G := sub<Sym( 17 )|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(2, 3, 9, 11, 5, 16)(4, 7, 17)(6, 12, 10, 14, 15, 13)
>;
gens := [
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(2, 3, 9, 11, 5, 16)(4, 7, 17)(6, 12, 10, 14, 15, 13)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 6, 3, 9, 16, 17)(2, 4, 10, 5, 13, 12)(7, 15, 14)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(2, 14, 13, 11, 6, 10)(3, 12, 9, 5, 15, 16)(4, 7, 8)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(2, 6, 8, 16, 5, 14)(3, 17, 15)(4, 7, 13, 10, 11, 12)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 8, 6, 15, 10)(2, 13, 17, 5, 4, 14, 9, 16, 12, 11)(3, 7)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 10, 8, 15, 6)(2, 12, 11, 16, 3, 14, 5, 4, 17, 7)(9, 13)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 11, 6, 5, 7)(2, 9, 16, 14, 13, 10, 3, 4, 12, 8)(15, 17)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 14, 4, 5, 15)(2, 9, 13, 11, 16, 17, 12, 6, 3, 8)(7, 10)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 13, 2, 8, 14, 9)(4, 6, 11, 17, 10, 16)(5, 12, 15)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 12, 15, 10, 9, 8)(2, 13, 11, 4, 5, 14)(6, 7, 16)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 10, 7, 6, 8, 5)(2, 3, 9, 13, 12, 14)(11, 15, 16)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 17, 13, 15, 9, 16)(2, 8, 14, 12, 6, 5)(3, 10, 7)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 12, 5, 8, 13, 6, 3, 7, 10, 2)(4, 15, 16, 11, 17)(9, 14)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 5, 11, 4, 14, 16, 17, 3, 10, 9)(2, 7, 8, 6, 12)(13, 15)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 8, 12, 13, 14)(2, 10, 5, 3, 6, 4, 16, 7, 15, 11)(9, 17)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 7, 11, 9, 10, 3, 14, 8, 17, 13)(2, 15, 6, 16, 5)(4, 12)
]
,
[G|
(1, 13, 17, 2, 6)(3, 7, 14, 10, 11, 8, 9, 5, 12, 16)(4, 15)
,
(1, 10, 5, 9, 12, 14, 17, 4, 16, 8)(2, 7)(3, 15, 13, 11, 6)
]
,
[G|
(1, 13, 17, 2, 6)(3, 7, 14, 10, 11, 8, 9, 5, 12, 16)(4, 15)
,
(1, 16, 8, 4, 2, 14, 9, 12, 5, 7)(3, 6, 15, 11, 13)(10, 17)
]
,
[G|
(1, 13, 17, 2, 6)(3, 7, 14, 10, 11, 8, 9, 5, 12, 16)(4, 15)
,
(1, 12, 13, 17, 5, 9, 10, 4, 3, 2)(6, 16)(7, 15, 14, 11, 8)
]
,
[G|
(1, 13, 17, 2, 6)(3, 7, 14, 10, 11, 8, 9, 5, 12, 16)(4, 15)
,
(1, 5, 13, 2, 8, 15, 14, 16, 12, 6)(3, 7, 10, 4, 11)(9, 17)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 10, 6, 5)(2, 16, 12, 9)(3, 15, 17, 7)(4, 11, 13, 8)
,
(1, 15, 14, 3)(2, 17, 5, 16)(4, 10, 7, 9)(6, 8, 11, 12)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 10, 6, 5)(2, 16, 12, 9)(3, 15, 17, 7)(4, 11, 13, 8)
,
(1, 4, 8, 7, 17)(2, 3, 13, 12, 16)(5, 10, 15, 9, 11)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 5, 17, 8)(2, 12, 15, 7)(3, 10, 6, 11)(4, 9, 16, 13)
,
(1, 3, 7, 4)(2, 11, 17, 12)(5, 13, 9, 15)(6, 14, 10, 8)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 5, 17, 8)(2, 12, 15, 7)(3, 10, 6, 11)(4, 9, 16, 13)
,
(1, 8, 17, 4, 7)(2, 13, 16, 3, 12)(5, 15, 11, 10, 9)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 9, 13, 17)(2, 3, 11, 16)(4, 10, 6, 15)(5, 8, 7, 12)
,
(1, 3, 2, 10)(4, 13, 14, 9)(5, 7, 6, 16)(8, 11, 17, 15)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 9, 13, 17)(2, 3, 11, 16)(4, 10, 6, 15)(5, 8, 7, 12)
