G := sub<Sym( 42 )|
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
,
(1, 35, 17, 34, 18, 27, 6, 25)(2, 38, 5, 24, 7, 23, 9, 36)(3, 30, 20, 31, 16, 
    37, 21, 28)(4, 29, 19, 41)(8, 39, 14, 32, 12, 42, 11, 26)(10, 22, 13, 
    40)(15, 33)
>;
gens := [
[G|
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
,
(1, 35, 17, 34, 18, 27, 6, 25)(2, 38, 5, 24, 7, 23, 9, 36)(3, 30, 20, 31, 16, 
    37, 21, 28)(4, 29, 19, 41)(8, 39, 14, 32, 12, 42, 11, 26)(10, 22, 13, 
    40)(15, 33)
]
,
[G|
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
,
(1, 35, 14, 36, 15, 24, 12, 25)(2, 27, 10, 23, 13, 34, 5, 33)(3, 28, 20, 41, 4, 
    29, 21, 30)(6, 42, 11, 26, 8, 39, 17, 40)(7, 22, 9, 32)(16, 37, 19, 31)(18, 
    38)
]
,
[G|
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
,
(1, 23)(2, 26, 3, 30)(4, 35, 12, 24, 8, 32, 9, 29)(5, 28, 19, 22)(6, 39, 18, 41,
    7, 33, 20, 27)(10, 34, 16, 40, 17, 31, 11, 25)(13, 42, 21, 37, 14, 38, 15, 
    36)
]
,
[G|
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
,
(1, 25, 14, 30, 21, 28, 10, 39)(2, 31, 18, 38, 16, 40, 15, 29)(3, 41, 12, 24, 
    13, 37, 19, 26)(4, 35, 5, 42)(6, 33, 8, 23, 11, 32, 9, 27)(7, 34, 17, 
    22)(20, 36)
]
,
[G|
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
,
(1, 22, 18, 31, 17, 40, 6, 28)(2, 36, 3, 42, 14, 26, 21, 38)(4, 25, 19, 34)(5, 
    35, 12, 41, 8, 27, 9, 29)(7, 23, 20, 32, 11, 39, 16, 24)(10, 33)(13, 30, 15,
    37)
]
,
[G|
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
,
(1, 37, 3, 31, 15, 42, 7, 34)(2, 22, 6, 25)(4, 39, 9, 27)(5, 32, 17, 41, 12, 36,
    14, 30)(8, 35, 13, 33, 19, 38, 16, 26)(10, 23, 18, 40, 11, 29, 20, 28)(21, 
    24)
]
,
[G|
(1, 4, 18, 11, 12, 17, 20)(2, 19, 10, 5, 15, 8, 14)(3, 13, 6, 9, 7, 21, 16)(22, 
    26, 32, 31, 42, 30, 36)(23, 33, 37, 41, 29, 39, 34)(24, 38, 25, 27, 40, 35, 
    28)
,
(1, 28, 7, 38, 19, 39, 8, 26)(2, 34)(3, 41, 12, 40, 5, 32, 15, 27)(4, 22, 13, 
    25, 9, 42, 17, 37)(6, 36, 18, 33, 21, 35, 11, 30)(10, 24, 20, 31)(14, 29, 
    16, 23)
]
,
[G|
(1, 4, 18, 11, 12, 17, 20)(2, 19, 10, 5, 15, 8, 14)(3, 13, 6, 9, 7, 21, 16)(22, 
    26, 32, 31, 42, 30, 36)(23, 33, 37, 41, 29, 39, 34)(24, 38, 25, 27, 40, 35, 
    28)
,
(1, 36, 9, 32, 11, 37, 19, 29)(2, 28, 17, 24, 14, 31, 6, 39)(3, 25, 10, 33, 15, 
    22, 20, 35)(4, 41, 18, 42, 8, 23, 7, 30)(5, 38, 12, 26)(13, 40, 21, 34)(16, 
    27)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 39, 18, 29, 16, 42, 3, 41)(2, 34, 20, 35, 9, 30, 17, 31)(4, 33)(5, 28, 21, 
    37, 7, 27, 6, 25)(8, 38, 12, 40, 11, 23, 14, 22)(10, 36, 13, 24)(15, 26, 19,
    32)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 25, 14, 42, 8, 27, 18, 40)(2, 36, 9, 33)(3, 28, 11, 39, 12, 37, 16, 22)(4, 
