G := sub<Sym( 45 )|
(2, 5, 3)(4, 12, 7)(6, 17, 10)(8, 21, 14)(9, 19, 13)(11, 29, 20)(16, 30, 25)(18,
    28, 27)(22, 26, 32)(23, 36, 31)(33, 35, 39)(34, 37, 41)(40, 42, 43)
,
(1, 2, 4, 8, 15, 24)(3, 6, 11, 21, 31, 37)(5, 9, 16, 14, 23, 34)(7, 13, 22, 33, 
    40, 20)(10, 18, 25)(12, 17, 26, 35, 42, 30)(19, 28, 29)(32, 38, 43)(36, 41, 
    45)(39, 44)
>;
gens := [
[G|
(1, 9, 45, 6)(3, 4, 5, 36)(7, 12, 31, 23)(8, 22, 43, 26)(10, 38, 19, 24)(11, 25,
    29, 16)(13, 44, 17, 15)(14, 34, 40, 28)(18, 42, 37, 21)(20, 30)(27, 35, 41, 
    33)(32, 39)
,
(1, 6, 27, 11, 40, 34, 19, 28, 16)(2, 36, 25, 33, 21, 12, 17, 26, 3)(4, 43, 22, 
    10, 30, 31, 37, 35, 45)(5, 9, 29)(7, 39, 15)(8, 44, 13, 32, 23, 20, 24, 14, 
    38)(18, 41, 42)
]
,
[G|
(1, 9, 45, 6)(3, 4, 5, 36)(7, 12, 31, 23)(8, 22, 43, 26)(10, 38, 19, 24)(11, 25,
    29, 16)(13, 44, 17, 15)(14, 34, 40, 28)(18, 42, 37, 21)(20, 30)(27, 35, 41, 
    33)(32, 39)
,
(1, 35, 28, 12, 20, 10, 22, 8, 36)(2, 3, 26, 17, 31, 40, 33, 11, 4)(5, 16, 9)(6,
    45, 29, 37, 19, 18, 21, 25, 41)(7, 32, 13, 15, 43, 24, 42, 38, 30)(14, 27, 
    34)(23, 44, 39)
]
,
[G|
(1, 9, 45, 6)(3, 4, 5, 36)(7, 12, 31, 23)(8, 22, 43, 26)(10, 38, 19, 24)(11, 25,
    29, 16)(13, 44, 17, 15)(14, 34, 40, 28)(18, 42, 37, 21)(20, 30)(27, 35, 41, 
    33)(32, 39)
,
(1, 38, 23, 41, 35, 36)(2, 45, 28, 11, 16, 29, 43, 44, 7, 10, 19, 6)(3, 27, 42, 
    4)(5, 18, 30, 8, 26, 25, 40, 12, 13, 32, 14, 9)(15, 37, 33, 31, 34, 39)(17, 
    22, 20, 21)
]
,
[G|
(1, 9, 45, 6)(3, 4, 5, 36)(7, 12, 31, 23)(8, 22, 43, 26)(10, 38, 19, 24)(11, 25,
    29, 16)(13, 44, 17, 15)(14, 34, 40, 28)(18, 42, 37, 21)(20, 30)(27, 35, 41, 
    33)(32, 39)
,
(1, 36, 33, 41, 31, 38)(2, 9, 10, 19, 12, 44, 43, 25, 11, 16, 18, 45)(3, 6, 21, 
    32, 17, 7, 42, 29, 22, 8, 20, 28)(4, 40, 27, 5)(13, 14, 30, 26)(15, 39, 37, 
    23, 35, 34)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 8, 30)(2, 43, 11, 34, 45, 39, 42, 41, 21)(3, 17, 23, 37, 15, 20, 44, 16, 
    12)(4, 29, 5, 13, 28, 24, 14, 32, 40)(6, 27, 33)(7, 26, 31)(9, 36, 25, 22, 
    18, 38, 35, 19, 10)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 33, 7)(2, 11, 14, 34, 39, 4, 42, 21, 13)(3, 5, 25, 37, 24, 38, 44, 40, 
    10)(6, 30, 8)(9, 23, 45, 22, 20, 41, 35, 12, 43)(15, 18, 32, 16, 19, 29, 17,
    36, 28)(26, 31, 27)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 21, 41, 9, 16, 17, 20, 43, 14)(2, 29, 19)(3, 12, 32, 36, 35, 5, 30, 27, 
    6)(4, 26, 31, 39, 25, 42, 45, 34, 10)(7, 44, 15, 24, 33, 11, 28, 18, 13)(8, 
    37, 40)(22, 23, 38)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 26, 19)(2, 28, 10, 43, 16, 12, 24, 22, 14)(3, 17, 41, 44, 35, 5, 37, 32, 
