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