g := PermutationGroup<42| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 35)(2, 27)(3, 28)(4, 42)(5, 31)(6, 32)(7, 25)(8, 22)(9, 30)(10, 38)(11, 36)(12, 24)(13, 23)(14, 40)(15, 39)(16, 34)(17, 41)(18, 37)(19, 33)(20, 26)(21, 29) , (1, 35)(2, 40)(3, 23)(4, 33)(5, 25)(6, 29)(7, 37)(8, 28)(9, 22)(10, 36)(11, 27)(12, 42)(13, 26)(14, 39)(15, 24)(16, 31)(17, 34)(18, 38)(19, 32)(20, 30)(21, 41) >; invols := [ [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 35)(2, 27)(3, 28)(4, 42)(5, 31)(6, 32)(7, 25)(8, 22)(9, 30)(10, 38)(11, 36)(12, 24)(13, 23)(14, 40)(15, 39)(16, 34)(17, 41)(18, 37)(19, 33)(20, 26)(21, 29) , (1, 35)(2, 40)(3, 23)(4, 33)(5, 25)(6, 29)(7, 37)(8, 28)(9, 22)(10, 36)(11, 27)(12, 42)(13, 26)(14, 39)(15, 24)(16, 31)(17, 34)(18, 38)(19, 32)(20, 30)(21, 41) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 35)(2, 27)(3, 28)(4, 42)(5, 31)(6, 32)(7, 25)(8, 22)(9, 30)(10, 38)(11, 36)(12, 24)(13, 23)(14, 40)(15, 39)(16, 34)(17, 41)(18, 37)(19, 33)(20, 26)(21, 29) , (1, 40)(2, 39)(3, 30)(4, 41)(5, 36)(6, 28)(7, 37)(8, 29)(9, 32)(10, 25)(11, 33)(12, 35)(13, 42)(14, 24)(15, 26)(16, 22)(17, 23)(18, 38)(19, 31)(20, 27)(21, 34) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 35)(2, 27)(3, 28)(4, 42)(5, 31)(6, 32)(7, 25)(8, 22)(9, 30)(10, 38)(11, 36)(12, 24)(13, 23)(14, 40)(15, 39)(16, 34)(17, 41)(18, 37)(19, 33)(20, 26)(21, 29) , (1, 36)(2, 24)(3, 33)(4, 23)(5, 26)(6, 34)(7, 22)(8, 27)(9, 31)(10, 40)(11, 41)(12, 39)(13, 35)(14, 42)(15, 25)(16, 37)(17, 30)(18, 38)(19, 32)(20, 28)(21, 29) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 35)(2, 27)(3, 28)(4, 42)(5, 31)(6, 32)(7, 25)(8, 22)(9, 30)(10, 38)(11, 36)(12, 24)(13, 23)(14, 40)(15, 39)(16, 34)(17, 41)(18, 37)(19, 33)(20, 26)(21, 29) , (1, 40)(2, 24)(3, 28)(4, 29)(5, 42)(6, 23)(7, 32)(8, 33)(9, 31)(10, 39)(11, 41)(12, 36)(13, 35)(14, 25)(15, 26)(16, 22)(17, 30)(18, 38)(19, 37)(20, 27)(21, 34) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 25)(2, 36)(3, 28)(4, 24)(5, 29)(6, 32)(7, 23)(8, 27)(9, 33)(10, 30)(11, 22)(12, 37)(13, 35)(14, 40)(15, 41)(16, 39)(17, 34)(18, 42)(19, 38)(20, 31)(21, 26) , (1, 42)(2, 36)(3, 35)(4, 24)(5, 34)(6, 26)(7, 31)(8, 40)(9, 32)(10, 27)(11, 28)(12, 30)(13, 25)(14, 41)(15, 39)(16, 37)(17, 29)(18, 38)(19, 22)(20, 23)(21, 33) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 25)(2, 36)(3, 28)(4, 24)(5, 29)(6, 32)(7, 23)(8, 27)(9, 33)(10, 30)(11, 22)(12, 37)(13, 35)(14, 40)(15, 41)(16, 39)(17, 34)(18, 42)(19, 38)(20, 31)(21, 26) , (1, 39)(2, 25)(3, 24)(4, 35)(5, 27)(6, 40)(7, 31)(8, 26)(9, 32)(10, 34)(11, 29)(12, 41)(13, 36)(14, 30)(15, 42)(16, 37)(17, 28)(18, 38)(19, 22)(20, 33)(21, 23) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 25)(2, 36)(3, 28)(4, 24)(5, 29)(6, 32)(7, 23)(8, 27)(9, 33)(10, 30)(11, 22)(12, 37)(13, 35)(14, 40)(15, 41)(16, 39)(17, 34)(18, 42)(19, 38)(20, 31)(21, 26) , (1, 33)(2, 29)(3, 41)(4, 30)(5, 40)(6, 27)(7, 31)(8, 34)(9, 32)(10, 26)(11, 25)(12, 24)(13, 28)(14, 35)(15, 23)(16, 37)(17, 36)(18, 38)(19, 22)(20, 39)(21, 42) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 25)(2, 36)(3, 28)(4, 24)(5, 29)(6, 32)(7, 23)(8, 27)(9, 33)(10, 30)(11, 22)(12, 37)(13, 35)(14, 40)(15, 41)(16, 39)(17, 34)(18, 