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