]
[ 1 1 1 - - 1 - - 1 - - - 1 - - 1 1 1 - 1 - - 1 1 1 1 1 - - 1 - - ]
[ 1 - 1 1 - - 1 - - 1 - - 1 1 1 - - 1 1 - - - 1 1 - 1 - - 1 1 - 1 ]
[ 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - 1 - 1 ]
[ 1 - - 1 1 1 - - - 1 - 1 - - 1 - 1 1 - 1 1 - 1 - - 1 1 - - - 1 1 ]
[ 1 1 1 - - 1 - - - 1 - - 1 - - 1 1 1 1 - 1 1 - - - - - 1 1 - 1 1 ]
[ 1 - 1 1 - - 1 - - - 1 1 - - - 1 1 - - 1 1 1 - - 1 1 - - 1 1 - 1 ]
[ 1 1 - - 1 - 1 - - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 ]
[ 1 - - 1 1 1 - - - - 1 - 1 1 - 1 - - 1 - - 1 - 1 1 1 1 - - - 1 1 ]
[ 1 1 1 - - 1 - - - - 1 1 - 1 1 - - - - 1 - - 1 1 1 - - 1 1 - 1 1 ]
[ 1 - 1 - 1 - - 1 1 1 - 1 1 - 1 1 - - - - 1 - - 1 1 - 1 - 1 - - 1 ]
[ 1 1 - 1 - - - 1 1 1 - 1 1 1 - - 1 - - - - 1 1 - 1 1 - 1 - - - 1 ]
[ 1 - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 1 - - - - 1 - - - - 1 1 1 ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - 1 1 1 1 - - - - - 1 1 1 ]
[ 1 1 - 1 - - - 1 1 - 1 - - - 1 1 - 1 1 1 1 - - 1 - 1 - 1 - - - 1 ]
[ 1 - 1 - 1 - - 1 1 - 1 - - 1 - - 1 1 1 1 - 1 1 - - - 1 - 1 - - 1 ]
[ 1 - - - - 1 1 1 - 1 - - - 1 1 1 1 - 1 1 - - - - 1 1 1 1 1 - - - ]
[ 1 1 - 1 - - - 1 - 1 1 - - - 1 1 - 1 - - - 1 1 - 1 - 1 - 1 1 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - - 1 1 - - 1 - - 1 1 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 - - - 1 1 - 1 1 - - 1 1 - 1 1 - - 1 - 1 - 1 1 - ]
[ 1 1 - 1 - - - 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 - - 1 - 1 1 1 - ]
[ 1 - - - - 1 1 1 - - 1 1 1 - - - - 1 - - 1 1 1 1 - 1 1 1 1 - - - ]
Permutation group acting on a set of cardinality 64
Order = 1048576 = 2^20
    (1 6)(2, 9)(3, 13)(4, 17)(5, 26)(7, 32)(8, 28)(10, 27)(11 31)(12, 21)(14, 
        24)(15, 22)(16, 30)(18, 23)(19, 25)(20, 29)(33, 38)(34, 41)(35, 45)(36, 
        49)(37, 58)(39, 64)(40, 60)(42, 59)(43, 63)(44, 53)(46, 56)(47, 54)(48, 
        62)(50, 55)(51 57)(52, 61)
    (2, 34)(4, 36)(5, 12, 37, 44)(6, 9, 38, 41)(7, 14)(8, 15)(10, 50)(11,
     51)(13, 17, 45, 49)(16, 20, 48, 52)(18, 42)(19, 43)(21 23, 26, 56)(22, 
        25, 54, 57)(24, 53, 55, 58)(27, 30, 64, 29)(28, 31 60, 63)(32, 61 59, 
        62)(39, 46)(40, 47)
    (3, 35)(4, 36)(5, 20, 37, 52)(6, 41)(7, 46, 39, 14)(9, 38)(10, 50, 42, 
        18)(12, 16, 44, 48)(13, 17)(15, 47)(19, 51)(21 62, 53, 30)(22, 54)(23, 
        32, 55, 64)(24, 27, 56, 59)(25, 57)(26, 61 58, 29)(45, 49)
    (7, 42)(8, 43)(10, 39)(11 40)(14, 50)(15, 51)(18, 46)(19, 47)(22, 57)(23, 
        56)(24, 55)(25, 54)(27, 64)(28, 63)(31 60)(32, 59)
    (6, 49)(8, 51)(9, 45)(11 47)(13, 41)(15, 43)(17, 38)(19, 40)(21 62)(23, 
        64)(24, 59)(26, 61)(27, 56)(29, 58)(30, 53)(32, 55)
    (3, 4)(13, 17)(14, 18)(15, 19)(16, 20)(21 26)(22, 25)(27, 32)(35, 36)(45, 
        49)(46, 50)(47, 51)(48, 52)(53, 58)(54, 57)(59, 64)
    (5, 6)(7, 11)(8, 10)(9, 12)(13, 16)(14, 19)(15, 18)(17, 20)(21 26)(22, 
        25)(28, 31)(29, 30)(37, 38)(39, 43)(40, 42)(41 44)(45, 48)(46, 51)(47, 
        50)(49, 52)(53, 58)(54, 57)(60, 63)(61 62)
    (6, 15, 17, 11)(7, 18)(8, 9, 19, 13)(10, 14)(21 32, 30, 23)(22, 31)(24, 26,
        27, 29)(25, 28)(38, 47, 49, 43)(39, 50)(40, 41 51 45)(42, 46)(53, 64, 
        62, 55)(54, 63)(56, 58, 59, 61)(57, 60)
    (7, 10)(8, 11)(14, 18)(15, 19)(21 26)(22, 25)(28, 31)(29, 30)(39, 42)(40, 
        43)(46, 50)(47, 51)(53, 58)(54, 57)(60, 63)(61 62)
Automorphism group has centre of order: 2
Number of regular subgroups: 9
Number of regular subgroups containing zeta: 9
Number of centrally regular subgroups: 9
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 36> <64, 183>
<32, 36> <64, 184>
<32, 5> <64, 29>
<32, 5> <64, 29>
<32, 39> <64, 191>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 189>
<32, 39> <64, 189>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 ]
[ 1 1 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 - - ]
[ 1 1 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 ]
[ 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - - - 1 1 - - 1 1 - - ]
[ 1 1 1 1 1 1 1 1 1 1 - - 1 1 - - - - - - - - - - - - 1 1 - - 1 1 ]
[ 1 1 - - - - - - - - 1 1 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 - - 1 1 - - - - 1 1 ]
[ 1 1 - - 1 1 1 1 - - 1 1 1 1 1 1 - - 1 1 1 1 - - - - - - - - - - ]
[ 1 1 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - 1 1 1 1 ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - ]
[ 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - ]
[ 1 1 - - - - 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - 1 - - 1 - 1 1 - - 1 - 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 128 = 2^7
    (1 17, 33, 49)(2, 63, 34, 31)(3, 64, 35, 32)(4, 24, 36, 56)(5, 58, 37, 
        26)(6, 18, 38, 50)(7, 25, 39, 57)(8, 55, 40, 23)(9, 54, 41 22)(10, 62, 
        42, 30)(11 20, 43, 52)(12, 28, 44, 60)(13, 51 45, 19)(14, 27, 46, 
        59)(15, 29, 47, 61)(16, 53, 48, 21)
    (1 3, 41 14, 11 5, 42, 45, 33, 35, 9, 46, 43, 37, 10, 13)(2, 16, 7, 36, 
        8, 47, 44, 6, 34, 48, 39, 4, 40, 15, 12, 38)(17, 64, 22, 27, 20, 58, 30,
        19, 49, 32, 54, 59, 52, 26, 62, 51)(18, 31 21 57, 24, 23, 29, 28, 50, 
        63, 53, 25, 56, 55, 61 60)
    (1 2, 33, 34)(3, 38, 35, 6)(4, 37, 36, 5)(7, 42, 39, 10)(8, 11 40, 43)(9, 
        44, 41 12)(13, 16, 45, 48)(14, 15, 46, 47)(17, 63, 49, 31)(18, 64, 50, 
        32)(19, 21 51 53)(20, 23, 52, 55)(22, 28, 54, 60)(24, 26, 56, 58)(25, 
        30, 57, 62)(27, 29, 59, 61)
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26,
        58)(27, 59)(28, 60)(29, 61)(30, 62)(31 63)(32, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 4
Number of regular subgroups containing zeta: 4
Number of centrally regular subgroups: 4
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 191>
<32, 39> <64, 191>

[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 ]
[ 1 - 1 - - - - - 1 1 1 - 1 - 1 1 1 1 1 - - 1 1 1 - - 1 - - 1 - - ]
[ 1 - 1 - 1 1 1 1 - - 1 - 1 - - - - - 1 - - 1 - - 1 1 1 - - 1 1 1 ]
[ 1 1 1 1 - - 1 1 1 1 1 1 1 1 - - 1 1 - - - - - - - - - - - - 1 1 ]
[ 1 - 1 - 1 1 1 1 1 1 - 1 - 1 1 1 - - - 1 1 - - - - - 1 - - 1 - - ]
[ 1 - 1 - - - - - - - - 1 - 1 - - 1 1 - 1 1 - 1 1 1 1 1 - - 1 1 1 ]
[ 1 1 1 1 1 1 - - - - 1 1 1 1 1 1 - - - - - - 1 1 1 1 - - - - - - ]
[ 1 1 1 1 - - - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 - 1 - 1 1 - - - - 1 - 1 - 1 1 1 1 - 1 1 - - - - - - 1 1 - 1 1 ]
[ 1 - 1 - - - 1 1 1 1 1 - 1 - - - - - - 1 1 - 1 1 1 1 - 1 1 - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - - - 1 - - 1 1 1 - - - 1 1 - 1 1 ]
[ 1 - 1 - - - 1 1 - - - 1 - 1 1 1 1 1 1 - - 1 - - 1 1 - 1 1 - - - ]
[ 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - ]
[ 1 1 - - - 1 1 - - 1 - - 1 1 1 - - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 ]
[ 1 1 - - - 1 - 1 - 1 1 1 - - - 1 - 1 1 1 - - - 1 - 1 1 1 - - - 1 ]
[ 1 1 - - 1 - 1 - - 1 - - 1 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 ]
[ 1 1 - - 1 - 1 - - 1 1 1 - - - 1 - 1 - - 1 1 1 - - 1 - - 1 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 - - 1 1 - 1 - 1 1 1 - - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - - - 1 1 1 - 1 - 1 1 - - 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 1 - - 1 - - 1 - - 1 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 1 - - - 1 1 - - - 1 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 1 - - 1 - - 1 1 - - - 1 1 - 1 1 - 1 - 1 - - 1 - 1 1 - 1 - 1 - ]
[ 1 1 - - - 1 - 1 1 - 1 1 - - 1 - 1 - - - 1 1 - 1 1 - - - 1 1 - 1 ]
[ 1 1 - - - 1 - 1 1 - - - 1 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1024 = 2^10
    (1 17)(2, 24)(3, 26)(4, 29)(5, 30)(6, 18)(7, 31)(8, 25)(9, 22)(10, 21)(11,
     19)(12, 32)(13, 20)(14, 23)(15, 27)(16, 28)(33, 49)(34, 56)(35, 58)(36, 
        61)(37, 62)(38, 50)(39, 63)(40, 57)(41 54)(42, 53)(43, 51)(44, 64)(45, 
        52)(46, 55)(47, 59)(48, 60)
    (1 3, 33, 35)(2, 10, 34, 42)(4, 43, 36, 11)(5, 13, 37, 45)(6, 12, 38, 
        44)(7, 46, 39, 14)(8, 48, 40, 16)(9, 47, 41 15)(17, 26, 49, 58)(18, 32,
        50, 64)(19, 29, 51 61)(20, 62, 52, 30)(21 56, 53, 24)(22, 59, 54, 
        27)(23, 31 55, 63)(25, 60, 57, 28)
    (3, 4)(5, 38)(6, 37)(7, 10)(8, 41)(9, 40)(12, 44)(13, 45)(15, 47)(16, 
        48)(17, 24, 49, 56)(18, 22, 50, 54)(19, 23, 51 55)(20, 27, 52, 59)(21,
     29, 53, 61)(25, 62, 57, 30)(26, 63, 58, 31)(28, 64, 60, 32)(35, 36)(39, 
        42)
    (3, 37)(4, 6)(5, 35)(7, 8)(9, 42)(10, 41)(11 43)(12, 47)(13, 16)(14, 
        46)(15, 44)(17, 52)(18, 54)(19, 32)(20, 49)(21 53)(22, 50)(23, 60)(24, 
        27)(25, 30)(26, 58)(28, 55)(36, 38)(39, 40)(45, 48)(51 64)(56, 59)(57, 
        62)
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26,
        58)(27, 59)(28, 60)(29, 61)(30, 62)(31 63)(32, 64)
    (17, 19)(18, 30)(20, 32)(21 31)(22, 25)(23, 24)(26, 29)(27, 28)(49, 51)(50,
        62)(52, 64)(53, 63)(54, 57)(55, 56)(58, 61)(59, 60)
Automorphism group has centre of order: 2
Number of regular subgroups: 20
Number of regular subgroups containing zeta: 20
Number of centrally regular subgroups: 20
Expanded design is group developed 
<32, 39> <64, 187>
<32, 39> <64, 187>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 39> <64, 187>
<32, 39> <64, 188>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 9> <64, 42>
<32, 9> <64, 43>
<32, 36> <64, 185>
<32, 36> <64, 185>
<32, 13> <64, 46>
<32, 5> <64, 31>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 191>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 - 1 - 1 1 - - - - 1 - 1 - - - - - 1 - 1 - 1 1 1 - 1 - 1 1 ]
[ 1 1 - 1 - 1 1 1 - - - - - 1 - 1 - - - - - 1 - 1 1 1 - 1 - 1 1 1 ]
[ 1 - - - 1 1 - 1 1 1 - - 1 1 1 1 1 - - 1 - - - - - - 1 1 - - 1 1 ]
[ 1 - - - 1 1 - 1 - - 1 1 - - - - 1 - - 1 1 1 1 1 1 1 1 1 - - - - ]
[ 1 - - 1 1 - 1 - 1 1 1 1 1 - 1 - - - - - - 1 1 - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - - 1 1 - 1 1 1 1 - 1 - 1 - - - - 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 - - - - - - 1 - 1 1 1 1 1 - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 - - - - - 1 - 1 - 1 1 1 1 1 - - 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 1 - - - 1 - - 1 1 1 1 1 1 1 - - 1 - - - - 1 1 - - 1 1 - - ]
[ 1 - 1 1 - - - 1 1 1 - - - - - - 1 - - 1 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - 1 - 1 - - 1 1 1 - 1 - 1 1 - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 1 - 1 - 1 1 - - - 1 - 1 - - 1 1 - - - - - - - - ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 1 1 - - 1 - - - - 1 1 - 1 1 - 1 1 - - - 1 1 - - - 1 - - 1 1 1 ]
[ 1 1 - 1 1 - - - - - 1 1 1 - - 1 1 1 - - 1 - - 1 - - - 1 1 - 1 1 ]
[ 1 1 - 1 - 1 - - - 1 1 - - 1 1 - - - 1 1 1 - 1 - - 1 - 1 1 - 1 - ]
[ 1 1 1 - 1 - - - - 1 1 - 1 - - 1 - - 1 1 - 1 - 1 - 1 1 - - 1 1 - ]
[ 1 1 1 - 1 - - - 1 - - 1 - 1 1 - - - 1 1 - 1 - 1 1 - - 1 1 - - 1 ]
[ 1 1 - 1 - 1 - - 1 - - 1 1 - - 1 - - 1 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 1 - - - - 1 1 1 - 1 - - - 1 1 - 1 - 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - 1 - 1 1 1 - - 1 - 1 - - - 1 1 - - 1 1 1 1 - - ]
[ 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 - 1 - 1 - - - 1 1 1 - 1 - - - 1 1 1 - - - 1 1 1 - ]
[ 1 - - - 1 1 - 1 1 - - 1 1 1 - - - 1 1 - 1 1 - - - 1 - - 1 1 1 - ]
[ 1 - 1 1 - - - 1 1 - - 1 - - 1 1 - 1 1 - - - 1 1 - 1 1 1 - - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1024 = 2^10
    (1 6, 30, 10, 57, 7, 17, 8, 33, 38, 62, 42, 25, 39, 49, 40)(2, 21 36, 14, 
        28, 51 64, 47, 34, 53, 4, 46, 60, 19, 32, 15)(3, 54, 37, 56, 27, 20, 
        63, 23, 35, 22, 5, 24, 59, 52, 31 55)(9, 16, 45, 29, 43, 58, 44, 18, 
        41 48, 13, 61 11 26, 12, 50)
    (1 2, 33, 34)(3, 48, 35, 16)(4, 49, 36, 17)(5, 50, 37, 18)(6, 47, 38, 
        15)(7, 14, 39, 46)(8, 21 40, 53)(9, 22, 41 54)(10, 51 42, 19)(11 52,
        43, 20)(12, 24, 44, 56)(13, 55, 45, 23)(25, 28, 57, 60)(26, 27, 58, 
        59)(29, 31 61 63)(30, 32, 62, 64)
    (2, 4)(3, 37)(5, 35)(6, 8)(7, 10)(9, 45)(11 44)(12, 43)(13, 41)(14, 15)(16,
        48)(17, 62)(18, 29)(19, 51)(22, 54)(23, 56)(24, 55)(25, 57)(27, 31)(28, 
        64)(30, 49)(32, 60)(34, 36)(38, 40)(39, 42)(46, 47)(50, 61)(59, 63)
    (6, 39)(7, 38)(8, 42)(9, 43)(10, 40)(11 41)(12, 45)(13, 44)(14, 15)(17, 
        18)(19, 22)(20, 21)(23, 24)(25, 57)(26, 58)(27, 59)(28, 60)(29, 62)(30, 
        61)(31 63)(32, 64)(46, 47)(49, 50)(51 54)(52, 53)(55, 56)
    (4, 5)(8, 9)(10, 11)(17, 18)(19, 20)(21 22)(29, 30)(31 32)(36, 37)(40, 
        41)(42, 43)(49, 50)(51 52)(53, 54)(61 62)(63, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 2
Number of regular subgroups containing zeta: 2
Number of centrally regular subgroups: 2
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 191>
<32, 39> <64, 188>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 - 1 1 - 1 - - 1 1 1 - - 1 1 - - 1 - - - 1 1 - 1 1 - - 1 1 - - ]
[ 1 - 1 - 1 - - 1 1 1 - 1 - 1 - - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - ]
[ 1 - - 1 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 - - - 1 1 1 - 1 - - 1 1 - ]
[ 1 1 1 - - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - - 1 1 1 - 1 - - 1 1 - ]
[ 1 1 - 1 - 1 1 - - - 1 - 1 - 1 1 - - - 1 - 1 - 1 1 - - 1 1 - 1 - ]
[ 1 1 - - 1 - 1 1 - - - 1 1 - - 1 1 1 - - - 1 1 - 1 1 - - 1 1 - - ]
[ 1 - 1 1 - - 1 1 - - - 1 1 1 1 - - 1 - - 1 - - 1 - - 1 1 1 1 - - ]
[ 1 - - 1 1 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 1 - - - 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 1 1 - - - 1 - 1 1 - - 1 - - 1 1 - 1 - - 1 1 - 1 - 1 - ]
[ 1 1 - 1 - - - 1 1 1 - 1 - - 1 1 - - - 1 1 - 1 - - 1 1 - 1 - 1 - ]
[ 1 1 1 - - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 1 - - - 1 - 1 - 1 1 - ]
[ 1 1 - - 1 1 - - 1 1 1 - - - - 1 1 1 - - 1 - - 1 - - 1 1 1 1 - - ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 - - - 1 - - 1 - - 1 - 1 1 - 1 1 - - 1 - - - - 1 1 1 - 1 ]
[ 1 1 - 1 1 1 - - - - - 1 - 1 1 - 1 1 - 1 - - - 1 - 1 - - - 1 1 1 ]
[ 1 1 1 - 1 - 1 - - 1 - - - 1 1 1 - 1 1 - - 1 - - - - 1 - 1 - 1 1 ]
[ 1 - 1 1 1 - - - 1 - - - 1 - 1 1 1 - - - - 1 1 1 - 1 1 1 - - - 1 ]
[ 1 - 1 1 - 1 1 - - 1 - 1 - - - 1 1 1 - - 1 - 1 - 1 - - 1 - - 1 1 ]
[ 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - - 1 1 1 - - 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - 1 1 - 1 1 - - - 1 - 1 - 1 - 1 - - 1 1 1 - - 1 - - 1 ]
[ 1 1 1 - - 1 - - 1 - - 1 1 1 - 1 - - 1 - 1 - - 1 1 1 - - 1 - - 1 ]
[ 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 - - 1 1 1 - - 1 - 1 - - 1 - 1 ]
[ 1 1 - - 1 - - 1 1 - 1 - 1 1 1 - - 1 - - 1 - 1 - 1 - - 1 - - 1 1 ]
[ 1 - - 1 - 1 - 1 1 - 1 1 1 - - - 1 1 1 - - 1 - - - - 1 - 1 - 1 1 ]
[ 1 - 1 - - - 1 1 1 1 1 - 1 - - 1 - 1 - 1 - - - 1 - 1 - - - 1 1 1 ]
[ 1 - - - 1 1 1 - 1 1 - 1 1 - 1 - - - 1 1 - - 1 - - - - 1 1 1 - 1 ]
[ 1 1 - - - 1 1 1 - 1 1 1 - 1 - - - - - - - 1 1 1 - 1 1 1 - - - 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 688128 = 2^15 * 3 * 7
    (5, 44)(6, 11)(7, 46)(8, 13)(9, 41)(12, 37)(14, 39)(15, 47)(16, 48)(17, 
        49)(18, 19)(20, 63)(21 28)(23, 55)(25, 57)(27, 59)(29, 62)(30, 61)(31,
     52)(32, 64)(38, 43)(40, 45)(50, 51)(53, 60)
    (4, 11 37, 36, 43, 5)(6, 44, 42, 38, 12, 10)(7, 13, 47)(8, 41 14)(9, 46, 
        40)(15, 39, 45)(16, 48)(17, 49)(19, 63, 20)(21 28, 61 53, 60, 29)(22, 
        24, 55, 54, 56, 23)(25, 26, 59)(27, 57, 58)(30, 62)(31 52, 51)(32, 64)
    (1 2)(3, 31)(4, 30, 5, 28, 6, 29)(7, 19, 9, 18, 8, 20)(10, 22, 12, 23, 11,
     24)(13, 26, 14, 25, 15, 27)(16, 21)(17, 32)(33, 34)(35, 63)(36, 62, 37, 
        60, 38, 61)(39, 51 41 50, 40, 52)(42, 54, 44, 55, 43, 56)(45, 58, 46, 
        57, 47, 59)(48, 53)(49, 64)
    (2, 4)(3, 10)(5, 14)(6, 13)(7, 12)(8, 11)(9, 17)(15, 16)(34, 36)(35, 42)(37,
        46)(38, 45)(39, 44)(40, 43)(41 49)(47, 48)
    (3, 35)(5, 6)(7, 40)(8, 39)(9, 41)(10, 42)(11 44)(12, 43)(13, 14)(17, 
        49)(18, 51)(19, 50)(20, 52)(22, 56)(23, 55)(24, 54)(25, 27)(29, 30)(31,
     63)(32, 64)(37, 38)(45, 46)(57, 59)(61 62)
    (3, 7, 13)(4, 5, 11)(6, 12, 16)(8, 14, 9)(19, 25, 27)(20, 31 26)(21 23, 
        28)(22, 29, 24)(35, 39, 45)(36, 37, 43)(38, 44, 48)(40, 46, 41)(51 57, 
        59)(52, 63, 58)(53, 55, 60)(54, 61 56)
Automorphism group has centre of order: 2
Number of regular subgroups: 18
Number of regular subgroups containing zeta: 18
Number of centrally regular subgroups: 18
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 39> <64, 190>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 187>
<32, 39> <64, 187>
<32, 39> <64, 188>
<32, 36> <64, 185>
<32, 39> <64, 188>
<32, 39> <64, 191>
<32, 39> <64, 191>
<32, 39> <64, 189>
<32, 9> <64, 39>
<32, 9> <64, 39>
<32, 9> <64, 41>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 191>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - ]
[ 1 1 - 1 1 - 1 1 - 1 1 - 1 1 1 1 - - - - 1 - - - 1 - 1 - - 1 - - ]
[ 1 - 1 1 - 1 1 - 1 1 - 1 1 1 1 1 - - - - - 1 - - - 1 - 1 - - 1 - ]
[ 1 - - 1 - - 1 - - 1 - - - - - - 1 1 1 1 1 1 - - 1 1 1 1 - 1 1 - ]
[ 1 - - 1 - - 1 - - 1 - - 1 1 1 1 1 1 1 1 - - 1 1 - - - - 1 - - 1 ]
[ 1 1 - 1 1 - 1 - 1 1 - 1 - - - - - - - - - 1 1 1 - 1 1 - 1 1 - 1 ]
[ 1 - 1 1 - 1 1 1 - 1 1 - - - - - - - - - 1 - 1 1 1 - - 1 1 - 1 1 ]
[ 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 - - 1 1 1 1 1 1 - - - - - - ]
[ 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 ]
[ 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - - - 1 1 - 1 - - - 1 1 - 1 1 - 1 ]
[ 1 1 - 1 1 - - - 1 - - 1 1 1 - - - - 1 1 1 - - - 1 - - 1 1 - 1 1 ]
[ 1 - - 1 - - - 1 1 - 1 1 - - 1 1 1 1 - - 1 1 - - 1 1 - - 1 - - 1 ]
[ 1 - - 1 - - - 1 1 - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 - 1 1 - ]
[ 1 1 - 1 1 - - 1 - - 1 - - - 1 1 - - 1 1 - 1 1 1 - 1 - 1 - - 1 - ]
[ 1 - 1 1 - 1 - - 1 - - 1 - - 1 1 - - 1 1 1 - 1 1 1 - 1 - - 1 - - ]
[ 1 1 1 - - - 1 1 1 - - - 1 - 1 - 1 - 1 - 1 1 1 - - - 1 1 1 - - - ]
[ 1 1 1 - - - - - - 1 1 1 - 1 1 - - 1 - 1 - - 1 - 1 1 1 1 1 - - - ]
[ 1 1 1 - - - 1 1 1 - - - 1 - 1 - - 1 - 1 - - - 1 1 1 - - - 1 1 1 ]
[ 1 - - - 1 1 - 1 1 1 - - - 1 1 - 1 - 1 - - - - 1 1 1 1 1 - - - 1 ]
[ 1 1 - - - 1 1 1 - - - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 1 - - ]
[ 1 1 - - - 1 - - 1 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - ]
[ 1 - - - 1 1 1 - - - 1 1 1 - 1 - 1 - 1 - - - 1 - 1 1 - - 1 1 1 - ]
[ 1 - - - 1 1 - 1 1 1 - - - 1 1 - - 1 - 1 1 1 1 - - - - - 1 1 1 - ]
[ 1 1 - - - 1 1 1 - - - 1 - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 1 1 - - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - - 1 1 ]
[ 1 1 - - - 1 - - 1 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - - 1 1 1 - - - 1 1 1 - 1 - - 1 - 1 1 1 - 1 - - 1 1 - - - 1 ]
[ 1 1 1 - - - - - - 1 1 1 - 1 1 - 1 - 1 - 1 1 - 1 - - - - - 1 1 1 ]
Permutation group acting on a set of cardinality 64
Order = 16384 = 2^14
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26,
        58)(27, 59)(28, 60)(29, 61)(30, 62)(31 63)(32, 64)
    (1 17, 34, 30, 33, 49, 2, 62)(3, 52, 39, 54, 35, 20, 7, 22)(4, 32, 40, 21,
     36, 64, 8, 53)(5, 29, 6, 57, 37, 61 38, 25)(9, 19, 13, 23, 41 51 45, 
        55)(10, 56, 46, 31 42, 24, 14, 63)(11 18, 15, 28, 43, 50, 47, 60)(12, 
        58, 16, 59, 44, 26, 48, 27)
    (2, 3)(4, 37)(5, 36)(6, 38)(7, 48, 8, 15)(9, 46, 41 14)(10, 43, 42, 11)(12,
        45, 44, 13)(16, 40, 47, 39)(17, 64, 60, 55, 19, 50, 54, 61)(18, 22, 29, 
        49, 32, 28, 23, 51)(20, 59, 24, 31 26, 53, 30, 25)(21 62, 57, 52, 27, 
        56, 63, 58)(34, 35)
    (9, 46)(10, 45)(11 44)(12, 43)(13, 42)(14, 41)(15, 48)(16, 47)(17, 23, 57, 
        56)(18, 53, 58, 22)(19, 29, 63, 62)(20, 60, 64, 27)(21 26, 54, 50)(24, 
        49, 55, 25)(28, 32, 59, 52)(30, 51 61 31)
    (7, 8)(9, 14)(10, 13)(11 12)(17, 52, 25, 64)(18, 51 26, 63)(19, 58, 31,
     50)(20, 57, 32, 49)(21 55, 22, 56)(23, 54, 24, 53)(27, 61 28, 62)(29, 
        60, 30, 59)(39, 40)(41 46)(42, 45)(43, 44)
    (3, 4)(7, 8)(11 12)(15, 16)(21 22)(23, 24)(27, 28)(29, 30)(35, 36)(39, 
        40)(43, 44)(47, 48)(53, 54)(55, 56)(59, 60)(61 62)
    (17, 25)(18, 26)(19, 31)(20, 32)(21 22)(23, 24)(27, 28)(29, 30)(49, 57)(50,
        58)(51 63)(52, 64)(53, 54)(55, 56)(59, 60)(61 62)
    (17, 19)(18, 32)(20, 26)(21 27)(22, 28)(23, 29)(24, 30)(25, 31)(49, 51)(50,
        64)(52, 58)(53, 59)(54, 60)(55, 61)(56, 62)(57, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 288
Number of regular subgroups containing zeta: 288
Number of centrally regular subgroups: 288
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 75>
<32, 48> <64, 208>
<32, 48> <64, 204>
<32, 48> <64, 195>
<32, 48> <64, 197>
<32, 28> <64, 78>
<32, 28> <64, 79>
<32, 28> <64, 79>
<32, 28> <64, 78>
<32, 28> <64, 78>
<32, 28> <64, 79>
<32, 28> <64, 79>
<32, 28> <64, 78>
<32, 46> <64, 194>
<32, 46> <64, 196>
<32, 46> <64, 212>
<32, 46> <64, 203>
<32, 29> <64, 74>
<32, 29> <64, 81>
<32, 29> <64, 76>
<32, 29> <64, 80>
<32, 24> <64, 62>
<32, 24> <64, 64>
<32, 24> <64, 57>
<32, 24> <64, 58>
<32, 23> <64, 56>
<32, 23> <64, 59>
<32, 23> <64, 63>
<32, 23> <64, 61>
<32, 28> <64, 79>
<32, 28> <64, 73>
<32, 28> <64, 78>
<32, 22> <64, 67>
<32, 31> <64, 72>
<32, 28> <64, 70>
<32, 28> <64, 61>
<32, 31> <64, 81>
<32, 48> <64, 209>
<32, 48> <64, 208>
<32, 25> <64, 68>
<32, 25> <64, 68>
<32, 25> <64, 70>
<32, 30> <64, 81>
<32, 30> <64, 79>
<32, 28> <64, 77>
<32, 27> <64, 66>
