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