    42)(4, 38, 33, 25, 20, 30, 23, 13, 8)(6, 45, 9, 27, 40, 29, 31, 34, 15)(7, 
    39, 11)(18, 21, 36)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 7, 30, 35, 5, 44, 23, 29, 19)(2, 38, 11, 26, 31, 43, 10, 34, 14)(3, 12, 
    42)(4, 28, 16, 17, 40, 13, 21, 6, 45)(8, 9, 18)(15, 36, 27, 41, 37, 20, 39, 
    33, 22)(24, 25, 32)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 15, 34, 26, 12, 9, 7, 40, 14)(2, 23, 18, 35, 5, 36, 13, 16, 19)(3, 31, 6)(4,
    10, 20, 42, 45, 24, 22, 29, 17)(8, 41, 32, 30, 28, 38, 33, 25, 43)(11, 27, 
    39)(21, 37, 44)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 22, 20, 17, 29, 41, 15, 40, 13, 30, 19, 36)(2, 5, 25, 37, 26, 16, 8, 21, 10,
    23, 42, 6)(3, 11, 14, 9)(4, 45, 33, 7, 28, 35)(12, 27, 24, 44, 18, 39)(31, 
    43, 34, 32)
]
,
[G|
(1, 42, 43, 40, 44)(2, 6, 36, 9, 4)(3, 19, 29, 10, 12)(5, 35, 27, 21, 7)(8, 20, 
    22, 24, 28)(11, 39, 18, 15, 37)(13, 31, 26, 41, 30)(14, 25, 33, 38, 45)(16, 
    32, 34, 23, 17)
,
(1, 25, 15, 10)(2, 11, 26, 19, 34, 20, 8, 9, 42, 29, 31, 13)(3, 5, 22, 32, 41, 
    37, 14, 21, 40, 43, 36, 23)(4, 28, 35, 12, 18, 39)(6, 30, 16, 17)(7, 45, 33,
    44, 27, 24)
]
,
[G|
(1, 42, 19, 32, 22, 34)(2, 11, 12)(3, 23, 31, 20, 25, 29)(5, 30)(6, 41, 44)(7, 
    36, 16)(8, 38, 9)(10, 15, 18, 37, 43, 35)(13, 24, 40, 14, 27, 26)(17, 39, 
    33, 21, 45, 28)
,
(1, 40, 33, 35, 29, 36, 4, 7, 13, 17, 28, 45)(2, 44, 10, 39, 26, 27)(3, 43, 9, 
    38)(5, 42, 21, 24, 16, 25, 6, 12, 23, 8, 37, 18)(11, 14, 34, 31)(15, 41, 20,
    22, 19, 30)
]
,
[G|
(1, 42, 19, 32, 22, 34)(2, 11, 12)(3, 23, 31, 20, 25, 29)(5, 30)(6, 41, 44)(7, 
    36, 16)(8, 38, 9)(10, 15, 18, 37, 43, 35)(13, 24, 40, 14, 27, 26)(17, 39, 
    33, 21, 45, 28)
,
(1, 3, 29, 25, 14, 8, 4, 9, 28, 18, 31, 24)(2, 26, 27, 20, 15, 41)(5, 35, 43, 7,
    21, 11, 6, 17, 38, 40, 23, 34)(10, 30, 22, 19, 39, 44)(12, 33, 42, 13)(16, 
    36, 37, 45)
]
,
[G|
(1, 20, 45, 32, 3, 39)(5, 30)(6, 36, 9)(7, 8, 44, 16, 38, 41)(10, 13, 43, 40, 
    18, 27)(11, 12)(14, 15, 26, 35, 24, 37)(17, 42, 31, 28, 19, 23)(21, 22, 29, 
    33, 34, 25)
,
(1, 30, 22, 8, 7, 9, 27, 31, 35)(2, 32, 15, 14, 37, 28, 18, 16, 3)(4, 10, 36, 
    19, 24, 42, 34, 11, 13)(5, 39, 44, 21, 25, 17, 38, 40, 29)(6, 41, 23)(12, 
    33, 43)(20, 26, 45)
]
,
[G|
(1, 20, 45, 32, 3, 39)(5, 30)(6, 36, 9)(7, 8, 44, 16, 38, 41)(10, 13, 43, 40, 
    18, 27)(11, 12)(14, 15, 26, 35, 24, 37)(17, 42, 31, 28, 19, 23)(21, 22, 29, 
    33, 34, 25)
,
(1, 18, 33, 26, 36, 8, 7, 19, 30)(2, 45, 38, 35, 29, 43, 13, 10, 32)(3, 27, 
    39)(4, 14, 12, 42, 34, 40, 22, 9, 15)(5, 28, 24, 16, 25, 17, 23, 41, 20)(6, 
