G := sub<Sym( 18 )|
(3, 10, 15, 12, 8, 17, 16, 14, 7, 5, 4, 13, 9, 6, 11, 18)
,
(1, 18, 2)(3, 9, 5)(4, 12, 7)(6, 10, 14)(8, 16, 13)(11, 17, 15)
>;
gens := [
[G|
(1, 5, 6, 17, 4, 13, 11, 8, 10, 12, 9, 7, 16, 3, 14, 15)
,
(1, 17, 7, 9, 14, 16, 6, 4, 15, 12, 18, 10, 13, 5, 11, 8)
,
(1, 17, 9, 15, 11, 12, 7, 8, 4, 10, 2, 18, 5, 13, 6, 14)
]
,
[G|
(1, 5, 6, 17, 4, 13, 11, 8, 10, 12, 9, 7, 16, 3, 14, 15)
,
(2, 4, 14, 12, 7, 5, 15, 17, 6, 9, 3, 11, 8, 16, 10, 13)
,
(2, 7, 8, 9, 14, 16, 12, 6, 3, 11, 17, 5, 13, 10, 4, 18)
]
,
[G|
(1, 17, 11, 12, 16, 15, 6, 13, 10, 7, 14, 5, 4, 8, 9, 3)
,
(1, 9, 6, 12, 13, 8, 7, 16, 15, 10, 11, 17, 14, 4, 18, 5)
,
(1, 12, 10, 7, 17, 4, 16, 15, 14, 8, 13, 5, 2, 18, 11, 6)
]
,
[G|
(1, 17, 11, 12, 16, 15, 6, 13, 10, 7, 14, 5, 4, 8, 9, 3)
,
(2, 12, 15, 9, 8, 13, 14, 5, 6, 11, 10, 4, 7, 17, 3, 16)
,
(2, 4, 10, 9, 5, 6, 15, 8, 11, 14, 7, 16, 17, 13, 12, 18)
]
,
[G|
(1, 13, 9, 15, 4, 12, 14, 17, 10, 3, 6, 8, 16, 5, 11, 7)
,
(1, 16, 18, 8, 14, 12, 11, 9, 15, 5, 7, 4, 13, 17, 6, 10)
,
(1, 6, 8, 2, 18, 14, 17, 13, 11, 5, 7, 12, 16, 9, 4, 15)
]
,
[G|
(1, 13, 9, 15, 4, 12, 14, 17, 10, 3, 6, 8, 16, 5, 11, 7)
,
(2, 5, 3, 13, 7, 9, 10, 12, 6, 16, 14, 17, 8, 4, 15, 11)
,
(2, 9, 13, 17, 6, 8, 3, 15, 16, 14, 4, 12, 10, 11, 5, 18)
]
,
[G|
(1, 8, 14, 13, 16, 17, 9, 5, 10, 15, 11, 3, 4, 7, 6, 12)
,
(1, 4, 11, 16, 13, 9, 18, 17, 15, 8, 6, 5, 14, 10, 7, 12)
,
(1, 5, 10, 16, 4, 9, 13, 14, 12, 15, 8, 7, 6, 17, 2, 18)
]
,
[G|
(1, 8, 14, 13, 16, 17, 9, 5, 10, 15, 11, 3, 4, 7, 6, 12)
,
(2, 17, 10, 5, 8, 12, 3, 4, 6, 13, 15, 16, 7, 11, 14, 9)
,
(2, 11, 13, 14, 9, 6, 16, 5, 10, 3, 8, 15, 7, 4, 17, 18)
]
];