<32, 27> <64, 66>
<32, 28> <64, 70>
<32, 28> <64, 69>
<32, 27> <64, 75>
<32, 27> <64, 76>
<32, 28> <64, 79>
<32, 28> <64, 77>
<32, 28> <64, 61>
<32, 28> <64, 70>
<32, 34> <64, 65>
<32, 34> <64, 71>
<32, 34> <64, 80>
<32, 27> <64, 66>
<32, 27> <64, 66>
<32, 28> <64, 70>
<32, 28> <64, 69>
<32, 27> <64, 76>
<32, 27> <64, 75>
<32, 28> <64, 79>
<32, 28> <64, 77>
<32, 34> <64, 80>
<32, 25> <64, 59>
<32, 25> <64, 68>
<32, 25> <64, 68>
<32, 46> <64, 205>
<32, 46> <64, 204>
<32, 25> <64, 70>
<32, 28> <64, 79>
<32, 30> <64, 81>
<32, 30> <64, 79>
<32, 28> <64, 79>
<32, 28> <64, 77>
<32, 25> <64, 59>
<32, 30> <64, 68>
<32, 30> <64, 68>
<32, 32> <64, 81>
<32, 29> <64, 66>
<32, 29> <64, 68>
<32, 32> <64, 68>
<32, 32> <64, 68>
<32, 33> <64, 69>
<32, 33> <64, 64>
<32, 32> <64, 63>
<32, 32> <64, 68>
<32, 33> <64, 78>
<32, 33> <64, 82>
<32, 32> <64, 81>
<32, 32> <64, 81>
<32, 32> <64, 79>
<32, 33> <64, 68>
<32, 33> <64, 69>
<32, 32> <64, 68>
<32, 32> <64, 70>
<32, 33> <64, 81>
<32, 33> <64, 78>
<32, 32> <64, 79>
<32, 32> <64, 81>
<32, 26> <64, 72>
<32, 26> <64, 68>
<32, 24> <64, 69>
<32, 24> <64, 68>
<32, 26> <64, 68>
<32, 26> <64, 59>
<32, 28> <64, 69>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 30> <64, 68>
<32, 28> <64, 70>
<32, 28> <64, 69>
<32, 31> <64, 81>
<32, 31> <64, 63>
<32, 29> <64, 61>
<32, 29> <64, 68>
<32, 30> <64, 62>
<32, 30> <64, 69>
<32, 29> <64, 72>
<32, 29> <64, 66>
<32, 30> <64, 68>
<32, 30> <64, 67>
<32, 25> <64, 58>
<32, 23> <64, 70>
<32, 23> <64, 66>
<32, 25> <64, 68>
<32, 25> <64, 67>
<32, 29> <64, 81>
<32, 29> <64, 77>
<32, 30> <64, 78>
<32, 30> <64, 78>
<32, 29> <64, 74>
<32, 29> <64, 79>
<32, 30> <64, 81>
<32, 30> <64, 75>
<32, 25> <64, 69>
<32, 35> <64, 72>
<32, 35> <64, 70>
<32, 28> <64, 67>
<32, 28> <64, 69>
<32, 35> <64, 76>
<32, 35> <64, 79>
<32, 30> <64, 78>
<32, 30> <64, 81>
<32, 29> <64, 81>
<32, 29> <64, 79>
<32, 30> <64, 79>
<32, 30> <64, 80>
<32, 29> <64, 79>
<32, 29> <64, 76>
<32, 24> <64, 68>
<32, 24> <64, 68>
<32, 25> <64, 69>
<32, 25> <64, 70>
<32, 24> <64, 68>
<32, 24> <64, 68>
<32, 25> <64, 68>
<32, 25> <64, 66>
<32, 30> <64, 68>
<32, 30> <64, 69>
<32, 29> <64, 72>
<32, 29> <64, 68>
<32, 30> <64, 69>
<32, 30> <64, 68>
<32, 29> <64, 68>
<32, 29> <64, 70>
<32, 24> <64, 59>
<32, 24> <64, 57>
<32, 25> <64, 59>
<32, 25> <64, 58>
<32, 24> <64, 64>
<32, 24> <64, 63>
<32, 25> <64, 69>
<32, 25> <64, 68>
<32, 33> <64, 82>
<32, 33> <64, 81>
<32, 30> <64, 78>
<32, 30> <64, 81>
<32, 33> <64, 68>
<32, 33> <64, 68>
<32, 30> <64, 68>
<32, 30> <64, 66>
<32, 31> <64, 69>
<32, 31> <64, 63>
<32, 33> <64, 64>
<32, 33> <64, 68>
<32, 31> <64, 81>
<32, 31> <64, 74>
<32, 33> <64, 81>
<32, 33> <64, 81>
<32, 33> <64, 68>
<32, 33> <64, 64>
<32, 30> <64, 68>
<32, 30> <64, 62>
<32, 33> <64, 81>
<32, 33> <64, 81>
<32, 30> <64, 78>
<32, 30> <64, 79>
<32, 31> <64, 72>
<32, 31> <64, 69>
<32, 33> <64, 68>
<32, 33> <64, 68>
<32, 31> <64, 78>
<32, 31> <64, 81>
<32, 33> <64, 82>
<32, 33> <64, 81>
<32, 31> <64, 69>
<32, 31> <64, 63>
<32, 28> <64, 69>
<32, 28> <64, 61>
<32, 31> <64, 74>
<32, 31> <64, 81>
<32, 28> <64, 79>
<32, 28> <64, 75>
<32, 28> <64, 67>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 30> <64, 66>
<32, 28> <64, 77>
<32, 28> <64, 78>
<32, 30> <64, 81>
<32, 30> <64, 78>
<32, 31> <64, 81>
<32, 31> <64, 78>
<32, 28> <64, 77>
<32, 28> <64, 78>
<32, 31> <64, 72>
<32, 31> <64, 69>
<32, 28> <64, 70>
<32, 28> <64, 67>
<32, 28> <64, 61>
<32, 28> <64, 69>
<32, 30> <64, 68>
<32, 30> <64, 62>
<32, 28> <64, 79>
<32, 28> <64, 75>
<32, 30> <64, 79>
<32, 30> <64, 78>
<32, 29> <64, 68>
<32, 29> <64, 70>
<32, 27> <64, 67>
<32, 27> <64, 66>
<32, 29> <64, 72>
<32, 29> <64, 68>
<32, 27> <64, 66>
<32, 27> <64, 67>
<32, 25> <64, 58>
<32, 25> <64, 59>
<32, 22> <64, 58>
<32, 22> <64, 56>
<32, 25> <64, 68>
<32, 25> <64, 69>
<32, 22> <64, 61>
<32, 22> <64, 62>
<32, 29> <64, 79>
<32, 29> <64, 81>
<32, 27> <64, 74>
<32, 27> <64, 75>
<32, 29> <64, 76>
<32, 29> <64, 79>
<32, 27> <64, 76>
<32, 27> <64, 73>
<32, 25> <64, 66>
<32, 25> <64, 68>
<32, 22> <64, 72>
<32, 22> <64, 67>
<32, 25> <64, 70>
<32, 25> <64, 69>
<32, 22> <64, 72>
<32, 5> <64, 5>
<32, 5> <64, 4>
<32, 36> <64, 112>
<32, 36> <64, 87>
<32, 37> <64, 113>
<32, 37> <64, 88>
<32, 5> <64, 5>
<32, 5> <64, 4>
<32, 43> <64, 182>
<32, 43> <64, 165>
<32, 43> <64, 109>
<32, 43> <64, 158>
<32, 39> <64, 107>
<32, 39> <64, 155>
<32, 39> <64, 181>
<32, 39> <64, 161>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 - - - - - - 1 1 - - ]
[ 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - 1 1 ]
[ 1 1 1 1 - - - - 1 1 - 1 1 - - 1 - 1 - - 1 1 1 - - 1 1 - 1 - - - ]
[ 1 1 1 1 - - - - 1 1 1 - - 1 - 1 - 1 1 1 - - - 1 1 - - 1 - 1 - - ]
[ 1 1 - - 1 1 - - 1 1 - 1 - 1 1 - 1 - 1 1 - - 1 - - 1 - 1 1 - - - ]
[ 1 1 - - 1 1 - - 1 1 1 - 1 - 1 - 1 - - - 1 1 - 1 1 - 1 - - 1 - - ]
[ 1 1 - - - - 1 1 1 - 1 - 1 - 1 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 - ]
[ 1 1 - - - - 1 1 - 1 - 1 1 - - - 1 1 1 1 - - - - 1 1 1 - - 1 - 1 ]
[ 1 1 - - - - 1 1 - 1 1 - - 1 1 1 - - - - 1 1 - - 1 1 - 1 1 - - 1 ]
[ 1 1 - - - - 1 1 1 - - 1 - 1 - - 1 1 - - 1 1 1 1 - - - 1 - 1 1 - ]
[ 1 1 - 1 - 1 - - - - - - - 1 - 1 1 - 1 1 1 1 1 - 1 - 1 - - - 1 1 ]
[ 1 1 1 - 1 - - - - - - - 1 - 1 - - 1 1 1 1 1 - 1 - 1 - 1 - - 1 1 ]
[ 1 1 1 - 1 - - - - - 1 1 - 1 - 1 1 - - - - - - 1 - 1 1 - 1 1 1 1 ]
[ 1 1 - 1 - 1 - - - - 1 1 1 - 1 - - 1 - - - - 1 - 1 - - 1 1 1 1 1 ]
[ 1 - - 1 1 - - 1 - - 1 - 1 1 1 1 1 1 - 1 1 - 1 - - 1 - - - 1 - - ]
[ 1 - 1 - - 1 - 1 - - - 1 1 1 1 1 1 1 1 - - 1 - 1 1 - - - 1 - - - ]
[ 1 - - - 1 1 1 - - 1 1 1 - - - 1 - 1 - 1 - 1 1 1 1 1 - - - - 1 - ]
[ 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - 1 - 1 1 1 1 - - - - - 1 ]
[ 1 - 1 1 - - 1 - - 1 1 1 1 1 1 - 1 - - 1 - 1 - - - - 1 1 - - 1 - ]
[ 1 - - - 1 1 1 - 1 - 1 1 1 1 - 1 - 1 1 - 1 - - - - - 1 1 - - - 1 ]
[ 1 - - 1 1 - - 1 1 1 - 1 1 1 - - - - - 1 1 - - 1 1 - - - 1 - 1 1 ]
[ 1 - 1 - - 1 - 1 1 1 1 - 1 1 - - - - 1 - - 1 1 - - 1 - - - 1 1 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - - - - - 1 1 1 - 1 - - 1 - 1 1 1 1 - 1 - ]
[ 1 - 1 - 1 - - 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 1 - 1 - - - - - 1 1 - 1 - 1 1 - 1 - 1 1 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - - 1 - - 1 1 - - - 1 - 1 - 1 - 1 1 1 - 1 - 1 ]
[ 1 - 1 - - 1 1 - - 1 - - 1 - - 1 1 - - 1 1 - 1 1 - - - 1 1 1 - 1 ]
[ 1 - - 1 1 - 1 - - 1 - - - 1 1 - - 1 1 - - 1 1 1 - - 1 - 1 1 - 1 ]
[ 1 - - 1 1 - 1 - 1 - - - 1 - - 1 1 - 1 - - 1 - - 1 1 - 1 1 1 1 - ]
[ 1 - 1 - - 1 1 - 1 - - - - 1 1 - - 1 - 1 1 - - - 1 1 1 - 1 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 8192 = 2^13
    (1 17, 64, 52, 35, 56, 61 51)(2, 18, 31 53, 36, 55, 30, 54)(3, 24, 29, 
        19, 33, 49, 32, 20)(4, 23, 62, 22, 34, 50, 63, 21)(5, 11 58, 48, 8, 42,
        25, 45)(6, 12, 60, 15, 7, 41 27, 14)(9, 59, 46, 38, 44, 28, 47, 39)(10,
        57, 13, 37, 43, 26, 16, 40)
    (2, 3, 34, 35)(4, 36)(5, 39, 38, 40)(6, 8, 37, 7)(9, 45, 56, 52, 10, 46, 18,
        22)(11 16, 55, 51 12, 15, 17, 21)(13, 24, 20, 42, 14, 50, 54, 41)(19, 
        44, 47, 49, 53, 43, 48, 23)(25, 61 28, 64, 57, 29, 60, 32)(26, 62, 59, 
        31 58, 30, 27, 63)
    (3, 35)(4, 36)(5, 38, 37, 6)(7, 40, 39, 8)(9, 53, 11 20)(10, 19, 12, 
        54)(13, 17, 47, 18)(14, 55, 48, 56)(15, 50, 45, 49)(16, 24, 46, 23)(21,
     43, 52, 41)(22, 42, 51 44)(25, 57)(28, 60)(29, 63, 61 31)(30, 64, 62, 
        32)
    (5, 38)(6, 37)(7, 40)(8, 39)(9, 10)(11 12)(13, 48)(14, 47)(15, 46)(16, 
        45)(19, 54)(20, 53)(21 52)(22, 51)(25, 26)(27, 28)(29, 62)(30, 61)(31,
     64)(32, 63)(41 42)(43, 44)(57, 58)(59, 60)
    (9, 10)(11 12)(13, 14)(15, 16)(17, 55)(18, 56)(19, 53)(20, 54)(21 51)(22, 
        52)(23, 49)(24, 50)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(41 42)(43, 44)(45, 46)(47, 48)
    (5, 8)(6, 7)(9, 10)(11 12)(17, 18)(19, 20)(21 22)(23, 24)(25, 28)(26, 
        27)(29, 31)(30, 32)(37, 40)(38, 39)(41 42)(43, 44)(49, 50)(51 52)(53, 
        54)(55, 56)(57, 60)(58, 59)(61 63)(62, 64)
    (5, 7)(6, 8)(9, 11)(10, 12)(13, 14)(15, 16)(19, 20)(21 22)(25, 27)(26, 
        28)(29, 32)(30, 31)(37, 39)(38, 40)(41 43)(42, 44)(45, 46)(47, 48)(51,
     52)(53, 54)(57, 59)(58, 60)(61 64)(62, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 631
Number of regular subgroups containing zeta: 631
Number of centrally regular subgroups: 631
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 45> <64, 192>
<32, 21> <64, 57>
<32, 21> <64, 55>
<32, 47> <64, 208>
<32, 46> <64, 212>
<32, 47> <64, 194>
<32, 46> <64, 194>
<32, 45> <64, 194>
<32, 47> <64, 197>
<32, 23> <64, 59>
<32, 45> <64, 197>
<32, 27> <64, 66>
<32, 30> <64, 62>
<32, 22> <64, 61>
<32, 24> <64, 58>
<32, 27> <64, 66>
<32, 30> <64, 62>
<32, 22> <64, 58>
<32, 24> <64, 61>
<32, 23> <64, 61>
<32, 21> <64, 58>
<32, 22> <64, 62>
<32, 23> <64, 66>
<32, 30> <64, 62>
<32, 30> <64, 66>
<32, 23> <64, 66>
<32, 22> <64, 62>
<32, 30> <64, 66>
<32, 30> <64, 62>
<32, 23> <64, 65>
<32, 22> <64, 72>
<32, 23> <64, 63>
<32, 22> <64, 72>
<32, 28> <64, 78>
<32, 48> <64, 197>
<32, 29> <64, 74>
<32, 24> <64, 57>
<32, 47> <64, 204>
<32, 29> <64, 81>
<32, 23> <64, 56>
<32, 29> <64, 76>
<32, 28> <64, 78>
<32, 24> <64, 64>
<32, 29> <64, 80>
<32, 48> <64, 208>
<32, 23> <64, 61>
<32, 28> <64, 79>
<32, 46> <64, 194>
<32, 28> <64, 79>
<32, 31> <64, 72>
<32, 34> <64, 65>
<32, 31> <64, 63>
<32, 35> <64, 72>
<32, 34> <64, 71>
<32, 34> <64, 65>
<32, 31> <64, 71>
<32, 31> <64, 63>
<32, 46> <64, 196>
<32, 48> <64, 197>
<32, 48> <64, 207>
<32, 46> <64, 212>
<32, 24> <64, 57>
<32, 21> <64, 55>
<32, 24> <64, 59>
<32, 21> <64, 59>
<32, 24> <64, 62>
<32, 28> <64, 79>
<32, 48> <64, 204>
<32, 29> <64, 76>
<32, 48> <64, 195>
<32, 28> <64, 79>
<32, 24> <64, 58>
<32, 29> <64, 81>
<32, 28> <64, 78>
<32, 46> <64, 212>
<32, 28> <64, 78>
<32, 23> <64, 59>
<32, 29> <64, 80>
<32, 23> <64, 63>
<32, 29> <64, 74>
<32, 28> <64, 69>
<32, 48> <64, 208>
<32, 29> <64, 77>
<32, 23> <64, 104>
<32, 21> <64, 85>
<32, 28> <64, 77>
<32, 33> <64, 78>
<32, 25> <64, 69>
<32, 30> <64, 69>
<32, 31> <64, 74>
<32, 29> <64, 74>
<32, 30> <64, 68>
<32, 30> <64, 68>
<32, 25> <64, 69>
<32, 25> <64, 68>
<32, 25> <64, 70>
<32, 29> <64, 68>
<32, 28> <64, 70>
<32, 28> <64, 79>
<32, 29> <64, 79>
<32, 25> <64, 68>
<32, 25> <64, 59>
<32, 33> <64, 81>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 31> <64, 81>
<32, 30> <64, 81>
<32, 31> <64, 72>
<32, 28> <64, 79>
<32, 33> <64, 64>
<32, 29> <64, 68>
<32, 29> <64, 72>
<32, 24> <64, 69>
<32, 30> <64, 81>
<32, 27> <64, 76>
<32, 24> <64, 68>
<32, 22> <64, 72>
<32, 25> <64, 59>
<32, 25> <64, 68>
<32, 29> <64, 77>
<32, 28> <64, 78>
<32, 25> <64, 69>
<32, 25> <64, 69>
<32, 25> <64, 66>
<32, 25> <64, 58>
<32, 48> <64, 209>
<32, 21> <64, 58>
<32, 23> <64, 61>
<32, 32> <64, 81>
<32, 33> <64, 81>
<32, 32> <64, 68>
<32, 29> <64, 81>
<32, 33> <64, 81>
<32, 32> <64, 70>
<32, 24> <64, 68>
<32, 26> <64, 70>
<32, 30> <64, 68>
<32, 29> <64, 68>
<32, 35> <64, 70>
<32, 28> <64, 79>
<32, 29> <64, 68>
<32, 30> <64, 79>
<32, 23> <64, 70>
<32, 25> <64, 59>
<32, 24> <64, 64>
<32, 26> <64, 72>
<32, 32> <64, 79>
<32, 29> <64, 72>
<32, 32> <64, 79>
<32, 33> <64, 81>
<32, 33> <64, 64>
<32, 32> <64, 81>
<32, 29> <64, 79>
<32, 30> <64, 68>
<32, 29> <64, 70>
<32, 30> <64, 68>
<32, 35> <64, 79>
<32, 28> <64, 70>
<32, 25> <64, 68>
<32, 23> <64, 59>
<32, 27> <64, 76>
<32, 25> <64, 69>
<32, 28> <64, 79>
<32, 46> <64, 204>
<32, 27> <64, 66>
<32, 34> <64, 65>
<32, 28> <64, 78>
<32, 28> <64, 79>
<32, 31> <64, 81>
<32, 30> <64, 66>
<32, 28> <64, 70>
<32, 28> <64, 78>
<32, 28> <64, 70>
<32, 48> <64, 195>
<32, 30> <64, 68>
<32, 25> <64, 69>
<32, 25> <64, 68>
<32, 27> <64, 74>
<32, 46> <64, 212>
<32, 28> <64, 77>
<32, 27> <64, 76>
<32, 34> <64, 80>
<32, 28> <64, 70>
<32, 28> <64, 69>
<32, 30> <64, 81>
<32, 31> <64, 69>
<32, 28> <64, 70>
<32, 28> <64, 77>
<32, 28> <64, 69>
<32, 48> <64, 208>
<32, 30> <64, 69>
<32, 25> <64, 59>
<32, 28> <64, 61>
<32, 25> <64, 67>
<32, 27> <64, 66>
<32, 46> <64, 196>
<32, 27> <64, 67>
<32, 28> <64, 69>
<32, 28> <64, 75>
<32, 34> <64, 80>
<32, 48> <64, 205>
<32, 30> <64, 78>
<32, 25> <64, 71>
<32, 28> <64, 78>
<32, 28> <64, 75>
<32, 31> <64, 69>
<32, 30> <64, 67>
<32, 28> <64, 77>
<32, 30> <64, 80>
<32, 28> <64, 71>
<32, 28> <64, 69>
<32, 31> <64, 75>
<32, 30> <64, 75>
<32, 48> <64, 209>
<32, 28> <64, 75>
<32, 25> <64, 69>
<32, 28> <64, 75>
<32, 27> <64, 74>
<32, 34> <64, 71>
<32, 28> <64, 69>
<32, 27> <64, 67>
<32, 46> <64, 204>
<32, 28> <64, 67>
<32, 25> <64, 58>
<32, 28> <64, 61>
<32, 29> <64, 66>
<32, 32> <64, 68>
<32, 33> <64, 82>
<32, 25> <64, 58>
<32, 30> <64, 81>
<32, 26> <64, 72>
<32, 24> <64, 57>
<32, 32> <64, 68>
<32, 33> <64, 68>
<32, 23> <64, 61>
<32, 29> <64, 68>
<32, 32> <64, 81>
<32, 29> <64, 72>
<32, 25> <64, 68>
<32, 23> <64, 63>
<32, 25> <64, 66>
<32, 30> <64, 79>
<32, 29> <64, 72>
<32, 30> <64, 81>
<32, 28> <64, 70>
<32, 35> <64, 76>
<32, 22> <64, 62>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 24> <64, 63>
<32, 33> <64, 82>
<32, 25> <64, 59>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 32> <64, 70>
<32, 33> <64, 82>
<32, 23> <64, 63>
<32, 29> <64, 79>
<32, 26> <64, 59>
<32, 32> <64, 68>
<32, 29> <64, 76>
<32, 29> <64, 68>
<32, 32> <64, 68>
<32, 35> <64, 72>
<32, 25> <64, 66>
<32, 45> <64, 197>
<32, 25> <64, 58>
<32, 21> <64, 59>
<32, 25> <64, 69>
<32, 22> <64, 72>
<32, 25> <64, 69>
<32, 23> <64, 59>
<32, 30> <64, 66>
<32, 28> <64, 79>
<32, 30> <64, 62>
<32, 29> <64, 79>
<32, 48> <64, 209>
<32, 25> <64, 68>
<32, 24> <64, 69>
<32, 25> <64, 59>
<32, 29> <64, 79>
<32, 35> <64, 79>
<32, 32> <64, 63>
<32, 29> <64, 79>
<32, 26> <64, 70>
<32, 29> <64, 68>
<32, 23> <64, 70>
<32, 32> <64, 79>
<32, 24> <64, 68>
<32, 33> <64, 68>
<32, 25> <64, 68>
<32, 30> <64, 79>
<32, 33> <64, 81>
<32, 28> <64, 79>
<32, 30> <64, 68>
<32, 32> <64, 81>
<32, 30> <64, 79>
<32, 29> <64, 79>
<32, 28> <64, 79>
<32, 35> <64, 72>
<32, 25> <64, 68>
<32, 25> <64, 68>
<32, 23> <64, 70>
<32, 25> <64, 70>
<32, 29> <64, 76>
<32, 30> <64, 68>
<32, 28> <64, 69>
<32, 28> <64, 69>
<32, 25> <64, 58>
<32, 25> <64, 69>
<32, 25> <64, 67>
<32, 25> <64, 68>
<32, 25> <64, 68>
<32, 26> <64, 72>
<32, 24> <64, 68>
<32, 21> <64, 59>
<32, 26> <64, 70>
<32, 26> <64, 68>
<32, 32> <64, 68>
<32, 35> <64, 70>
<32, 31> <64, 74>
<32, 34> <64, 80>
<32, 28> <64, 75>
<32, 28> <64, 79>
<32, 29> <64, 81>
<32, 30> <64, 81>
<32, 33> <64, 68>
<32, 32> <64, 63>
<32, 46> <64, 204>
<32, 48> <64, 209>
<32, 32> <64, 81>
<32, 33> <64, 68>
<32, 24> <64, 68>
<32, 26> <64, 59>
<32, 25> <64, 68>
<32, 26> <64, 68>
<32, 31> <64, 81>
<32, 24> <64, 64>
<32, 32> <64, 79>
<32, 24> <64, 63>
<32, 26> <64, 68>
<32, 33> <64, 68>
<32, 25> <64, 59>
<32, 33> <64, 68>
<32, 27> <64, 66>
<32, 28> <64, 69>
<32, 30> <64, 78>
<32, 28> <64, 77>
<32, 30> <64, 75>
<32, 28> <64, 70>
<32, 27> <64, 67>
<32, 28> <64, 79>
<32, 27> <64, 74>
<32, 28> <64, 78>
<32, 30> <64, 69>
<32, 28> <64, 61>
<32, 28> <64, 75>
<32, 30> <64, 68>
<32, 28> <64, 67>
<32, 27> <64, 76>
<32, 24> <64, 68>
<32, 31> <64, 81>
<32, 24> <64, 68>
<32, 32> <64, 81>
<32, 26> <64, 59>
<32, 33> <64, 68>
<32, 25> <64, 70>
<32, 33> <64, 64>
<32, 32> <64, 68>
<32, 29> <64, 81>
<32, 30> <64, 78>
<32, 25> <64, 68>
<32, 30> <64, 78>
<32, 25> <64, 59>
<32, 24> <64, 68>
<32, 30> <64, 78>
<32, 28> <64, 61>
<32, 22> <64, 72>
<32, 31> <64, 69>
<32, 33> <64, 69>
<32, 29> <64, 66>
<32, 23> <64, 70>
<32, 45> <64, 195>
<32, 25> <64, 59>
<32, 21> <64, 58>
<32, 25> <64, 68>
<32, 22> <64, 56>
<32, 25> <64, 68>
<32, 23> <64, 66>
<32, 25> <64, 70>
<32, 29> <64, 70>
<32, 23> <64, 59>
<32, 32> <64, 79>
<32, 26> <64, 68>
<32, 29> <64, 68>
<32, 29> <64, 68>
<32, 35> <64, 70>
<32, 32> <64, 79>
<32, 33> <64, 81>
<32, 24> <64, 68>
<32, 30> <64, 68>
<32, 25> <64, 68>
<32, 28> <64, 79>
<32, 33> <64, 68>
<32, 32> <64, 81>
<32, 30> <64, 79>
<32, 23> <64, 70>
<32, 32> <64, 70>
<32, 26> <64, 68>
<32, 29> <64, 81>
<32, 32> <64, 81>
<32, 29> <64, 79>
<32, 29> <64, 72>
<32, 35> <64, 76>
<32, 24> <64, 59>
<32, 30> <64, 81>
<32, 25> <64, 70>
<32, 33> <64, 64>
<32, 30> <64, 81>
<32, 28> <64, 70>
<32, 33> <64, 64>
<32, 32> <64, 63>
<32, 29> <64, 77>
<32, 30> <64, 68>
<32, 28> <64, 78>
<32, 30> <64, 68>
<32, 25> <64, 66>
<32, 24> <64, 68>
<32, 25> <64, 58>
<32, 48> <64, 208>
<32, 33> <64, 81>
<32, 30> <64, 68>
<32, 29> <64, 70>
<32, 32> <64, 79>
<32, 30> <64, 68>
<32, 29> <64, 68>
<32, 32> <64, 79>
<32, 33> <64, 82>
<32, 31> <64, 69>
<32, 25> <64, 68>
<32, 33> <64, 78>
<32, 24> <64, 59>
<32, 30> <64, 69>
<32, 30> <64, 68>
<32, 33> <64, 69>
<32, 29> <64, 81>
<32, 28> <64, 69>
<32, 27> <64, 76>
<32, 31> <64, 69>
<32, 29> <64, 68>
<32, 30> <64, 80>
<32, 22> <64, 72>
<32, 28> <64, 69>
<32, 25> <64, 59>
<32, 28> <64, 70>
<32, 28> <64, 79>
<32, 29> <64, 79>
<32, 29> <64, 68>
<32, 29> <64, 79>
<32, 28> <64, 79>
<32, 28> <64, 70>
<32, 29> <64, 68>
<32, 30> <64, 68>
<32, 33> <64, 81>
<32, 32> <64, 70>
<32, 29> <64, 81>
<32, 30> <64, 79>
<32, 29> <64, 68>
<32, 32> <64, 81>
<32, 33> <64, 68>
<32, 25> <64, 58>
<32, 31> <64, 81>
<32, 24> <64, 69>
<32, 33> <64, 64>
<32, 30> <64, 78>
<32, 30> <64, 68>
<32, 29> <64, 61>
<32, 33> <64, 68>
<32, 30> <64, 78>
<32, 33> <64, 81>
<32, 29> <64, 66>
<32, 30> <64, 81>
<32, 24> <64, 69>
<32, 31> <64, 63>
<32, 25> <64, 66>
<32, 33> <64, 81>
<32, 23> <64, 65>
<32, 23> <64, 70>
<32, 24> <64, 68>
<32, 24> <64, 64>
<32, 25> <64, 70>
<32, 26> <64, 68>
<32, 26> <64, 70>
<32, 25> <64, 68>
<32, 35> <64, 70>
<32, 35> <64, 79>
<32, 32> <64, 79>
<32, 32> <64, 68>
<32, 32> <64, 81>
<32, 35> <64, 79>
<32, 35> <64, 65>
<32, 32> <64, 68>
<32, 33> <64, 77>
<32, 30> <64, 68>
<32, 30> <64, 78>
<32, 29> <64, 79>
<32, 31> <64, 78>
<32, 24> <64, 64>
<32, 33> <64, 69>
<32, 25> <64, 70>
<32, 30> <64, 69>
<32, 25> <64, 68>
<32, 28> <64, 77>
<32, 22> <64, 72>
<32, 31> <64, 78>
<32, 27> <64, 76>
<32, 28> <64, 77>
<32, 29> <64, 70>
<32, 32> <64, 68>
<32, 29> <64, 81>
<32, 30> <64, 79>
<32, 33> <64, 64>
<32, 29> <64, 79>
<32, 30> <64, 81>
<32, 33> <64, 68>
<32, 32> <64, 70>
<32, 26> <64, 68>
<32, 26> <64, 59>
<32, 25> <64, 59>
<32, 25> <64, 68>
<32, 24> <64, 68>
<32, 23> <64, 70>
<32, 23> <64, 59>
<32, 24> <64, 57>
<32, 29> <64, 80>
<32, 31> <64, 63>
<32, 27> <64, 66>
<32, 28> <64, 70>
<32, 25> <64, 69>
<32, 28> <64, 79>
<32, 22> <64, 58>
<32, 30> <64, 68>
<32, 22> <64, 61>
<32, 28> <64, 70>
<32, 25> <64, 69>
<32, 30> <64, 79>
<32, 29> <64, 77>
<32, 28> <64, 79>
<32, 27> <64, 66>
<32, 31> <64, 81>
<32, 33> <64, 81>
<32, 30> <64, 68>
<32, 29> <64, 79>
<32, 32> <64, 68>
<32, 33> <64, 68>
<32, 32> <64, 81>
<32, 29> <64, 70>
<32, 30> <64, 81>
<32, 24> <64, 58>
<32, 22> <64, 61>
<32, 22> <64, 58>
<32, 24> <64, 61>
<32, 2> <64, 24>
<32, 31> <64, 172>
<32, 34> <64, 175>
<32, 31> <64, 81>
<32, 34> <64, 65>
<32, 28> <64, 79>
<32, 28> <64, 70>
<32, 2> <64, 23>
<32, 29> <64, 77>
<32, 29> <64, 77>
<32, 6> <64, 23>
<32, 6> <64, 23>
<32, 24> <64, 59>
<32, 29> <64, 79>
<32, 30> <64, 68>
<32, 25> <64, 70>
<32, 29> <64, 70>
<32, 24> <64, 68>
<32, 25> <64, 59>
<32, 30> <64, 79>
<32, 25> <64, 59>
<32, 30> <64, 79>
<32, 24> <64, 68>
<32, 29> <64, 70>
<32, 30> <64, 68>
<32, 25> <64, 70>
<32, 29> <64, 79>
<32, 24> <64, 59>
<32, 26> <64, 59>
<32, 32> <64, 79>
<32, 32> <64, 68>
<32, 32> <64, 70>
<32, 26> <64, 59>
<32, 32> <64, 79>
<32, 32> <64, 68>
<32, 32> <64, 70>
<32, 35> <64, 65>
<32, 30> <64, 79>
<32, 23> <64, 70>
<32, 29> <64, 81>
<32, 35> <64, 79>
<32, 30> <64, 81>
<32, 29> <64, 70>
<32, 23> <64, 65>
<32, 36> <64, 87>
<32, 5> <64, 5>
<32, 5> <64, 4>
<32, 37> <64, 113>
<32, 5> <64, 4>
<32, 36> <64, 112>
<32, 37> <64, 88>
<32, 5> <64, 5>
<32, 37> <64, 85>
<32, 37> <64, 104>
<32, 7> <64, 24>
<32, 8> <64, 24>
<32, 28> <64, 143>
<32, 40> <64, 142>
<32, 40> <64, 168>
<32, 44> <64, 143>
<32, 44> <64, 178>
<32, 40> <64, 164>
<32, 43> <64, 158>
<32, 39> <64, 107>
<32, 43> <64, 182>
<32, 40> <64, 156>
<32, 39> <64, 181>
<32, 43> <64, 109>
<32, 43> <64, 165>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 - 1 1 1 - - - - - - - - - - - - - 1 - - 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 1 1 - - - 1 1 1 1 1 1 1 1 - - 1 - - 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 - 1 - - - 1 1 1 1 - - - - 1 - - - 1 1 1 - ]
[ 1 - 1 - 1 - 1 - 1 - - - 1 1 1 - 1 1 - - 1 1 - - 1 1 1 - - - 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 1 1 - - - - 1 - - 1 1 - 1 - - 1 - 1 - 1 1 ]
[ 1 1 - - - 1 1 - - - 1 - 1 1 - 1 1 - 1 - - 1 - 1 1 - 1 1 - 1 - - ]
[ 1 - - 1 1 1 - - - 1 - - 1 - 1 1 1 - - 1 1 - - 1 1 1 - 1 1 - - - ]
[ 1 - - - 1 - 1 1 1 1 1 - - - - 1 1 - 1 - 1 - - 1 - 1 - - - 1 1 1 ]
[ 1 1 - 1 - - - 1 - 1 - - 1 1 - 1 - 1 1 - 1 - 1 - 1 1 1 - - - - 1 ]
[ 1 1 - - 1 1 - - 1 1 - 1 - 1 - - 1 - - - 1 1 1 - 1 - - - 1 1 - 1 ]
[ 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 1 1 1 - - 1 - - 1 - - 1 - - 1 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 1 1 - - - 1 - - 1 - 1 - - 1 1 - - 1 1 1 1 - - - 1 1 - 1 1 - - ]
[ 1 - - 1 1 1 - - - - 1 1 - 1 1 - 1 1 1 1 - - - - - 1 1 - - 1 - 1 ]
[ 1 1 - - 1 - - 1 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 - 1 - 1 ]
[ 1 1 1 - - - 1 - - 1 1 - - 1 1 - 1 1 - - - - 1 1 - 1 - 1 1 - - 1 ]
