[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]
[ 1 1 1 1 1 1 1 1 1 - - - - - - - - - - 1]
[ 1 1 1 1 - - - - - 1 1 1 1 1 - - - - - 1]
[ 1 1 1 - 1 - 1 - - 1 - - - 1 1 - 1 - 1 -]
[ 1 1 1 - - - - 1 1 - 1 - 1 - 1 1 1 - - -]
[ 1 1 - 1 - 1 - 1 - 1 1 - - - - - 1 1 1 -]
[ 1 - 1 1 1 - 1 - - - 1 1 - - - 1 1 1 - -]
[ 1 1 - 1 1 1 - - - - - - 1 1 1 1 - 1 - -]
[ 1 - 1 1 - 1 - - 1 1 - 1 - - 1 1 - - 1 -]
[ 1 - - - 1 1 - - 1 1 1 - - 1 - 1 1 - - 1]
[ 1 1 - - - - 1 1 1 1 - 1 - 1 - 1 - 1 - -]
[ 1 - - 1 1 - - 1 1 - - 1 1 1 - - 1 - 1 -]
[ 1 - 1 - - 1 1 - 1 - 1 - 1 1 - - - 1 1 -]
[ 1 1 - - 1 - - - 1 - 1 1 - - 1 - - 1 1 1]
[ 1 - - 1 - - 1 - 1 1 - - 1 - 1 - 1 1 - 1]
[ 1 - 1 - - 1 - 1 - - - 1 - 1 1 - 1 1 - 1]
[ 1 - 1 - 1 - - 1 - 1 - - 1 - - 1 - 1 1 1]
[ 1 1 - - - 1 1 - - - - 1 1 - - 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 40
Order = 6840 = 2^3 * 3^2 * 5 * 19
  (1, 2, 21, 22)(3, 40, 23, 20)(4, 10, 24, 30)(5, 6, 25, 26)(7, 34, 27, 14)(8,
    11, 28, 31)(9, 17, 29, 37)(12, 39, 32, 19)(13, 36, 33, 16)(15, 18, 35, 
    38)
  (2, 3, 16, 19, 14, 17, 10, 15, 18)(5, 13, 8, 9, 12, 20, 6, 7, 11)(22, 23, 
    36, 39, 34, 37, 30, 35, 38)(25, 33, 28, 29, 32, 40, 26, 27, 31)
  (3, 15, 28, 17, 10, 27, 33, 25, 32)(4, 9, 11, 38, 20, 39, 6, 36, 34)(5, 12, 
    23, 35, 8, 37, 30, 7, 13)(14, 24, 29, 31, 18, 40, 19, 26, 16)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<20, 4> <40, 4>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]
[ 1 1 1 1 1 1 - - - - - 1 1 1 1 - - - - -]
[ 1 1 1 - - - 1 1 1 - - 1 1 - - 1 1 - - -]
[ 1 1 - 1 - - 1 1 - 1 - 1 - 1 - - - 1 1 -]
[ 1 1 - - 1 - 1 - 1 - 1 - 1 - 1 - - 1 1 -]
[ 1 1 - - - 1 1 - - 1 1 - - 1 1 1 1 - - -]
[ 1 1 - - 1 1 - - 1 1 - 1 - - - 1 - - 1 1]
[ 1 1 - 1 - 1 - 1 - - 1 - 1 - - - 1 - 1 1]
[ 1 1 1 - 1 - - 1 - - 1 - - 1 - 1 - 1 - 1]
[ 1 1 1 1 - - - - 1 1 - - - - 1 - 1 1 - 1]
[ 1 - 1 1 1 1 1 1 1 1 1 - - - - - - - - -]
[ 1 - 1 1 - - 1 - - - 1 1 - - 1 1 - - 1 1]
[ 1 - 1 - 1 - 1 - - 1 - - 1 1 - - 1 - 1 1]
[ 1 - - 1 - 1 1 - 1 - - - 1 1 - 1 - 1 - 1]
[ 1 - - - 1 1 1 1 - - - 1 - - 1 - 1 1 - 1]
[ 1 - 1 - - 1 - 1 - 1 - - 1 - 1 1 - 1 1 -]
[ 1 - 1 - - 1 - - 1 - 1 1 - 1 - - 1 1 1 -]
[ 1 - - 1 1 - - - - 1 1 1 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 40
Order = 5760 = 2^7 * 3^2 * 5
  (1, 2, 21, 22)(3, 19, 23, 39)(4, 16, 24, 36)(5, 17, 25, 37)(6, 18, 26, 
