G := sub<Sym( 14 )|
(3, 9, 10, 12, 6, 13, 4, 11, 5, 7, 8, 14)
,
(1, 14, 2)(3, 8, 13)(4, 10, 11)(5, 6, 12)
>;
gens := [
[G|
(1, 14, 2)(3, 8, 13)(4, 10, 11)(5, 6, 12)
,
(1, 14, 12, 5)(3, 10, 8, 7)(4, 9, 11, 13)
,
(1, 12, 13, 10)(2, 8, 11, 7)(3, 9, 4, 14)
]
,
[G|
(1, 14, 2)(3, 8, 13)(4, 10, 11)(5, 6, 12)
,
(1, 14, 12, 5)(3, 10, 8, 7)(4, 9, 11, 13)
,
(1, 4, 8, 12)(3, 9, 5, 10)(6, 11, 7, 13)
]
,
[G|
(1, 3, 14, 2)(4, 12, 7, 8)(5, 13, 9, 10)
,
(1, 4, 14)(2, 8, 12)(5, 13, 11)(6, 9, 10)
,
(2, 10, 7, 9, 11, 8)(4, 14, 5, 6, 12, 13)
]
,
[G|
(1, 3, 14, 2)(4, 12, 7, 8)(5, 13, 9, 10)
,
(1, 4, 14)(2, 8, 12)(5, 13, 11)(6, 9, 10)
,
(1, 5, 6, 2, 8, 10)(3, 13, 14, 4, 9, 11)
]
,
[G|
(1, 3, 14, 2)(4, 12, 7, 8)(5, 13, 9, 10)
,
(2, 7, 13, 3)(4, 8, 14, 5)(9, 12, 10, 11)
,
(1, 12, 10)(2, 4, 13)(3, 5, 8)(6, 11, 9)
]
,
[G|
(1, 3, 14, 2)(4, 12, 7, 8)(5, 13, 9, 10)
,
(2, 7, 13, 3)(4, 8, 14, 5)(9, 12, 10, 11)
,
(3, 12, 4, 7)(5, 14, 10, 13)(6, 11, 8, 9)
]
,
[G|
(1, 3, 14, 2)(4, 12, 7, 8)(5, 13, 9, 10)
,
(1, 12, 9, 5)(2, 6, 14, 7)(3, 10, 4, 8)
,
(1, 8, 10)(2, 13, 7)(3, 5, 12)(6, 14, 11)
]
,
[G|
(1, 3, 14, 2)(4, 12, 7, 8)(5, 13, 9, 10)
,
(1, 12, 9, 5)(2, 6, 14, 7)(3, 10, 4, 8)
,
(1, 9, 3, 2)(4, 10, 12, 7)(6, 8, 14, 11)
]
,
[G|
(1, 9, 6, 8, 10, 7)(3, 13, 4, 5, 11, 12)
,
(1, 10, 3)(4, 9, 12)(5, 11, 14)(6, 13, 8)
,
(2, 14, 6, 5)(3, 4, 9, 10)(7, 13, 11, 8)
]
,
[G|
(1, 9, 6, 8, 10, 7)(3, 13, 4, 5, 11, 12)
,
(1, 9, 2)(3, 11, 10)(4, 13, 8)(5, 6, 7)
,
(1, 14, 2, 13)(3, 11, 6, 7)(4, 12, 8, 9)
]
,
[G|
(1, 13, 9, 4, 6, 5, 8, 11, 10, 12, 7, 3)
,
(1, 7, 8, 11, 12, 4, 14, 9, 13, 6, 10, 5)
,
(1, 5, 9, 2, 14, 11, 6, 12, 4, 13, 10, 8)
]
,
[G|
(1, 13, 9, 4, 6, 5, 8, 11, 10, 12, 7, 3)
,
(2, 10, 9, 6, 5, 13, 3, 8, 4, 11, 7, 12)
,
(2, 4, 8, 13, 11, 12, 9, 6, 7, 5, 10, 14)
]
,
[G|
(1, 5, 7, 4, 10, 13, 8, 3, 6, 12, 9, 11)
,
(1, 4, 10, 11, 13, 7, 14, 5, 12, 6, 8, 9)
,
(1, 10, 11, 9, 6, 13, 4, 7, 12, 5, 2, 14)
]
,
[G|
(1, 5, 7, 4, 10, 13, 8, 3, 6, 12, 9, 11)
,
(2, 13, 7, 6, 4, 10, 3, 12, 5, 11, 9, 8)
,
(2, 8, 7, 3, 6, 9, 5, 4, 10, 12, 13, 14)
]
];