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