    38)(7, 32, 27, 12)(8, 33, 28, 13)(9, 34, 29, 14)(10, 35, 30, 15)(11, 20,
    31, 40)
  (2, 3)(4, 8)(5, 7)(9, 10)(12, 16)(13, 17)(14, 15)(18, 20)(22, 23)(24, 
    28)(25, 27)(29, 30)(32, 36)(33, 37)(34, 35)(38, 40)
  (3, 8, 4, 7, 6, 9, 5, 10)(11, 31)(12, 39, 14, 36, 15, 38, 13, 37)(16, 35, 
    18, 33, 17, 32, 19, 34)(20, 40)(23, 28, 24, 27, 26, 29, 25, 30)
  (4, 5)(7, 8)(9, 10)(12, 13)(14, 15)(16, 17)(24, 25)(27, 28)(29, 30)(32, 
    33)(34, 35)(36, 37)
Automorphism group has centre of order: 2
Number of regular subgroups: 4
Number of regular subgroups containing zeta: 4
Matrix is cocyclic over /Expanded matrix is group developed over:
<20, 4> <40, 4>
<20, 5> <40, 11>
<20, 4> <40, 4>
<20, 4> <40, 4>


[ 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]
[ 1 1 1 - 1 1 1 1 1 1 1 - - - - - - - - -]
[ 1 1 1 - - - 1 - 1 - - - 1 - - 1 1 - 1 1]
[ 1 1 1 - - 1 - - - 1 - 1 - - 1 - - 1 1 1]
[ 1 1 1 - - - - 1 - - 1 - - 1 1 1 1 1 - -]
[ 1 1 - 1 - 1 1 1 - - - 1 1 - 1 1 - - - -]
[ 1 1 - 1 - - - - 1 1 1 1 1 - - - 1 1 - -]
[ 1 - - - 1 1 - - 1 - 1 1 - - 1 1 1 - 1 -]
[ 1 - 1 1 - - - 1 1 1 - 1 - 1 - 1 - - 1 -]
[ 1 - 1 1 - 1 1 - - - 1 1 - 1 - - 1 - - 1]
[ 1 - - - 1 - 1 1 - 1 - 1 - - - 1 1 1 - 1]
[ 1 1 - 1 1 1 - - 1 - - - - 1 - 1 - 1 - 1]
[ 1 1 - 1 1 - 1 - - 1 - - - 1 1 - 1 - 1 -]
[ 1 - 1 1 1 1 - 1 - - - - 1 - - - 1 1 1 -]
[ 1 - - - - 1 1 - - 1 1 - 1 1 - 1 - 1 1 -]
[ 1 - - - - 1 - 1 1 1 - - 1 1 1 - 1 - - 1]
[ 1 - 1 1 1 - - - - 1 1 - 1 - 1 1 - - - 1]
[ 1 1 - - 1 - - 1 - - 1 1 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 40
Order = 3840 = 2^8 * 3 * 5
  (1, 2, 21, 22)(3, 19, 23, 39)(4, 40, 24, 20)(5, 38, 25, 18)(6, 12, 26, 
    32)(7, 13, 27, 33)(8, 37, 28, 17)(9, 35, 29, 15)(10, 36, 30, 16)(11, 34,
    31, 14)
  (2, 6, 10, 4, 12, 14)(3, 7, 17, 5, 13, 9)(8, 16, 15)(18, 19, 20)(22, 26, 30,
    24, 32, 34)(23, 27, 37, 25, 33, 29)(28, 36, 35)(38, 39, 40)
  (3, 5, 4)(6, 28, 9, 7, 31, 10)(8, 29, 27, 11, 30, 26)(12, 36, 14, 13, 35, 
    17)(15, 37, 32, 16, 34, 33)(18, 39, 20)(19, 40, 38)(23, 25, 24)
  (6, 7)(8, 11)(9, 10)(12, 13)(14, 17)(15, 16)(26, 27)(28, 31)(29, 30)(32, 
    33)(34, 37)(35, 36)
Automorphism group has centre of order: 2
Number of regular subgroups: 1
Number of regular subgroups containing zeta: 1
Matrix is cocyclic over /Expanded matrix is group developed over:
<20, 4> <40, 7>