[ 1 1 - - - 1 1 - 1 - - 1 1 - 1 - - - 1 1 - - 1 1 1 1 - - - - 1 1 ]
[ 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - - - - 1 1 - 1 1 1 - 1 - - 1 1 - ]
[ 1 1 - - 1 - - 1 - - 1 1 - 1 - 1 - 1 - 1 - 1 - 1 1 1 - - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 1 - - - 1 1 - 1 - - 1 - 1 - 1 1 1 - - ]
[ 1 - - 1 - - 1 1 1 - 1 - - 1 1 - - - 1 1 1 1 - - 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - - - 1 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 1 1 1 - - - - 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 - - 1 1 - - 1 1 ]
[ 1 1 - 1 - - - 1 - - 1 1 1 - 1 - 1 - - - 1 1 1 - - 1 - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 1 - - - 1 - 1 - 1 - 1 - 1 1 - - 1 - 1 - 1 1 - ]
[ 1 1 - - 1 1 - - 1 - 1 - - - 1 1 - 1 1 - 1 - 1 - - - 1 1 1 - 1 - ]
[ 1 - - 1 - - 1 1 1 - - 1 - - 1 1 1 1 - - - - 1 1 1 - 1 - 1 1 - - ]
[ 1 - - - 1 - 1 1 - 1 - 1 1 1 - - 1 - 1 1 - - 1 - - - 1 1 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1536 = 2^9 * 3
    (7, 42)(8, 11)(9, 45)(10, 39)(12, 14)(13, 41)(15, 47)(16, 48)(17, 49)(18, 
        26)(20, 52)(21 59)(22, 54)(24, 56)(25, 57)(27, 53)(28, 61)(29, 60)(30, 
        32)(31 63)(40, 43)(44, 46)(50, 58)(62, 64)
    (1 60, 7, 21 25, 52)(2, 30, 42, 18, 24, 47)(3, 64, 11 59, 31 22)(4, 29, 
        40, 58, 16, 17)(5, 44, 51 14, 23, 13)(6, 9)(8, 26, 48, 49, 36, 61)(10, 
        50, 56, 15, 34, 62)(12, 19, 46, 55, 45, 37)(20, 33, 28, 39, 53, 57)(27, 
        63, 54, 35, 32, 43)(38, 41)
    (2, 35, 4)(3, 36, 34)(5, 28, 54)(6, 61 52)(7, 14, 31)(8, 12, 16)(9, 56, 
        43)(10, 45, 25)(11 41 24)(13, 57, 42)(15, 55, 30)(17, 51 64)(18, 58, 
        21)(19, 32, 49)(20, 38, 29)(22, 37, 60)(23, 62, 47)(26, 53, 50)(39, 46, 
        63)(40, 44, 48)
    (5, 37)(6, 38)(7, 10)(8, 43)(9, 46)(11 40)(12, 13)(14, 41)(15, 17)(16, 
        63)(18, 21)(19, 51)(20, 54)(22, 52)(23, 55)(24, 25)(26, 59)(27, 58)(28, 
        61)(29, 60)(30, 32)(31 48)(39, 42)(44, 45)(47, 49)(50, 53)(56, 57)(62, 
        64)
    (5, 38)(6, 37)(7, 40)(8, 39)(9, 12)(10, 11)(13, 46)(14, 45)(15, 49)(16, 
        57)(17, 47)(18, 58)(19, 23)(20, 22)(21 27)(24, 31)(25, 48)(26, 50)(28, 
        60)(29, 61)(30, 62)(32, 64)(41 44)(42, 43)(51 55)(52, 54)(53, 59)(56, 
        63)
Automorphism group has centre of order: 2
Number of regular subgroups: 59
Number of regular subgroups containing zeta: 59
Number of centrally regular subgroups: 59
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 21> <64, 57>
<32, 34> <64, 65>
<32, 34> <64, 73>
<32, 31> <64, 72>
<32, 35> <64, 76>
<32, 31> <64, 75>
<32, 31> <64, 63>
<32, 48> <64, 195>
<32, 24> <64, 58>
<32, 31> <64, 74>
<32, 24> <64, 63>
<32, 25> <64, 68>
<32, 27> <64, 76>
<32, 33> <64, 68>
<32, 30> <64, 62>
<32, 30> <64, 80>
<32, 33> <64, 68>
<32, 30> <64, 79>
<32, 32> <64, 68>
<32, 48> <64, 204>
<32, 25> <64, 68>
<32, 30> <64, 80>
<32, 28> <64, 79>
<32, 28> <64, 79>
<32, 30> <64, 62>
<32, 32> <64, 68>
<32, 24> <64, 62>
<32, 46> <64, 212>
<32, 28> <64, 70>
<32, 28> <64, 69>
<32, 31> <64, 72>
<32, 33> <64, 69>
<32, 33> <64, 68>
<32, 24> <64, 57>
<32, 28> <64, 69>
<32, 26> <64, 72>
<32, 30> <64, 78>
<32, 33> <64, 68>
<32, 28> <64, 70>
<32, 30> <64, 66>
<32, 26> <64, 72>
<32, 33> <64, 69>
<32, 33> <64, 81>
<32, 32> <64, 79>
<32, 30> <64, 66>
<32, 30> <64, 68>
<32, 27> <64, 74>
<32, 30> <64, 79>
<32, 33> <64, 81>
<32, 25> <64, 59>
<32, 30> <64, 79>
<32, 24> <64, 59>
<32, 32> <64, 79>
<32, 28> <64, 71>
<32, 25> <64, 59>
<32, 28> <64, 71>
<32, 30> <64, 68>
<32, 48> <64, 197>
<32, 49> <64, 223>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 - - 1 1 - - 1 1 - - 1 1 - - 1 ]
[ 1 1 - - - - - - 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - ]
[ 1 1 1 1 1 - - 1 1 1 1 1 1 - 1 - - - 1 - 1 - - - - - 1 - 1 - - - ]
[ 1 1 1 1 - 1 1 - 1 1 1 1 - 1 - 1 - - - 1 - 1 - - - - - 1 - 1 - - ]
[ 1 1 - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - - - - - ]
[ 1 - - 1 - - 1 1 - - 1 1 - 1 1 - 1 - - - - - 1 - 1 1 1 1 1 1 - - ]
[ 1 - - 1 - - 1 1 1 1 - - - 1 1 - 1 - 1 1 1 1 1 - - - - - - - 1 1 ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - 1 1 - - 1 1 1 1 - - - 1 - 1 - - ]
[ 1 - 1 - 1 - 1 - - 1 1 - 1 - 1 - - - - - 1 1 - - 1 1 - 1 - 1 1 1 ]
[ 1 - 1 - - 1 - 1 1 - - 1 - 1 - 1 - - - - 1 1 - - 1 1 1 - 1 - 1 1 ]
[ 1 - 1 - 1 - 1 - - 1 1 - - 1 - 1 1 1 - - 1 1 1 1 - - 1 - 1 - - - ]
[ 1 - - 1 1 1 - - - - 1 1 - 1 1 - - 1 1 1 1 1 - 1 1 1 - - - - - - ]
[ 1 - - 1 1 1 - - 1 1 - - - 1 1 - - 1 - - - - - 1 - - 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - 1 - - 1 1 - 1 - - - 1 1 - - - 1 - 1 1 1 1 - - - 1 1 1 - ]
[ 1 1 - - - 1 1 - 1 - 1 - 1 1 - - - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 ]
[ 1 1 - - 1 - - 1 - 1 - 1 1 1 - - - - - 1 - 1 1 1 - 1 1 1 - - - 1 ]
[ 1 1 - - - 1 1 - - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 1 - 1 1 - - 1 - ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 1 - - 1 - - 1 - - 1 1 - 1 - 1 1 1 1 - 1 - - - - - - 1 - 1 1 1 ]
[ 1 1 - - - 1 1 - - - 1 1 1 - 1 - 1 1 - 1 - 1 - - - - 1 - 1 - 1 1 ]
[ 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 - - - 1 1 - 1 1 1 - - 1 - - 1 - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - 1 - - 1 - - 1 1 1 - 1 1 - - - 1 - 1 1 - - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - 1 - - - 1 1 - 1 - 1 1 1 - - - 1 1 1 - - - 1 1 - - - 1 1 1 - ]
[ 1 - - 1 - - 1 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - 1 1 - - - 1 ]
[ 1 - - 1 1 1 - - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - 1 - - - 1 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 36, 33, 4)(2, 40, 34, 8)(3, 9, 35, 41)(5, 24, 37, 56)(6, 23, 38, 55)(7, 
        16, 39, 48)(10, 17, 42, 49)(11 50, 43, 18)(12, 51 44, 19)(13, 20, 45, 
        52)(14, 21 46, 53)(15, 54, 47, 22)(25, 60, 57, 28)(26, 64, 58, 32)(27, 
        30, 59, 62)(29, 63, 61 31)
    (1 2, 33, 34)(3, 61 35, 29)(4, 13, 6, 15)(5, 12, 39, 40)(7, 8, 37, 44)(9, 
        28, 42, 32)(10, 64, 41 60)(11 27, 14, 63)(16, 20)(17, 62, 49, 30)(18, 
        58)(19, 23, 51 55)(21 57)(22, 56)(24, 54)(25, 53)(26, 50)(31 43, 59, 
        46)(36, 45, 38, 47)(48, 52)
    (2, 3)(8, 41)(9, 40)(10, 44)(11 45)(12, 42)(13, 43)(14, 47)(15, 46)(17, 
        19)(18, 20)(21 22)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(34, 35)(49, 51)(50, 52)(53, 54)
    (4, 39)(5, 6)(7, 36)(8, 15)(9, 14)(10, 43)(11 42)(12, 45)(13, 44)(17, 
        49)(18, 50)(19, 51)(20, 52)(23, 55)(24, 56)(25, 57)(27, 60)(28, 59)(30, 
        62)(31 32)(37, 38)(40, 47)(41 46)(63, 64)
    (4, 38)(5, 7)(6, 36)(8, 12)(9, 10)(11 46)(13, 47)(14, 43)(15, 45)(16, 
        48)(18, 50)(20, 52)(21 53)(22, 54)(24, 56)(25, 57)(26, 58)(27, 31)(28, 
        64)(32, 60)(37, 39)(40, 44)(41 42)(59, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 18
Number of regular subgroups containing zeta: 18
Number of centrally regular subgroups: 18
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 151>
<32, 28> <64, 148>
<32, 30> <64, 166>
<32, 27> <64, 132>
<32, 46> <64, 230>
<32, 48> <64, 233>
<32, 25> <64, 117>
<32, 25> <64, 116>
<32, 27> <64, 132>
<32, 28> <64, 151>
<32, 30> <64, 165>
<32, 28> <64, 151>
<32, 28> <64, 143>
<32, 34> <64, 175>
<32, 28> <64, 143>
<32, 31> <64, 172>
<32, 49> <64, 225>
<32, 6> <64, 37>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 - - 1 - - - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - 1 - - 1 - - - - ]
[ 1 - - 1 1 1 1 1 - - - - 1 1 - - - - - - 1 1 - - 1 - - 1 1 1 1 1 ]
[ 1 1 1 - 1 1 - - 1 1 - - 1 - - - 1 1 - - 1 - - - 1 1 1 - 1 1 - - ]
[ 1 - 1 1 1 - 1 - 1 - 1 - - - - 1 - 1 - 1 - - - 1 1 - 1 1 1 - 1 - ]
[ 1 1 - 1 1 - 1 - - 1 - 1 - - 1 - 1 - 1 - - - 1 - 1 1 - 1 1 - 1 - ]
[ 1 1 1 - - 1 - 1 - 1 - 1 1 - - - - - 1 1 - - - 1 1 - 1 1 - - 1 1 ]
[ 1 - - - 1 - 1 - - 1 - 1 1 - 1 1 1 1 - - 1 1 - 1 - - 1 - - - 1 1 ]
[ 1 - - - 1 1 - - - - 1 1 1 - 1 1 - - 1 1 1 - 1 1 1 - - - 1 1 - - ]
[ 1 1 - 1 1 1 - - - - 1 1 - - 1 - - 1 - 1 - 1 - - - 1 1 1 - 1 - 1 ]
[ 1 - 1 1 - - 1 1 - - 1 1 - - - 1 1 - 1 - 1 - - - 1 1 1 - - 1 - 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 - - - - 1 1 1 - - 1 - 1 - 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 1 1 1 - - - 1 1 - 1 - 1 - ]
[ 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - 1 1 1 - - - - 1 - - 1 - 1 1 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 1 1 - 1 - - 1 - - 1 - - 1 - 1 1 ]
[ 1 - 1 - 1 - 1 - - 1 1 - 1 1 - - - 1 1 1 - - 1 - - 1 - - - 1 1 1 ]
[ 1 - 1 - - 1 - 1 - 1 1 - - - 1 1 - 1 - - 1 1 1 - 1 1 - 1 - - 1 - ]
[ 1 - - 1 - 1 1 - 1 1 - - - 1 1 - - - - 1 1 - 1 1 1 1 1 - - - - 1 ]
[ 1 - 1 - - 1 1 - 1 1 - - - - 1 1 1 - 1 1 - 1 - - - - - 1 1 1 - 1 ]
[ 1 - - 1 1 - - 1 1 1 - - 1 - - 1 - - 1 - - 1 1 1 - 1 1 1 - 1 - - ]
[ 1 - 1 - - 1 1 - - - 1 1 1 1 - - 1 - - - - 1 1 1 - 1 1 1 1 - - - ]
[ 1 1 - - - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 1 1 - - - 1 1 - ]
[ 1 1 - - - - 1 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 1 - 1 - 1 - 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - ]
[ 1 1 - - - - 1 1 1 - 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 ]
[ 1 1 - - 1 1 - - 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 1 - - 1 - - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1024 = 2^10
    (1 41 31 13)(2, 8, 64, 11)(3, 18, 61 24)(4, 7, 57, 6)(5, 42, 30, 12)(9, 
        63, 45, 33)(10, 62, 44, 37)(14, 52, 26, 21)(15, 17, 59, 22)(16, 51 28, 
        23)(19, 60, 55, 48)(20, 58, 53, 46)(25, 38, 36, 39)(27, 54, 47, 49)(29, 
        56, 35, 50)(32, 43, 34, 40)
    (1 36, 31 57)(2, 5, 64, 62)(3, 28, 29, 16)(4, 63, 25, 33)(6, 42, 38, 
        10)(7, 44, 39, 12)(8, 41)(9, 40)(11 45)(13, 43)(14, 27, 58, 47)(15, 46,
        59, 26)(17, 19)(18, 21 50, 53)(20, 56, 52, 24)(22, 23)(30, 34, 37, 
        32)(35, 60, 61 48)(49, 51)(54, 55)
    (1 3, 63, 61)(2, 46, 32, 58)(4, 28, 57, 48)(5, 27, 30, 15)(6, 20)(7, 21)(8,
        19, 40, 51)(9, 17, 41 49)(10, 56)(11 23, 43, 55)(12, 50)(13, 22, 45, 
        54)(14, 64, 26, 34)(16, 36, 60, 25)(18, 44)(24, 42)(29, 33, 35, 31)(37, 
        59, 62, 47)(38, 52)(39, 53)
    (3, 58)(4, 25)(5, 62)(6, 7)(8, 40)(9, 41)(10, 44)(11 43)(12, 42)(13, 
        45)(14, 29)(15, 48)(16, 47)(17, 51)(18, 21)(19, 49)(20, 56)(22, 23)(24, 
        52)(26, 35)(27, 28)(30, 37)(36, 57)(38, 39)(46, 61)(50, 53)(54, 55)(59, 
        60)
    (3, 61)(4, 25)(5, 62)(6, 39)(7, 38)(10, 12)(14, 26)(15, 47)(16, 48)(17, 
        49)(18, 24)(19, 51)(20, 53)(21 52)(22, 54)(23, 55)(27, 59)(28, 60)(29, 
        35)(30, 37)(36, 57)(42, 44)(46, 58)(50, 56)
    (6, 43)(7, 8)(9, 42)(10, 41)(11 38)(12, 13)(17, 18)(19, 52)(20, 51)(21,
     23)(22, 56)(24, 54)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(39, 40)(44, 45)(49, 50)(53, 55)
Automorphism group has centre of order: 4
Number of regular subgroups: 116
Number of regular subgroups containing zeta: 116
Number of centrally regular subgroups: 112
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 22> <64, 72>
<32, 23> <64, 59>
<32, 46> <64, 212>
<32, 22> <64, 72>
<32, 23> <64, 65>
<32, 21> <64, 55>
<32, 22> <64, 71>
<32, 45> <64, 196>
<32, 30> <64, 68>
<32, 30> <64, 68>
<32, 27> <64, 76>
<32, 23> <64, 109>
<32, 2> <64, 20>
<32, 22> <64, 100>
<32, 2> <64, 20>
<32, 2> <64, 24>
<32, 21> <64, 85>
<32, 28> <64, 70>
<32, 28> <64, 79>
<32, 24> <64, 59>
<32, 22> <64, 67>
<32, 27> <64, 76>
<32, 2> <64, 24>
<32, 23> <64, 104>
<32, 2> <64, 20>
<32, 22> <64, 99>
<32, 6> <64, 34>
<32, 6> <64, 34>
<32, 2> <64, 20>
<32, 22> <64, 100>
<32, 29> <64, 66>
<32, 31> <64, 81>
<32, 25> <64, 66>
<32, 28> <64, 79>
<32, 28> <64, 61>
<32, 34> <64, 65>
<32, 25> <64, 58>
<32, 28> <64, 70>
<32, 35> <64, 76>
<32, 29> <64, 68>
<32, 29> <64, 76>
<32, 25> <64, 68>
<32, 31> <64, 72>
<32, 28> <64, 70>
<32, 29> <64, 72>
<32, 25> <64, 59>
<32, 35> <64, 70>
<32, 29> <64, 79>
<32, 29> <64, 79>
<32, 25> <64, 70>
<32, 23> <64, 56>
<32, 30> <64, 66>
<32, 30> <64, 66>
<32, 28> <64, 78>
<32, 31> <64, 69>
<32, 29> <64, 79>
<32, 28> <64, 77>
<32, 25> <64, 70>
<32, 22> <64, 56>
<32, 30> <64, 67>
<32, 27> <64, 66>
<32, 28> <64, 75>
<32, 31> <64, 69>
<32, 28> <64, 77>
<32, 29> <64, 79>
<32, 25> <64, 70>
<32, 30> <64, 67>
<32, 28> <64, 75>
<32, 22> <64, 56>
<32, 27> <64, 66>
<32, 34> <64, 71>
<32, 28> <64, 77>
<32, 28> <64, 77>
<32, 25> <64, 70>
<32, 27> <64, 67>
<32, 28> <64, 73>
<32, 46> <64, 194>
<32, 27> <64, 67>
<32, 29> <64, 68>
<32, 28> <64, 70>
<32, 25> <64, 68>
<32, 25> <64, 59>
<32, 35> <64, 76>
<32, 31> <64, 72>
<32, 29> <64, 76>
<32, 29> <64, 72>
<32, 29> <64, 66>
<32, 28> <64, 61>
<32, 25> <64, 66>
<32, 25> <64, 58>
<32, 31> <64, 81>
<32, 34> <64, 65>
<32, 28> <64, 79>
<32, 28> <64, 70>
<32, 24> <64, 69>
<32, 21> <64, 58>
<32, 23> <64, 66>
<32, 24> <64, 69>
<32, 26> <64, 59>
<32, 26> <64, 70>
<32, 26> <64, 70>
<32, 26> <64, 59>
<32, 46> <64, 228>
<32, 25> <64, 121>
<32, 25> <64, 119>
<32, 27> <64, 133>
<32, 25> <64, 115>
<32, 28> <64, 143>
<32, 28> <64, 143>
<32, 28> <64, 148>
<32, 34> <64, 175>
<32, 28> <64, 148>
<32, 6> <64, 33>
<32, 6> <64, 33>
<32, 28> <64, 142>
<32, 27> <64, 133>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - 1 1 - 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 - - - - 1 - - ]
[ 1 - 1 1 1 - 1 - - 1 1 - - 1 - - 1 1 - - 1 1 - - - 1 1 1 - 1 - - ]
[ 1 - 1 1 1 - - 1 1 - - 1 1 - 1 1 - - 1 1 - - - - - 1 1 1 - 1 - - ]
[ 1 - 1 - 1 1 1 - 1 - 1 - 1 - 1 1 - - - - 1 1 1 1 - 1 - - - - 1 - ]
[ 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 1 1 1 - - 1 1 - 1 - - - - 1 - ]
[ 1 - 1 1 - 1 1 1 - - - 1 1 - - 1 1 1 - - - 1 1 - 1 - 1 - - - - 1 ]
[ 1 - 1 1 - 1 - - 1 1 1 - - 1 1 - - - 1 1 1 - 1 - 1 - 1 - - - - 1 ]
[ 1 1 - - 1 1 1 - - 1 - - 1 1 1 1 - 1 - 1 - - - - 1 - 1 1 - - 1 - ]
[ 1 1 - - 1 1 - 1 1 - 1 1 - - - - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 - ]
[ 1 1 - 1 - 1 1 - 1 - 1 - 1 - - - 1 1 1 1 - - - 1 - 1 - 1 - - - 1 ]
[ 1 1 - 1 - 1 - 1 - 1 - 1 - 1 1 1 - - - - 1 1 - 1 - 1 - 1 - - - 1 ]
[ 1 1 - 1 1 - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 - - ]
[ 1 1 1 - - 1 1 - - - 1 1 - 1 1 1 1 - 1 - - - - 1 - - 1 - 1 1 - - ]
[ 1 1 1 - - 1 - 1 1 1 - - 1 - - - - 1 - 1 1 1 - 1 - - 1 - 1 1 - - ]
[ 1 1 1 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 - 1 - - - 1 1 - - 1 - 1 - ]
[ 1 1 1 1 - - - - 1 - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - - 1 - 1 - ]
[ 1 1 1 - 1 - 1 1 - 1 1 - - - - 1 - - 1 1 - 1 1 - - - - 1 1 - - 1 ]
[ 1 1 1 - 1 - - - 1 - - 1 1 1 1 - 1 1 - - 1 - 1 - - - - 1 1 - - 1 ]
[ 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - - - 1 - 1 1 1 - - - - 1 - 1 - 1 1 - 1 - - 1 1 1 1 - 1 - - 1 ]
[ 1 - - - 1 - - - - 1 1 1 1 - 1 - 1 - - 1 - 1 - 1 1 1 1 - 1 - - 1 ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 - 1 - - 1 - 1 1 - 1 1 - 1 1 1 - - ]
[ 1 - - - - 1 - - - 1 1 1 1 - - 1 - 1 1 - 1 - 1 - 1 1 - 1 1 1 - - ]
[ 1 - - 1 - - 1 - 1 1 - 1 - - 1 - - 1 1 - - 1 1 1 - - 1 1 1 - 1 - ]
[ 1 - - 1 - - - 1 - - 1 - 1 1 - 1 1 - - 1 1 - 1 1 - - 1 1 1 - 1 - ]
[ 1 - 1 - - - 1 - - - - 1 1 1 - - - - 1 1 1 1 - 1 1 - - 1 - 1 1 1 ]
[ 1 - 1 - - - - 1 1 1 1 - - - 1 1 1 1 - - - - - 1 1 - - 1 - 1 1 1 ]
[ 1 1 - - - - 1 - 1 1 - 1 - - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 1 ]
[ 1 1 - - - - - 1 - - 1 - 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 ]
[ 1 - - 1 1 1 1 1 - - 1 1 - - 1 - - 1 - 1 1 - - - - - - - 1 1 1 1 ]
[ 1 - - 1 1 1 - - 1 1 - - 1 1 - 1 1 - 1 - - 1 - - - - - - 1 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 3072 = 2^10 * 3
    (1 2, 33, 34)(3, 31 35, 63)(4, 32, 36, 64)(5, 55, 37, 23)(6, 56, 38, 
        24)(7, 51 39, 19)(8, 50, 40, 18)(9, 15, 41 47)(10, 14, 42, 46)(11 21,
     43, 53)(12, 22, 44, 54)(13, 52, 45, 20)(16, 60, 48, 28)(17, 59, 49, 
        27)(25, 30, 57, 62)(26, 29, 58, 61)
    (2, 18, 43, 49, 6, 46)(3, 41 39, 35, 9, 7)(4, 10, 40)(5, 15, 13, 51 44, 
        16)(8, 36, 42)(11 17, 38, 14, 34, 50)(12, 48, 37, 47, 45, 19)(20, 
        52)(21 56, 57)(22, 23, 58, 54, 55, 26)(24, 25, 53)(28, 60)(29, 63)(30, 
        32)(31 61)(62, 64)
    (3, 35)(4, 36)(5, 44)(6, 43)(7, 9)(8, 10)(11 38)(12, 37)(14, 50)(15, 
        51)(18, 46)(19, 47)(21 24)(22, 23)(25, 57)(26, 58)(29, 61)(30, 62)(31,
     63)(32, 64)(39, 41)(40, 42)(53, 56)(54, 55)
    (3, 4)(7, 8)(9, 10)(14, 15)(16, 17)(18, 19)(27, 28)(31 32)(35, 36)(39, 
        40)(41 42)(46, 47)(48, 49)(50, 51)(59, 60)(63, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 30
Number of regular subgroups containing zeta: 30
Number of centrally regular subgroups: 30
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 46> <64, 229>
<32, 28> <64, 152>
<32, 28> <64, 154>
<32, 34> <64, 175>
<32, 28> <64, 154>
<32, 25> <64, 125>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 27> <64, 132>
<32, 25> <64, 124>
<32, 27> <64, 137>
<32, 27> <64, 136>
<32, 46> <64, 230>
<32, 28> <64, 154>
<32, 28> <64, 154>
<32, 34> <64, 178>
<32, 28> <64, 154>
<32, 28> <64, 151>
<32, 34> <64, 175>
<32, 25> <64, 117>
<32, 28> <64, 151>
<32, 28> <64, 149>
<32, 25> <64, 116>
<32, 28> <64, 148>
<32, 34> <64, 178>
<32, 27> <64, 137>
<32, 27> <64, 132>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 - - - - 1 1 - - - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - - 1 - - - 1 1 - - 1 1 - 1 - 1 1 - - 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - 1 1 1 1 - - - - 1 1 - - - - ]
[ 1 - 1 - - 1 1 - - - - 1 - - 1 - - 1 1 - 1 - - 1 - 1 1 1 - 1 1 1 ]
[ 1 - - 1 - 1 - 1 - - 1 - - - - 1 1 - 1 - - 1 - 1 1 - 1 1 1 - 1 1 ]
[ 1 - 1 - - 1 1 - 1 - 1 1 - 1 1 1 1 1 1 - - - 1 - 1 - - - 1 - - - ]
[ 1 - - 1 - 1 - 1 - 1 1 1 1 - 1 1 1 1 - 1 - - - 1 - 1 - - - 1 - - ]
[ 1 1 1 1 - - - - 1 1 - 1 1 1 - 1 1 - 1 - 1 - - 1 - - - - - - 1 1 ]
[ 1 - - - 1 - - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 1 1 1 - - - 1 - ]
[ 1 1 - 1 1 1 1 - 1 - 1 - 1 - - 1 - 1 - - 1 - - - - 1 1 - 1 - - 1 ]
[ 1 1 1 - 1 1 - 1 1 - - 1 1 - 1 - 1 - - - - 1 - - 1 - 1 - - 1 - 1 ]
[ 1 - 1 1 1 - 1 1 - 1 1 - - 1 1 - 1 - - - 1 - - - 1 1 - 1 - - - 1 ]
[ 1 - - - 1 - - - 1 - 1 - 1 - 1 - 1 - 1 1 1 - 1 1 - - - 1 1 1 - 1 ]
[ 1 1 1 - 1 1 - 1 - 1 1 1 1 - - - - - 1 - - - 1 - - 1 - 1 1 - 1 - ]
[ 1 1 - 1 1 1 1 - 1 - 1 1 - 1 - - - - - 1 - - - 1 1 - - 1 - 1 1 - ]
[ 1 - 1 1 1 - 1 1 1 1 - - - - 1 1 - - - - - - 1 1 - - 1 - 1 1 1 - ]
[ 1 - - - - 1 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - - 1 1 1 1 - ]
[ 1 1 1 - - - 1 - - - 1 - 1 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - ]
[ 1 1 - 1 - - - 1 - - 1 - 1 1 1 - - 1 1 - 1 - 1 - 1 - 1 - - 1 1 - ]
[ 1 - - - - 1 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 1 - - - - 1 ]
[ 1 - 1 1 - 1 - - - 1 1 1 - 1 - - - - - 1 1 1 1 - - - 1 - 1 1 - 1 ]
[ 1 1 1 - - - 1 - - 1 1 - 1 - - 1 - 1 - - - 1 1 1 1 - - 1 - 1 - 1 ]
[ 1 1 - 1 - - - 1 1 - - 1 - 1 1 - - 1 - - - 1 1 1 - 1 - 1 1 - - 1 ]
[ 1 - 1 1 - 1 - - 1 - - - 1 - 1 1 - - - 1 1 1 1 - 1 1 - 1 - - 1 - ]
[ 1 - - 1 1 - 1 - - - - 1 1 1 - 1 1 - 1 - - 1 1 - - 1 1 1 - 1 - - ]
[ 1 - 1 - 1 - - 1 - - - 1 1 1 - 1 - 1 - 1 1 - - 1 1 - 1 1 1 - - - ]
[ 1 1 - - 1 1 - - - 1 - - - 1 1 1 - - 1 - 1 1 - 1 1 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - - 1 - - - 1 1 1 1 1 - 1 - - 1 - - - 1 1 - - 1 1 ]
[ 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 - 1 1 1 - 1 - - - 1 - - - 1 1 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 1 1 - 1 - - 1 - - - 1 - 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 3, 22, 4, 33, 35, 54, 36)(2, 49, 51 45, 34, 17, 19, 13)(5, 26, 10, 29, 
        37, 58, 42, 61)(6, 56, 9, 63, 38, 24, 41 31)(7, 53, 8, 27, 39, 21 40, 
        59)(11 28, 46, 20, 43, 60, 14, 52)(12, 30, 48, 23, 44, 62, 16, 55)(15, 
        25, 18, 32, 47, 57, 50, 64)
    (1 2, 33, 34)(3, 18, 35, 50)(4, 47, 36, 15)(5, 11 37, 43)(6, 12, 38, 
        44)(7, 13, 39, 45)(8, 49, 40, 17)(9, 48, 41 16)(10, 46, 42, 14)(19, 22,
        51 54)(20, 56, 52, 24)(21 57, 53, 25)(23, 58, 55, 26)(27, 32, 59, 
        64)(28, 31 60, 63)(29, 62, 61 30)
    (3, 4)(5, 10)(6, 41)(7, 40)(8, 39)(9, 38)(11 46)(12, 16)(13, 17)(14, 
        43)(15, 50)(18, 47)(19, 51)(22, 54)(23, 55)(26, 58)(27, 59)(28, 60)(31,
     63)(32, 64)(35, 36)(37, 42)(44, 48)(45, 49)
    (3, 7, 37, 6)(4, 40, 42, 41)(5, 38, 35, 39)(8, 10, 9, 36)(11 45, 50, 
        44)(12, 43, 13, 18)(14, 17, 47, 16)(15, 48, 46, 49)(19, 51)(20, 25, 52, 
        57)(21 56, 53, 24)(22, 54)(27, 63, 59, 31)(28, 32, 60, 64)(29, 61)(30, 
        62)
Automorphism group has centre of order: 2
Number of regular subgroups: 18
Number of regular subgroups containing zeta: 18
Number of centrally regular subgroups: 18
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 27> <64, 132>
<32, 30> <64, 166>
<32, 46> <64, 230>
<32, 48> <64, 233>
<32, 25> <64, 116>
<32, 25> <64, 117>
<32, 28> <64, 148>
<32, 28> <64, 151>
<32, 28> <64, 143>
<32, 31> <64, 172>
<32, 30> <64, 165>
<32, 28> <64, 151>
<32, 28> <64, 143>
<32, 34> <64, 175>
<32, 27> <64, 132>
<32, 28> <64, 151>
<32, 49> <64, 225>
<32, 6> <64, 37>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 - 1 - 1 1 1 1 1 - - - - - 1 - 1 1 - 1 - - - 1 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - - - - 1 - 1 1 - 1 1 1 1 - - - 1 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - 1 - 1 1 1 1 - - - 1 - 1 - - 1 - 1 1 1 - - - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - - - - - 1 1 - 1 1 1 1 - - - - 1 1 - 1 1 1 - 1 - - 1 - 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - 1 - 1 1 - - - - - - - - - 1 - - 1 1 1 1 1 - 1 1 - ]