    21, 44)(11, 37, 31)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 26, 34, 32, 12, 27, 4, 43, 16)(2, 17, 18)(3, 37, 22, 30, 19, 38, 36, 8, 
    40)(5, 28, 6, 39, 31, 45, 9, 13, 20)(7, 25, 11, 42, 35, 24, 15, 21, 10)(14, 
    33, 23)(29, 41, 44)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 26, 38, 6, 8, 25, 30, 31, 10)(2, 15, 33)(3, 44, 35, 4, 14, 11, 20, 23, 
    40)(5, 32, 24, 9, 45, 22, 39, 36, 21)(7, 42, 16)(12, 19, 41, 37, 28, 18, 13,
    43, 29)(17, 27, 34)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 29, 4)(2, 34, 36, 41, 43, 16, 44, 3, 12)(5, 30, 6, 24, 27, 8, 40, 26, 7)(9, 
    37, 25, 11, 42, 35, 38, 45, 21)(10, 17, 20, 22, 23, 19, 39, 18, 15)(13, 31, 
    32)(14, 33, 28)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 45, 21, 29, 35, 6, 13, 7, 37)(2, 8, 12, 26, 42, 18, 10, 25, 24)(3, 14, 
    34)(4, 17, 44, 28, 40, 27, 33, 36, 39)(5, 15, 30, 16, 19, 22, 23, 20, 41)(9,
    43, 38)(11, 31, 32)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 10, 20, 42, 9, 31)(2, 23, 37, 19)(3, 7, 14, 6, 36, 24, 41, 32, 30, 28, 17, 
    5)(4, 15, 34, 27, 39, 11, 26, 12, 45, 13, 25, 35)(8, 22, 29, 38)(16, 44, 21,
    18, 43, 33)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 20, 33, 44, 31, 10)(2, 39, 38, 12, 19, 41, 37, 25, 22, 15, 23, 3)(4, 17, 27,
    34, 14, 11, 26, 36, 13, 45, 30, 35)(5, 32, 24, 7)(6, 8, 28, 29)(9, 43, 18, 
    21, 42, 16)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 29, 11, 6, 39, 40, 26, 5, 36, 8, 18, 32)(2, 43, 16, 22)(3, 25, 4, 13, 20, 
    44)(9, 17, 31, 15, 45, 27, 41, 34, 30, 42, 35, 33)(10, 37, 12, 23, 14, 
    38)(19, 24, 21, 28)
]
,
[G|
(1, 41, 19, 17, 9, 33, 25, 7, 3)(2, 24, 27, 12, 26, 40, 11, 14, 13)(4, 35, 
    43)(5, 37, 10)(6, 39, 36, 38, 29, 44, 16, 42, 8)(15, 18, 30)(20, 23, 45, 34,
    32, 31, 28, 21, 22)
,
(1, 43, 39, 30, 21, 9, 26, 22, 18, 31, 19, 41)(2, 29, 33, 28, 15, 6, 16, 5, 27, 
    24, 42, 8)(3, 25, 38, 23, 14, 4)(10, 37, 44, 13, 20, 12)(11, 45, 36, 35)(17,
    32, 34, 40)
]
,
[G|
(1, 22, 17, 45, 25, 31)(2, 33, 12, 3, 11, 19)(4, 10, 30, 35)(6, 9, 21, 29, 16, 
    41, 32, 39, 38, 7, 23, 42)(8, 27, 20, 24, 44, 13, 28, 14, 36, 40, 34, 
    26)(15, 43, 18, 37)
,
(1, 13, 4, 33)(2, 10, 44, 39, 41, 22)(3, 7, 38, 24, 34, 6, 9, 40, 43, 8, 11, 
    5)(12, 35, 37, 18, 36, 21, 42, 17, 16, 25, 45, 23)(14, 28, 31, 29)(15, 30, 
    19, 26, 20, 27)
]
,
[G|
(1, 22, 17, 45, 25, 31)(2, 33, 12, 3, 11, 19)(4, 10, 30, 35)(6, 9, 21, 29, 16, 
    41, 32, 39, 38, 7, 23, 42)(8, 27, 20, 24, 44, 13, 28, 14, 36, 40, 34, 
    26)(15, 43, 18, 37)
,
(1, 9, 23, 14, 18, 43, 4, 3, 21, 31, 25, 38)(2, 10, 15, 20, 27, 44)(5, 33, 24, 
    37, 28, 42, 6, 13, 8, 16, 29, 12)(7, 45, 40, 36)(11, 35, 34, 17)(19, 22, 39,
    41, 26, 30)
]
];