g := PGammaU(3,3); invols := [ [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (3, 4)(5, 28)(6, 23)(7, 16)(8, 12)(9, 15)(10, 19)(11, 13)(14, 18)(20, 24)(21, 22)(25, 26) , (1, 22)(2, 13)(3, 6)(4, 16)(5, 12)(7, 17)(8, 10)(11, 25)(14, 15)(18, 20)(19, 24)(23, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (3, 4)(5, 28)(6, 23)(7, 16)(8, 12)(9, 15)(10, 19)(11, 13)(14, 18)(20, 24)(21, 22)(25, 26) , (1, 16)(2, 15)(3, 7)(4, 6)(5, 18)(8, 27)(9, 10)(11, 20)(12, 24)(17, 22)(19, 25)(21, 28) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 23)(2, 18)(3, 16)(4, 21)(6, 25)(7, 17)(8, 26)(9, 11)(10, 24)(13, 28)(14, 20)(15, 27) , (1, 11)(2, 15)(3, 12)(4, 19)(5, 24)(6, 16)(7, 22)(8, 10)(17, 18)(20, 25)(21, 23)(26, 28) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 23)(2, 18)(3, 16)(4, 21)(6, 25)(7, 17)(8, 26)(9, 11)(10, 24)(13, 28)(14, 20)(15, 27) , (1, 6)(2, 14)(3, 22)(4, 7)(5, 11)(9, 27)(12, 25)(13, 15)(16, 17)(18, 24)(19, 20)(23, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 23)(2, 18)(3, 16)(4, 21)(6, 25)(7, 17)(8, 26)(9, 11)(10, 24)(13, 28)(14, 20)(15, 27) , (1, 22)(2, 13)(3, 6)(4, 16)(5, 12)(7, 17)(8, 10)(11, 25)(14, 15)(18, 20)(19, 24)(23, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 23)(2, 18)(3, 16)(4, 21)(6, 25)(7, 17)(8, 26)(9, 11)(10, 24)(13, 28)(14, 20)(15, 27) , (1, 3)(2, 25)(4, 18)(5, 15)(6, 14)(7, 27)(8, 24)(9, 16)(10, 20)(13, 22)(17, 19)(21, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 23)(2, 18)(3, 16)(4, 21)(6, 25)(7, 17)(8, 26)(9, 11)(10, 24)(13, 28)(14, 20)(15, 27) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 23)(2, 18)(3, 16)(4, 21)(6, 25)(7, 17)(8, 26)(9, 11)(10, 24)(13, 28)(14, 20)(15, 27) , (2, 14)(4, 17)(5, 16)(6, 20)(7, 25)(8, 9)(10, 27)(11, 12)(13, 15)(21, 23)(22, 24)(26, 28) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 11)(2, 15)(3, 12)(4, 19)(5, 24)(6, 16)(7, 22)(8, 10)(17, 18)(20, 25)(21, 23)(26, 28) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 27)(2, 17)(3, 9)(4, 15)(5, 25)(7, 24)(8, 12)(10, 11)(13, 19)(14, 18)(16, 20)(26, 28) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 3)(2, 9)(4, 17)(5, 6)(7, 24)(8, 14)(10, 13)(15, 27)(16, 20)(21, 28)(22, 25)(23, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 11)(2, 6)(3, 12)(5, 14)(7, 10)(8, 16)(9, 20)(13, 25)(15, 22)(18, 19)(21, 26)(24, 27) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 11)(2, 8)(3, 12)(4, 18)(6, 22)(7, 16)(9, 13)(10, 15)(14, 27)(17, 19)(21, 28)(23, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 3)(2, 25)(4, 18)(5, 15)(6, 14)(7, 27)(8, 24)(9, 16)(10, 20)(13, 22)(17, 19)(21, 26) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (1, 4)(2, 15)(3, 17)(5, 22)(6, 25)(7, 24)(9, 27)(11, 19)(12, 18)(16, 20)(21, 26)(23, 28) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 27)(2, 12)(4, 11)(5, 15)(6, 18)(7, 13)(8, 23)(9, 24)(14, 17)(16, 25)(19, 28)(21, 22) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) ], [g| (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) , (1, 3)(2, 16)(4, 26)(6, 15)(7, 8)(10, 22)(11, 12)(14, 27)(17, 21)(18, 23)(19, 28)(20, 25) ], [g| (1, 3)(2, 20)(4, 19)(5, 8)(6, 27)(7, 14)(9, 22)(10, 25)(13, 16)(15, 24)(17, 18)(23, 28) , (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) ], [g| (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) , (1, 2)(3, 16)(4, 14)(6, 7)(8, 15)(9, 24)(10, 11)(12, 22)(17, 25)(18, 23)(20, 21)(26, 27) ], [g| (2, 5)(3, 23)(4, 