aut := PGammaL(2,16);
n := NormalSubgroups(aut);
g := n[3]`subgroup;
invols := 
[ 
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
,
(2, 6)(4, 14)(5, 15)(7, 12)(9, 10)(13, 17)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
,
(1, 13)(2, 6)(3, 10)(4, 11)(8, 12)(15, 16)
],
[g|
(1, 6)(2, 16)(3, 7)(4, 5)(9, 13)(10, 15)(11, 12)(14, 17)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
],
[g|
(1, 16)(2, 6)(3, 11)(4, 9)(5, 13)(7, 12)(10, 14)(15, 17)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
,
(1, 2)(3, 9)(4, 12)(5, 14)(6, 17)(7, 8)(10, 15)(11, 16)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
,
(1, 2)(3, 8)(4, 11)(5, 7)(6, 13)(9, 14)(10, 12)(15, 16)
],
[g|
(1, 5)(2, 9)(3, 17)(4, 6)(7, 14)(10, 12)(11, 15)(13, 16)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 12)(2, 3)(4, 15)(5, 10)(6, 11)(7, 16)(9, 17)(13, 14)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 15)(2, 4)(3, 16)(5, 12)(7, 17)(8, 10)(9, 13)(11, 14)
,
(1, 13)(2, 6)(3, 10)(4, 11)(8, 12)(15, 16)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 15)(2, 4)(3, 16)(5, 12)(7, 17)(8, 10)(9, 13)(11, 14)
,
(1, 6)(3, 4)(7, 11)(8, 15)(9, 16)(13, 17)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 15)(2, 4)(3, 16)(5, 12)(7, 17)(8, 10)(9, 13)(11, 14)
,
(2, 17)(3, 16)(4, 15)(5, 14)(6, 13)(7, 12)(8, 11)(9, 10)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 15)(2, 4)(3, 16)(5, 12)(7, 17)(8, 10)(9, 13)(11, 14)
,
(1, 17)(2, 6)(3, 7)(4, 15)(5, 11)(8, 9)(10, 12)(14, 16)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 15)(2, 4)(3, 16)(5, 12)(7, 17)(8, 10)(9, 13)(11, 14)
,
(1, 2)(3, 9)(4, 12)(5, 14)(6, 17)(7, 8)(10, 15)(11, 16)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
,
(1, 6)(3, 4)(7, 11)(8, 15)(9, 16)(13, 17)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
,
(1, 13)(2, 6)(3, 12)(4, 16)(5, 14)(7, 9)(8, 10)(11, 15)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
,
(2, 13)(3, 11)(4, 14)(5, 15)(6, 17)(7, 9)(8, 16)(10, 12)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
,
(1, 17)(2, 6)(3, 7)(4, 15)(5, 11)(8, 9)(10, 12)(14, 16)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
,
(1, 6)(3, 15)(4, 8)(5, 14)(7, 16)(9, 11)(10, 12)(13, 17)
],
[g|
(1, 6)(2, 4)(3, 13)(5, 15)(7, 8)(10, 11)(12, 17)(14, 16)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
],
[g|
(1, 16)(2, 17)(3, 7)(4, 12)(5, 10)(6, 14)(8, 13)(11, 15)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
],
[g|
(1, 12)(2, 14)(3, 5)(4, 16)(6, 17)(7, 10)(8, 11)(13, 15)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 2)(3, 11)(4, 6)(5, 8)(7, 15)(10, 13)(12, 14)(16, 17)
,
(2, 17)(3, 16)(4, 15)(5, 14)(6, 13)(7, 12)(8, 11)(9, 10)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 14)(2, 3)(4, 15)(6, 9)(11, 17)(12, 13)
,
(1, 2)(4, 16)(5, 9)(6, 13)(7, 14)(11, 15)
,
(1, 2)(3, 14)(5, 8)(10, 16)(11, 12)(13, 17)
],
[g|
(4, 9)(5, 16)(6, 15)(8, 10)(11, 13)(12, 17)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 14)(2, 3)(4, 15)(6, 9)(11, 17)(12, 13)
,
(1, 2)(4, 16)(5, 9)(6, 13)(7, 14)(11, 15)
],
[g|
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 14)(2, 3)(4, 15)(6, 9)(11, 17)(12, 13)
,
(1, 2)(4, 16)(5, 9)(6, 13)(7, 14)(11, 15)
,
(1, 13)(5, 10)(6, 17)(7, 16)(9, 11)(12, 14)
],
[g|
(2, 3)(5, 17)(6, 10)(7, 14)(8, 15)(12, 16)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 9)(2, 8)(3, 15)(7, 12)(11, 13)(14, 16)
,
(1, 13)(2, 6)(3, 10)(4, 11)(8, 12)(15, 16)
],
[g|
(2, 13)(3, 16)(4, 5)(6, 17)(8, 11)(14, 15)
,
(2, 16)(4, 10)(5, 6)(7, 11)(8, 14)(12, 13)
,
(3, 8)(4, 15)(5, 14)(7, 9)(10, 12)(11, 16)
,
(1, 9)(2, 8)(3, 15)(7, 12)(11, 13)(14, 16)
]
];