    24)(5, 38, 15, 23, 7, 41, 19, 29)(6, 26, 21, 32)(10, 34, 20, 35, 13, 31, 17,
    30)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 36, 13, 41, 19, 24, 8, 34)(2, 26, 20, 28, 5, 33, 9, 39)(3, 32)(4, 35, 14, 
    23)(6, 37, 10, 30, 17, 31, 11, 42)(7, 27, 15, 38, 21, 29, 16, 22)(12, 40, 
    18, 25)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 24, 10, 28, 21, 30, 6, 25)(2, 33, 14, 27, 17, 42, 3, 26)(4, 34, 13, 39, 12, 
    40, 11, 23)(5, 36, 20, 35, 8, 29, 15, 41)(7, 22, 9, 37)(16, 31, 19, 32)(18, 
    38)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 37, 16, 41, 3, 24, 7, 31)(2, 28, 18, 26, 5, 40, 9, 25)(4, 36, 17, 30, 10, 
    34, 14, 32)(6, 38, 11, 23)(8, 27, 15, 35, 21, 29, 13, 22)(12, 33, 20, 
    39)(19, 42)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 36, 13, 40, 12, 41, 19, 24)(2, 26, 7, 31, 16, 29, 11, 38)(3, 32, 14, 39, 21,
    22, 20, 35)(4, 28, 17, 27, 15, 42, 9, 23)(5, 33, 6, 30)(8, 25, 18, 34)(10, 
    37)
]
,
[G|
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
,
(1, 36, 15, 38)(2, 32, 6, 35)(3, 24)(4, 40, 9, 23)(5, 33, 16, 30)(7, 22)(8, 31, 
    14, 42)(10, 27)(11, 39)(12, 37, 13, 34)(17, 41, 19, 26)(18, 28, 20, 29)(21, 
    25)
,
(1, 38, 6, 36)(2, 39, 11, 35, 15, 32, 10, 27)(3, 33, 12, 34, 21, 31, 8, 41)(4, 
    30, 16, 24, 17, 26, 9, 40)(5, 23, 19, 42, 20, 22, 18, 37)(7, 28)(13, 29, 14,
    25)
]
,
[G|
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
,
(1, 36, 15, 38)(2, 32, 6, 35)(3, 24)(4, 40, 9, 23)(5, 33, 16, 30)(7, 22)(8, 31, 
    14, 42)(10, 27)(11, 39)(12, 37, 13, 34)(17, 41, 19, 26)(18, 28, 20, 29)(21, 
    25)
,
(1, 34, 15, 36)(2, 29, 7, 28, 14, 41, 5, 23)(3, 24, 12, 38, 13, 39, 11, 37)(4, 
    30, 16, 33, 17, 26, 10, 40)(6, 32, 9, 27, 19, 31, 8, 25)(18, 35, 21, 42)(20,
    22)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 35, 11, 34)(2, 28, 9, 25)(3, 31, 14, 30)(4, 36)(5, 33)(6, 38, 21, 29)(7, 
    24)(8, 42, 16, 22)(10, 23, 13, 41)(12, 40, 18, 39)(15, 37, 19, 27)(17, 
    32)(20, 26)
,
(1, 20)(2, 3, 8, 16)(4, 14, 19, 9)(5, 13, 11, 10)(6, 12, 17, 7)(18, 21)(23, 35, 
    26, 34)(24, 32, 39, 38)(25, 37, 27, 31)(28, 42, 30, 36)(29, 40)(33, 41)
]
,
[G|
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
,
(1, 35, 11, 34)(2, 28, 9, 25)(3, 31, 14, 30)(4, 36)(5, 33)(6, 38, 21, 29)(7, 
    24)(8, 42, 16, 22)(10, 23, 13, 41)(12, 40, 18, 39)(15, 37, 19, 27)(17, 
    32)(20, 26)
,
(1, 9, 11, 20)(2, 7)(3, 16, 13, 4)(5, 19, 18, 17)(6, 21, 10, 14)(12, 15)(22, 30,
    41, 42)(23, 38, 31, 36)(24, 25, 34, 28)(26, 35)(27, 33, 32, 40)(37, 39)
]
,
[G|
(1, 35, 17, 34, 18, 27, 6, 25)(2, 38, 5, 24, 7, 23, 9, 36)(3, 30, 20, 31, 16, 
    37, 21, 28)(4, 29, 19, 41)(8, 39, 14, 32, 12, 42, 11, 26)(10, 22, 13, 
    40)(15, 33)
,
