g := PSL(2,13); invols := [ [g| (1, 12)(3, 8)(4, 11)(5, 14)(7, 10)(9, 13) , (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 10)(2, 6)(3, 14)(4, 11)(5, 8)(7, 12) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 10)(2, 6)(3, 14)(4, 11)(5, 8)(7, 12) , (1, 2)(3, 10)(4, 5)(6, 8)(7, 13)(12, 14) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (2, 5)(3, 12)(4, 8)(6, 13)(7, 10)(9, 14) , (1, 2)(3, 10)(4, 5)(6, 8)(7, 13)(12, 14) ], [g| (1, 11)(2, 6)(3, 8)(4, 12)(5, 13)(9, 14) , (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (2, 5)(3, 12)(4, 8)(6, 13)(7, 10)(9, 14) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 5)(2, 7)(3, 11)(4, 12)(8, 13)(10, 14) , (1, 10)(2, 14)(3, 12)(4, 5)(8, 9)(11, 13) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 5)(2, 7)(3, 11)(4, 12)(8, 13)(10, 14) , (2, 12)(3, 14)(4, 5)(6, 7)(8, 11)(9, 13) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 6)(3, 7)(4, 10)(5, 11)(8, 12)(9, 14) , (1, 10)(2, 14)(3, 12)(4, 5)(8, 9)(11, 13) ], [g| (1, 12)(2, 13)(3, 9)(5, 11)(6, 8)(7, 14) , (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 6)(3, 7)(4, 10)(5, 11)(8, 12)(9, 14) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 9)(2, 5)(3, 6)(4, 11)(7, 13)(10, 12) , (1, 12)(2, 3)(4, 5)(6, 9)(7, 11)(10, 14) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 9)(2, 5)(3, 6)(4, 11)(7, 13)(10, 12) , (1, 10)(2, 14)(3, 12)(4, 5)(8, 9)(11, 13) ], [g| (1, 10)(2, 3)(6, 7)(8, 13)(9, 11)(12, 14) , (1, 7)(2, 14)(4, 11)(6, 8)(9, 10)(12, 13) , (1, 14)(4, 5)(6, 11)(7, 9)(8, 13)(10, 12) ] ];