g := PSL(2,8);
invols := 
[ 
[g|
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 2)(3, 5)(4, 6)(7, 8)
,
(1, 6)(3, 7)(4, 5)(8, 9)
],
[g|
(1, 6)(2, 4)(3, 8)(5, 7)
,
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 2)(3, 5)(4, 6)(7, 8)
],
[g|
(1, 6)(2, 9)(3, 5)(4, 8)
,
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 3)(2, 4)(5, 6)(8, 9)
],
[g|
(1, 4)(2, 3)(5, 9)(6, 8)
,
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 3)(2, 4)(5, 6)(8, 9)
],
[g|
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 3)(2, 4)(5, 6)(8, 9)
,
(1, 6)(3, 7)(4, 5)(8, 9)
],
[g|
(1, 2)(3, 4)(5, 8)(6, 9)
,
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 3)(2, 4)(5, 6)(8, 9)
],
[g|
(1, 5)(2, 9)(3, 7)(6, 8)
,
(1, 9)(3, 4)(5, 7)(6, 8)
,
(1, 3)(2, 8)(5, 7)(6, 9)
]
];