13)(6, 19)(7, 22)(9, 14)(10, 12)(11, 24)(15, 26)(16, 17)(18, 27)(21, 25) , (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) ], [g| (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (1, 13)(2, 21)(3, 20)(5, 24)(6, 26)(7, 19)(9, 12)(10, 18)(11, 25)(14, 27)(15, 22)(17, 28) , (1, 3)(2, 16)(4, 26)(6, 15)(7, 8)(10, 22)(11, 12)(14, 27)(17, 21)(18, 23)(19, 28)(20, 25) ], [g| (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (1, 13)(2, 21)(3, 20)(5, 24)(6, 26)(7, 19)(9, 12)(10, 18)(11, 25)(14, 27)(15, 22)(17, 28) , (3, 12)(4, 20)(5, 28)(6, 8)(7, 15)(9, 18)(13, 19)(14, 21)(16, 22)(17, 25)(23, 24)(26, 27) ], [g| (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (1, 3)(4, 28)(5, 27)(8, 15)(9, 20)(11, 12)(13, 25)(14, 24)(16, 22)(17, 23)(18, 26)(19, 21) , (1, 28)(2, 5)(3, 22)(4, 6)(7, 20)(8, 14)(9, 23)(10, 19)(11, 13)(15, 21)(17, 26)(25, 27) ], [g| (1, 5)(3, 27)(7, 10)(8, 26)(9, 13)(11, 14)(12, 24)(15, 18)(16, 21)(17, 23)(19, 22)(20, 25) , (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (1, 3)(4, 28)(5, 27)(8, 15)(9, 20)(11, 12)(13, 25)(14, 24)(16, 22)(17, 23)(18, 26)(19, 21) ], [g| (1, 10)(2, 11)(3, 22)(4, 20)(5, 13)(6, 7)(8, 15)(12, 16)(14, 21)(17, 27)(19, 28)(25, 26) , (1, 18)(3, 27)(5, 9)(6, 14)(7, 25)(8, 19)(10, 16)(11, 28)(12, 20)(13, 17)(15, 23)(21, 24) , (1, 2)(3, 16)(4, 14)(6, 7)(8, 15)(9, 24)(10, 11)(12, 22)(17, 25)(18, 23)(20, 21)(26, 27) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (2, 26)(3, 19)(4, 22)(5, 16)(6, 11)(8, 27)(9, 10)(12, 20)(13, 21)(14, 28)(15, 23)(17, 24) , (2, 5)(4, 19)(6, 13)(7, 9)(8, 20)(10, 24)(11, 12)(14, 22)(15, 25)(16, 27)(17, 18)(21, 26) , (2, 14)(4, 17)(5, 16)(6, 20)(7, 25)(8, 9)(10, 27)(11, 12)(13, 15)(21, 23)(22, 24)(26, 28) ], [g| (1, 7)(3, 16)(4, 22)(5, 19)(6, 17)(8, 9)(10, 27)(11, 24)(12, 20)(13, 14)(18, 25)(21, 28) , (2, 20)(3, 14)(5, 6)(7, 18)(8, 13)(9, 24)(10, 17)(11, 16)(12, 26)(15, 23)(19, 28)(21, 27) , (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (2, 26)(3, 19)(4, 22)(5, 16)(6, 11)(8, 27)(9, 10)(12, 20)(13, 21)(14, 28)(15, 23)(17, 24) ], [g| (1, 18)(2, 13)(3, 19)(4, 11)(6, 22)(8, 9)(10, 27)(12, 17)(14, 15)(20, 24)(21, 26)(23, 28) , (2, 20)(3, 14)(5, 6)(7, 18)(8, 13)(9, 24)(10, 17)(11, 16)(12, 26)(15, 23)(19, 28)(21, 27) , (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (2, 26)(3, 19)(4, 22)(5, 16)(6, 11)(8, 27)(9, 10)(12, 20)(13, 21)(14, 28)(15, 23)(17, 24) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 20)(2, 18)(3, 13)(4, 23)(5, 27)(6, 19)(7, 26)(9, 11)(10, 21)(12, 25)(14, 24)(15, 22) , (2, 14)(4, 17)(5, 16)(6, 20)(7, 25)(8, 9)(10, 27)(11, 12)(13, 15)(21, 23)(22, 24)(26, 28) , (1, 11)(2, 6)(3, 12)(5, 14)(7, 10)(8, 16)(9, 20)(13, 25)(15, 22)(18, 19)(21, 26)(24, 27) ], [g| (1, 14)(2, 11)(3, 13)(4, 10)(5, 6)(8, 17)(9, 18)(12, 15)(19, 27)(20, 24)(21, 23)(22, 25) , (1, 25)(3, 13)(4, 15)(5, 24)(6, 10)(8, 28)(9, 11)(12, 20)(14, 27)(16, 17)(19, 21)(22, 23) , (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 20)(2, 18)(3, 13)(4, 23)(5, 27)(6, 19)(7, 26)(9, 11)(10, 21)(12, 25)(14, 24)(15, 22) ], [g| (1, 3)(2, 15)(4, 17)(5, 25)(6, 22)(7, 16)(8, 10)(9, 27)(11, 12)(13, 14)(18, 19)(20, 24) , (1, 20)(2, 18)(3, 13)(4, 23)(5, 27)(6, 19)(7, 26)(9, 11)(10, 21)(12, 25)(14, 24)(15, 22) , (1, 16)(2, 15)(3, 7)(4, 6)(5, 18)(8, 27)(9, 10)(11, 20)(12, 24)(17, 22)(19, 25)(21, 28) , (1, 14)(2, 11)(3, 13)(4, 10)(5, 6)(8, 17)(9, 18)(12, 15)(19, 27)(20, 24)(21, 23)(22, 25) ] ];