[ 1 1 1 1 - 1 1 - 1 - - 1 - - - - - - - - - 1 1 - 1 1 1 1 1 - - 1 ]
[ 1 1 1 1 1 - - 1 1 1 1 1 1 - - 1 1 - - 1 - - - - - - - - 1 - - 1 ]
[ 1 1 1 1 - 1 1 - 1 1 1 1 - 1 1 - - 1 1 - - - - - - - - - - 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - 1 1 1 - - - - 1 1 1 1 1 - 1 1 - - 1 - - - - ]
[ 1 - - 1 1 - 1 - - - 1 - 1 1 1 - - - - 1 - 1 - - - 1 1 - 1 1 1 1 ]
[ 1 - - 1 - 1 - 1 - - - 1 1 - 1 1 - 1 - - 1 - - - 1 - - 1 1 1 1 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 1 - - 1 - 1 1 - 1 1 1 1 - - 1 1 - - - - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 - 1 - - 1 - 1 - - 1 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 1 - - - 1 - 1 - 1 1 - - 1 1 - - - 1 1 - 1 - 1 1 - - 1 1 - - 1 ]
[ 1 1 - - 1 - 1 - - 1 - 1 - - 1 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 1 - - - 1 - 1 1 - - 1 1 - - 1 - - 1 1 - 1 - 1 - 1 1 - - 1 1 - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - - - 1 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - - 1 1 1 1 - - ]
[ 1 - - 1 - - 1 1 1 1 - - - 1 - 1 1 - 1 - 1 1 - - 1 - 1 - - - 1 1 ]
[ 1 - - 1 - - 1 1 1 1 - - 1 - 1 - 1 - 1 - - - 1 1 - 1 - 1 1 1 - - ]
[ 1 - - 1 1 1 - - - - 1 1 - 1 - 1 1 - 1 - - - 1 1 1 - 1 - 1 1 - - ]
[ 1 - - 1 1 1 - - 1 1 - - - 1 - 1 - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 ]
[ 1 - 1 - 1 - - 1 1 - 1 - - - 1 1 - 1 1 - - 1 1 - 1 1 - - - 1 - 1 ]
[ 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 1 1 - - - 1 - 1 - - 1 1 - 1 - 1 ]
[ 1 - 1 - 1 - - 1 - 1 - 1 1 1 - - - 1 1 - - 1 1 - - - 1 1 1 - 1 - ]
[ 1 - 1 - - 1 1 - - 1 1 - 1 - - 1 - - 1 1 1 - 1 - 1 1 - - 1 - 1 - ]
Permutation group acting on a set of cardinality 64
Order = 256 = 2^8
    (1 50, 7, 24)(2, 55, 8, 17)(3, 63, 4, 64)(5, 29, 6, 30)(9, 60, 10, 26)(11,
     27, 12, 57)(13, 22, 48, 53)(14, 52, 47, 19)(15, 51 46, 20)(16, 21 45, 
        54)(18, 39, 56, 33)(23, 40, 49, 34)(25, 43, 59, 44)(28, 42, 58, 41)(31,
     36, 32, 35)(37, 61 38, 62)
    (1 3, 28, 5, 33, 35, 60, 37)(2, 16, 25, 47, 34, 48, 57, 15)(4, 58, 6, 39, 
        36, 26, 38, 7)(8, 45, 59, 14, 40, 13, 27, 46)(9, 63, 56, 61 41 31 24,
        29)(10, 64, 18, 62, 42, 32, 50, 30)(11 54, 23, 20, 43, 22, 55, 52)(12, 
        21 49, 51 44, 53, 17, 19)
    (1 2, 33, 34)(3, 15, 35, 47)(4, 46, 36, 14)(5, 48, 37, 16)(6, 13, 38, 
        45)(7, 8, 39, 40)(9, 11 41 43)(10, 12, 42, 44)(17, 50, 49, 18)(19, 32,
        51 64)(20, 63, 52, 31)(21 62, 53, 30)(22, 29, 54, 61)(23, 56, 55, 
        24)(25, 28, 57, 60)(26, 59, 58, 27)
    (3, 36)(4, 35)(5, 38)(6, 37)(9, 10)(11 12)(13, 16)(14, 15)(17, 55)(18, 
        56)(19, 51)(20, 52)(21 53)(22, 54)(23, 49)(24, 50)(29, 61)(30, 62)(31,
     63)(32, 64)(41 42)(43, 44)(45, 48)(46, 47)
    (3, 5)(4, 6)(13, 46)(14, 45)(15, 48)(16, 47)(17, 49)(18, 50)(19, 53)(20, 
        54)(21 51)(22, 52)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 
        31)(30, 32)(35, 37)(36, 38)(61 63)(62, 64)
Automorphism group has centre of order: 4
Number of regular subgroups: 34
Number of regular subgroups containing zeta: 34
Number of centrally regular subgroups: 34
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 25> <64, 120>
<32, 30> <64, 166>
<32, 28> <64, 149>
<32, 30> <64, 165>
<32, 30> <64, 163>
<32, 29> <64, 160>
<32, 28> <64, 143>
<32, 48> <64, 214>
<32, 25> <64, 117>
<32, 48> <64, 228>
<32, 24> <64, 112>
<32, 25> <64, 119>
<32, 29> <64, 156>
<32, 24> <64, 112>
<32, 25> <64, 120>
<32, 48> <64, 210>
<32, 31> <64, 168>
<32, 28> <64, 142>
<32, 25> <64, 120>
<32, 30> <64, 166>
<32, 28> <64, 145>
<32, 30> <64, 166>
<32, 28> <64, 149>
<32, 30> <64, 165>
<32, 28> <64, 151>
<32, 25> <64, 117>
<32, 27> <64, 132>
<32, 46> <64, 230>
<32, 28> <64, 151>
<32, 34> <64, 175>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 49> <64, 201>
<32, 49> <64, 235>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 - - - - - - 1 1 1 1 - 1 1 - 1 1 1 1 - 1 1 - 1 1 - - - - - - ]
[ 1 1 - - 1 1 1 1 - - - - - 1 1 - - - - - - 1 1 - 1 1 - - 1 1 1 1 ]
[ 1 1 1 - 1 - - - 1 - - - 1 - - - 1 1 1 - 1 - - - 1 1 1 - 1 1 1 - ]
[ 1 - 1 1 - 1 - - - - 1 - - - 1 - 1 - 1 1 - - 1 - - 1 1 1 1 - 1 1 ]
[ 1 - - - 1 1 - 1 1 - 1 1 1 - 1 1 - - 1 - 1 - 1 1 - 1 - - - - 1 - ]
[ 1 1 - 1 - - - 1 - - - 1 - - - 1 - 1 1 1 - - - 1 1 1 - 1 - 1 1 1 ]
[ 1 1 1 1 - 1 1 - 1 - - 1 1 1 1 1 - 1 1 - - - - - - - - - 1 - - 1 ]
[ 1 1 1 1 1 - - 1 - 1 1 - 1 1 1 1 1 - - 1 - - - - - - - - - 1 1 - ]
[ 1 1 - 1 1 1 1 - - 1 1 1 1 - - - - - 1 - - 1 - - 1 - 1 1 - - 1 - ]
[ 1 - 1 1 1 - 1 1 1 - 1 1 - 1 - - - - - 1 1 - - - 1 1 1 - - - - 1 ]
[ 1 - - - - - 1 - - - 1 - 1 1 - 1 - 1 1 1 1 1 1 - - - 1 - - 1 1 1 ]
[ 1 1 1 - - 1 1 1 1 1 1 - - - - 1 - 1 - - - - 1 - - 1 1 1 - 1 - - ]
[ 1 - 1 - - - 1 1 - - - - 1 1 1 1 1 - 1 - - 1 - 1 1 1 1 1 - - - - ]
[ 1 - 1 - - - 1 1 1 1 1 1 - - - - 1 - 1 - - 1 - 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - 1 1 - 1 - - 1 - - - - 1 1 1 1 1 1 - - 1 - - 1 ]
[ 1 1 1 1 - - - - 1 - - 1 - 1 1 - - - - - 1 1 1 1 - - 1 1 - 1 1 - ]
[ 1 - 1 - 1 1 - - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 ]
[ 1 1 - - - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - ]
[ 1 - - 1 - 1 - 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 - 1 - 1 1 - - ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 1 1 - - ]
[ 1 1 - - 1 - - 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 - - 1 ]
[ 1 - 1 - 1 1 - - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 - 1 - 1 1 - - ]
[ 1 1 - - - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 1 - - - 1 - 1 1 1 - - - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 1 - - 1 1 - - - 1 - 1 1 1 - - - 1 - 1 - 1 1 - - - 1 1 ]
[ 1 - - 1 - - 1 1 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - 1 - - 1 - - 1 1 ]
[ 1 1 - - 1 - - 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 1 - - ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 1 - 1 - 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 256 = 2^8
    (5, 8)(6, 39)(7, 38)(11 14)(12, 45)(13, 44)(15, 48)(16, 47)(19, 56)(20, 
        26)(21 53)(22, 54)(23, 30)(24, 51)(25, 57)(27, 59)(28, 60)(29, 61)(31,
     63)(32, 64)(37, 40)(43, 46)(52, 58)(55, 62)
    (1 39, 2, 38)(3, 56, 42, 51)(4, 55, 9, 30)(5, 18, 40, 49)(6, 33, 7, 34)(8, 
        17, 37, 50)(10, 19, 35, 24)(11 31 14, 54)(12, 21 45, 25)(13, 57, 44, 
        53)(15, 29, 48, 64)(16, 32, 47, 61)(20, 28, 26, 27)(22, 43, 63, 46)(23, 
        41 62, 36)(52, 60, 58, 59)
    (1 44, 17, 46, 34, 45, 18, 11)(2, 13, 50, 43, 33, 12, 49, 14)(3, 15, 9, 58,
        10, 16, 36, 20)(4, 52, 35, 47, 41 26, 42, 48)(5, 25, 7, 22, 8, 53, 38, 
        31)(6, 63, 37, 57, 39, 54, 40, 21)(19, 60, 30, 64, 56, 27, 23, 61)(24, 
        59, 55, 29, 51 28, 62, 32)
    (1 3, 49, 41 34, 10, 50, 4)(2, 42, 18, 36, 33, 35, 17, 9)(5, 51 39, 30, 
        8, 24, 6, 23)(7, 62, 40, 56, 38, 55, 37, 19)(11 52, 12, 15, 46, 26, 13,
        16)(14, 58, 45, 48, 43, 20, 44, 47)(21 59, 31 61 57, 28, 22, 64)(25, 
        60, 54, 32, 53, 27, 63, 29)
    (3, 36)(4, 35)(5, 6)(7, 40)(8, 39)(9, 10)(11 45)(12, 14)(13, 43)(17, 
        18)(19, 24)(20, 58)(21 53)(22, 63)(23, 55)(25, 57)(26, 52)(27, 32)(28, 
        61)(29, 60)(30, 62)(31 54)(37, 38)(41 42)(44, 46)(49, 50)(51 56)(59, 
        64)
Automorphism group has centre of order: 4
Number of regular subgroups: 26
Number of regular subgroups containing zeta: 26
Number of centrally regular subgroups: 26
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 44> <64, 122>
<32, 50> <64, 238>
<32, 43> <64, 182>
<32, 48> <64, 214>
<32, 42> <64, 160>
<32, 44> <64, 100>
<32, 40> <64, 168>
<32, 48> <64, 214>
<32, 42> <64, 120>
<32, 49> <64, 239>
<32, 44> <64, 132>
<32, 42> <64, 120>
<32, 38> <64, 127>
<32, 42> <64, 160>
<32, 43> <64, 158>
<32, 44> <64, 100>
<32, 39> <64, 181>
<32, 37> <64, 85>
<32, 37> <64, 113>
<32, 43> <64, 182>
<32, 44> <64, 132>
<32, 44> <64, 122>
<32, 43> <64, 158>
<32, 38> <64, 127>
<32, 50> <64, 222>
<32, 48> <64, 238>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - 1 1 - 1 1 1 1 - - - - 1 - - 1 1 1 - - 1 1 1 1 - - - - ]
[ 1 1 - - - 1 1 - - - - - 1 1 1 1 1 - - 1 1 1 - - - - - - 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 - 1 - - - - - 1 1 1 1 - 1 - 1 1 1 1 1 - 1 - 1 - - - - 1 1 - - ]
[ 1 - 1 - 1 1 1 1 - - - - - 1 - 1 - - - - - 1 - 1 1 1 1 1 1 1 - - ]
[ 1 1 1 - 1 - - - 1 - - - 1 - - - 1 1 1 - 1 - - - 1 1 1 - 1 1 1 - ]
[ 1 1 - 1 - - - 1 - - - 1 - - - 1 - 1 1 1 - 1 - - - 1 1 1 - 1 1 1 ]
[ 1 - - - 1 1 - 1 1 1 - 1 1 - 1 1 - - 1 - 1 1 1 - - - 1 - - 1 - - ]
[ 1 - 1 1 - 1 - - - 1 - - - - 1 - 1 - 1 1 - - 1 - 1 - 1 1 1 1 - 1 ]
[ 1 1 1 - - 1 1 1 1 - 1 1 - - 1 - - - 1 - - - - 1 - - 1 - 1 - 1 1 ]
[ 1 1 - 1 1 1 1 - 1 1 - 1 - 1 - - - 1 - - - - 1 - - 1 - - 1 1 - 1 ]
[ 1 - - - - - 1 - - - - 1 1 1 1 - 1 1 1 - - 1 1 1 1 1 1 - - - - 1 ]
[ 1 - 1 1 1 - 1 1 - 1 1 1 1 - - - 1 - - - - 1 - - 1 - - - - 1 1 1 ]
[ 1 1 1 1 - - - - - - 1 1 1 - 1 - - - - - 1 1 1 1 - 1 - 1 1 1 - - ]
[ 1 1 1 1 - - - - 1 1 - - - 1 - 1 - - - - 1 1 1 1 1 - 1 - - - 1 1 ]
[ 1 1 1 1 - - 1 1 1 1 - - 1 1 1 1 1 - 1 - - - - - - 1 - 1 - - - - ]
[ 1 1 1 1 1 1 - - - - 1 1 1 1 1 1 - 1 - 1 - - - - 1 - 1 - - - - - ]
[ 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - 1 1 - - - - 1 1 1 - 1 - ]
[ 1 - - 1 - 1 - 1 - 1 - 1 1 1 - - - - 1 1 1 - - 1 1 1 - - 1 - 1 - ]
[ 1 - 1 - - - 1 1 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - ]
[ 1 1 - - 1 - - 1 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 1 - - 1 - 1 - 1 1 - - - - 1 1 - 1 1 - - 1 - 1 - - 1 1 ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 1 - - 1 - - 1 1 - - 1 1 1 - 1 - ]
[ 1 1 - - 1 - 1 - - 1 1 - - - 1 1 - - 1 1 - - 1 1 1 1 - - - 1 1 - ]
[ 1 - 1 - - - 1 1 - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 - 1 1 - 1 - - - 1 1 1 1 - - - 1 1 - 1 1 - - 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 ]
[ 1 1 - - - 1 - 1 - 1 1 - 1 1 - - 1 1 - - - - 1 1 - - 1 1 - 1 1 - ]
[ 1 1 - - 1 - - 1 - - 1 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 ]
[ 1 - 1 - 1 1 - - - 1 - 1 - - 1 1 1 1 - - 1 - - 1 - 1 - 1 - - 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 256 = 2^8
    (1 41 4, 40)(2, 63, 35, 25)(3, 57, 34, 31)(5, 62, 50, 54)(6, 55, 17, 
        32)(7, 16, 42, 47)(8, 33, 9, 36)(10, 15, 39, 48)(11 24, 14, 51)(12, 27,
        45, 20)(13, 52, 44, 59)(18, 22, 37, 30)(19, 43, 56, 46)(21 29, 26, 
        28)(23, 49, 64, 38)(53, 61 58, 60)
    (1 5, 47, 49, 36, 18, 48, 6)(2, 14, 53, 12, 3, 43, 26, 13)(4, 50, 16, 38, 
        33, 37, 15, 17)(7, 30, 41 23, 10, 54, 8, 32)(9, 55, 42, 22, 40, 64, 39,
        62)(11 58, 45, 34, 46, 21 44, 35)(19, 63, 20, 28, 24, 57, 59, 61)(25, 
        27, 29, 51 31 52, 60, 56)
    (1 2, 33, 34)(3, 4, 35, 36)(5, 46, 37, 14)(6, 45, 38, 13)(7, 28, 39, 60)(8,
        63, 40, 31)(9, 25, 41 57)(10, 61 42, 29)(11 50, 43, 18)(12, 49, 44, 
        17)(15, 21 47, 53)(16, 58, 48, 26)(19, 54, 51 22)(20, 32, 52, 64)(23, 
        27, 55, 59)(24, 30, 56, 62)
    (2, 35)(3, 34)(7, 10)(8, 41)(9, 40)(11 14)(12, 45)(13, 44)(19, 51)(20, 
        52)(21 26)(22, 62)(23, 32)(24, 56)(25, 57)(27, 59)(28, 60)(29, 61)(30, 
        54)(31 63)(39, 42)(43, 46)(53, 58)(55, 64)
    (5, 38)(6, 37)(7, 8)(9, 42)(10, 41)(11 12)(13, 46)(14, 45)(15, 16)(17, 
        18)(19, 56)(20, 52)(21 58)(22, 30)(23, 55)(24, 51)(25, 29)(26, 53)(27, 
        59)(28, 63)(31 60)(32, 64)(39, 40)(43, 44)(47, 48)(49, 50)(54, 62)(57, 
        61)
Automorphism group has centre of order: 4
Number of regular subgroups: 26
Number of regular subgroups containing zeta: 26
Number of centrally regular subgroups: 26
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 42> <64, 160>
<32, 43> <64, 182>
<32, 42> <64, 120>
<32, 40> <64, 96>
<32, 40> <64, 96>
<32, 43> <64, 158>
<32, 43> <64, 170>
<32, 43> <64, 121>
<32, 42> <64, 120>
<32, 39> <64, 181>
<32, 39> <64, 181>
<32, 43> <64, 158>
<32, 46> <64, 212>
<32, 49> <64, 239>
<32, 37> <64, 84>
<32, 38> <64, 127>
<32, 42> <64, 160>
<32, 41> <64, 132>
<32, 43> <64, 121>
<32, 40> <64, 129>
<32, 49> <64, 235>
<32, 48> <64, 210>
<32, 38> <64, 127>
<32, 36> <64, 112>
<32, 49> <64, 225>
<32, 48> <64, 233>
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 - 1 - - - - - 1 1 1 1 1 - 1 - 1 1 1 1 1 1 - - - - 1 1 - - - - ]
[ 1 - 1 - 1 1 1 1 - - - - 1 - 1 - - - - - 1 1 - - - - 1 1 1 1 1 1 ]
[ 1 1 1 1 - 1 - - - 1 - - - - 1 1 - - 1 1 - - - 1 - 1 1 1 1 - 1 - ]
[ 1 1 1 1 1 - - - 1 - - - 1 1 - - 1 - 1 - - - 1 - 1 - 1 1 - - 1 1 ]
[ 1 1 1 - - - 1 1 1 - - 1 - - 1 - - 1 - 1 - - 1 - 1 1 - 1 - 1 1 - ]
[ 1 1 - 1 1 - - 1 - - 1 1 - - - 1 - 1 - 1 - 1 - - 1 - 1 1 1 - - 1 ]
[ 1 - 1 1 - 1 1 - - - 1 1 1 - - - - 1 1 - - - - 1 1 1 1 - - 1 - 1 ]
[ 1 - - - 1 1 - - 1 - - 1 1 - 1 1 - 1 1 - - 1 1 1 1 - - - 1 - 1 - ]
[ 1 1 - - - - 1 - - - 1 - 1 1 1 1 - 1 - 1 1 - 1 1 - - 1 - - - 1 1 ]
[ 1 1 - - 1 1 1 - 1 1 1 - - - - - 1 1 - - 1 - - - 1 1 1 - 1 - 1 - ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 - 1 - - - 1 1 - 1 - 1 1 - 1 1 - - - 1 - 1 1 1 - - ]
[ 1 1 1 - 1 - - - - - 1 - 1 1 1 - 1 - - 1 - 1 - 1 1 1 - - 1 1 - - ]
[ 1 - - - 1 - 1 1 1 1 1 - 1 - - - - - 1 1 - - 1 1 - 1 - 1 1 - - 1 ]
[ 1 - 1 1 - - - 1 - 1 - - 1 - 1 1 1 1 - - 1 - 1 - 1 1 - - 1 - - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 1 - - - 1 - 1 - 1 - 1 - - 1 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 1 - - - - 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - 1 - 1 - 1 - 1 1 1 - - 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - - - 1 - 1 - 1 - 1 1 1 - - - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 1 - 1 - 1 - 1 - 1 1 - - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - - 1 1 - - 1 1 - 1 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - 1 - ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 1 - - 1 1 - - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 1024 = 2^10
    (1 47, 55, 17)(2, 18, 20, 16)(3, 19, 58, 22)(4, 8, 60, 9)(5, 43, 29, 10)(6,
        63, 39, 27)(7, 59, 38, 31)(11 61 42, 37)(12, 62, 13, 57)(14, 53, 32, 
        24)(15, 23, 49, 33)(21 64, 56, 46)(25, 44, 30, 45)(26, 54, 35, 51)(28, 
        41 36, 40)(34, 50, 52, 48)
    (1 3)(2, 32)(4, 31)(5, 25)(6, 10)(7, 11)(8, 12)(9, 13)(14, 20)(15, 21)(16, 
        19)(17, 24)(18, 22)(23, 26)(27, 28)(29, 30)(33, 35)(34, 64)(36, 63)(37, 
        57)(38, 42)(39, 43)(40, 44)(41 45)(46, 52)(47, 53)(48, 51)(49, 56)(50, 
        54)(55, 58)(59, 60)(61 62)
    (3, 26)(4, 61)(5, 28)(6, 38)(7, 39)(8, 9)(10, 43)(11 42)(12, 44)(13, 
        45)(14, 64)(15, 48)(16, 47)(17, 18)(19, 56)(21 22)(24, 51)(25, 31)(27, 
        62)(29, 36)(30, 59)(32, 46)(35, 58)(37, 60)(40, 41)(49, 50)(53, 54)(57, 
        63)
    (3, 61)(4, 32)(5, 58)(6, 17)(7, 47)(8, 42)(9, 43)(10, 40)(11 41)(12, 
        48)(13, 18)(14, 28)(15, 39)(16, 44)(19, 24)(20, 52)(21 22)(23, 55)(25, 
        57)(26, 37)(27, 59)(29, 35)(36, 64)(38, 49)(45, 50)(46, 60)(51 56)(53, 
        54)
    (3, 14)(4, 5)(6, 7)(8, 10)(9, 43)(11 41)(12, 45)(13, 44)(15, 49)(16, 
        18)(17, 47)(19, 24)(21 54)(22, 53)(25, 57)(26, 64)(27, 59)(28, 61)(29, 
        60)(30, 62)(31 63)(32, 58)(35, 46)(36, 37)(38, 39)(40, 42)(48, 50)(51,
     56)
Automorphism group has centre of order: 4
Number of regular subgroups: 113
Number of regular subgroups containing zeta: 113
Number of centrally regular subgroups: 112
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 23> <64, 65>
<32, 23> <64, 65>
<32, 23> <64, 59>
<32, 47> <64, 212>
<32, 23> <64, 63>
<32, 22> <64, 72>
<32, 45> <64, 197>
<32, 21> <64, 55>
<32, 48> <64, 208>
<32, 46> <64, 212>
<32, 25> <64, 59>
<32, 25> <64, 68>
<32, 29> <64, 76>
<32, 29> <64, 70>
<32, 2> <64, 24>
<32, 21> <64, 85>
<32, 23> <64, 109>
<32, 2> <64, 20>
<32, 2> <64, 20>
<32, 22> <64, 100>
<32, 2> <64, 24>
<32, 23> <64, 104>
<32, 2> <64, 20>
<32, 23> <64, 109>
<32, 23> <64, 109>
<32, 2> <64, 20>
<32, 25> <64, 68>
<32, 25> <64, 59>
<32, 30> <64, 69>
<32, 31> <64, 69>
<32, 33> <64, 78>
<32, 33> <64, 77>
<32, 30> <64, 79>
<32, 25> <64, 59>
<32, 29> <64, 72>
<32, 24> <64, 68>
<32, 30> <64, 69>
<32, 31> <64, 69>
<32, 30> <64, 79>
<32, 25> <64, 59>
<32, 33> <64, 78>
<32, 33> <64, 77>
<32, 29> <64, 72>
<32, 24> <64, 68>
<32, 25> <64, 66>
<32, 28> <64, 61>
<32, 28> <64, 70>
<32, 27> <64, 76>
<32, 29> <64, 66>
<32, 25> <64, 58>
<32, 30> <64, 81>
<32, 28> <64, 70>
<32, 30> <64, 69>
<32, 28> <64, 77>
<32, 25> <64, 70>
<32, 48> <64, 197>
<32, 28> <64, 75>
<32, 31> <64, 71>
<32, 28> <64, 77>
<32, 30> <64, 69>
<32, 29> <64, 76>
<32, 30> <64, 68>
<32, 35> <64, 72>
<32, 23> <64, 59>
<32, 22> <64, 72>
<32, 31> <64, 72>
<32, 30> <64, 68>
<32, 29> <64, 76>
<32, 24> <64, 59>
<32, 33> <64, 68>
<32, 26> <64, 72>
<32, 32> <64, 79>
<32, 29> <64, 68>
<32, 33> <64, 81>
<32, 32> <64, 70>
<32, 32> <64, 81>
<32, 27> <64, 76>
<32, 28> <64, 70>
<32, 30> <64, 81>
<32, 28> <64, 70>
<32, 25> <64, 66>
<32, 28> <64, 61>
<32, 25> <64, 58>
<32, 29> <64, 66>
<32, 32> <64, 79>
<32, 26> <64, 72>
<32, 32> <64, 70>
<32, 32> <64, 81>
<32, 24> <64, 59>
<32, 33> <64, 68>
<32, 33> <64, 81>
<32, 29> <64, 68>
<32, 24> <64, 64>
<32, 26> <64, 70>
<32, 32> <64, 63>
<32, 33> <64, 68>
<32, 32> <64, 63>
<32, 33> <64, 68>
<32, 29> <64, 76>
<32, 32> <64, 70>
<32, 28> <64, 143>
<32, 29> <64, 158>
<32, 29> <64, 156>
<32, 25> <64, 122>
<32, 25> <64, 120>
<32, 48> <64, 237>
<32, 25> <64, 115>
<32, 49> <64, 244>
<32, 28> <64, 148>
<32, 30> <64, 166>
<32, 30> <64, 166>
<32, 28> <64, 148>
<32, 31> <64, 168>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - 1 1 1 1 - - ]
[ 1 1 - 1 1 1 1 1 - 1 - - 1 - 1 - - 1 - - - 1 1 - - - 1 - - - 1 1 ]
[ 1 1 1 - 1 1 1 1 1 - - - - 1 - 1 1 - - - 1 - - 1 - - - 1 - - 1 1 ]
[ 1 - - - - - - - 1 1 1 - - 1 - 1 1 1 1 - - 1 1 - - 1 1 1 - - 1 1 ]
[ 1 - 1 1 1 1 1 1 - - 1 - - 1 - 1 - - 1 - - 1 1 - - 1 - - 1 1 - - ]
[ 1 1 1 1 1 - - - - - 1 - 1 1 - - - 1 1 - - - - 1 1 - 1 1 - 1 - 1 ]
[ 1 1 1 1 - 1 - - - - - 1 1 1 - - 1 - - 1 - - 1 - - 1 1 1 1 - 1 - ]
[ 1 1 1 1 - - - 1 - 1 - - - - 1 1 - 1 1 - 1 - - - 1 1 - 1 1 - 1 - ]
[ 1 1 1 1 - - 1 - 1 - - - - - 1 1 1 - - 1 - 1 - - 1 1 1 - - 1 - 1 ]
[ 1 - 1 - - - - 1 - - - 1 1 1 1 1 1 1 - - - 1 1 1 1 - - - - 1 1 - ]
[ 1 - 1 - 1 1 - 1 1 1 - 1 - - - - - - 1 1 - 1 - - 1 - 1 1 - 1 1 - ]
[ 1 - 1 - - 1 - - - 1 - - 1 1 1 1 - - 1 1 1 1 - 1 - - 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 1 - 1 1 1 - - - - 1 1 - - - - - 1 1 1 1 - 1 - - 1 ]
[ 1 - 1 1 1 - 1 - - 1 1 1 1 - - 1 1 1 - 1 1 1 - - - - - 1 - - - - ]
[ 1 - - - 1 - 1 - - 1 - - 1 - - 1 - - - 1 - - 1 1 1 1 - 1 1 1 1 1 ]
[ 1 1 - 1 - 1 - 1 1 1 1 - 1 - - 1 1 - 1 1 - - 1 1 1 - - - - - - - ]
[ 1 1 1 - 1 - 1 - 1 1 - 1 - 1 1 - - 1 1 1 - - 1 1 - 1 - - - - - - ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 256 = 2^8
    (1 42, 27, 43, 33, 10, 59, 11)(2, 17, 63, 48, 34, 49, 31 16)(3, 8, 26, 9, 
        35, 40, 58, 41)(4, 62, 5, 54, 36, 30, 37, 22)(6, 52, 7, 29, 38, 20, 39, 
        61)(12, 53, 13, 60, 44, 21 45, 28)(14, 25, 47, 55, 46, 57, 15, 23)(18, 
        24, 51 64, 50, 56, 19, 32)
    (1 52, 33, 20)(2, 53, 34, 21)(3, 54, 35, 22)(4, 40, 36, 8)(5, 41 37, 9)(6,
        11 38, 43)(7, 42, 39, 10)(12, 16, 44, 48)(13, 17, 45, 49)(14, 19, 46, 
        51)(15, 50, 47, 18)(23, 24, 55, 56)(25, 64, 57, 32)(26, 30, 58, 62)(27, 
        29, 59, 61)(28, 63, 60, 31)
    (2, 35)(3, 34)(4, 38)(5, 7)(6, 36)(8, 11)(9, 10)(12, 14)(13, 15)(16, 19)(17,
        50)(18, 49)(21 54)(22, 53)(23, 55)(24, 56)(26, 63)(27, 59)(28, 62)(29, 
        61)(30, 60)(31 58)(37, 39)(40, 43)(41 42)(44, 46)(45, 47)(48, 51)
    (4, 5)(6, 39)(7, 38)(8, 9)(10, 11)(12, 45)(13, 44)(14, 47)(15, 46)(16, 
        49)(17, 48)(18, 19)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31,
     63)(32, 64)(36, 37)(40, 41)(42, 43)(50, 51)
Automorphism group has centre of order: 2
Number of regular subgroups: 10
Number of regular subgroups containing zeta: 10
Number of centrally regular subgroups: 10
Expanded design is group developed 
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 46> <64, 252>
<32, 36> <64, 184>
<32, 9> <64, 43>
<32, 9> <64, 43>
<32, 36> <64, 184>
<32, 23> <64, 110>
<32, 39> <64, 188>
<32, 22> <64, 93>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 - - 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 - - - - 1 - - ]
[ 1 1 - 1 - 1 1 1 - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 - - - - 1 - ]
[ 1 - 1 1 - 1 1 1 - - - 1 1 1 - - - 1 1 - 1 - 1 1 - - 1 - - - 1 - ]
[ 1 - 1 - 1 1 1 - 1 - - 1 1 1 - 1 1 - - 1 - - 1 - 1 1 - - - - - 1 ]
[ 1 1 - - 1 1 1 - 1 1 1 - - 1 - - - 1 1 - 1 1 - - 1 - 1 - - - - 1 ]
[ 1 - 1 1 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - - 1 - 1 - - - 1 ]
[ 1 - 1 1 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - - - 1 - 1 - 1 - ]
[ 1 1 - 1 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - - 1 - - - 1 1 - - - 1 ]
[ 1 1 - 1 1 1 - - 1 - 1 1 - - 1 - 1 - 1 - 1 - 1 - - 1 - - 1 - 1 - ]
[ 1 1 1 - 1 1 - - - 1 - 1 - 1 1 - 1 1 - - - 1 1 1 - - - 1 - 1 - - ]
[ 1 1 1 1 - - 1 - - - 1 - 1 1 1 1 - - 1 - - 1 1 - 1 - - - 1 1 - - ]
[ 1 1 1 - - 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - - - - - 1 1 1 - - ]
[ 1 - - 1 - 1 - 1 1 - 1 - 1 1 1 - 1 1 - - - - - - 1 - - 1 - 1 1 1 ]
[ 1 - - - 1 - 1 1 1 1 - 1 - 1 1 1 - - 1 - - - - 1 - - - - 1 1 1 1 ]
[ 1 1 1 - - - - - - 1 1 1 1 - - 1 1 1 1 - - - - - - 1 1 - - 1 1 1 ]