,
(1, 17, 7, 8, 4)(2, 16, 12, 13, 3)(5, 11, 9, 15, 10)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 11, 2, 13)(3, 5, 7, 16)(4, 15, 8, 17)(6, 9, 12, 10)
,
(1, 12, 8, 7)(2, 4, 10, 13)(5, 16, 15, 11)(6, 17, 9, 14)
]
,
[G|
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
,
(1, 11, 2, 13)(3, 5, 7, 16)(4, 15, 8, 17)(6, 9, 12, 10)
,
(1, 7, 4, 17, 8)(2, 12, 3, 16, 13)(5, 9, 10, 11, 15)
]
,
[G|
(1, 17, 6, 13, 2)(3, 14, 11, 9, 12)(5, 16, 7, 10, 8)
,
(1, 9, 7, 16)(2, 13, 6, 12)(3, 17, 5, 8)(10, 11, 15, 14)
,
(1, 3, 11, 9)(2, 7, 10, 5)(4, 15, 8, 14)(12, 13, 17, 16)
]
,
[G|
(1, 17, 6, 13, 2)(3, 14, 11, 9, 12)(5, 16, 7, 10, 8)
,
(1, 9, 7, 16)(2, 13, 6, 12)(3, 17, 5, 8)(10, 11, 15, 14)
,
(1, 11, 3, 12)(2, 8, 9, 6)(4, 15, 16, 14)(5, 17, 10, 7)
]
,
[G|
(1, 17, 6, 13, 2)(3, 14, 11, 9, 12)(5, 16, 7, 10, 8)
,
(1, 9, 7, 16)(2, 13, 6, 12)(3, 17, 5, 8)(10, 11, 15, 14)
,
(1, 7, 17, 2)(3, 8, 10, 13)(4, 15, 6, 14)(5, 9, 12, 11)
]
,
[G|
(1, 17, 6, 13, 2)(3, 14, 11, 9, 12)(5, 16, 7, 10, 8)
,
(1, 9, 7, 16)(2, 13, 6, 12)(3, 17, 5, 8)(10, 11, 15, 14)
,
(1, 10, 2, 17)(3, 5, 12, 9)(4, 15, 13, 14)(6, 11, 16, 7)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 9, 2, 13, 4, 17)(3, 8, 15, 5, 14, 7)(6, 11, 12)
,
(1, 14, 7, 17, 13, 2, 9, 11, 6, 15, 16, 8, 3, 5, 12)
]
,
[G|
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
,
(1, 3, 17, 13, 5, 2)(4, 8, 7, 9, 14, 15)(6, 10, 11)
,
(1, 14, 15, 2, 10, 4, 9, 7, 16, 8, 6, 11, 5, 13, 17)
]
,
[G|
(1, 17, 12, 9, 14, 16, 2, 3, 6, 8, 13, 10, 5, 4, 11)
,
(1, 17, 10, 13, 6, 5)(2, 4, 3)(7, 12, 11, 16, 14, 9)
,
(1, 2, 10, 12, 15, 7)(3, 16, 14, 4, 5, 13)(9, 11, 17)
]
,
[G|
(1, 17, 12, 9, 14, 16, 2, 3, 6, 8, 13, 10, 5, 4, 11)
,
(1, 11, 6)(2, 8, 4, 10, 13, 16)(3, 14, 15, 9, 12, 17)
,
(1, 17, 3, 6, 13, 4)(2, 14, 12)(7, 15, 16, 11, 8, 9)
]
,
[G|
(2, 3, 9, 11, 5, 16)(4, 7, 17)(6, 12, 10, 14, 15, 13)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(1, 6, 3, 9, 16, 17)(2, 4, 10, 5, 13, 12)(7, 15, 14)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(2, 14, 13, 11, 6, 10)(3, 12, 9, 5, 15, 16)(4, 7, 8)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(2, 6, 8, 16, 5, 14)(3, 17, 15)(4, 7, 13, 10, 11, 12)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(1, 8, 6, 15, 10)(2, 13, 17, 5, 4, 14, 9, 16, 12, 11)(3, 7)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(1, 10, 8, 15, 6)(2, 12, 11, 16, 3, 14, 5, 4, 17, 7)(9, 13)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(1, 11, 6, 5, 7)(2, 9, 16, 14, 13, 10, 3, 4, 12, 8)(15, 17)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(1, 14, 4, 5, 15)(2, 9, 13, 11, 16, 17, 12, 6, 3, 8)(7, 10)
,
(1, 4, 12, 7)(3, 16, 9, 8)(5, 15, 13, 11)(6, 14, 10, 17)
]
,
[G|
(1, 12, 5, 8, 13, 6, 3, 7, 10, 2)(4, 15, 16, 11, 17)(9, 14)
,
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
]
,
[G|
(1, 5, 11, 4, 14, 16, 17, 3, 10, 9)(2, 7, 8, 6, 12)(13, 15)
,
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
]
,
[G|
(1, 8, 12, 13, 14)(2, 10, 5, 3, 6, 4, 16, 7, 15, 11)(9, 17)
,
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
]
,
[G|
(1, 7, 11, 9, 10, 3, 14, 8, 17, 13)(2, 15, 6, 16, 5)(4, 12)
,
(1, 9, 11, 15, 3, 12)(2, 17, 14)(4, 10, 13, 5, 6, 7)
]
];