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