[ 1 - 1 - - 1 - 1 - 1 1 - - - 1 - - 1 1 1 - - 1 1 1 1 - - 1 - - 1 ]
[ 1 - 1 - - - 1 - 1 1 1 - - - 1 1 1 - - - 1 - 1 1 1 - 1 1 - - 1 - ]
[ 1 1 - - - - 1 - 1 - - 1 1 - 1 - - 1 1 1 - 1 - 1 1 1 - 1 - - 1 - ]
[ 1 1 - - - 1 - 1 - - - 1 1 - 1 1 1 - - - 1 1 - 1 1 - 1 - 1 - - 1 ]
[ 1 - 1 - 1 - - 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 1 - 1 - ]
[ 1 - 1 1 - - - - 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - 1 1 - - 1 ]
[ 1 1 - - 1 - - 1 - 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - 1 1 - 1 - ]
[ 1 1 - 1 - - - - 1 - 1 1 - 1 - 1 - 1 - 1 - - 1 1 - - 1 1 1 - - 1 ]
[ 1 - - 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - 1 1 1 1 - - 1 - - ]
[ 1 - - 1 - - 1 1 1 1 - 1 - - - - 1 1 - - - 1 1 - 1 1 1 - 1 1 - - ]
[ 1 - - - 1 1 - 1 1 - 1 - 1 - - 1 - - 1 - - 1 1 1 - 1 1 1 - 1 - - ]
[ 1 - - - - 1 1 - - 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 1 - - ]
[ 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 ]
[ 1 - - - 1 - 1 - - - 1 - 1 - - - 1 1 - 1 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 - - 1 - 1 - - - 1 - 1 - - - 1 - - 1 1 1 1 1 - 1 - - 1 - 1 1 1 ]
[ 1 1 1 - - - - 1 1 - - - - 1 1 - - - - 1 1 1 1 - - 1 1 - - 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 98304 = 2^15 * 3
    (5, 41)(6, 39)(7, 38)(8, 40)(9, 37)(10, 42)(12, 44)(13, 45)(14, 48)(15, 
        29)(16, 46)(17, 24)(18, 19)(20, 22)(21 55)(23, 53)(25, 27)(26, 60)(28, 
        58)(31 63)(32, 64)(47, 61)(49, 56)(50, 51)(52, 54)(57, 59)
    (4, 36)(5, 41)(6, 7)(8, 40)(9, 37)(11 43)(13, 45)(14, 16)(15, 61)(18, 
        21)(19, 55)(20, 52)(22, 54)(23, 51)(25, 58)(26, 57)(27, 28)(29, 47)(31,
     63)(32, 64)(38, 39)(46, 48)(50, 53)(59, 60)
    (1 2)(3, 23, 4, 21)(5, 24, 6, 22)(7, 17, 9, 20)(8, 19, 10, 18)(11 30)(12, 
        31)(13, 32)(14, 26)(15, 27)(16, 28)(25, 29)(33, 34)(35, 55, 36, 53)(37, 
        56, 38, 54)(39, 49, 41 52)(40, 51 42, 50)(43, 62)(44, 63)(45, 64)(46, 
        58)(47, 59)(48, 60)(57, 61)
    (2, 3)(4, 11)(6, 7)(8, 13)(10, 12)(14, 16)(18, 27)(19, 25)(20, 22)(21,
     28)(23, 26)(31 32)(34, 35)(36, 43)(38, 39)(40, 45)(42, 44)(46, 48)(50, 
        59)(51 57)(52, 54)(53, 60)(55, 58)(63, 64)
    (3, 37, 40, 41 35, 5, 8, 9)(4, 38, 42, 39, 36, 6, 10, 7)(11 12, 43, 
        44)(13, 45)(14, 48, 15, 29)(16, 47, 61 46)(17, 53, 54, 18, 49, 21 22, 
        50)(19, 52, 23, 24, 51 20, 55, 56)(25, 26, 60, 27)(28, 59, 57, 58)(30, 
        31 62, 63)(32, 64)
    (3, 4)(5, 6)(7, 9)(8, 10)(17, 20)(18, 19)(21 23)(22, 24)(35, 36)(37, 
        38)(39, 41)(40, 42)(49, 52)(50, 51)(53, 55)(54, 56)
Automorphism group has centre of order: 2
Number of regular subgroups: 134
Number of regular subgroups containing zeta: 130
Number of centrally regular subgroups: 130
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 22> <64, 72>
<32, 46> <64, 212>
<32, 22> <64, 97>
<32, 46> <64, 255>
<32, 22> <64, 100>
<32, 46> <64, 252>
<32, 44> <64, 132>
<32, 44> <64, 164>
<32, 27> <64, 60>
<32, 27> <64, 66>
<32, 44> <64, 109>
<32, 44> <64, 100>
<32, 27> <64, 132>
<32, 27> <64, 131>
<32, 46> <64, 204>
<32, 22> <64, 58>
<32, 30> <64, 66>
<32, 30> <64, 62>
<32, 43> <64, 109>
<32, 43> <64, 99>
<32, 43> <64, 131>
<32, 43> <64, 165>
<32, 30> <64, 164>
<32, 30> <64, 165>
<32, 6> <64, 33>
<32, 46> <64, 255>
<32, 22> <64, 101>
<32, 22> <64, 102>
<32, 22> <64, 100>
<32, 22> <64, 101>
<32, 22> <64, 98>
<32, 11> <64, 20>
<32, 44> <64, 160>
<32, 43> <64, 182>
<32, 6> <64, 9>
<32, 44> <64, 122>
<32, 27> <64, 136>
<32, 43> <64, 158>
<32, 11> <64, 9>
<32, 46> <64, 217>
<32, 22> <64, 91>
<32, 6> <64, 35>
<32, 6> <64, 23>
<32, 22> <64, 94>
<32, 22> <64, 89>
<32, 39> <64, 181>
<32, 39> <64, 155>
<32, 40> <64, 156>
<32, 40> <64, 119>
<32, 38> <64, 86>
<32, 38> <64, 115>
<32, 38> <64, 116>
<32, 38> <64, 105>
<32, 43> <64, 121>
<32, 40> <64, 129>
<32, 40> <64, 96>
<32, 43> <64, 158>
<32, 43> <64, 163>
<32, 40> <64, 179>
<32, 40> <64, 157>
<32, 43> <64, 109>
<32, 6> <64, 23>
<32, 11> <64, 20>
<32, 27> <64, 76>
<32, 30> <64, 68>
<32, 37> <64, 117>
<32, 6> <64, 33>
<32, 22> <64, 88>
<32, 22> <64, 93>
<32, 24> <64, 69>
<32, 25> <64, 58>
<32, 25> <64, 66>
<32, 25> <64, 68>
<32, 29> <64, 76>
<32, 29> <64, 72>
<32, 25> <64, 59>
<32, 44> <64, 100>
<32, 42> <64, 160>
<32, 42> <64, 120>
<32, 44> <64, 132>
<32, 28> <64, 61>
<32, 30> <64, 78>
<32, 30> <64, 75>
<32, 28> <64, 67>
<32, 28> <64, 70>
<32, 31> <64, 72>
<32, 28> <64, 69>
<32, 31> <64, 74>
<32, 42> <64, 146>
<32, 44> <64, 166>
<32, 44> <64, 133>
<32, 42> <64, 148>
<32, 11> <64, 9>
<32, 6> <64, 9>
<32, 27> <64, 139>
<32, 27> <64, 132>
<32, 30> <64, 166>
<32, 6> <64, 32>
<32, 37> <64, 116>
<32, 24> <64, 114>
<32, 25> <64, 115>
<32, 25> <64, 116>
<32, 42> <64, 108>
<32, 44> <64, 149>
<32, 42> <64, 97>
<32, 44> <64, 151>
<32, 25> <64, 122>
<32, 29> <64, 156>
<32, 29> <64, 158>
<32, 25> <64, 120>
<32, 42> <64, 108>
<32, 44> <64, 182>
<32, 42> <64, 166>
<32, 44> <64, 156>
<32, 30> <64, 163>
<32, 28> <64, 146>
<32, 30> <64, 166>
<32, 28> <64, 148>
<32, 31> <64, 170>
<32, 28> <64, 145>
<32, 28> <64, 143>
<32, 31> <64, 168>
<32, 27> <64, 133>
<32, 27> <64, 132>
<32, 27> <64, 137>
<32, 27> <64, 132>
<32, 27> <64, 132>
<32, 6> <64, 33>
<32, 6> <64, 37>
<32, 27> <64, 136>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 - - - - 1 - - 1 - - 1 1 1 1 - - 1 - - - - - 1 1 1 - 1 1 1 1 ]
[ 1 1 - 1 - - - - - - 1 - 1 1 - - 1 1 - - 1 - 1 1 - - - 1 1 1 1 1 ]
[ 1 - 1 - 1 - - 1 - - - 1 - 1 - - - - 1 1 1 1 1 - 1 - - - 1 1 1 1 ]
[ 1 - 1 1 - - 1 - - 1 1 1 - 1 - 1 1 - 1 - 1 - 1 - 1 - 1 1 - - - - ]
[ 1 1 - 1 - 1 - - 1 - 1 - 1 1 1 - - - 1 1 1 1 1 - 1 1 - - - - - - ]
[ 1 1 1 - 1 - - 1 - - - 1 1 1 1 1 - 1 - - 1 - 1 1 - 1 1 - - - - - ]
[ 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 1 1 - 1 - 1 1 - - 1 - - - - ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - 1 1 - - ]
[ 1 - - - - 1 1 - 1 1 - - - 1 - 1 - 1 - 1 1 1 1 1 - - 1 - 1 1 - - ]
[ 1 - - 1 1 - - 1 - - 1 - - 1 1 1 1 - - 1 - 1 - - - 1 1 1 1 1 - - ]
[ 1 - 1 - - 1 - - 1 - - 1 - 1 1 - 1 1 1 - - - - 1 1 1 - 1 1 1 - - ]
[ 1 - - 1 1 1 - 1 1 - 1 - - 1 - 1 - 1 1 - - - - 1 1 - 1 - - - 1 1 ]
[ 1 - 1 1 - - 1 - - 1 1 1 - 1 1 - - 1 - 1 - 1 - 1 - 1 - - - - 1 1 ]
[ 1 - - - 1 1 1 1 1 1 - - - 1 1 - 1 - - - 1 - 1 - - 1 - 1 - - 1 1 ]
[ 1 1 1 - - 1 - - 1 - - 1 1 1 - 1 1 - - 1 - 1 - - - - 1 1 - - 1 1 ]
[ 1 1 1 1 1 1 1 - - - - - - - 1 1 1 1 1 1 1 - - - - - - - 1 - 1 - ]
[ 1 - - - - - - 1 1 1 1 1 1 - 1 1 1 1 1 - - 1 1 - - - - - 1 - 1 - ]
[ 1 - 1 - 1 1 1 - - - 1 - 1 - - 1 1 1 - - - 1 1 - 1 1 - - - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 - 1 1 - - - 1 1 - 1 1 - - - 1 1 1 - 1 - - 1 ]
[ 1 - - - 1 - 1 - 1 - 1 1 1 - - 1 - - - 1 1 - - 1 1 1 - 1 1 - 1 - ]
[ 1 - 1 1 - - 1 1 1 - - - 1 - 1 - - 1 - 1 - - 1 - 1 - 1 1 - 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 1 - 1 - 1 - 1 - 1 1 - 1 - - 1 - - 1 - 1 ]
[ 1 - 1 1 - 1 - 1 - 1 - - 1 - - 1 - - 1 - 1 1 - 1 - 1 - 1 - 1 1 - ]
[ 1 1 - - - 1 1 1 - - 1 1 - - - - 1 - 1 1 - - 1 1 - 1 1 - - 1 1 - ]
[ 1 1 - - 1 1 - - - 1 1 1 - - 1 - - 1 - - 1 1 - - 1 - 1 1 - 1 1 - ]
[ 1 1 - 1 1 - - - 1 1 - 1 - - - 1 - 1 1 1 - - 1 - - 1 - 1 - 1 - 1 ]
[ 1 1 1 - - - 1 1 1 - 1 - - - - - - 1 1 - 1 1 - - - 1 1 1 1 - - 1 ]
[ 1 - 1 - 1 1 - - - 1 1 - 1 - 1 - - - 1 1 - - 1 1 - - 1 1 1 - - 1 ]
[ 1 1 1 - - - - 1 1 1 1 - - - 1 1 1 - - 1 1 - - 1 1 - - - - 1 - 1 ]
[ 1 1 1 1 1 - - - 1 1 - - - - - - 1 - - - - 1 1 1 1 1 1 - 1 - 1 - ]
[ 1 1 - 1 - 1 1 1 - - - 1 - - 1 1 - - - - - 1 1 1 1 - - 1 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 10752 = 2^9 * 3 * 7
    (1 17, 12, 55, 13, 30, 47, 63, 33, 49, 44, 23, 45, 62, 15, 31)(2, 24, 14, 
        22, 7, 64, 3, 29, 34, 56, 46, 54, 39, 32, 35, 61)(4, 19, 38, 20, 40, 26,
        5, 57, 36, 51 6, 52, 8, 58, 37, 25)(9, 53, 48, 60, 11 59, 10, 50, 41     21 16, 28, 43, 27, 42, 18)
    (2, 3, 4)(5, 8, 7)(9, 10, 12)(13, 16, 15)(18, 31 21)(20, 29, 32)(23, 27, 
        30)(24, 25, 26)(34, 35, 36)(37, 40, 39)(41 42, 44)(45, 48, 47)(50, 63, 
        53)(52, 61 64)(55, 59, 62)(56, 57, 58)
    (3, 38)(4, 40)(5, 7)(6, 35)(8, 36)(9, 44)(10, 16)(11 13)(12, 41)(14, 
        46)(15, 47)(17, 26, 49, 58)(18, 22, 50, 54)(19, 28, 51 60)(20, 62, 52, 
        30)(21 25, 53, 57)(23, 56, 55, 24)(27, 29, 59, 61)(31 64, 63, 32)(37, 
        39)(42, 48)(43, 45)
    (3, 40, 39)(4, 37, 38)(5, 6, 36)(7, 35, 8)(9, 11 48)(10, 12, 45)(13, 42, 
        44)(16, 41 43)(17, 31 62)(18, 55, 59)(20, 58, 32)(22, 24, 61)(23, 27, 
        50)(26, 64, 52)(29, 54, 56)(30, 49, 63)
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26,
        58)(27, 59)(28, 60)(29, 61)(30, 62)(31 63)(32, 64)
    (17, 22)(18, 26)(19, 28)(20, 27)(21 25)(23, 32)(24, 31)(29, 30)(49, 54)(50,
        58)(51 60)(52, 59)(53, 57)(55, 64)(56, 63)(61 62)
Automorphism group has centre of order: 2
Number of regular subgroups: 48
Number of regular subgroups containing zeta: 48
Number of centrally regular subgroups: 48
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 28> <64, 151>
<32, 28> <64, 151>
<32, 46> <64, 252>
<32, 46> <64, 253>
<32, 28> <64, 151>
<32, 28> <64, 151>
<32, 46> <64, 253>
<32, 46> <64, 252>
<32, 27> <64, 133>
<32, 27> <64, 133>
<32, 27> <64, 132>
<32, 28> <64, 148>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 46> <64, 255>
<32, 25> <64, 120>
<32, 28> <64, 145>
<32, 28> <64, 143>
<32, 25> <64, 122>
<32, 28> <64, 145>
<32, 34> <64, 178>
<32, 34> <64, 176>
<32, 28> <64, 145>
<32, 28> <64, 143>
<32, 34> <64, 178>
<32, 34> <64, 175>
<32, 28> <64, 143>
<32, 25> <64, 120>
<32, 28> <64, 143>
<32, 28> <64, 145>
<32, 25> <64, 122>
<32, 36> <64, 184>
<32, 5> <64, 30>
<32, 36> <64, 184>
<32, 5> <64, 30>
<32, 39> <64, 191>
<32, 39> <64, 191>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 188>
<32, 39> <64, 191>
<32, 39> <64, 191>
<32, 27> <64, 132>
<32, 46> <64, 255>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 28> <64, 148>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 - 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - 1 - - - 1 1 - - 1 - ]
[ 1 1 1 - 1 - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 - - - 1 1 - - 1 - ]
[ 1 - 1 1 1 1 - 1 1 1 - - - 1 - - - 1 - 1 1 - - 1 - 1 - 1 - 1 - - ]
[ 1 1 - 1 1 1 - 1 - - 1 1 - 1 1 - 1 1 - - - - - 1 1 - 1 - 1 - - - ]
[ 1 1 - 1 1 - 1 - 1 1 - - 1 - - 1 - - 1 1 1 - - 1 1 - 1 - 1 - - - ]
[ 1 - 1 1 1 - 1 - - - 1 1 1 - 1 1 1 - 1 - - - - 1 - 1 - 1 - 1 - - ]
[ 1 1 1 - - 1 1 - 1 - - 1 1 - 1 - - 1 - - 1 1 - 1 1 1 - - - - 1 - ]
[ 1 1 1 - - - - 1 - 1 1 - - 1 - 1 1 - 1 1 - 1 - 1 1 1 - - - - 1 - ]
[ 1 - 1 1 - 1 1 1 - 1 1 - - - 1 - - - 1 - 1 1 1 - 1 - 1 - - 1 - - ]
[ 1 1 - 1 - 1 1 1 1 - - 1 - - - - 1 - 1 1 - 1 1 - - 1 - 1 1 - - - ]
[ 1 - 1 1 - - - - 1 - - 1 1 1 - 1 1 1 - 1 - 1 1 - 1 - 1 - - 1 - - ]
[ 1 1 - 1 - - - - - 1 1 - 1 1 1 1 - 1 - - 1 1 1 - - 1 - 1 1 - - - ]
[ 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - 1 - 1 - 1 - 1 1 - - 1 1 - - - 1 - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 - - 1 - 1 - 1 - - 1 1 - - 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 - - - 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 - ]
[ 1 - - - 1 - 1 1 1 1 1 1 1 1 - - - - - - - 1 1 1 - - - - 1 1 1 - ]
[ 1 - - - - 1 1 - 1 - 1 - - 1 - 1 1 - - - 1 - - - 1 1 1 1 1 1 1 - ]
[ 1 - - - - - - 1 - 1 - 1 1 - 1 - - 1 1 1 - - - - 1 1 1 1 1 1 1 - ]
[ 1 - 1 - 1 1 1 - - 1 - - 1 1 - - 1 1 1 - - 1 - - - 1 1 - 1 - - 1 ]
[ 1 1 - - 1 1 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 - - 1 - 1 - 1 ]
[ 1 - 1 - 1 - - 1 1 - 1 1 - - 1 1 - - - 1 1 1 - - - 1 1 - 1 - - 1 ]
[ 1 1 - - 1 - - - 1 1 - 1 - 1 1 - 1 - 1 - 1 1 - - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 1 1 1 - - 1 - 1 - 1 1 1 - - - 1 - - 1 - 1 1 - - - - 1 1 ]
[ 1 - - 1 1 - - 1 1 - 1 - 1 - - - 1 1 1 - 1 - 1 - 1 1 - - - - 1 1 ]
[ 1 - - 1 - 1 - - 1 1 1 1 - - - 1 - 1 1 - - 1 - 1 - - 1 1 - - 1 1 ]
[ 1 - - 1 - - 1 1 - - - - 1 1 1 - 1 - - 1 1 1 - 1 - - 1 1 - - 1 1 ]
[ 1 - 1 - - 1 - - 1 1 1 - 1 - 1 - 1 - - 1 - - 1 1 1 - - 1 1 - - 1 ]
[ 1 1 - - - 1 - 1 1 - - - 1 1 1 1 - - 1 - - - 1 1 - 1 1 - - 1 - 1 ]
[ 1 - 1 - - - 1 1 - - - 1 - 1 - 1 - 1 1 - 1 - 1 1 1 - - 1 1 - - 1 ]
[ 1 1 - - - - 1 - - 1 1 1 - - - - 1 1 - 1 1 - 1 1 - 1 1 - - 1 - 1 ]

Permutation group acting on a set of cardinality 64
Order = 98304 = 2^15 * 3
    (5, 37)(6, 38)(8, 40)(9, 41)(10, 42)(12, 44)(15, 47)(16, 48)(17, 58)(18, 
        57)(19, 28)(20, 27)(21 62)(22, 29)(23, 64)(24, 31)(25, 50)(26, 49)(30, 
        53)(32, 55)(51 60)(52, 59)(54, 61)(56, 63)
    (1 17, 48, 51)(2, 58, 40, 27)(3, 57, 41 28)(4, 61 39, 31)(5, 62, 37, 
        30)(6, 64, 38, 32)(7, 63, 36, 29)(8, 59, 34, 26)(9, 60, 35, 25)(10, 55, 
        44, 21)(11 56, 43, 24)(12, 53, 42, 23)(13, 54, 45, 22)(14, 18, 47, 
        52)(15, 20, 46, 50)(16, 19, 33, 49)
    (2, 4, 5, 3, 12, 11)(6, 8, 7, 13, 9, 10)(14, 16, 15)(18, 20, 19)(21 26, 32,
        29, 25, 22)(23, 27, 24, 31 28, 30)(34, 36, 37, 35, 44, 43)(38, 40, 39, 
        45, 41 42)(46, 48, 47)(50, 52, 51)(53, 58, 64, 61 57, 54)(55, 59, 56, 
        63, 60, 62)
    (3, 35)(4, 45)(5, 10, 37, 42)(6, 44, 38, 12)(7, 11)(8, 9, 40, 41)(13, 
        36)(14, 46)(15, 16, 47, 48)(17, 64, 58, 23)(18, 30, 57, 53)(19, 54, 28, 
        61)(20, 24, 27, 31)(21 50, 62, 25)(22, 60, 29, 51)(26, 55, 49, 32)(39, 
        43)(52, 56, 59, 63)
    (4, 37, 7, 38)(5, 39, 6, 36)(8, 41)(9, 40)(10, 13, 12, 11)(15, 48)(16, 
        47)(17, 26, 18, 25)(19, 59, 20, 60)(21 53)(22, 54)(23, 55)(24, 56)(27, 
        52, 28, 51)(29, 31)(30, 32)(42, 45, 44, 43)(49, 58, 50, 57)(61 63)(62, 
        64)
    (4, 42)(5, 11)(6, 13)(7, 44)(10, 36)(12, 39)(17, 49)(18, 50)(19, 51)(20, 
        52)(21 53)(22, 24)(23, 55)(25, 58)(26, 57)(27, 60)(28, 59)(29, 61)(30, 
        32)(31 63)(37, 43)(38, 45)(54, 56)(62, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 134
Number of regular subgroups containing zeta: 130
Number of centrally regular subgroups: 130
Expanded design is group developed 
<32, 27> <64, 131>
<32, 27> <64, 132>
<32, 44> <64, 164>
<32, 44> <64, 132>
<32, 44> <64, 100>
<32, 44> <64, 109>
<32, 27> <64, 60>
<32, 27> <64, 66>
<32, 22> <64, 58>
<32, 46> <64, 204>
<32, 30> <64, 62>
<32, 30> <64, 66>
<32, 43> <64, 99>
<32, 43> <64, 109>
<32, 46> <64, 212>
<32, 22> <64, 72>
<32, 46> <64, 255>
<32, 22> <64, 97>
<32, 22> <64, 100>
<32, 46> <64, 252>
<32, 43> <64, 131>
<32, 43> <64, 165>
<32, 30> <64, 165>
<32, 30> <64, 164>
<32, 40> <64, 119>
<32, 40> <64, 156>
<32, 39> <64, 155>
<32, 39> <64, 181>
<32, 38> <64, 115>
<32, 38> <64, 105>
<32, 38> <64, 86>
<32, 38> <64, 116>
<32, 40> <64, 129>
<32, 40> <64, 96>
<32, 43> <64, 158>
<32, 43> <64, 121>
<32, 43> <64, 163>
<32, 43> <64, 109>
<32, 40> <64, 157>
<32, 40> <64, 179>
<32, 6> <64, 23>
<32, 11> <64, 20>
<32, 30> <64, 68>
<32, 27> <64, 76>
<32, 24> <64, 69>
<32, 37> <64, 117>
<32, 6> <64, 33>
<32, 25> <64, 58>
<32, 25> <64, 66>
<32, 29> <64, 76>
<32, 29> <64, 72>
<32, 25> <64, 68>
<32, 25> <64, 59>
<32, 42> <64, 160>
<32, 44> <64, 100>
<32, 44> <64, 132>
<32, 42> <64, 120>
<32, 44> <64, 133>
<32, 42> <64, 148>
<32, 44> <64, 166>
<32, 42> <64, 146>
<32, 30> <64, 75>
<32, 28> <64, 67>
<32, 30> <64, 78>
<32, 28> <64, 61>
<32, 31> <64, 74>
<32, 28> <64, 69>
<32, 31> <64, 72>
<32, 28> <64, 70>
<32, 6> <64, 33>
<32, 6> <64, 35>
<32, 43> <64, 182>
<32, 44> <64, 160>
<32, 43> <64, 158>
<32, 44> <64, 122>
<32, 27> <64, 136>
<32, 11> <64, 9>
<32, 6> <64, 9>
<32, 6> <64, 23>
<32, 27> <64, 139>
<32, 11> <64, 20>
<32, 46> <64, 217>
<32, 22> <64, 91>
<32, 22> <64, 88>
<32, 22> <64, 93>
<32, 22> <64, 94>
<32, 22> <64, 89>
<32, 22> <64, 98>
<32, 22> <64, 101>
<32, 22> <64, 100>
<32, 22> <64, 102>
<32, 46> <64, 255>
<32, 22> <64, 101>
<32, 11> <64, 9>
<32, 6> <64, 9>
<32, 27> <64, 132>
<32, 30> <64, 166>
<32, 6> <64, 32>
<32, 37> <64, 116>
<32, 24> <64, 114>
<32, 25> <64, 116>
<32, 25> <64, 115>
<32, 28> <64, 148>
<32, 30> <64, 166>
<32, 30> <64, 163>
<32, 28> <64, 146>
<32, 28> <64, 143>
<32, 31> <64, 168>
<32, 31> <64, 170>
<32, 28> <64, 145>
<32, 42> <64, 108>
<32, 44> <64, 149>
<32, 44> <64, 151>
<32, 42> <64, 97>
<32, 44> <64, 156>
<32, 42> <64, 166>
<32, 44> <64, 182>
<32, 42> <64, 108>
<32, 25> <64, 122>
<32, 25> <64, 120>
<32, 29> <64, 158>
<32, 29> <64, 156>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 6> <64, 33>
<32, 6> <64, 37>
<32, 27> <64, 132>
<32, 27> <64, 136>
<32, 27> <64, 137>
<32, 27> <64, 132>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 - - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 - - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - - 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - - 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - - 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - - 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - 1 - - 1 1 - - 1 1 - - 1 1 ]
[ 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - - 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - - 1 1 1 1 - - - - 1 1 1 1 - - - 1 - 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 1 1 - - - - 1 1 1 1 - - - - 1 1 - 1 - 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - 1 - - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 - - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 - - - - 1 1 1 1 1 1 1 1 - - - - - - 1 - - 1 1 - - 1 1 - - 1 1 ]
[ 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]

Permutation group acting on a set of cardinality 64
Order = 917504 = 2^17 * 7
    (5, 38)(6, 37)(7, 40)(8, 39)(12, 45)(13, 44)(14, 47)(15, 46)(18, 63)(21,
     54)(22, 53)(23, 58)(24, 57)(25, 56)(26, 55)(31 50)
    (4, 36)(5, 6)(7, 8)(9, 41)(10, 42)(11 43)(12, 45)(13, 44)(14, 47)(15, 
        46)(18, 63)(19, 20)(21 53)(22, 54)(23, 26)(27, 59)(28, 61)(29, 60)(30, 
        62)(31 50)(37, 38)(39, 40)(51 52)(55, 58)
    (1 2)(3, 31 44, 24, 37, 22, 47, 60, 4, 62, 10, 26, 39, 52)(5, 54, 15, 28, 
        36, 30, 42, 58, 7, 20, 35, 63, 12, 56)(6, 21 14, 61 43, 59, 41 23, 8,
        51 48, 18, 13, 25)(9, 55, 40, 19, 16, 50, 45, 57, 38, 53, 46, 29, 11,
     27)(17, 64)(32, 49)(33, 34)
    (2, 3)(4, 9)(5, 8)(6, 7)(10, 11)(12, 14)(13, 15)(16, 17)(34, 35)(36, 41)(37,
        40)(38, 39)(42, 43)(44, 46)(45, 47)(48, 49)
    (3, 4, 13, 9, 5, 8, 15)(6, 7, 14, 16, 11 12, 10)(18, 30, 25, 26, 22, 20, 
        29)(19, 28, 31 27, 24, 23, 21)(35, 36, 45, 41 37, 40, 47)(38, 39, 46, 
        48, 43, 44, 42)(50, 62, 57, 58, 54, 52, 61)(51 60, 63, 59, 56, 55, 53)
    (4, 11)(9, 10)(12, 13)(14, 15)(23, 26)(24, 25)(27, 30)(28, 29)(36, 43)(41,
     42)(44, 45)(46, 47)(55, 58)(56, 57)(59, 62)(60, 61)
    (5, 6)(7, 8)(12, 13)(14, 15)(19, 20)(21 22)(24, 25)(28, 29)(37, 38)(39, 
        40)(44, 45)(46, 47)(51 52)(53, 54)(56, 57)(60, 61)
Automorphism group has centre of order: 4
Number of regular subgroups: 1567
Number of regular subgroups containing zeta: 1547
Number of centrally regular subgroups: 1543
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 47> <64, 212>
<32, 46> <64, 211>
<32, 46> <64, 212>
<32, 47> <64, 212>
<32, 47> <64, 208>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 48> <64, 196>
<32, 48> <64, 197>
<32, 45> <64, 196>
<32, 45> <64, 197>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 48> <64, 207>
<32, 48> <64, 208>
<32, 45> <64, 196>
<32, 45> <64, 197>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 46> <64, 213>
<32, 47> <64, 214>
<32, 46> <64, 213>
<32, 47> <64, 214>
<32, 46> <64, 196>
<32, 47> <64, 197>
<32, 48> <64, 207>
<32, 48> <64, 208>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 48> <64, 196>
<32, 48> <64, 197>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 46> <64, 196>
<32, 47> <64, 197>
<32, 46> <64, 213>
<32, 47> <64, 214>
<32, 46> <64, 213>
<32, 47> <64, 214>
<32, 46> <64, 207>
<32, 21> <64, 59>
<32, 47> <64, 239>
<32, 48> <64, 237>
<32, 48> <64, 240>
<32, 47> <64, 235>
<32, 47> <64, 238>
<32, 48> <64, 240>
<32, 48> <64, 237>
<32, 47> <64, 238>
<32, 47> <64, 235>
<32, 48> <64, 240>
<32, 48> <64, 237>
<32, 47> <64, 238>
<32, 47> <64, 235>
<32, 49> <64, 236>
<32, 49> <64, 231>
<32, 50> <64, 228>
<32, 50> <64, 237>
<32, 49> <64, 226>
<32, 49> <64, 235>
<32, 50> <64, 228>
<32, 50> <64, 230>
<32, 49> <64, 227>
<32, 49> <64, 234>
<32, 50> <64, 233>
<32, 50> <64, 229>
<32, 49> <64, 227>
<32, 49> <64, 234>
<32, 50> <64, 233>
<32, 50> <64, 229>
<32, 48> <64, 231>
<32, 48> <64, 238>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 195>
<32, 45> <64, 198>
<32, 48> <64, 210>
<32, 45> <64, 198>
<32, 45> <64, 192>
<32, 48> <64, 198>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 209>
<32, 45> <64, 195>
<32, 45> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 45> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 209>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 195>
<32, 48> <64, 198>
<32, 48> <64, 210>
<32, 49> <64, 231>
<32, 49> <64, 239>
<32, 50> <64, 238>
<32, 50> <64, 230>
<32, 49> <64, 240>
<32, 49> <64, 235>
<32, 50> <64, 237>
<32, 50> <64, 238>
<32, 49> <64, 235>
<32, 49> <64, 240>
<32, 50> <64, 238>
<32, 50> <64, 237>
<32, 49> <64, 240>
<32, 49> <64, 235>
<32, 50> <64, 237>
<32, 50> <64, 238>
<32, 48> <64, 240>
<32, 48> <64, 238>
<32, 48> <64, 235>
<32, 48> <64, 237>
<32, 48> <64, 235>
<32, 48> <64, 237>
<32, 48> <64, 240>
<32, 48> <64, 238>
