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