g := PGL(2,11); invols := [ [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 11)(3, 7)(5, 6)(8, 12)(9, 10) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (2, 11)(3, 6)(5, 7)(8, 9)(10, 12) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 11)(3, 7)(5, 6)(8, 12)(9, 10) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 11)(3, 7)(5, 6)(8, 12)(9, 10) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 5)(3, 12)(4, 8)(6, 7)(10, 11) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 5)(3, 12)(4, 8)(6, 7)(10, 11) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 6)(2, 3)(4, 9)(5, 11)(7, 8)(10, 12) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (1, 11)(2, 12)(3, 10)(5, 6)(7, 8) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 6)(2, 3)(4, 9)(5, 11)(7, 8)(10, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 6)(2, 3)(4, 9)(5, 11)(7, 8)(10, 12) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 8)(2, 10)(3, 11)(4, 6)(5, 12)(7, 9) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 8)(2, 10)(3, 11)(4, 6)(5, 12)(7, 9) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) , (1, 7)(2, 8)(3, 9)(4, 10)(5, 11)(6, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) , (1, 9)(2, 4)(3, 10)(5, 7)(6, 11)(8, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) , (1, 11)(2, 6)(3, 7)(4, 9)(5, 12)(8, 10) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 9)(2, 8)(3, 7)(4, 6)(10, 12) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (1, 11)(2, 9)(4, 5)(6, 7)(10, 12) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) , (1, 11)(2, 6)(3, 7)(4, 9)(5, 12)(8, 10) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (1, 7)(2, 5)(3, 10)(4, 11)(9, 12) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 6)(4, 11)(5, 9)(7, 10)(8, 12) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 11)(3, 8)(4, 12)(5, 10) , (1, 7)(2, 8)(3, 9)(4, 10)(5, 11)(6, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 11)(3, 8)(4, 12)(5, 10) , (1, 9)(2, 4)(3, 10)(5, 7)(6, 11)(8, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 11)(3, 8)(4, 12)(5, 10) , (1, 8)(3, 4)(5, 6)(9, 11)(10, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 11)(3, 8)(4, 12)(5, 10) , (1, 5)(2, 9)(3, 6)(4, 8)(7, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 9)(2, 11)(3, 8)(4, 12)(5, 10) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 2)(3, 9)(4, 5)(6, 10)(8, 12) , (1, 12)(2, 5)(3, 11)(4, 7)(6, 10)(8, 9) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 2)(3, 9)(4, 5)(6, 10)(8, 12) , (1, 8)(3, 4)(5, 6)(9, 11)(10, 12) ], [g| (1, 12)(2, 8)(3, 4)(5, 9)(7, 11) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 2)(3, 9)(4, 5)(6, 10)(8, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 2)(3, 9)(4, 5)(6, 10)(8, 12) , (2, 7)(3, 5)(4, 6)(9, 10)(11, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 5)(2, 10)(3, 12)(4, 9)(6, 11) , (1, 8)(3, 4)(5, 6)(9, 11)(10, 12) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 5)(2, 10)(3, 12)(4, 9)(6, 11) , (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) ], [g| (1, 3)(2, 4)(5, 12)(7, 8)(9, 10) , (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 5)(2, 10)(3, 12)(4, 9)(6, 11) ], [g| (1, 8)(2, 7)(3, 6)(4, 5)(9, 12)(10, 11) , (1, 5)(2, 10)(3, 12)(4, 9)(6, 11) , (1, 3)(2, 11)(4, 5)(6, 8)(7, 10) ], [g| (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) , (1, 10)(2, 5)(4, 6)(7, 8)(9, 11) ], [g| (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 12)(2, 3)(5, 10)(6, 8)(7, 9) , (1, 3)(2, 5)(6, 9)(8, 10)(11, 12) ], [g| (1, 6)(2, 10)(3, 8)(7, 11)(9, 12) , (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 2)(3, 9)(4, 5)(6, 10)(8, 12) ], [g| (1, 9)(2, 8)(3, 7)(4, 6)(10, 12) , (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 4)(2, 7)(3, 8)(5, 11)(6, 9) ], [g| (1, 3)(2, 4)(5, 12)(7, 8)(9, 10) , (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 5)(2, 10)(3, 12)(4, 9)(6, 11) ], [g| (2, 6)(3, 9)(4, 12)(7, 8)(10, 11) , (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 5)(2, 10)(3, 12)(4, 9)(6, 11) ], [g| (1, 11)(3, 12)(4, 7)(6, 8)(9, 10) , (1, 8)(3, 4)(5, 6)(9, 11)(10, 12) , (1, 3)(2, 5)(6, 9)(8, 10)(11, 12) ] ];