<32, 48> <64, 240>
<32, 48> <64, 238>
<32, 48> <64, 235>
<32, 48> <64, 237>
<32, 46> <64, 231>
<32, 46> <64, 230>
<32, 47> <64, 239>
<32, 47> <64, 238>
<32, 47> <64, 204>
<32, 47> <64, 208>
<32, 48> <64, 205>
<32, 48> <64, 209>
<32, 47> <64, 194>
<32, 47> <64, 197>
<32, 48> <64, 196>
<32, 48> <64, 195>
<32, 47> <64, 204>
<32, 47> <64, 212>
<32, 48> <64, 208>
<32, 48> <64, 203>
<32, 47> <64, 204>
<32, 47> <64, 208>
<32, 48> <64, 205>
<32, 48> <64, 209>
<32, 48> <64, 234>
<32, 48> <64, 233>
<32, 46> <64, 227>
<32, 46> <64, 229>
<32, 48> <64, 234>
<32, 48> <64, 233>
<32, 46> <64, 227>
<32, 46> <64, 229>
<32, 48> <64, 228>
<32, 48> <64, 235>
<32, 46> <64, 230>
<32, 46> <64, 226>
<32, 48> <64, 236>
<32, 48> <64, 237>
<32, 46> <64, 231>
<32, 46> <64, 228>
<32, 46> <64, 226>
<32, 46> <64, 228>
<32, 47> <64, 230>
<32, 47> <64, 235>
<32, 48> <64, 229>
<32, 48> <64, 234>
<32, 48> <64, 227>
<32, 48> <64, 233>
<32, 48> <64, 227>
<32, 48> <64, 233>
<32, 48> <64, 229>
<32, 48> <64, 234>
<32, 48> <64, 231>
<32, 48> <64, 237>
<32, 48> <64, 228>
<32, 48> <64, 236>
<32, 46> <64, 205>
<32, 46> <64, 204>
<32, 48> <64, 208>
<32, 48> <64, 209>
<32, 46> <64, 204>
<32, 46> <64, 205>
<32, 48> <64, 209>
<32, 48> <64, 208>
<32, 46> <64, 196>
<32, 46> <64, 194>
<32, 48> <64, 197>
<32, 48> <64, 195>
<32, 46> <64, 203>
<32, 46> <64, 212>
<32, 48> <64, 204>
<32, 48> <64, 208>
<32, 48> <64, 204>
<32, 48> <64, 209>
<32, 48> <64, 208>
<32, 48> <64, 205>
<32, 48> <64, 204>
<32, 48> <64, 209>
<32, 48> <64, 208>
<32, 48> <64, 205>
<32, 45> <64, 194>
<32, 45> <64, 195>
<32, 45> <64, 197>
<32, 45> <64, 196>
<32, 46> <64, 204>
<32, 46> <64, 203>
<32, 47> <64, 212>
<32, 47> <64, 208>
<32, 47> <64, 230>
<32, 23> <64, 104>
<32, 23> <64, 104>
<32, 21> <64, 85>
<32, 21> <64, 85>
<32, 21> <64, 84>
<32, 21> <64, 83>
<32, 23> <64, 103>
<32, 23> <64, 103>
<32, 24> <64, 113>
<32, 24> <64, 112>
<32, 24> <64, 112>
<32, 24> <64, 113>
<32, 24> <64, 113>
<32, 24> <64, 112>
<32, 24> <64, 113>
<32, 24> <64, 112>
<32, 37> <64, 104>
<32, 37> <64, 85>
<32, 37> <64, 85>
<32, 37> <64, 104>
<32, 37> <64, 113>
<32, 37> <64, 112>
<32, 37> <64, 113>
<32, 37> <64, 112>
<32, 37> <64, 113>
<32, 37> <64, 113>
<32, 36> <64, 112>
<32, 36> <64, 112>
<32, 36> <64, 103>
<32, 36> <64, 83>
<32, 37> <64, 84>
<32, 37> <64, 103>
<32, 37> <64, 113>
<32, 37> <64, 103>
<32, 37> <64, 112>
<32, 37> <64, 104>
<32, 37> <64, 85>
<32, 37> <64, 113>
<32, 37> <64, 84>
<32, 37> <64, 113>
<32, 36> <64, 112>
<32, 36> <64, 103>
<32, 37> <64, 113>
<32, 37> <64, 104>
<32, 37> <64, 85>
<32, 37> <64, 112>
<32, 36> <64, 83>
<32, 36> <64, 112>
<32, 37> <64, 112>
<32, 37> <64, 113>
<32, 37> <64, 113>
<32, 37> <64, 112>
<32, 37> <64, 104>
<32, 37> <64, 85>
<32, 37> <64, 104>
<32, 37> <64, 85>
<32, 36> <64, 112>
<32, 36> <64, 112>
<32, 37> <64, 113>
<32, 37> <64, 113>
<32, 37> <64, 103>
<32, 37> <64, 84>
<32, 36> <64, 103>
<32, 36> <64, 83>
<32, 37> <64, 85>
<32, 37> <64, 112>
<32, 36> <64, 112>
<32, 36> <64, 83>
<32, 36> <64, 103>
<32, 36> <64, 112>
<32, 37> <64, 113>
<32, 37> <64, 104>
<32, 37> <64, 104>
<32, 37> <64, 112>
<32, 37> <64, 113>
<32, 37> <64, 103>
<32, 37> <64, 84>
<32, 37> <64, 113>
<32, 37> <64, 113>
<32, 37> <64, 85>
<32, 21> <64, 83>
<32, 21> <64, 84>
<32, 23> <64, 103>
<32, 23> <64, 103>
<32, 23> <64, 104>
<32, 23> <64, 104>
<32, 21> <64, 85>
<32, 21> <64, 85>
<32, 24> <64, 112>
<32, 24> <64, 113>
<32, 24> <64, 112>
<32, 24> <64, 113>
<32, 24> <64, 112>
<32, 24> <64, 113>
<32, 24> <64, 113>
<32, 24> <64, 112>
<32, 24> <64, 64>
<32, 24> <64, 59>
<32, 24> <64, 63>
<32, 24> <64, 57>
<32, 24> <64, 64>
<32, 24> <64, 59>
<32, 24> <64, 57>
<32, 24> <64, 63>
<32, 21> <64, 57>
<32, 21> <64, 55>
<32, 23> <64, 59>
<32, 23> <64, 59>
<32, 23> <64, 63>
<32, 23> <64, 65>
<32, 21> <64, 59>
<32, 47> <64, 235>
<32, 48> <64, 206>
<32, 48> <64, 210>
<32, 48> <64, 219>
<32, 48> <64, 220>
<32, 48> <64, 232>
<32, 48> <64, 234>
<32, 48> <64, 213>
<32, 48> <64, 210>
<32, 48> <64, 223>
<32, 48> <64, 221>
<32, 45> <64, 196>
<32, 45> <64, 198>
<32, 45> <64, 199>
<32, 45> <64, 201>
<32, 48> <64, 232>
<32, 48> <64, 234>
<32, 48> <64, 206>
<32, 48> <64, 210>
<32, 48> <64, 219>
<32, 48> <64, 220>
<32, 48> <64, 234>
<32, 48> <64, 240>
<32, 48> <64, 232>
<32, 48> <64, 232>
<32, 47> <64, 235>
<32, 47> <64, 235>
<32, 48> <64, 227>
<32, 48> <64, 233>
<32, 47> <64, 235>
<32, 47> <64, 230>
<32, 48> <64, 206>
<32, 48> <64, 210>
<32, 47> <64, 214>
<32, 47> <64, 204>
<32, 48> <64, 219>
<32, 48> <64, 220>
<32, 47> <64, 224>
<32, 47> <64, 225>
<32, 50> <64, 237>
<32, 50> <64, 228>
<32, 50> <64, 229>
<32, 50> <64, 233>
<32, 50> <64, 243>
<32, 50> <64, 244>
<32, 50> <64, 243>
<32, 50> <64, 244>
<32, 50> <64, 223>
<32, 50> <64, 220>
<32, 50> <64, 220>
<32, 50> <64, 223>
<32, 50> <64, 223>
<32, 50> <64, 217>
<32, 50> <64, 218>
<32, 50> <64, 222>
<32, 49> <64, 221>
<32, 49> <64, 225>
<32, 50> <64, 225>
<32, 50> <64, 222>
<32, 49> <64, 235>
<32, 49> <64, 234>
<32, 50> <64, 233>
<32, 50> <64, 238>
<32, 48> <64, 235>
<32, 48> <64, 233>
<32, 48> <64, 234>
<32, 48> <64, 238>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 48> <64, 208>
<32, 48> <64, 210>
<32, 49> <64, 244>
<32, 49> <64, 243>
<32, 50> <64, 245>
<32, 50> <64, 244>
<32, 49> <64, 220>
<32, 49> <64, 220>
<32, 50> <64, 222>
<32, 50> <64, 222>
<32, 48> <64, 222>
<32, 48> <64, 220>
<32, 48> <64, 222>
<32, 48> <64, 220>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 50> <64, 233>
<32, 50> <64, 237>
<32, 48> <64, 198>
<32, 47> <64, 197>
<32, 50> <64, 223>
<32, 50> <64, 222>
<32, 50> <64, 233>
<32, 50> <64, 237>
<32, 48> <64, 210>
<32, 47> <64, 214>
<32, 50> <64, 223>
<32, 50> <64, 222>
<32, 50> <64, 233>
<32, 50> <64, 237>
<32, 48> <64, 210>
<32, 47> <64, 214>
<32, 49> <64, 220>
<32, 49> <64, 220>
<32, 49> <64, 220>
<32, 49> <64, 220>
<32, 49> <64, 234>
<32, 49> <64, 235>
<32, 49> <64, 235>
<32, 49> <64, 234>
<32, 46> <64, 228>
<32, 48> <64, 233>
<32, 46> <64, 228>
<32, 48> <64, 233>
<32, 49> <64, 234>
<32, 49> <64, 235>
<32, 49> <64, 234>
<32, 49> <64, 235>
<32, 49> <64, 201>
<32, 49> <64, 201>
<32, 49> <64, 218>
<32, 49> <64, 225>
<32, 46> <64, 228>
<32, 48> <64, 233>
<32, 46> <64, 228>
<32, 48> <64, 233>
<32, 48> <64, 222>
<32, 48> <64, 220>
<32, 48> <64, 220>
<32, 48> <64, 222>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 49> <64, 220>
<32, 49> <64, 220>
<32, 50> <64, 222>
<32, 50> <64, 222>
<32, 49> <64, 244>
<32, 49> <64, 243>
<32, 50> <64, 244>
<32, 50> <64, 245>
<32, 48> <64, 234>
<32, 48> <64, 238>
<32, 48> <64, 233>
<32, 48> <64, 235>
<32, 48> <64, 210>
<32, 48> <64, 208>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 49> <64, 234>
<32, 49> <64, 235>
<32, 50> <64, 233>
<32, 50> <64, 238>
<32, 49> <64, 221>
<32, 49> <64, 225>
<32, 50> <64, 222>
<32, 50> <64, 225>
<32, 49> <64, 223>
<32, 49> <64, 225>
<32, 49> <64, 225>
<32, 49> <64, 223>
<32, 49> <64, 244>
<32, 49> <64, 244>
<32, 49> <64, 244>
<32, 49> <64, 244>
<32, 46> <64, 217>
<32, 46> <64, 217>
<32, 48> <64, 222>
<32, 48> <64, 222>
<32, 46> <64, 228>
<32, 46> <64, 230>
<32, 48> <64, 238>
<32, 48> <64, 237>
<32, 49> <64, 235>
<32, 49> <64, 235>
<32, 49> <64, 239>
<32, 49> <64, 236>
<32, 49> <64, 223>
<32, 49> <64, 225>
<32, 49> <64, 223>
<32, 49> <64, 225>
<32, 46> <64, 230>
<32, 46> <64, 228>
<32, 48> <64, 238>
<32, 48> <64, 237>
<32, 46> <64, 213>
<32, 46> <64, 212>
<32, 48> <64, 214>
<32, 48> <64, 214>
<32, 46> <64, 227>
<32, 46> <64, 227>
<32, 48> <64, 234>
<32, 48> <64, 234>
<32, 46> <64, 226>
<32, 46> <64, 228>
<32, 48> <64, 234>
<32, 48> <64, 229>
<32, 48> <64, 206>
<32, 48> <64, 210>
<32, 46> <64, 213>
<32, 46> <64, 203>
<32, 48> <64, 219>
<32, 48> <64, 220>
<32, 46> <64, 215>
<32, 46> <64, 218>
<32, 49> <64, 221>
<32, 49> <64, 219>
<32, 49> <64, 219>
<32, 49> <64, 221>
<32, 49> <64, 216>
<32, 49> <64, 223>
<32, 49> <64, 221>
<32, 49> <64, 218>
<32, 49> <64, 231>
<32, 49> <64, 236>
<32, 49> <64, 234>
<32, 49> <64, 227>
<32, 49> <64, 241>
<32, 49> <64, 243>
<32, 49> <64, 241>
<32, 49> <64, 243>
<32, 49> <64, 241>
<32, 49> <64, 241>
<32, 50> <64, 243>
<32, 50> <64, 243>
<32, 49> <64, 215>
<32, 49> <64, 219>
<32, 50> <64, 220>
<32, 50> <64, 218>
<32, 48> <64, 227>
<32, 48> <64, 234>
<32, 48> <64, 234>
<32, 48> <64, 227>
<32, 48> <64, 221>
<32, 48> <64, 219>
<32, 48> <64, 221>
<32, 48> <64, 219>
<32, 48> <64, 228>
<32, 48> <64, 233>
<32, 48> <64, 228>
<32, 48> <64, 233>
<32, 48> <64, 228>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 48> <64, 228>
<32, 48> <64, 235>
<32, 48> <64, 234>
<32, 48> <64, 235>
<32, 48> <64, 234>
<32, 48> <64, 235>
<32, 48> <64, 234>
<32, 48> <64, 235>
<32, 48> <64, 234>
<32, 48> <64, 220>
<32, 48> <64, 220>
<32, 48> <64, 220>
<32, 48> <64, 220>
<32, 45> <64, 201>
<32, 45> <64, 201>
<32, 46> <64, 218>
<32, 47> <64, 225>
<32, 49> <64, 223>
<32, 49> <64, 223>
<32, 49> <64, 220>
<32, 49> <64, 220>
<32, 49> <64, 243>
<32, 49> <64, 244>
<32, 49> <64, 244>
<32, 49> <64, 243>
<32, 48> <64, 223>
<32, 48> <64, 222>
<32, 46> <64, 217>
<32, 46> <64, 218>
<32, 48> <64, 237>
<32, 48> <64, 233>
<32, 46> <64, 228>
<32, 46> <64, 229>
<32, 49> <64, 219>
<32, 49> <64, 225>
<32, 49> <64, 220>
<32, 49> <64, 224>
<32, 49> <64, 235>
<32, 49> <64, 232>
<32, 49> <64, 235>
<32, 49> <64, 232>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 46> <64, 206>
<32, 46> <64, 204>
<32, 48> <64, 235>
<32, 48> <64, 233>
<32, 46> <64, 230>
<32, 46> <64, 227>
<32, 49> <64, 221>
<32, 50> <64, 223>
<32, 49> <64, 199>
<32, 50> <64, 201>
<32, 48> <64, 234>
<32, 48> <64, 240>
<32, 48> <64, 227>
<32, 48> <64, 235>
<32, 48> <64, 210>
<32, 48> <64, 213>
<32, 48> <64, 196>
<32, 48> <64, 198>
<32, 49> <64, 219>
<32, 50> <64, 220>
<32, 49> <64, 219>
<32, 50> <64, 220>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 48> <64, 198>
<32, 48> <64, 197>
<32, 48> <64, 214>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 48> <64, 229>
<32, 48> <64, 238>
<32, 48> <64, 237>
<32, 48> <64, 233>
<32, 48> <64, 237>
<32, 48> <64, 233>
<32, 48> <64, 233>
<32, 48> <64, 237>
<32, 49> <64, 223>
<32, 50> <64, 222>
<32, 49> <64, 201>
<32, 50> <64, 200>
<32, 49> <64, 223>
<32, 50> <64, 222>
<32, 49> <64, 223>
<32, 50> <64, 222>
<32, 50> <64, 228>
<32, 50> <64, 238>
<32, 50> <64, 230>
<32, 50> <64, 237>
<32, 50> <64, 217>
<32, 50> <64, 222>
<32, 50> <64, 217>
<32, 50> <64, 222>
<32, 48> <64, 228>
<32, 48> <64, 237>
<32, 47> <64, 230>
<32, 47> <64, 238>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 47> <64, 212>
<32, 47> <64, 214>
<32, 50> <64, 223>
<32, 50> <64, 225>
<32, 50> <64, 225>
<32, 50> <64, 223>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 48> <64, 223>
<32, 48> <64, 223>
<32, 47> <64, 225>
<32, 47> <64, 225>
<32, 48> <64, 236>
<32, 48> <64, 235>
<32, 47> <64, 239>
<32, 47> <64, 235>
<32, 48> <64, 229>
<32, 48> <64, 237>
<32, 48> <64, 228>
<32, 48> <64, 233>
<32, 48> <64, 232>
<32, 48> <64, 235>
<32, 48> <64, 235>
<32, 48> <64, 232>
<32, 48> <64, 206>
<32, 48> <64, 214>
<32, 48> <64, 204>
<32, 48> <64, 210>
<32, 48> <64, 220>
<32, 48> <64, 223>
<32, 48> <64, 220>
<32, 48> <64, 223>
<32, 50> <64, 217>
<32, 50> <64, 222>
<32, 49> <64, 218>
<32, 49> <64, 223>
<32, 50> <64, 220>
<32, 50> <64, 225>
<32, 49> <64, 224>
<32, 49> <64, 219>
<32, 49> <64, 227>
<32, 49> <64, 235>
<32, 50> <64, 230>
<32, 50> <64, 233>
<32, 49> <64, 243>
<32, 49> <64, 243>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 47> <64, 208>
<32, 47> <64, 214>
<32, 48> <64, 221>
<32, 48> <64, 222>
<32, 47> <64, 225>
<32, 47> <64, 225>
<32, 47> <64, 235>
<32, 47> <64, 238>
<32, 48> <64, 233>
<32, 48> <64, 234>
<32, 47> <64, 235>
<32, 47> <64, 238>
<32, 48> <64, 234>
<32, 48> <64, 233>
<32, 50> <64, 233>
<32, 50> <64, 233>
<32, 50> <64, 233>
<32, 50> <64, 233>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 50> <64, 243>
<32, 50> <64, 245>
<32, 50> <64, 222>
<32, 50> <64, 220>
<32, 50> <64, 220>
<32, 50> <64, 222>
<32, 50> <64, 220>
<32, 50> <64, 222>
<32, 50> <64, 220>
<32, 50> <64, 222>
<32, 48> <64, 232>
<32, 48> <64, 234>
<32, 48> <64, 232>
<32, 48> <64, 234>
<32, 48> <64, 206>
<32, 48> <64, 210>
<32, 48> <64, 206>
<32, 48> <64, 210>
<32, 48> <64, 236>
<32, 48> <64, 235>
<32, 47> <64, 235>
<32, 47> <64, 239>
<32, 48> <64, 213>
<32, 48> <64, 214>
<32, 47> <64, 214>
<32, 47> <64, 212>
<32, 48> <64, 237>
<32, 48> <64, 233>
<32, 45> <64, 198>
<32, 45> <64, 197>
<32, 45> <64, 201>
<32, 45> <64, 200>
<32, 48> <64, 237>
<32, 48> <64, 233>
<32, 48> <64, 214>
<32, 48> <64, 210>
<32, 48> <64, 223>
<32, 48> <64, 222>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 48> <64, 223>
<32, 48> <64, 222>
<32, 48> <64, 233>
<32, 48> <64, 237>
<32, 48> <64, 210>
<32, 48> <64, 214>
<32, 48> <64, 223>
<32, 48> <64, 222>
<32, 46> <64, 229>
<32, 47> <64, 238>
<32, 50> <64, 228>
<32, 50> <64, 238>
<32, 50> <64, 237>
<32, 50> <64, 230>
<32, 50> <64, 223>
<32, 50> <64, 225>
<32, 50> <64, 223>
<32, 50> <64, 225>
<32, 48> <64, 223>
<32, 48> <64, 223>
<32, 47> <64, 225>
<32, 47> <64, 225>
<32, 48> <64, 228>
<32, 48> <64, 237>
<32, 47> <64, 238>
<32, 47> <64, 230>
<32, 50> <64, 228>
<32, 50> <64, 233>
<32, 50> <64, 220>
<32, 50> <64, 220>
<32, 47> <64, 235>
<32, 48> <64, 234>
<32, 50> <64, 201>
<32, 50> <64, 201>
<32, 50> <64, 228>
<32, 50> <64, 233>
<32, 47> <64, 235>
<32, 48> <64, 234>
<32, 50> <64, 233>
<32, 50> <64, 228>
<32, 50> <64, 218>
<32, 50> <64, 225>
<32, 47> <64, 235>
<32, 48> <64, 234>
<32, 50> <64, 220>
<32, 50> <64, 220>
<32, 50> <64, 228>
<32, 50> <64, 233>
<32, 47> <64, 235>
<32, 48> <64, 234>
<32, 50> <64, 237>
<32, 50> <64, 233>
<32, 49> <64, 232>
<32, 49> <64, 234>
<32, 50> <64, 220>
<32, 50> <64, 222>
<32, 49> <64, 219>
<32, 49> <64, 223>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 48> <64, 209>
<32, 48> <64, 232>
<32, 48> <64, 233>
<32, 48> <64, 234>
<32, 48> <64, 237>
<32, 50> <64, 223>
<32, 50> <64, 222>
<32, 49> <64, 220>
<32, 49> <64, 219>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 49> <64, 244>
<32, 49> <64, 241>
<32, 48> <64, 232>
<32, 48> <64, 237>
<32, 48> <64, 233>
<32, 48> <64, 234>
<32, 48> <64, 220>
<32, 48> <64, 223>
<32, 48> <64, 222>
<32, 48> <64, 219>
<32, 48> <64, 232>
<32, 48> <64, 233>
<32, 48> <64, 234>
<32, 48> <64, 237>
<32, 48> <64, 210>
<32, 48> <64, 209>
<32, 48> <64, 210>
<32, 48> <64, 210>
<32, 50> <64, 220>
<32, 50> <64, 222>
<32, 49> <64, 219>
<32, 49> <64, 223>
<32, 50> <64, 233>
<32, 50> <64, 237>
<32, 49> <64, 234>
<32, 49> <64, 232>
<32, 48> <64, 220>
<32, 48> <64, 223>
<32, 48> <64, 222>
<32, 48> <64, 219>
<32, 48> <64, 234>
<32, 48> <64, 233>
<32, 48> <64, 237>
<32, 48> <64, 232>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 49> <64, 244>
<32, 49> <64, 241>
<32, 50> <64, 223>
<32, 50> <64, 222>
<32, 49> <64, 220>
<32, 49> <64, 219>
<32, 49> <64, 243>
<32, 49> <64, 241>
<32, 49> <64, 241>
<32, 49> <64, 243>
<32, 49> <64, 215>
<32, 49> <64, 220>
<32, 49> <64, 218>
<32, 49> <64, 219>
<32, 48> <64, 221>
<32, 48> <64, 223>
<32, 46> <64, 218>
<32, 46> <64, 216>
<32, 48> <64, 228>
<32, 48> <64, 234>
<32, 46> <64, 226>
<32, 46> <64, 229>
<32, 49> <64, 221>
<32, 49> <64, 221>
<32, 49> <64, 219>
<32, 49> <64, 219>
<32, 49> <64, 227>
<32, 49> <64, 234>
<32, 49> <64, 227>
<32, 49> <64, 234>
<32, 48> <64, 234>
<32, 48> <64, 236>
<32, 46> <64, 227>
<32, 46> <64, 231>
<32, 48> <64, 213>
<32, 48> <64, 210>
<32, 46> <64, 203>
<32, 46> <64, 206>
<32, 50> <64, 217>
<32, 50> <64, 222>
<32, 50> <64, 222>
<32, 50> <64, 217>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 50> <64, 244>
<32, 49> <64, 216>
<32, 49> <64, 221>
<32, 50> <64, 218>
<32, 50> <64, 223>
<32, 49> <64, 226>
<32, 49> <64, 234>
<32, 50> <64, 229>
<32, 50> <64, 228>
<32, 48> <64, 210>
<32, 46> <64, 213>
<32, 49> <64, 221>
<32, 49> <64, 223>
<32, 49> <64, 232>
<32, 49> <64, 234>
<32, 48> <64, 198>
<32, 46> <64, 196>
<32, 49> <64, 199>
<32, 49> <64, 201>
<32, 49> <64, 234>
<32, 49> <64, 232>
<32, 48> <64, 210>
<32, 46> <64, 206>
<32, 49> <64, 227>
<32, 49> <64, 235>
<32, 49> <64, 220>
<32, 49> <64, 219>
<32, 48> <64, 210>
<32, 46> <64, 206>
<32, 49> <64, 240>
<32, 49> <64, 234>
<32, 49> <64, 219>
<32, 49> <64, 220>
<32, 48> <64, 203>
<32, 48> <64, 210>
<32, 48> <64, 206>
<32, 48> <64, 213>
<32, 48> <64, 231>
<32, 48> <64, 234>
<32, 48> <64, 227>
<32, 48> <64, 236>
<32, 50> <64, 223>
<32, 50> <64, 222>
<32, 50> <64, 229>
<32, 50> <64, 238>
<32, 48> <64, 210>
<32, 47> <64, 214>
<32, 50> <64, 200>
<32, 50> <64, 201>
<32, 46> <64, 227>
<32, 31> <64, 168>
<32, 31> <64, 167>
<32, 35> <64, 179>
<32, 35> <64, 181>
<32, 28> <64, 143>
<32, 28> <64, 141>
<32, 29> <64, 156>
<32, 29> <64, 158>
<32, 28> <64, 143>
<32, 28> <64, 141>
<32, 29> <64, 156>
<32, 29> <64, 158>
<32, 46> <64, 252>
<32, 46> <64, 251>
<32, 22> <64, 96>
<32, 22> <64, 96>
<32, 43> <64, 165>
<32, 43> <64, 131>
<32, 44> <64, 132>
<32, 44> <64, 164>
<32, 39> <64, 155>
<32, 39> <64, 140>
<32, 40> <64, 142>
<32, 40> <64, 157>
<32, 39> <64, 140>
<32, 39> <64, 155>
<32, 40> <64, 157>
<32, 40> <64, 142>
<32, 40> <64, 168>
<32, 40> <64, 173>
<32, 41> <64, 175>
<32, 41> <64, 168>
<32, 39> <64, 107>
<32, 39> <64, 95>
<32, 40> <64, 96>
<32, 40> <64, 106>
<32, 43> <64, 165>
<32, 43> <64, 131>
<32, 44> <64, 132>
<32, 44> <64, 164>
<32, 43> <64, 109>
<32, 43> <64, 99>
<32, 44> <64, 109>
<32, 44> <64, 100>
<32, 39> <64, 167>
<32, 39> <64, 181>
<32, 40> <64, 168>
<32, 40> <64, 179>
<32, 43> <64, 141>
<32, 43> <64, 158>
<32, 44> <64, 143>
<32, 44> <64, 156>
<32, 39> <64, 181>
<32, 39> <64, 167>
<32, 40> <64, 179>
<32, 40> <64, 168>
<32, 39> <64, 167>
<32, 39> <64, 181>
<32, 40> <64, 168>
<32, 40> <64, 179>
<32, 40> <64, 156>
<32, 40> <64, 141>
<32, 41> <64, 158>
<32, 41> <64, 143>
<32, 39> <64, 167>
<32, 39> <64, 174>
<32, 40> <64, 167>
<32, 40> <64, 173>
<32, 43> <64, 158>
<32, 43> <64, 141>
<32, 44> <64, 156>
<32, 44> <64, 143>
<32, 43> <64, 128>
<32, 43> <64, 162>
<32, 44> <64, 129>
<32, 44> <64, 161>
<32, 40> <64, 141>
<32, 40> <64, 156>
<32, 41> <64, 143>
<32, 41> <64, 158>
<32, 43> <64, 128>
<32, 43> <64, 162>
<32, 44> <64, 129>
<32, 44> <64, 161>
<32, 43> <64, 99>
<32, 43> <64, 109>
<32, 44> <64, 100>
<32, 44> <64, 109>
<32, 43> <64, 157>
<32, 43> <64, 140>
<32, 44> <64, 142>
<32, 44> <64, 155>
<32, 39> <64, 167>
<32, 39> <64, 181>
<32, 40> <64, 179>
<32, 40> <64, 168>
<32, 43> <64, 171>
<32, 43> <64, 182>
<32, 44> <64, 182>
<32, 44> <64, 172>
<32, 40> <64, 95>
<32, 40> <64, 106>
<32, 41> <64, 107>
<32, 41> <64, 96>
<32, 43> <64, 171>
<32, 43> <64, 182>
<32, 44> <64, 182>
<32, 44> <64, 172>
<32, 43> <64, 140>
<32, 43> <64, 157>
<32, 44> <64, 155>
<32, 44> <64, 142>
<32, 34> <64, 175>
<32, 34> <64, 173>
<32, 31> <64, 168>
<32, 31> <64, 168>
<32, 27> <64, 131>
<32, 27> <64, 132>
<32, 30> <64, 164>
<32, 30> <64, 165>
<32, 22> <64, 96>
<32, 22> <64, 95>
<32, 23> <64, 107>
<32, 23> <64, 106>
<32, 27> <64, 131>
<32, 27> <64, 132>
<32, 30> <64, 164>
<32, 30> <64, 165>
<32, 28> <64, 78>
<32, 28> <64, 73>
<32, 29> <64, 80>
<32, 29> <64, 74>
<32, 34> <64, 65>
<32, 34> <64, 71>
<32, 31> <64, 63>
<32, 31> <64, 72>
<32, 46> <64, 204>
<32, 46> <64, 203>
<32, 22> <64, 61>
<32, 22> <64, 61>
<32, 27> <64, 76>
<32, 27> <64, 75>
<32, 30> <64, 79>
<32, 30> <64, 81>
<32, 28> <64, 79>
<32, 28> <64, 75>
<32, 29> <64, 76>
<32, 29> <64, 81>
<32, 28> <64, 70>
<32, 28> <64, 71>
<32, 29> <64, 72>
<32, 29> <64, 70>
<32, 34> <64, 65>
<32, 34> <64, 71>
<32, 31> <64, 63>
<32, 31> <64, 72>
<32, 31> <64, 81>
<32, 31> <64, 75>
<32, 35> <64, 79>
<32, 35> <64, 76>
<32, 27> <64, 73>
<32, 27> <64, 74>
<32, 30> <64, 80>
<32, 30> <64, 78>
<32, 46> <64, 207>
<32, 46> <64, 212>
<32, 22> <64, 72>
<32, 22> <64, 72>
<32, 28> <64, 71>
<32, 28> <64, 70>
<32, 29> <64, 70>
<32, 29> <64, 72>
<32, 34> <64, 73>
<32, 34> <64, 80>
<32, 31> <64, 78>
<32, 31> <64, 74>
<32, 37> <64, 127>
<32, 37> <64, 127>
<32, 37> <64, 127>
<32, 36> <64, 126>
<32, 25> <64, 122>
<32, 25> <64, 121>
<32, 25> <64, 120>
<32, 25> <64, 119>
<32, 28> <64, 145>
<32, 29> <64, 160>
<32, 26> <64, 127>
<32, 25> <64, 117>
<32, 25> <64, 116>
<32, 25> <64, 115>
<32, 27> <64, 132>
<32, 27> <64, 129>
<32, 27> <64, 132>
<32, 27> <64, 129>
<32, 46> <64, 255>
<32, 22> <64, 100>
<32, 25> <64, 116>
<32, 24> <64, 68>
<32, 21> <64, 59>
<32, 24> <64, 68>
<32, 23> <64, 70>
<32, 26> <64, 70>
<32, 26> <64, 59>
<32, 26> <64, 68>
<32, 26> <64, 68>
<32, 25> <64, 68>
<32, 25> <64, 70>
<32, 25> <64, 59>
<32, 25> <64, 68>
<32, 26> <64, 127>
<32, 26> <64, 127>
<32, 43> <64, 149>
<32, 44> <64, 151>
<32, 42> <64, 166>
<32, 42> <64, 133>
<32, 42> <64, 148>
<32, 42> <64, 146>
<32, 43> <64, 159>
<32, 43> <64, 144>
<32, 43> <64, 121>
<32, 43> <64, 123>
<32, 39> <64, 118>
<32, 40> <64, 119>
<32, 39> <64, 118>
<32, 40> <64, 119>
<32, 43> <64, 144>
<32, 43> <64, 159>
<32, 43> <64, 123>
<32, 43> <64, 121>
<32, 40> <64, 142>
<32, 41> <64, 143>
<32, 44> <64, 143>
<32, 44> <64, 142>
<32, 44> <64, 172>
<32, 44> <64, 178>
<32, 43> <64, 109>
<32, 43> <64, 98>
<32, 43> <64, 165>
<32, 43> <64, 162>
<32, 39> <64, 161>
<32, 40> <64, 164>
<32, 43> <64, 149>
<32, 44> <64, 151>
<32, 42> <64, 148>
<32, 42> <64, 146>
<32, 42> <64, 166>
<32, 42> <64, 133>
<32, 38> <64, 115>
<32, 38> <64, 116>