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
]
,
[G|
(1, 35, 14, 36, 15, 24, 12, 25)(2, 27, 10, 23, 13, 34, 5, 33)(3, 28, 20, 41, 4, 
    29, 21, 30)(6, 42, 11, 26, 8, 39, 17, 40)(7, 22, 9, 32)(16, 37, 19, 31)(18, 
    38)
,
(2, 17, 19, 12)(3, 10, 5, 9)(4, 16)(6, 15, 13, 21)(7, 18, 14, 20)(8, 11)(22, 
    28)(23, 30)(24, 40, 33, 27)(25, 37, 41, 35)(29, 31, 39, 42)(32, 34, 36, 38)
]
,
[G|
(1, 23)(2, 26, 3, 30)(4, 35, 12, 24, 8, 32, 9, 29)(5, 28, 19, 22)(6, 39, 18, 41,
    7, 33, 20, 27)(10, 34, 16, 40, 17, 31, 11, 25)(13, 42, 21, 37, 14, 38, 15, 
    36)
,
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
]
,
[G|
(1, 25, 14, 30, 21, 28, 10, 39)(2, 31, 18, 38, 16, 40, 15, 29)(3, 41, 12, 24, 
    13, 37, 19, 26)(4, 35, 5, 42)(6, 33, 8, 23, 11, 32, 9, 27)(7, 34, 17, 
    22)(20, 36)
,
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
]
,
[G|
(1, 22, 18, 31, 17, 40, 6, 28)(2, 36, 3, 42, 14, 26, 21, 38)(4, 25, 19, 34)(5, 
    35, 12, 41, 8, 27, 9, 29)(7, 23, 20, 32, 11, 39, 16, 24)(10, 33)(13, 30, 15,
    37)
,
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
]
,
[G|
(1, 37, 3, 31, 15, 42, 7, 34)(2, 22, 6, 25)(4, 39, 9, 27)(5, 32, 17, 41, 12, 36,
    14, 30)(8, 35, 13, 33, 19, 38, 16, 26)(10, 23, 18, 40, 11, 29, 20, 28)(21, 
    24)
,
(1, 19, 10, 7, 20)(2, 13, 11, 17, 18)(3, 4, 21, 5, 15)(6, 12, 9, 16, 14)(22, 23,
    33, 25, 36)(24, 27, 41, 40, 32)(26, 39, 37, 29, 35)(28, 42, 30, 38, 34)
]
,
[G|
(1, 28, 7, 38, 19, 39, 8, 26)(2, 34)(3, 41, 12, 40, 5, 32, 15, 27)(4, 22, 13, 
    25, 9, 42, 17, 37)(6, 36, 18, 33, 21, 35, 11, 30)(10, 24, 20, 31)(14, 29, 
    16, 23)
,
(1, 4, 18, 11, 12, 17, 20)(2, 19, 10, 5, 15, 8, 14)(3, 13, 6, 9, 7, 21, 16)(22, 
    26, 32, 31, 42, 30, 36)(23, 33, 37, 41, 29, 39, 34)(24, 38, 25, 27, 40, 35, 
    28)
]
,
[G|
(1, 36, 9, 32, 11, 37, 19, 29)(2, 28, 17, 24, 14, 31, 6, 39)(3, 25, 10, 33, 15, 
    22, 20, 35)(4, 41, 18, 42, 8, 23, 7, 30)(5, 38, 12, 26)(13, 40, 21, 34)(16, 
    27)
,
(1, 4, 18, 11, 12, 17, 20)(2, 19, 10, 5, 15, 8, 14)(3, 13, 6, 9, 7, 21, 16)(22, 
    26, 32, 31, 42, 30, 36)(23, 33, 37, 41, 29, 39, 34)(24, 38, 25, 27, 40, 35, 
    28)
]
,
[G|
(1, 24, 10, 28, 21, 30, 6, 25)(2, 33, 14, 27, 17, 42, 3, 26)(4, 34, 13, 39, 12, 
    40, 11, 23)(5, 36, 20, 35, 8, 29, 15, 41)(7, 22, 9, 37)(16, 31, 19, 32)(18, 
    38)
,
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
]
,
[G|
(1, 36, 13, 40, 12, 41, 19, 24)(2, 26, 7, 31, 16, 29, 11, 38)(3, 32, 14, 39, 21,
    22, 20, 35)(4, 28, 17, 27, 15, 42, 9, 23)(5, 33, 6, 30)(8, 25, 18, 34)(10, 
    37)
,
(1, 26)(2, 25, 6, 32, 19, 41, 13, 36)(3, 42, 14, 33, 5, 31, 7, 24)(4, 23, 11, 
    28)(8, 22, 16, 30)(9, 35, 20, 34, 10, 37, 18, 38)(12, 39, 15, 27, 17, 29, 
    21, 40)
]
];