G := sub<Sym( 12 )|
(3, 8, 7, 12, 9, 10, 4, 11, 5, 6)
,
(1, 8, 2)(3, 4, 7)(5, 12, 11)(6, 9, 10)
>;
gens := [
[G|
(1, 8, 2)(3, 4, 7)(5, 12, 11)(6, 9, 10)
,
(2, 7, 11, 3, 8)(4, 12, 10, 6, 5)
,
(1, 7, 3, 12, 8, 2, 4, 5, 10, 11)
]
,
[G|
(1, 8, 2)(3, 4, 7)(5, 12, 11)(6, 9, 10)
,
(2, 7, 11, 3, 8)(4, 12, 10, 6, 5)
,
(3, 6, 5, 11, 4, 10, 9, 12, 7, 8)
]
,
[G|
(1, 8, 2)(3, 4, 7)(5, 12, 11)(6, 9, 10)
,
(1, 8, 11, 4, 5)(3, 10, 6, 7, 12)
,
(1, 5, 8, 7, 10, 2, 3, 11, 4, 12)
]
,
[G|
(1, 8, 2)(3, 4, 7)(5, 12, 11)(6, 9, 10)
,
(1, 8, 11, 4, 5)(3, 10, 6, 7, 12)
,
(1, 6, 12, 7, 5, 3, 10, 4, 9, 11)
]
,
[G|
(1, 7, 8, 2)(3, 11, 6, 10)(4, 12, 5, 9)
,
(1, 4, 9)(2, 10, 12)(3, 8, 11)(5, 6, 7)
,
(2, 8, 10, 4, 9)(3, 6, 7, 11, 12)
]
,
[G|
(1, 7, 8, 2)(3, 11, 6, 10)(4, 12, 5, 9)
,
(1, 4, 9)(2, 10, 12)(3, 8, 11)(5, 6, 7)
,
(1, 5, 6, 9, 12)(2, 4, 10, 3, 8)
]
,
[G|
(1, 10, 7, 12, 8)(2, 3, 5, 6, 4)
,
(1, 3, 4, 10, 11)(5, 8, 7, 6, 9)
,
(1, 9, 4, 3, 10, 6, 8, 2, 5, 11)
]
,
[G|
(1, 10, 7, 12, 8)(2, 3, 5, 6, 4)
,
(1, 3, 4, 10, 11)(5, 8, 7, 6, 9)
,
(1, 9, 5, 11, 12, 10, 3, 8, 6, 7)
]
,
[G|
(1, 10, 7, 12, 8)(2, 3, 5, 6, 4)
,
(1, 4, 10, 7, 6, 5, 2, 8, 11, 12)
,
(1, 12, 9, 11, 7)(4, 10, 6, 8, 5)
]
,
[G|
(1, 10, 7, 12, 8)(2, 3, 5, 6, 4)
,
(1, 8, 2, 3, 12, 5, 4, 9, 6, 7)
,
(2, 12, 5, 8, 7)(3, 6, 11, 9, 4)
]
,
[G|
(1, 5, 9, 12, 10)(3, 11, 7, 4, 6)
,
(1, 8, 10)(2, 7, 4)(3, 5, 12)(6, 11, 9)
,
(1, 9, 3, 12)(2, 4, 6, 10)(5, 11, 7, 8)
]
,
[G|
(1, 5, 9, 12, 10)(3, 11, 7, 4, 6)
,
(1, 8, 10)(2, 7, 4)(3, 5, 12)(6, 11, 9)
,
(1, 10, 2, 3)(4, 11, 6, 5)(7, 8, 12, 9)
]
,
[G|
(1, 5, 9, 12, 10)(3, 11, 7, 4, 6)
,
(1, 8, 10, 3, 4)(2, 11, 12, 5, 7)
,
(1, 11, 8, 10, 2, 7, 12, 4, 6, 3)
]
,
[G|
(1, 5, 9, 12, 10)(3, 11, 7, 4, 6)
,
(1, 8, 10, 3, 4)(2, 11, 12, 5, 7)
,
(1, 3, 10, 2, 11, 8, 12, 7, 9, 5)
]
,
[G|
(1, 5, 9, 12, 10)(3, 11, 7, 4, 6)
,
(1, 7, 4, 10, 8, 12, 5, 6, 11, 3)
,
(1, 6, 12, 2, 8)(3, 4, 7, 10, 11)
]
,
[G|
(1, 5, 9, 12, 10)(3, 11, 7, 4, 6)
,
(1, 11, 7, 10, 6, 4, 3, 12, 5, 2)
,
(1, 8, 2, 12, 6)(3, 11, 10, 7, 4)
]
,
[G|
(1, 3, 10, 5, 7, 6, 12, 4, 8, 2)
,
(1, 8, 11, 4, 5)(3, 10, 6, 7, 12)
,
(1, 10, 7)(2, 12, 3)(4, 9, 11)(5, 8, 6)
]
,
[G|
(1, 3, 10, 5, 7, 6, 12, 4, 8, 2)
,
(1, 8, 11, 4, 5)(3, 10, 6, 7, 12)
,
(2, 7, 8, 5, 12)(3, 4, 9, 11, 6)
]
,
[G|
(1, 3, 10, 5, 7, 6, 12, 4, 8, 2)
,
(1, 9, 2, 4, 7)(3, 5, 10, 6, 12)
,
(1, 6, 4)(2, 11, 9)(3, 5, 8)(7, 10, 12)
]
,
[G|
(1, 3, 10, 5, 7, 6, 12, 4, 8, 2)
,
(1, 9, 2, 4, 7)(3, 5, 10, 6, 12)
,
(1, 4, 10, 8, 5)(2, 11, 9, 3, 6)
]
,
[G|
(1, 5, 12, 2, 10, 6, 8, 3, 7, 4)
,
(1, 4, 8, 5, 11)(3, 7, 10, 12, 6)
,
(1, 9, 11)(2, 7, 10)(3, 8, 12)(4, 5, 6)
]
,
[G|
(1, 5, 12, 2, 10, 6, 8, 3, 7, 4)
,
(1, 4, 8, 5, 11)(3, 7, 10, 12, 6)
,
(1, 9, 11, 10, 3)(2, 12, 5, 4, 6)
]
,
[G|
(1, 5, 12, 2, 10, 6, 8, 3, 7, 4)
,
(1, 12, 6, 2, 4)(3, 9, 8, 5, 7)
,
(1, 10, 4)(2, 7, 12)(3, 6, 5)(8, 11, 9)
]
,
[G|
(1, 5, 12, 2, 10, 6, 8, 3, 7, 4)
,
(1, 12, 6, 2, 4)(3, 9, 8, 5, 7)
,
(2, 10, 6, 3, 5)(4, 8, 11, 9, 12)
]
];