<32, 38> <64, 117>
<32, 42> <64, 166>
<32, 42> <64, 163>
<32, 42> <64, 108>
<32, 42> <64, 97>
<32, 43> <64, 163>
<32, 44> <64, 166>
<32, 43> <64, 170>
<32, 43> <64, 182>
<32, 43> <64, 157>
<32, 43> <64, 158>
<32, 39> <64, 155>
<32, 40> <64, 156>
<32, 42> <64, 119>
<32, 42> <64, 120>
<32, 42> <64, 145>
<32, 42> <64, 160>
<32, 43> <64, 121>
<32, 44> <64, 122>
<32, 43> <64, 182>
<32, 43> <64, 170>
<32, 43> <64, 158>
<32, 43> <64, 157>
<32, 39> <64, 155>
<32, 40> <64, 156>
<32, 43> <64, 157>
<32, 43> <64, 158>
<32, 43> <64, 170>
<32, 43> <64, 182>
<32, 39> <64, 155>
<32, 40> <64, 156>
<32, 44> <64, 160>
<32, 44> <64, 145>
<32, 44> <64, 122>
<32, 44> <64, 121>
<32, 40> <64, 119>
<32, 41> <64, 120>
<32, 38> <64, 116>
<32, 43> <64, 171>
<32, 43> <64, 177>
<32, 43> <64, 141>
<32, 43> <64, 140>
<32, 39> <64, 140>
<32, 40> <64, 141>
<32, 42> <64, 160>
<32, 42> <64, 145>
<32, 42> <64, 120>
<32, 42> <64, 119>
<32, 43> <64, 121>
<32, 44> <64, 122>
<32, 43> <64, 150>
<32, 44> <64, 149>
<32, 42> <64, 147>
<32, 42> <64, 146>
<32, 42> <64, 130>
<32, 42> <64, 163>
<32, 44> <64, 145>
<32, 44> <64, 160>
<32, 44> <64, 121>
<32, 44> <64, 122>
<32, 40> <64, 119>
<32, 41> <64, 120>
<32, 43> <64, 150>
<32, 44> <64, 149>
<32, 42> <64, 130>
<32, 42> <64, 163>
<32, 42> <64, 147>
<32, 42> <64, 146>
<32, 43> <64, 163>
<32, 44> <64, 166>
<32, 42> <64, 97>
<32, 42> <64, 108>
<32, 42> <64, 163>
<32, 42> <64, 166>
<32, 43> <64, 123>
<32, 44> <64, 121>
<32, 42> <64, 159>
<32, 42> <64, 144>
<32, 42> <64, 119>
<32, 42> <64, 118>
<32, 39> <64, 155>
<32, 40> <64, 156>
<32, 43> <64, 170>
<32, 43> <64, 182>
<32, 43> <64, 157>
<32, 43> <64, 158>
<32, 42> <64, 169>
<32, 42> <64, 180>
<32, 42> <64, 159>
<32, 42> <64, 160>
<32, 43> <64, 159>
<32, 44> <64, 160>
<32, 40> <64, 162>
<32, 41> <64, 165>
<32, 44> <64, 161>
<32, 44> <64, 164>
<32, 44> <64, 98>
<32, 44> <64, 109>
<32, 42> <64, 169>
<32, 42> <64, 180>
<32, 42> <64, 159>
<32, 42> <64, 160>
<32, 43> <64, 159>
<32, 44> <64, 160>
<32, 42> <64, 118>
<32, 42> <64, 119>
<32, 42> <64, 144>
<32, 42> <64, 159>
<32, 43> <64, 123>
<32, 44> <64, 121>
<32, 34> <64, 178>
<32, 31> <64, 172>
<32, 28> <64, 143>
<32, 28> <64, 142>
<32, 28> <64, 143>
<32, 28> <64, 142>
<32, 27> <64, 133>
<32, 30> <64, 166>
<32, 28> <64, 149>
<32, 28> <64, 151>
<32, 28> <64, 146>
<32, 28> <64, 148>
<32, 26> <64, 126>
<32, 37> <64, 117>
<32, 37> <64, 116>
<32, 37> <64, 116>
<32, 30> <64, 165>
<32, 30> <64, 162>
<32, 30> <64, 164>
<32, 30> <64, 161>
<32, 22> <64, 98>
<32, 23> <64, 109>
<32, 38> <64, 127>
<32, 28> <64, 146>
<32, 28> <64, 148>
<32, 28> <64, 149>
<32, 28> <64, 151>
<32, 27> <64, 133>
<32, 30> <64, 166>
<32, 38> <64, 127>
<32, 25> <64, 69>
<32, 25> <64, 71>
<32, 25> <64, 69>
<32, 25> <64, 67>
<32, 28> <64, 75>
<32, 29> <64, 77>
<32, 38> <64, 126>
<32, 38> <64, 127>
<32, 28> <64, 79>
<32, 28> <64, 78>
<32, 28> <64, 70>
<32, 28> <64, 61>
<32, 34> <64, 80>
<32, 31> <64, 81>
<32, 46> <64, 196>
<32, 22> <64, 58>
<32, 27> <64, 66>
<32, 27> <64, 67>
<32, 27> <64, 66>
<32, 27> <64, 67>
<32, 27> <64, 66>
<32, 30> <64, 68>
<32, 28> <64, 79>
<32, 28> <64, 77>
<32, 28> <64, 70>
<32, 28> <64, 69>
<32, 28> <64, 77>
<32, 29> <64, 79>
<32, 25> <64, 68>
<32, 25> <64, 66>
<32, 25> <64, 70>
<32, 25> <64, 69>
<32, 28> <64, 69>
<32, 29> <64, 68>
<32, 25> <64, 59>
<32, 25> <64, 58>
<32, 25> <64, 68>
<32, 25> <64, 69>
<32, 34> <64, 80>
<32, 31> <64, 81>
<32, 28> <64, 79>
<32, 28> <64, 78>
<32, 28> <64, 70>
<32, 28> <64, 61>
<32, 29> <64, 156>
<32, 29> <64, 155>
<32, 31> <64, 69>
<32, 35> <64, 70>
<32, 29> <64, 79>
<32, 29> <64, 77>
<32, 29> <64, 68>
<32, 29> <64, 66>
<32, 29> <64, 158>
<32, 29> <64, 157>
<32, 31> <64, 170>
<32, 35> <64, 182>
<32, 28> <64, 75>
<32, 28> <64, 77>
<32, 28> <64, 71>
<32, 28> <64, 69>
<32, 27> <64, 67>
<32, 30> <64, 69>
<32, 36> <64, 115>
<32, 27> <64, 74>
<32, 27> <64, 76>
<32, 27> <64, 74>
<32, 27> <64, 76>
<32, 46> <64, 204>
<32, 22> <64, 72>
<32, 28> <64, 145>
<32, 29> <64, 160>
<32, 25> <64, 122>
<32, 28> <64, 69>
<32, 29> <64, 68>
<32, 25> <64, 69>
<32, 25> <64, 68>
<32, 25> <64, 58>
<32, 25> <64, 59>
<32, 25> <64, 121>
<32, 25> <64, 120>
<32, 25> <64, 119>
<32, 34> <64, 71>
<32, 31> <64, 69>
<32, 28> <64, 75>
<32, 28> <64, 77>
<32, 28> <64, 67>
<32, 28> <64, 69>
<32, 22> <64, 96>
<32, 22> <64, 96>
<32, 9> <64, 6>
<32, 9> <64, 6>
<32, 11> <64, 20>
<32, 11> <64, 20>
<32, 11> <64, 6>
<32, 11> <64, 6>
<32, 5> <64, 17>
<32, 5> <64, 17>
<32, 8> <64, 13>
<32, 8> <64, 13>
<32, 10> <64, 14>
<32, 10> <64, 14>
<32, 9> <64, 13>
<32, 9> <64, 13>
<32, 10> <64, 21>
<32, 10> <64, 21>
<32, 2> <64, 21>
<32, 2> <64, 21>
<32, 7> <64, 24>
<32, 7> <64, 24>
<32, 9> <64, 21>
<32, 9> <64, 21>
<32, 11> <64, 20>
<32, 11> <64, 20>
<32, 11> <64, 7>
<32, 11> <64, 7>
<32, 22> <64, 87>
<32, 22> <64, 87>
<32, 5> <64, 7>
<32, 11> <64, 9>
<32, 9> <64, 13>
<32, 11> <64, 7>
<32, 11> <64, 8>
<32, 9> <64, 13>
<32, 7> <64, 4>
<32, 6> <64, 4>
<32, 22> <64, 93>
<32, 5> <64, 7>
<32, 9> <64, 6>
<32, 10> <64, 7>
<32, 10> <64, 7>
<32, 11> <64, 8>
<32, 11> <64, 11>
<32, 6> <64, 9>
<32, 5> <64, 17>
<32, 5> <64, 5>
<32, 8> <64, 5>
<32, 11> <64, 9>
<32, 9> <64, 13>
<32, 9> <64, 12>
<32, 11> <64, 6>
<32, 11> <64, 11>
<32, 7> <64, 14>
<32, 6> <64, 9>
<32, 5> <64, 4>
<32, 7> <64, 24>
<32, 6> <64, 5>
<32, 27> <64, 133>
<32, 27> <64, 130>
<32, 27> <64, 137>
<32, 27> <64, 135>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - - 1 - 1 - 1 1 1 1 1 1 1 1 1 1 - 1 - 1 - - 1 - - - - - - - - ]
[ 1 - - 1 - 1 - 1 - - - - - - - - 1 - 1 - 1 - - 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 - - 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - - - - - ]
[ 1 1 - - - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 1 1 1 1 - - ]
[ 1 1 1 1 - - 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - 1 1 - - - - ]
[ 1 1 - - 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - - - 1 1 - - ]
[ 1 1 1 1 - 1 1 - - - - 1 1 1 1 - 1 1 - - - - - - 1 - - 1 1 - - 1 ]
[ 1 1 1 1 1 - - 1 - - 1 - 1 1 - 1 1 1 - - - - - - - 1 1 - - 1 1 - ]
[ 1 - - - - - 1 - - - 1 1 - 1 - 1 1 1 1 1 1 1 - - 1 - 1 - - 1 - 1 ]
[ 1 - 1 1 1 1 1 - 1 1 - - - 1 - 1 - - - - - - 1 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - - - - 1 - - - 1 - 1 1 1 1 - - 1 1 1 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 1 1 1 1 - 1 1 1 - - - - - 1 1 - - - - - 1 - 1 - 1 - 1 ]
[ 1 1 1 - - 1 1 1 - 1 1 - - - 1 1 - - - - 1 1 - - 1 - - 1 - 1 1 - ]
[ 1 1 - 1 1 - 1 1 1 - - 1 - - 1 1 - - - - 1 1 - - - 1 1 - 1 - - 1 ]
[ 1 1 - - - - 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 - - - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - 1 1 - - ]
[ 1 - 1 1 1 - - - - 1 1 1 - - 1 - 1 - - 1 - 1 - 1 - - 1 1 1 1 - - ]
[ 1 - - - 1 - 1 1 - 1 - - 1 1 1 - 1 - - 1 - 1 - 1 1 1 - - - - 1 1 ]
[ 1 1 - - 1 1 - - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - - 1 1 - - 1 1 ]
[ 1 1 1 - - - - 1 1 1 - 1 - 1 - - 1 - - 1 1 - 1 - - - - - 1 1 1 1 ]
[ 1 1 - 1 - - 1 - 1 1 1 - 1 - - - - 1 1 - - 1 - 1 - - - - 1 1 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 1 - - 1 - 1 1 - - 1 1 - 1 - ]
[ 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 - 1 1 - 1 - ]
[ 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - - 1 - 1 1 - 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 512 = 2^9
    (1 37, 50, 38)(2, 13, 53, 40)(3, 12, 22, 9)(4, 17, 7, 48)(5, 18, 6, 33)(8, 34, 45, 21)(10, 51 47, 23)(11 52, 14, 
        56)(15, 55, 42, 19)(16, 36, 49, 39)(20, 46, 24, 43)(25, 64, 29, 28)(26, 27, 62, 31)(30, 63, 58, 59)(32, 61 60, 
        57)(35, 44, 54, 41)
    (1 2, 33, 34)(3, 28, 35, 60)(4, 47, 36, 15)(5, 13, 37, 45)(6, 40, 38, 8)(7, 10, 39, 42)(9, 61 41 29)(11 63, 43, 
        31)(12, 57, 44, 25)(14, 59, 46, 27)(16, 51 48, 19)(17, 55, 49, 23)(18, 21 50, 53)(20, 58, 52, 26)(22, 64, 54, 
        32)(24, 30, 56, 62)
    (2, 35)(3, 34)(8, 9)(10, 43)(11 42)(12, 45)(13, 44)(14, 15)(19, 52)(20, 51)(21 22)(23, 24)(25, 57)(26, 58)(27, 59)(28, 
        60)(29, 61)(30, 62)(31 63)(32, 64)(40, 41)(46, 47)(53, 54)(55, 56)
    (4, 6, 7, 37)(5, 36, 38, 39)(8, 15, 13, 42)(9, 14, 44, 11)(10, 40, 47, 45)(12, 43, 41 46)(16, 49, 48, 17)(18, 50)(19, 
        23, 51 55)(20, 56, 52, 24)(21 53)(22, 54)(25, 59, 61 63)(26, 62, 58, 30)(27, 29, 31 57)(32, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 28
Number of regular subgroups containing zeta: 28
Number of centrally regular subgroups: 28
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 22> <64, 91>
<32, 46> <64, 217>
<32, 2> <64, 25>
<32, 22> <64, 93>
<32, 27> <64, 135>
<32, 27> <64, 137>
<32, 22> <64, 101>
<32, 46> <64, 256>
<32, 2> <64, 20>
<32, 22> <64, 102>
<32, 24> <64, 113>
<32, 22> <64, 89>
<32, 30> <64, 166>
<32, 27> <64, 132>
<32, 30> <64, 166>
<32, 27> <64, 132>
<32, 49> <64, 244>
<32, 49> <64, 239>
<32, 48> <64, 214>
<32, 46> <64, 217>
<32, 25> <64, 122>
<32, 46> <64, 252>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 25> <64, 122>
<32, 22> <64, 100>
<32, 29> <64, 158>
<32, 27> <64, 132>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 - - 1 1 - - 1 - - 1 1 - - 1 1 1 - 1 - - 1 - 1 - 1 - 1 - - ]
[ 1 1 1 - 1 - - 1 - 1 - 1 1 1 1 - - - 1 1 - - - 1 1 - 1 - 1 - - - ]
[ 1 1 - 1 - 1 1 - 1 - 1 - - - - 1 1 1 1 1 - - - 1 1 - 1 - 1 - - - ]
[ 1 1 - 1 1 - - 1 1 - 1 1 - - 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 - - ]
[ 1 1 1 1 1 1 - - - - - - 1 - 1 1 - 1 - - 1 1 1 - - 1 1 - 1 - - - ]
[ 1 1 1 1 - - 1 1 - - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 - - ]
[ 1 1 - - 1 1 - - 1 1 1 - - 1 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 - - ]
[ 1 1 - - - - 1 1 1 1 1 1 - 1 - - 1 - - - 1 1 1 - - 1 1 - 1 - - - ]
[ 1 1 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - - - 1 1 - - - - 1 1 ]
[ 1 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - - - 1 1 - - - - 1 1 ]
[ 1 1 1 - - 1 - 1 1 - 1 1 1 - - - - 1 1 - - 1 1 1 - - - - - - 1 1 ]
[ 1 1 - 1 1 - 1 - - 1 - - - 1 1 1 1 - 1 - - 1 1 1 - - - - - - 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 - 1 1 - 1 - - - - - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 1 1 - - - 1 - - 1 - 1 1 - - - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 - 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 - - 1 - ]
[ 1 - 1 - - - - 1 1 1 - - - - 1 1 1 1 1 - - - 1 - 1 1 1 1 - - - 1 ]
[ 1 - - 1 1 1 1 - - - 1 1 1 1 - - - - 1 - - - 1 - 1 1 1 1 - - - 1 ]
[ 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - - 1 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 1 1 - - 1 - - 1 - - 1 - - 1 1 - 1 - 1 - 1 - 1 1 - - 1 - 1 ]
[ 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - - 1 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - - - - 1 1 - 1 1 - 1 1 - 1 1 - - - 1 - 1 - 1 - 1 1 - - 1 - 1 ]
[ 1 - 1 - - 1 1 1 - - 1 - - 1 1 1 - - 1 1 1 - 1 - - - - - 1 1 - 1 ]
[ 1 - - 1 1 - - - 1 1 - 1 1 - - - 1 1 1 1 1 - 1 - - - - - 1 1 - 1 ]
[ 1 - - - - - - - - - 1 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 - - 1 - ]
[ 1 - 1 1 - 1 - - 1 - - 1 - 1 1 - 1 - - - 1 - 1 1 1 - 1 - - 1 1 - ]
[ 1 - 1 1 - - 1 - - 1 1 1 - - 1 - - 1 - 1 - - 1 1 - 1 - 1 1 - 1 - ]
[ 1 - - - 1 - 1 1 - 1 1 - 1 - - 1 - 1 - - 1 - 1 1 1 - 1 - - 1 1 - ]
[ 1 - - - 1 1 - 1 1 - - - 1 1 - 1 1 - - 1 - - 1 1 - 1 - 1 1 - 1 - ]
[ 1 - 1 - 1 1 - - - 1 1 1 - - - 1 1 - 1 - - 1 - - 1 1 - - 1 1 1 - ]
[ 1 - - 1 - - 1 1 1 - - - 1 1 1 - - 1 1 - - 1 - - 1 1 - - 1 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 16384 = 2^14
    (1 17, 8, 51 33, 49, 40, 19)(2, 61 43, 22, 34, 29, 11 54)(3, 28, 46, 53, 35, 60, 14, 21)(4, 30, 47, 55, 36, 62, 15, 
        23)(5, 59, 42, 20, 37, 27, 10, 52)(6, 25, 44, 31 38, 57, 12, 63)(7, 50, 48, 58, 39, 18, 16, 26)(9, 24, 45, 32, 41     56, 13, 64)
    (2, 3, 5, 4)(6, 7, 9, 8)(10, 11)(14, 15)(17, 29, 31 30, 26, 27, 32, 28)(18, 21 24, 22, 19, 23, 25, 20)(34, 35, 37, 
        36)(38, 39, 41 40)(42, 43)(46, 47)(49, 61 63, 62, 58, 59, 64, 60)(50, 53, 56, 54, 51 55, 57, 52)
    (3, 7)(4, 40)(5, 37)(8, 36)(9, 41)(10, 12)(11 45)(13, 43)(15, 47)(16, 48)(17, 49)(18, 60)(19, 30)(20, 63)(21 53)(22, 
        32)(24, 56)(27, 59)(28, 50)(31 52)(35, 39)(42, 44)(51 62)(54, 64)
    (3, 40)(4, 7)(5, 37)(6, 38)(8, 35)(10, 13)(11 44)(12, 43)(14, 46)(16, 48)(17, 61)(18, 31)(19, 64)(20, 60)(21 25)(22, 
        30)(23, 56)(24, 55)(26, 27)(28, 52)(29, 49)(32, 51)(36, 39)(42, 45)(50, 63)(53, 57)(54, 62)(58, 59)
    (17, 49)(18, 50)(19, 51)(20, 52)(21 53)(22, 54)(23, 55)(24, 56)(25, 57)(26, 58)(27, 59)(28, 60)(29, 61)(30, 62)(31     63)(32, 64)
    (17, 26)(18, 19)(20, 22)(21 23)(24, 25)(27, 29)(28, 30)(31 32)(49, 58)(50, 51)(52, 54)(53, 55)(56, 57)(59, 61)(60, 
        62)(63, 64)
Automorphism group has centre of order: 2
Number of regular subgroups: 118
Number of regular subgroups containing zeta: 118
Number of centrally regular subgroups: 118
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 34> <64, 174>
<32, 34> <64, 175>
<32, 35> <64, 181>
<32, 35> <64, 179>
<32, 34> <64, 173>
<32, 35> <64, 180>
<32, 34> <64, 176>
<32, 31> <64, 167>
<32, 31> <64, 168>
<32, 3> <64, 27>
<32, 3> <64, 27>
<32, 25> <64, 119>
<32, 25> <64, 119>
<32, 25> <64, 118>
<32, 25> <64, 120>
<32, 31> <64, 169>
<32, 3> <64, 2>
<32, 3> <64, 3>
<32, 25> <64, 117>
<32, 26> <64, 127>
<32, 26> <64, 127>
<32, 25> <64, 117>
<32, 25> <64, 115>
<32, 26> <64, 126>
<32, 26> <64, 126>
<32, 25> <64, 115>
<32, 21> <64, 85>
<32, 21> <64, 83>
<32, 21> <64, 86>
<32, 21> <64, 86>
<32, 46> <64, 252>
<32, 46> <64, 253>
<32, 34> <64, 175>
<32, 34> <64, 176>
<32, 46> <64, 255>
<32, 46> <64, 255>
<32, 34> <64, 178>
<32, 34> <64, 178>
<32, 3> <64, 26>
<32, 3> <64, 26>
<32, 3> <64, 27>
<32, 27> <64, 136>
<32, 27> <64, 135>
<32, 27> <64, 134>
<32, 27> <64, 137>
<32, 28> <64, 154>
<32, 28> <64, 153>
<32, 28> <64, 152>
<32, 28> <64, 152>
<32, 28> <64, 154>
<32, 28> <64, 153>
<32, 28> <64, 152>
<32, 28> <64, 152>
<32, 24> <64, 112>
<32, 24> <64, 114>
<32, 25> <64, 124>
<32, 25> <64, 125>
<32, 22> <64, 101>
<32, 22> <64, 102>
<32, 22> <64, 94>
<32, 22> <64, 93>
<32, 27> <64, 137>
<32, 27> <64, 135>
<32, 28> <64, 154>
<32, 28> <64, 152>
<32, 46> <64, 259>
<32, 46> <64, 258>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 28> <64, 145>
<32, 22> <64, 94>
<32, 22> <64, 93>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 27> <64, 133>
<32, 28> <64, 145>
<32, 25> <64, 120>
<32, 28> <64, 148>
<32, 25> <64, 122>
<32, 28> <64, 151>
<32, 27> <64, 137>
<32, 27> <64, 135>
<32, 46> <64, 259>
<32, 46> <64, 258>
<32, 28> <64, 152>
<32, 28> <64, 154>
<32, 23> <64, 111>
<32, 23> <64, 110>
<32, 45> <64, 248>
<32, 45> <64, 249>
<32, 12> <64, 44>
<32, 12> <64, 44>
<32, 25> <64, 125>
<32, 25> <64, 124>
<32, 23> <64, 110>
<32, 23> <64, 111>
<32, 11> <64, 6>
<32, 11> <64, 7>
<32, 11> <64, 6>
<32, 11> <64, 7>
<32, 4> <64, 3>
<32, 12> <64, 16>
<32, 12> <64, 15>
<32, 14> <64, 49>
<32, 14> <64, 49>
<32, 46> <64, 255>
<32, 46> <64, 259>
<32, 46> <64, 259>
<32, 46> <64, 252>
<32, 46> <64, 256>
<32, 46> <64, 259>
<32, 46> <64, 259>
<32, 46> <64, 255>
<32, 6> <64, 36>
<32, 6> <64, 37>
<32, 6> <64, 37>
<32, 6> <64, 36>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 ]
[ 1 - - 1 - 1 1 - 1 1 1 1 1 1 1 1 - - - - - - 1 1 - - 1 1 - - - - ]
[ 1 - - 1 - 1 1 - - - - - - - - - 1 1 1 1 - - 1 1 - - 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 1 1 - - - - 1 1 1 - 1 - - - 1 - - - 1 1 1 1 - - - - 1 1 1 - ]
[ 1 1 - 1 - - 1 - - - - 1 1 1 - 1 1 1 - 1 1 1 - 1 1 - - - - - - 1 ]
[ 1 1 - - 1 - - 1 1 - 1 1 - - - 1 - - - 1 - - 1 1 1 - 1 - 1 - 1 1 ]
[ 1 - 1 - 1 1 - - - - 1 - 1 1 - 1 1 1 - 1 1 - 1 - - 1 1 - - - 1 - ]
[ 1 - - 1 - 1 - 1 - 1 1 1 - 1 - - - 1 - - - 1 1 - 1 1 - - - 1 1 1 ]
[ 1 1 - - - 1 - 1 1 - - - 1 1 1 - 1 1 1 - - 1 1 - 1 - 1 - 1 - - - ]
[ 1 - - 1 1 - - 1 - 1 - - 1 - 1 1 1 - 1 1 - - 1 1 1 1 - - - 1 - - ]
[ 1 - - - 1 1 1 - 1 1 - 1 1 - - - 1 - - - 1 - - - 1 1 1 - 1 1 - 1 ]
[ 1 1 1 - 1 - - - - 1 1 - 1 1 - - - 1 1 - - - - 1 1 - 1 1 - 1 - 1 ]
[ 1 - - - 1 1 - 1 1 - 1 - - - 1 1 1 1 - - 1 1 - 1 - - - 1 - 1 - 1 ]
[ 1 - 1 - - - 1 1 - 1 1 - - 1 1 - 1 - - 1 1 - 1 - 1 - - 1 1 - - 1 ]
[ 1 - 1 1 - 1 - - 1 - 1 - 1 - - 1 - - 1 1 - 1 - - 1 1 - 1 1 - - 1 ]
[ 1 - 1 - - - 1 1 - - 1 1 1 - 1 - - 1 - 1 - 1 - 1 - 1 1 - 1 1 - - ]
[ 1 1 - - 1 - 1 - 1 1 - - 1 - 1 - - 1 - 1 - 1 1 - - 1 - 1 - - 1 1 ]
[ 1 1 - 1 - - - 1 - - 1 1 1 - 1 - 1 - 1 - 1 - - - - 1 1 1 - - 1 1 ]
[ 1 1 1 - - 1 - - - 1 - 1 - - 1 1 - 1 1 - 1 - 1 1 - 1 - - 1 - - 1 ]
[ 1 - 1 - - - 1 1 1 - - 1 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 1 - ]
[ 1 1 1 - - 1 - - - 1 - 1 - - 1 1 1 - - 1 - 1 - - 1 - 1 1 - 1 1 - ]
[ 1 1 - - - 1 1 - 1 - 1 - - 1 1 - - - 1 1 1 - - 1 1 1 - - - 1 1 - ]
[ 1 1 - 1 - - - 1 1 1 - - - 1 - 1 - 1 - 1 1 - - - - 1 1 1 1 1 - - ]
[ 1 1 - - 1 - 1 - - - 1 1 - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 1 - - ]
[ 1 - 1 - - - 1 1 1 1 - - - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - - - 1 1 ]
[ 1 - - 1 1 - 1 - - 1 1 - - - 1 1 - 1 1 - 1 1 - - 1 - 1 - 1 - 1 - ]
[ 1 - 1 1 1 - - - 1 - - 1 - 1 1 - - - 1 1 1 1 1 - - - 1 - - 1 - 1 ]
[ 1 - - - 1 1 - 1 - 1 - 1 1 1 - - - - 1 1 1 1 - 1 - - - 1 1 - 1 - ]
[ 1 - 1 1 1 - - - 1 - - 1 - 1 1 - 1 1 - - - - - 1 1 1 - 1 1 - 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1024 = 2^10
    (7, 45)(8, 41)(9, 40)(10, 12)(11 14)(13, 39)(15, 61)(17, 49)(18, 25)(19, 51)(20, 52)(21 53)(22, 24)(23, 55)(26, 58)(27,
        59)(28, 60)(29, 47)(30, 64)(32, 62)(42, 44)(43, 46)(50, 57)(54, 56)
    (1 47, 16, 12)(2, 40, 37, 54)(3, 46, 36, 62)(4, 30, 35, 14)(5, 22, 34, 8)(6, 50, 31 13)(7, 51 25, 20)(9, 23, 56, 
        26)(10, 60, 29, 27)(11 17, 64, 21)(15, 48, 44, 33)(18, 63, 45, 38)(19, 57, 52, 39)(24, 58, 41 55)(28, 61 59, 
        42)(32, 53, 43, 49)
    (1 2, 33, 34)(3, 6, 35, 38)(4, 63, 36, 31)(5, 16, 37, 48)(7, 11 39, 43)(8, 44, 40, 12)(9, 10, 41 42)(13, 46, 45, 
        14)(15, 54, 47, 22)(17, 20, 49, 52)(18, 30, 50, 62)(19, 21 51 53)(23, 59, 55, 27)(24, 61 56, 29)(25, 64, 57, 
        32)(26, 28, 58, 60)
    (2, 4, 3, 37)(5, 34, 36, 35)(6, 38)(7, 18, 10, 15)(8, 43, 40, 11)(9, 14, 41 46)(12, 61 45, 25)(13, 57, 44, 29)(16, 31,
     48, 63)(17, 21 23, 58)(20, 59, 52, 27)(22, 56)(24, 54)(26, 49, 53, 55)(28, 60)(30, 64)(32, 62)(39, 50, 42, 47)
    (4, 37)(5, 36)(7, 42)(8, 46)(9, 11)(10, 39)(12, 13)(14, 40)(15, 47)(16, 31)(17, 23)(18, 50)(20, 59)(22, 54)(24, 56)(25, 
        57)(27, 52)(29, 61)(30, 62)(32, 64)(41 43)(44, 45)(48, 63)(49, 55)
Automorphism group has centre of order: 2
Number of regular subgroups: 112
Number of regular subgroups containing zeta: 112
Number of centrally regular subgroups: 112
Matrix is cocyclic over /Expanded matrix is group developed over: 
<32, 22> <64, 100>
<32, 22> <64, 100>
<32, 23> <64, 108>
<32, 46> <64, 252>
<32, 22> <64, 89>
<32, 21> <64, 83>
<32, 45> <64, 248>
<32, 23> <64, 104>
<32, 26> <64, 127>
<32, 27> <64, 132>
<32, 30> <64, 166>
<32, 2> <64, 25>
<32, 21> <64, 86>
<32, 28> <64, 148>
<32, 28> <64, 151>
<32, 6> <64, 37>
<32, 6> <64, 36>
<32, 2> <64, 22>
<32, 23> <64, 111>
<32, 22> <64, 93>
<32, 2> <64, 25>
<32, 30> <64, 166>
<32, 27> <64, 132>
<32, 2> <64, 25>
<32, 22> <64, 93>
<32, 22> <64, 102>
<32, 2> <64, 20>
<32, 2> <64, 19>
<32, 23> <64, 110>
<32, 22> <64, 89>
<32, 24> <64, 112>
<32, 28> <64, 143>
<32, 28> <64, 142>
<32, 31> <64, 172>
<32, 25> <64, 121>
<32, 25> <64, 119>
<32, 34> <64, 175>
<32, 29> <64, 159>
<32, 28> <64, 143>
<32, 27> <64, 129>
<32, 34> <64, 176>
<32, 25> <64, 120>
<32, 27> <64, 129>
<32, 28> <64, 150>
<32, 28> <64, 145>
<32, 28> <64, 145>
<32, 46> <64, 252>
<32, 30> <64, 165>
<32, 25> <64, 120>
<32, 35> <64, 180>
<32, 30> <64, 165>
<32, 28> <64, 151>
<32, 29> <64, 160>
<32, 29> <64, 160>
<32, 23> <64, 106>
<32, 29> <64, 156>
<32, 28> <64, 143>
<32, 29> <64, 160>
<32, 29> <64, 158>
<32, 25> <64, 120>
<32, 31> <64, 168>
<32, 35> <64, 182>
<32, 25> <64, 122>
<32, 30> <64, 162>
<32, 31> <64, 169>
<32, 29> <64, 160>
<32, 22> <64, 96>
<32, 28> <64, 149>
<32, 28> <64, 145>
<32, 25> <64, 120>
<32, 27> <64, 132>
<32, 27> <64, 132>
<32, 25> <64, 120>
<32, 29> <64, 160>
<32, 22> <64, 96>
<32, 28> <64, 149>
<32, 28> <64, 145>
<32, 31> <64, 169>
<32, 30> <64, 162>
<32, 25> <64, 122>
<32, 35> <64, 182>
<32, 25> <64, 120>
<32, 31> <64, 168>
<32, 29> <64, 158>
<32, 29> <64, 160>
<32, 29> <64, 156>
<32, 28> <64, 143>
<32, 25> <64, 121>
<32, 31> <64, 172>
<32, 25> <64, 119>
<32, 34> <64, 175>
<32, 29> <64, 159>
<32, 28> <64, 143>
<32, 28> <64, 142>
<32, 28> <64, 143>
<32, 24> <64, 114>
<32, 26> <64, 127>
<32, 21> <64, 86>
<32, 26> <64, 126>
<32, 23> <64, 105>
<32, 26> <64, 126>
<32, 24> <64, 114>
<32, 6> <64, 37>
<32, 6> <64, 37>
<32, 34> <64, 175>
<32, 27> <64, 137>
<32, 28> <64, 154>
<32, 25> <64, 125>
<32, 27> <64, 137>
<32, 28> <64, 154>
<32, 46> <64, 259>
<32, 28> <64, 154>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 - 1 1 - - 1 1 - - 1 - - - 1 1 - - 1 - - - 1 1 1 - 1 1 - - ]
[ 1 1 1 - - - 1 1 - - 1 1 - 1 - - 1 1 - - - 1 - - 1 1 1 - - - 1 1 ]
[ 1 - - - 1 - - 1 1 1 - - - 1 1 1 1 1 - - - 1 1 1 1 - - - - 1 1 - ]
[ 1 - - - - 1 1 - - - 1 1 1 - 1 1 1 1 - - 1 - 1 1 1 - - - 1 - - 1 ]
[ 1 - 1 1 - - 1 1 - 1 1 - - - 1 - - 1 - 1 - - 1 - 1 - 1 1 1 1 - - ]
[ 1 1 - 1 - 1 1 - 1 - - 1 - - 1 - 1 - 1 - - - 1 - 1 1 - 1 - 1 1 - ]
[ 1 - 1 1 1 1 - - - 1 1 - - - - 1 1 - 1 - - - - 1 1 - 1 1 - - 1 1 ]
[ 1 1 - 1 1 - - 1 1 - - 1 - - - 1 - 1 - 1 - - - 1 1 1 - 1 1 - - 1 ]
[ 1 - - 1 1 - 1 - - - - - 1 1 1 1 1 1 1 1 - - - - - 1 1 - 1 - 1 - ]
[ 1 - - 1 1 - 1 - 1 1 1 1 - - - - - - - - 1 1 1 1 - 1 1 - 1 - 1 - ]
[ 1 1 - - - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - - 1 1 1 - 1 - ]
[ 1 1 - - - 1 - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - 1 - - - 1 1 1 - 1 - ]
[ 1 1 - - 1 - 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - - - 1 1 - 1 - 1 ]
[ 1 1 - - 1 - 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - - 1 1 - 1 - 1 ]
[ 1 - - 1 - - - - 1 1 1 1 1 1 - - 1 1 1 1 1 1 - - 1 - - 1 - - - - ]
[ 1 - - 1 1 1 1 1 - - - - 1 1 - - - - - - 1 1 - - 1 - - 1 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 1 - - - 1 - - 1 - 1 - 1 - 1 - - 1 1 1 - - 1 1 - - - 1 1 1 - ]
[ 1 1 1 - 1 - - - 1 - 1 - 1 - 1 - - - 1 1 - 1 1 - 1 - - - 1 - 1 1 ]
[ 1 - - - 1 1 - 1 - 1 - 1 - 1 1 - - - 1 1 1 - 1 - 1 1 1 - - - - 1 ]
[ 1 - - - - 1 1 1 1 - 1 - 1 - - 1 - - 1 1 - 1 - 1 1 1 1 - - 1 - - ]
[ 1 1 - 1 - 1 - - - 1 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 - - 1 1 - 1 ]
[ 1 1 - 1 - - - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 - 1 - - - 1 1 1 ]
[ 1 - 1 1 - 1 - - 1 - - 1 - 1 1 - - 1 1 - - 1 - 1 - - 1 - 1 1 - 1 ]
[ 1 - 1 1 - - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - - 1 - - 1 1 1 ]
[ 1 - 1 - - 1 1 - 1 1 - - 1 1 - - - 1 - 1 - - 1 1 - 1 - 1 - - 1 1 ]
[ 1 - 1 - - - 1 1 1 1 - - - - 1 1 1 - 1 - 1 1 - - - 1 - 1 1 - - 1 ]
[ 1 - 1 - 1 1 - - - - 1 1 - - 1 1 - 1 - 1 1 1 - - - 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 - - 1 1 1 1 - - 1 - 1 - - - 1 1 - 1 - 1 1 1 - - ]

Permutation group acting on a set of cardinality 64
Order = 122880 = 2^13 * 3 * 5
    (1 2)(3, 20)(4, 21)(5, 22)(6, 23)(7, 24)(8, 26)(9, 28)(10, 25)(11 27)(12, 19)(13, 18)(14, 30)(15, 31)(16, 29)(17, 
        32)(33, 34)(35, 52)(36, 53)(37, 54)(38, 55)(39, 56)(40, 58)(41 60)(42, 57)(43, 59)(44, 51)(45, 50)(46, 62)(47, 
        63)(48, 61)(49, 64)
    (2, 3)(4, 10)(5, 8)(6, 43)(7, 41)(9, 39)(11 38)(12, 44)(13, 45)(14, 47)(15, 46)(16, 48)(17, 49)(18, 51)(19, 50)(21,
     28)(22, 27)(23, 58)(24, 57)(25, 56)(26, 55)(29, 32)(34, 35)(36, 42)(37, 40)(53, 60)(54, 59)(61 64)
    (4, 38)(5, 39)(6, 36)(7, 37)(8, 11)(9, 10)(14, 49)(15, 48)(16, 47)(17, 46)(21 56)(22, 55)(23, 54)(24, 53)(25, 27)(26, 
        28)(29, 62)(30, 61)(31 64)(32, 63)(40, 43)(41 42)(57, 59)(58, 60)
    (3, 16, 17)(4, 12, 5)(6, 8, 14)(7, 15, 10)(9, 11 13)(18, 27, 28)(19, 21 22)(20, 32, 29)(23, 30, 26)(24, 25, 31)(35, 48,
        49)(36, 44, 37)(38, 40, 46)(39, 47, 42)(41 43, 45)(50, 59, 60)(51 53, 54)(52, 64, 61)(55, 62, 58)(56, 57, 63)
    (4, 5)(6, 7)(8, 10)(9, 11)(14, 15)(16, 17)(21 22)(23, 24)(25, 26)(27, 28)(29, 32)(30, 31)(36, 37)(38, 39)(40, 42)(41,
     43)(46, 47)(48, 49)(53, 54)(55, 56)(57, 58)(59, 60)(61 64)(62, 63)
Automorphism group has centre of order: 2
Number of regular subgroups: 280
Number of regular subgroups containing zeta: 280
Number of centrally regular subgroups: 280
Expanded design is group developed 
<32, 51> <64, 260>
<32, 45> <64, 193>
<32, 51> <64, 262>
<32, 45> <64, 192>
<32, 34> <64, 65>
<32, 27> <64, 60>
<32, 21> <64, 55>
<32, 46> <64, 194>
<32, 45> <64, 195>
<32, 46> <64, 193>
<32, 22> <64, 60>
<32, 22> <64, 62>
<32, 34> <64, 65>
<32, 27> <64, 76>
<32, 21> <64, 57>
<32, 33> <64, 64>
<32, 33> <64, 82>
<32, 33> <64, 82>
<32, 35> <64, 72>
<32, 22> <64, 67>
<32, 22> <64, 58>
<32, 27> <64, 66>
<32, 24> <64, 61>
<32, 30> <64, 62>
<32, 22> <64, 60>
<32, 45> <64, 195>
<32, 22> <64, 62>
<32, 46> <64, 205>
<32, 27> <64, 66>
<32, 22> <64, 67>
<32, 46> <64, 212>
<32, 22> <64, 72>
<32, 24> <64, 58>
<32, 22> <64, 61>
<32, 30> <64, 62>
<32, 27> <64, 66>
<32, 22> <64, 58>
<32, 46> <64, 204>
<32, 46> <64, 207>
<32, 22> <64, 71>
<32, 47> <64, 197>
<32, 31> <64, 63>
<32, 31> <64, 72>
<32, 24> <64, 57>
<32, 48> <64, 197>
<32, 31> <64, 72>
<32, 27> <64, 60>
<32, 27> <64, 66>
<32, 46> <64, 205>
<32, 21> <64, 59>
<32, 48> <64, 208>
<32, 31> <64, 63>
<32, 35> <64, 65>
<32, 24> <64, 59>
<32, 47> <64, 212>
<32, 35> <64, 72>
<32, 27> <64, 76>
<32, 22> <64, 58>
<32, 27> <64, 66>
<32, 25> <64, 69>
<32, 29> <64, 77>
<32, 22> <64, 61>
<32, 24> <64, 58>
<32, 27> <64, 66>
<32, 45> <64, 247>
<32, 22> <64, 93>
<32, 30> <64, 81>
<32, 33> <64, 81>
<32, 33> <64, 68>
<32, 31> <64, 81>
<32, 29> <64, 77>
<32, 31> <64, 81>
<32, 28> <64, 70>
<32, 25> <64, 69>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 46> <64, 212>
<32, 22> <64, 72>
<32, 22> <64, 93>
<32, 22> <64, 93>
<32, 22> <64, 88>
<32, 22> <64, 92>
<32, 27> <64, 75>
<32, 24> <64, 69>
<32, 30> <64, 78>
<32, 25> <64, 69>
<32, 29> <64, 80>
<32, 25> <64, 66>
<32, 29> <64, 61>
<32, 25> <64, 59>
<32, 25> <64, 68>
<32, 30> <64, 68>
<32, 27> <64, 76>
<32, 28> <64, 77>
<32, 31> <64, 78>
<32, 30> <64, 69>
<32, 28> <64, 69>
<32, 28> <64, 79>
<32, 31> <64, 63>
<32, 28> <64, 70>
<32, 30> <64, 68>
<32, 33> <64, 78>
<32, 30> <64, 69>
<32, 24> <64, 63>
<32, 22> <64, 72>
<32, 33> <64, 82>
<32, 31> <64, 81>
<32, 31> <64, 69>
<32, 33> <64, 77>
<32, 29> <64, 68>
<32, 29> <64, 79>
<32, 33> <64, 68>
<32, 30> <64, 79>
<32, 30> <64, 69>
<32, 28> <64, 69>
<32, 33> <64, 69>
<32, 31> <64, 78>
<32, 31> <64, 69>
<32, 31> <64, 74>
<32, 33> <64, 69>
<32, 28> <64, 77>
<32, 28> <64, 77>
<32, 33> <64, 69>
<32, 30> <64, 78>
<32, 30> <64, 78>
<32, 31> <64, 81>
<32, 31> <64, 81>
<32, 29> <64, 72>
<32, 25> <64, 59>
<32, 48> <64, 208>
<32, 25> <64, 68>
<32, 25> <64, 68>
<32, 29> <64, 68>
<32, 29> <64, 68>
<32, 24> <64, 59>
<32, 31> <64, 63>
<32, 30> <64, 80>
<32, 31> <64, 69>
<32, 33> <64, 78>
<32, 28> <64, 69>
<32, 30> <64, 68>
<32, 25> <64, 68>
<32, 29> <64, 81>
<32, 22> <64, 72>
<32, 24> <64, 57>
<32, 29> <64, 72>
<32, 25> <64, 70>
<32, 27> <64, 76>
<32, 24> <64, 69>
<32, 30> <64, 78>
<32, 29> <64, 74>
<32, 25> <64, 69>
<32, 27> <64, 66>
<32, 22> <64, 61>
<32, 25> <64, 58>
<32, 29> <64, 66>
<32, 29> <64, 70>
<32, 22> <64, 72>
<32, 25> <64, 59>
<32, 30> <64, 81>
<32, 25> <64, 68>
<32, 27> <64, 76>
<32, 29> <64, 68>
<32, 24> <64, 68>
<32, 30> <64, 68>
<32, 28> <64, 79>
<32, 33> <64, 68>
<32, 30> <64, 81>
<32, 31> <64, 63>
<32, 28> <64, 79>
<32, 33> <64, 82>
<32, 31> <64, 72>
<32, 26> <64, 68>
<32, 21> <64, 59>
<32, 29> <64, 81>
<32, 32> <64, 68>
<32, 31> <64, 81>
<32, 29> <64, 68>
<32, 35> <64, 70>
<32, 32> <64, 81>
<32, 29> <64, 79>
<32, 32> <64, 79>
<32, 22> <64, 90>
<32, 22> <64, 90>
<32, 22> <64, 58>
<32, 31> <64, 72>
<32, 24> <64, 68>
<32, 25> <64, 70>
<32, 26> <64, 72>
<32, 29> <64, 76>
<32, 26> <64, 59>
<32, 35> <64, 76>
<32, 26> <64, 68>
<32, 29> <64, 76>
<32, 33> <64, 68>
<32, 35> <64, 70>
<32, 26> <64, 68>
<32, 24> <64, 68>
<32, 35> <64, 76>
<32, 47> <64, 208>
<32, 26> <64, 70>
<32, 29> <64, 81>
<32, 33> <64, 81>
<32, 35> <64, 70>
<32, 29> <64, 70>
<32, 35> <64, 79>
<32, 33> <64, 81>
<32, 26> <64, 68>
<32, 25> <64, 68>
<32, 24> <64, 68>
<32, 31> <64, 81>
<32, 29> <64, 68>
<32, 26> <64, 68>
<32, 31> <64, 81>
<32, 26> <64, 72>
<32, 24> <64, 57>
<32, 26> <64, 59>
<32, 29> <64, 79>
<32, 25> <64, 68>
<32, 24> <64, 61>
<32, 27> <64, 139>
<32, 46> <64, 255>
<32, 22> <64, 89>
<32, 27> <64, 136>
<32, 27> <64, 136>
<32, 30> <64, 79>
<32, 31> <64, 63>
<32, 6> <64, 23>
<32, 29> <64, 80>
<32, 33> <64, 68>
<32, 33> <64, 68>
<32, 22> <64, 100>
<32, 22> <64, 100>
<32, 22> <64, 102>
<32, 22> <64, 97>
<32, 22> <64, 101>
<32, 22> <64, 98>
<32, 22> <64, 100>
<32, 46> <64, 252>
<32, 46> <64, 255>
<32, 22> <64, 102>
<32, 22> <64, 101>
<32, 27> <64, 66>
<32, 37> <64, 104>
<32, 7> <64, 24>
<32, 37> <64, 85>
<32, 8> <64, 24>
<32, 6> <64, 23>
<32, 22> <64, 91>
<32, 46> <64, 217>
<32, 29> <64, 74>
<32, 22> <64, 94>
<32, 29> <64, 76>
<32, 24> <64, 57>
<32, 33> <64, 69>
<32, 33> <64, 69>
<32, 29> <64, 70>
<32, 22> <64, 72>
<32, 30> <64, 80>
<32, 31> <64, 78>
<32, 31> <64, 72>
<32, 33> <64, 68>
<32, 33> <64, 81>
<32, 30> <64, 68>
<32, 31> <64, 72>
<32, 33> <64, 68>
<32, 33> <64, 81>
<32, 30> <64, 68>
<32, 27> <64, 137>
<32, 27> <64, 132>
<32, 27> <64, 132>
<32, 27> <64, 136>
<32, 27> <64, 137>
<32, 27> <64, 132>
<32, 6> <64, 35>
<32, 27> <64, 139>
<32, 41> <64, 143>
<32, 44> <64, 143>
<32, 44> <64, 172>
<32, 41> <64, 175>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - 1 1 - - - - - - ]
[ 1 1 1 1 1 1 - - - - - - - - - - - - 1 1 1 1 - - 1 1 1 1 1 1 - - ]
[ 1 - - 1 - 1 1 - - 1 - - 1 - - - - 1 - - 1 - 1 1 1 1 - - 1 1 1 1 ]
[ 1 - - 1 - 1 1 - - 1 1 1 1 - 1 1 - 1 1 1 1 - - - - - 1 1 - - - - ]
[ 1 - - - 1 - - - - 1 1 1 - 1 - - - 1 1 - - 1 1 - 1 1 1 1 - - 1 1 ]
[ 1 - 1 1 1 - 1 1 - 1 - - - 1 1 1 - 1 1 - - 1 1 - - - - - 1 1 - - ]
[ 1 1 - - 1 1 1 1 - - - - 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - - - ]
[ 1 1 - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 - - ]
[ 1 1 1 1 - 1 - - - 1 1 - - 1 1 - 1 - - 1 1 1 1 - - - - - - - 1 1 ]
[ 1 1 1 1 1 - - - 1 - - 1 1 - - 1 - 1 1 - 1 1 - 1 - - - - - - 1 1 ]
[ 1 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 - - - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - 1 1 - - 1 - 1 - 1 1 - 1 - 1 - - - - - - - - - 1 1 1 1 1 1 ]
[ 1 1 - - 1 1 1 1 - - - - - - 1 1 1 1 1 1 - - - - 1 1 - - - - 1 1 ]
[ 1 1 1 1 - - - - 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 - - - - ]
[ 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 1 - 1 - - 1 1 - - 1 1 - - - 1 - - - 1 - 1 1 1 1 - 1 - 1 - 1 - ]
[ 1 1 1 - - - 1 1 - - 1 1 - - 1 - - - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 ]
[ 1 1 - - - - 1 - 1 1 - - 1 1 1 - - - 1 1 - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 1 - - - - - 1 1 1 - - 1 1 - 1 - - 1 1 1 - 1 - - 1 - 1 1 - 1 - ]
[ 1 - 1 - - - 1 1 1 1 - 1 - - - - 1 1 - 1 1 1 - - - 1 1 - 1 - - 1 ]
[ 1 - 1 - 1 1 - - - - - 1 1 1 1 1 - - - 1 - - 1 1 - 1 1 - 1 - - 1 ]
[ 1 - - - 1 1 - 1 1 1 1 - - - 1 1 - - - - 1 1 - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 1 - - - 1 - - 1 - 1 1 - - 1 1 1 1 - - - 1 1 - - 1 1 - - 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - ]
[ 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 1 - - 1 1 - 1 - 1 - - 1 - 1 - 1 ]
[ 1 - - 1 - 1 - 1 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - 1 - 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 1536 = 2^9 * 3
    (1 2, 33, 34)(3, 47, 35, 15)(4, 19, 36, 51)(5, 52, 37, 20)(6, 23, 38, 55)(7, 24, 39, 56)(8, 14, 40, 46)(9, 16, 41,
     48)(10, 21 42, 53)(11 54, 43, 22)(12, 50, 44, 18)(13, 49, 45, 17)(25, 32, 57, 64)(26, 27, 58, 59)(28, 30, 60, 
        62)(29, 31 61 63)
    (2, 5, 9, 10)(3, 13, 40, 39)(4, 6, 43, 12)(7, 35, 45, 8)(11 44, 36, 38)(14, 15, 46, 47)(16, 48)(17, 57)(18, 50)(19, 54, 
        51 22)(20, 58, 52, 26)(21 62, 53, 30)(24, 63)(25, 49)(27, 32, 60, 29)(28, 61 59, 64)(31 56)(34, 37, 41 42)
    (4, 37)(5, 36)(6, 39)(7, 38)(10, 11)(12, 13)(17, 18)(19, 20)(21 54)(22, 53)(23, 56)(24, 55)(25, 57)(26, 58)(27, 59)(28, 
        60)(29, 61)(30, 62)(31 63)(32, 64)(42, 43)(44, 45)(49, 50)(51 52)
Automorphism group has centre of order: 2
Number of regular subgroups: 26
Number of regular subgroups containing zeta: 26
Number of centrally regular subgroups: 26
Matrix is cocyclic over /Expanded matrix is group developed over:
<32, 51> <64, 265>
<32, 45> <64, 198>
<32, 22> <64, 100>
<32, 46> <64, 212>
<32, 46> <64, 252>
<32, 22> <64, 100>
<32, 46> <64, 255>
<32, 22> <64, 97>
<32, 46> <64, 217>
<32, 46> <64, 252>
<32, 45> <64, 248>
<32, 23> <64, 104>
<32, 22> <64, 100>
<32, 21> <64, 84>
<32, 23> <64, 108>
<32, 22> <64, 89>
<32, 27> <64, 132>
<32, 28> <64, 143>
<32, 27> <64, 132>
<32, 28> <64, 143>
<32, 46> <64, 252>
<32, 46> <64, 255>
<32, 25> <64, 122>
<32, 6> <64, 37>
<32, 25> <64, 121>
<32, 6> <64, 36>


<It was not possible to compute the regular subgroups of the following
matrices. The third is the Sylvester matrix.>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 ]

Permutation group acting on a set of cardinality 64
Order = 18874368 = 2^21 * 3^2
    (1 17, 10, 2, 50, 9, 33, 49, 42, 34, 18, 41)(3, 51 12, 36, 52, 43, 35, 19, 44, 4, 20, 11)(5, 53, 14, 38, 54, 45, 37, 
        21 46, 6, 22, 13)(7, 23, 16, 8, 56, 15, 39, 55, 48, 40, 24, 47)(25, 26, 57, 58)(27, 60, 59, 28)(29, 62, 61 30)(31     32, 63, 64)
    (2, 3)(6, 7)(10, 11)(14, 15)(18, 19)(22, 23)(26, 27)(30, 31)(34, 35)(38, 39)(42, 43)(46, 47)(50, 51)(54, 55)(58, 59)(62, 
        63)
    (5, 37)(6, 38)(7, 39)(8, 40)(9, 20, 12, 17)(10, 19, 11 18)(13, 56, 16, 53)(14, 55, 15, 54)(21 45, 24, 48)(22, 46, 23, 
        47)(29, 61)(30, 62)(31 63)(32, 64)(41 52, 44, 49)(42, 51 43, 50)
    (17, 50)(18, 49)(19, 52)(20, 51)(21 54)(22, 53)(23, 56)(24, 55)(25, 58)(26, 57)(27, 60)(28, 59)(29, 62)(30, 61)(31     64)(32, 63)
    (3, 5)(4, 6)(11 13)(12, 14)(19, 21)(20, 22)(27, 29)(28, 30)(35, 37)(36, 38)(43, 45)(44, 46)(51 53)(52, 54)(59, 61)(60, 
        62)
    (9, 17)(10, 18)(11 19)(12, 20)(13, 21)(14, 22)(15, 23)(16, 24)(41 49)(42, 50)(43, 51)(44, 52)(45, 53)(46, 54)(47, 
        55)(48, 56)
    (17, 25)(18, 26)(19, 27)(20, 28)(21 29)(22, 30)(23, 31)(24, 32)(49, 57)(50, 58)(51 59)(52, 60)(53, 61)(54, 62)(55, 
        63)(56, 64)
    (17, 23)(18, 24)(19, 21)(20, 22)(25, 31)(26, 32)(27, 29)(28, 30)(49, 55)(50, 56)(51 53)(52, 54)(57, 63)(58, 64)(59, 
        61)(60, 62)
    (17, 19)(18, 20)(21 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(49, 51)(50, 52)(53, 55)(54, 56)(57, 59)(58, 60)(61     63)(62, 64)
    (17, 20)(18, 19)(21 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(49, 52)(50, 51)(53, 56)(54, 55)(57, 60)(58, 59)(61     64)(62, 63)
    (5, 8)(6, 7)(13, 16)(14, 15)(21 24)(22, 23)(25, 28)(26, 27)(37, 40)(38, 39)(45, 48)(46, 47)(53, 56)(54, 55)(57, 60)(58, 
        59)


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 - 1 - - - - - - - - 1 1 1 1 1 1 1 - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - ]
[ 1 1 1 - - 1 - - 1 1 1 1 - 1 1 - - - 1 - 1 1 - - - 1 1 - - 1 - - ]
[ 1 - 1 1 - - 1 - 1 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - - 1 1 - - 1 - ]
[ 1 1 - - 1 - 1 - 1 1 1 1 - - - 1 1 - 1 - - - 1 1 - 1 - - 1 - 1 - ]
[ 1 - - 1 1 1 - - 1 1 1 - 1 1 - 1 - - - 1 1 - 1 - - - - 1 1 1 - - ]
[ 1 - 1 1 - - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - 1 1 - - 1 - ]
[ 1 1 - - 1 - 1 - 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 1 - - 1 - 1 - ]
[ 1 - - 1 1 1 - - 1 - - 1 - - 1 - 1 1 1 - - 1 - 1 1 - - 1 1 1 - - ]
[ 1 1 1 - - 1 - - 1 - - - 1 - - 1 1 1 - 1 - - 1 1 1 1 1 - - 1 - - ]
[ 1 - 1 1 - - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 - 1 ]
[ 1 1 - - 1 - 1 - - 1 - - 1 1 1 - - 1 1 - - - 1 1 - - 1 1 - 1 - 1 ]
[ 1 - - 1 1 1 - - - 1 - 1 - - 1 - 1 1 - 1 1 - 1 - - 1 1 - - - 1 1 ]
[ 1 1 1 - - 1 - - - 1 - - 1 - - 1 1 1 1 - 1 1 - - - - - 1 1 - 1 1 ]
[ 1 - 1 1 - - 1 - - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - - 1 1 - 1 ]
[ 1 1 - - 1 - 1 - - - 1 1 - - - 1 1 - - 1 1 1 - - 1 - 1 1 - 1 - 1 ]
[ 1 - - 1 1 1 - - - - 1 - 1 1 - 1 - - 1 - - 1 - 1 1 1 1 - - - 1 1 ]
[ 1 1 1 - - 1 - - - - 1 1 - 1 1 - - - - 1 - - 1 1 1 - - 1 1 - 1 1 ]
[ 1 - 1 - 1 - - 1 1 1 - 1 1 - 1 1 - - - - 1 - - 1 1 - 1 - 1 - - 1 ]
[ 1 1 - 1 - - - 1 1 1 - 1 1 1 - - 1 - - - - 1 1 - 1 1 - 1 - - - 1 ]
[ 1 - - - - 1 1 1 1 1 1 1 1 - - - - 1 1 1 - - - - 1 - - - - 1 1 1 ]
[ 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - 1 1 1 1 - - - - - 1 1 1 ]
[ 1 1 - 1 - - - 1 1 - 1 - - - 1 1 - 1 1 1 1 - - 1 - 1 - 1 - - - 1 ]
[ 1 - 1 - 1 - - 1 1 - 1 - - 1 - - 1 1 1 1 - 1 1 - - - 1 - 1 - - 1 ]
[ 1 - - - - 1 1 1 - 1 - - - 1 1 1 1 - 1 1 - - - - 1 1 1 1 1 - - - ]
[ 1 1 - 1 - - - 1 - 1 1 - - - 1 1 - 1 - - - 1 1 - 1 - 1 - 1 1 1 - ]
[ 1 - 1 - 1 - - 1 - 1 1 - - 1 - - 1 1 - - 1 - - 1 1 1 - 1 - 1 1 - ]
[ 1 - 1 - 1 - - 1 - - - 1 1 - 1 1 - - 1 1 - 1 1 - - 1 - 1 - 1 1 - ]
[ 1 1 - 1 - - - 1 - - - 1 1 1 - - 1 - 1 1 1 - - 1 - - 1 - 1 1 1 - ]
[ 1 - - - - 1 1 1 - - 1 1 1 - - - - 1 - - 1 1 1 1 - 1 1 1 1 - - - ]

Permutation group acting on a set of cardinality 64
Order = 786432 = 2^18 * 3
    (7, 39)(8, 40)(10, 42)(11 43)(14, 46)(15, 47)(18, 50)(19, 51)(21 26)(22, 
        57)(23, 55)(24, 56)(25, 54)(27, 59)(28, 63)(29, 30)(31 60)(32, 64)(53, 
        58)(61 62)
    (6, 14, 15)(7, 8, 13)(9, 18, 19)(10, 11 17)(21 28, 27)(22, 23, 29)(24, 30,
        25)(26, 31 32)(38, 46, 47)(39, 40, 45)(41 50, 51)(42, 43, 49)(53, 60, 
        59)(54, 55, 61)(56, 62, 57)(58, 63, 64)
    (1 6)(2, 9)(3, 13)(4, 17)(5, 27)(7, 29)(8, 22)(10, 30)(11 25)(12, 32)(14, 
        21)(15, 28)(16, 23)(18, 26)(19, 31)(20, 24)(33, 38)(34, 41)(35, 45)(36, 
        49)(37, 59)(39, 61)(40, 54)(42, 62)(43, 57)(44, 64)(46, 53)(47, 60)(48, 
        55)(50, 58)(51 63)(52, 56)
    (2, 34)(4, 36)(5, 48)(6, 7, 9, 42)(8, 51 40, 19)(10, 38, 39, 41)(11 15, 
        43, 47)(12, 20)(13, 14, 17, 50)(16, 37)(18, 45, 46, 49)(21 32, 26, 
        59)(22, 57, 54, 25)(23, 61 56, 62)(24, 30, 55, 29)(27, 53, 64, 58)(28, 
        63, 60, 31)(44, 52)
    (3, 35)(4, 36)(5, 13, 46, 48, 6, 7, 37, 45, 14, 16, 38, 39)(8, 47, 40, 
        15)(9, 10, 44, 49, 18, 20, 41 42, 12, 17, 50, 52)(11 51 43, 19)(21 
        27, 28)(22, 61 23, 54, 29, 55)(24, 57, 30, 56, 25, 62)(26, 32, 31)(53, 
        59, 60)(58, 64, 63)
    (5, 20)(6, 49)(7, 18)(8, 51)(9, 45)(10, 14)(11 47)(12, 16)(13, 41)(15, 
        43)(17, 38)(19, 40)(21 53)(22, 25)(23, 56)(24, 55)(26, 58)(27, 64)(28, 
        31)(29, 61)(30, 62)(32, 59)(37, 52)(39, 50)(42, 46)(44, 48)(54, 57)(60, 
        63)
    (3, 4)(13, 17)(14, 18)(15, 19)(16, 20)(21 26)(22, 25)(27, 32)(35, 36)(45, 
        49)(46, 50)(47, 51)(48, 52)(53, 58)(54, 57)(59, 64)
    (5, 13, 14, 16, 6, 7)(8, 15)(9, 10, 12, 17, 18, 20)(11 19)(21 27, 28)(22, 
        29, 23)(24, 25, 30)(26, 32, 31)(37, 45, 46, 48, 38, 39)(40, 47)(41 42, 
        44, 49, 50, 52)(43, 51)(53, 59, 60)(54, 61 55)(56, 57, 62)(58, 64, 63)
    (7, 10)(8, 11)(14, 18)(15, 19)(21 26)(23, 24)(27, 32)(29, 30)(39, 42)(40, 
        43)(46, 50)(47, 51)(53, 58)(55, 56)(59, 64)(61 62)


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - ]
[ 1 1 1 1 1 1 1 1 - - - - - - - - - - - - - - - - 1 1 1 1 1 1 1 1 ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - ]
[ 1 1 1 1 - - - - 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 1 1 1 1 - - - - - - - - 1 1 1 1 ]
[ 1 1 1 1 - - - - - - - - 1 1 1 1 - - - - 1 1 1 1 1 1 1 1 - - - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - ]
[ 1 1 - - 1 1 - - 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 ]
[ 1 1 - - 1 1 - - - - 1 1 - - 1 1 - - 1 1 - - 1 1 1 1 - - 1 1 - - ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 1 1 - - - - 1 1 ]
[ 1 1 - - - - 1 1 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - 1 1 - - - - 1 1 - - 1 1 1 1 - - ]
[ 1 1 - - - - 1 1 - - 1 1 1 1 - - - - 1 1 1 1 - - 1 1 - - - - 1 1 ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - ]
[ 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 ]
[ 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 ]
[ 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - ]
[ 1 - 1 - - 1 - 1 - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - 1 - 1 - - 1 - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 1 - - 1 ]
[ 1 - - 1 1 - - 1 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - ]
[ 1 - - 1 1 - - 1 - 1 1 - - 1 1 - - 1 1 - - 1 1 - 1 - - 1 1 - - 1 ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - ]
[ 1 - - 1 - 1 1 - 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 ]
[ 1 - - 1 - 1 1 - - 1 1 - 1 - - 1 - 1 1 - 1 - - 1 1 - - 1 - 1 1 - ]

Permutation group acting on a set of cardinality 64
Order = 2^21 * 3^2 * 5 * 7 * 31
    (17, 27)(18, 28)(19, 25)(20, 26)(21 31)(22, 32)(23, 29)(24, 30)(49, 59)(50,
        60)(51 57)(52, 58)(53, 63)(54, 64)(55, 61)(56, 62)
    (9, 16)(10, 15)(11 14)(12, 13)(17, 29, 24, 28)(18, 30, 23, 27)(19, 31 22, 
        26)(20, 32, 21 25)(41 48)(42, 47)(43, 46)(44, 45)(49, 61 56, 60)(50, 
        62, 55, 59)(51 63, 54, 58)(52, 64, 53, 57)
    (1 2)(7, 8)(11 12)(13, 14)(19, 20)(21 22)(25, 26)(31 32)(33, 34)(39, 
        40)(43, 44)(45, 46)(51 52)(53, 54)(57, 58)(63, 64)
    (2, 3)(6, 7)(10, 11)(14, 15)(18, 19)(22, 23)(26, 27)(30, 31)(34, 35)(38, 
        39)(42, 43)(46, 47)(50, 51)(54, 55)(58, 59)(62, 63)
    (17, 50)(18, 49)(19, 52)(20, 51)(21 54)(22, 53)(23, 56)(24, 55)(25, 58)(26,
        57)(27, 60)(28, 59)(29, 62)(30, 61)(31 64)(32, 63)
    (3, 17, 9, 5)(4, 18, 10, 6)(7, 19, 25, 13)(8, 20, 26, 14)(11 21)(12, 
        22)(15, 23, 27, 29)(16, 24, 28, 30)(35, 49, 41 37)(36, 50, 42, 38)(39, 
        51 57, 45)(40, 52, 58, 46)(43, 53)(44, 54)(47, 55, 59, 61)(48, 56, 60, 
        62)
    (9, 17)(10, 18)(11 19)(12, 20)(13, 21)(14, 22)(15, 23)(16, 24)(41 49)(42, 
        50)(43, 51)(44, 52)(45, 53)(46, 54)(47, 55)(48, 56)
    (17, 23)(18, 24)(19, 21)(20, 22)(25, 31)(26, 32)(27, 29)(28, 30)(49, 55)(50,
        56)(51 53)(52, 54)(57, 63)(58, 64)(59, 61)(60, 62)
    (17, 19)(18, 20)(21 23)(22, 24)(25, 27)(26, 28)(29, 31)(30, 32)(49, 51)(50,
        52)(53, 55)(54, 56)(57, 59)(58, 60)(61 63)(62, 64)
    (17, 20)(18, 19)(21 24)(22, 23)(25, 28)(26, 27)(29, 32)(30, 31)(49, 52)(50,
        51)(53, 56)(54, 55)(57, 60)(58, 59)(61 64)(62, 63)
    (5, 9)(6, 10)(7, 11)(8, 12)(21 25)(22, 26)(23, 27)(24, 28)(37, 41)(38, 
        42)(39, 43)(40, 44)(53, 57)(54, 58)(55, 59)(56, 60)