42)(19, 38)(20, 31)(21, 26) , (1, 35)(2, 40)(3, 23)(4, 33)(5, 25)(6, 29)(7, 37)(8, 28)(9, 22)(10, 36)(11, 27)(12, 42)(13, 26)(14, 39)(15, 24)(16, 31)(17, 34)(18, 38)(19, 32)(20, 30)(21, 41) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 40)(2, 37)(3, 28)(4, 36)(5, 24)(6, 23)(7, 32)(8, 31)(9, 27)(10, 34)(11, 39)(12, 38)(13, 35)(14, 25)(15, 22)(16, 30)(17, 26)(18, 29)(19, 42)(20, 33)(21, 41) , (1, 27)(2, 29)(3, 42)(4, 39)(5, 30)(6, 35)(7, 31)(8, 24)(9, 37)(10, 41)(11, 25)(12, 23)(13, 28)(14, 33)(15, 34)(16, 22)(17, 36)(18, 38)(19, 32)(20, 40)(21, 26) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 40)(2, 37)(3, 28)(4, 36)(5, 24)(6, 23)(7, 32)(8, 31)(9, 27)(10, 34)(11, 39)(12, 38)(13, 35)(14, 25)(15, 22)(16, 30)(17, 26)(18, 29)(19, 42)(20, 33)(21, 41) , (1, 42)(2, 35)(3, 34)(4, 27)(5, 36)(6, 28)(7, 37)(8, 29)(9, 31)(10, 25)(11, 30)(12, 26)(13, 24)(14, 40)(15, 39)(16, 32)(17, 41)(18, 38)(19, 22)(20, 23)(21, 33) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 40)(2, 37)(3, 28)(4, 36)(5, 24)(6, 23)(7, 32)(8, 31)(9, 27)(10, 34)(11, 39)(12, 38)(13, 35)(14, 25)(15, 22)(16, 30)(17, 26)(18, 29)(19, 42)(20, 33)(21, 41) , (1, 34)(2, 28)(3, 39)(4, 42)(5, 41)(6, 24)(7, 31)(8, 35)(9, 37)(10, 30)(11, 36)(12, 33)(13, 29)(14, 23)(15, 27)(16, 22)(17, 25)(18, 38)(19, 32)(20, 26)(21, 40) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 40)(2, 37)(3, 28)(4, 36)(5, 24)(6, 23)(7, 32)(8, 31)(9, 27)(10, 34)(11, 39)(12, 38)(13, 35)(14, 25)(15, 22)(16, 30)(17, 26)(18, 29)(19, 42)(20, 33)(21, 41) , (1, 29)(2, 23)(3, 34)(4, 27)(5, 24)(6, 41)(7, 22)(8, 30)(9, 37)(10, 35)(11, 42)(12, 26)(13, 33)(14, 40)(15, 28)(16, 32)(17, 39)(18, 38)(19, 31)(20, 25)(21, 36) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 40)(2, 37)(3, 28)(4, 36)(5, 24)(6, 23)(7, 32)(8, 31)(9, 27)(10, 34)(11, 39)(12, 38)(13, 35)(14, 25)(15, 22)(16, 30)(17, 26)(18, 29)(19, 42)(20, 33)(21, 41) , (1, 40)(2, 25)(3, 23)(4, 33)(5, 35)(6, 30)(7, 31)(8, 41)(9, 37)(10, 24)(11, 29)(12, 42)(13, 36)(14, 39)(15, 26)(16, 22)(17, 28)(18, 38)(19, 32)(20, 27)(21, 34) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 27)(2, 29)(3, 42)(4, 39)(5, 30)(6, 35)(7, 31)(8, 24)(9, 37)(10, 41)(11, 25)(12, 23)(13, 28)(14, 33)(15, 34)(16, 22)(17, 36)(18, 38)(19, 32)(20, 40)(21, 26) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 36)(2, 24)(3, 33)(4, 23)(5, 26)(6, 34)(7, 22)(8, 27)(9, 31)(10, 40)(11, 41)(12, 39)(13, 35)(14, 42)(15, 25)(16, 37)(17, 30)(18, 38)(19, 32)(20, 28)(21, 29) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 39)(2, 24)(3, 27)(4, 34)(5, 25)(6, 29)(7, 37)(8, 28)(9, 31)(10, 36)(11, 41)(12, 40)(13, 35)(14, 26)(15, 42)(16, 32)(17, 30)(18, 38)(19, 22)(20, 33)(21, 23) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 42)(2, 34)(3, 36)(4, 25)(5, 35)(6, 30)(7, 32)(8, 41)(9, 37)(10, 24)(11, 26)(12, 28)(13, 27)(14, 29)(15, 39)(16, 31)(17, 40)(18, 38)(19, 22)(20, 23)(21, 33) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 40)(2, 39)(3, 30)(4, 41)(5, 36)(6, 28)(7, 37)(8, 29)(9, 32)(10, 25)(11, 33)(12, 35)(13, 42)(14, 24)(15, 26)(16, 22)(17, 23)(18, 38)(19, 31)(20, 27)(21, 34) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 26)(2, 36)(3, 33)(4, 23)(5, 24)(6, 41)(7, 31)(8, 30)(9, 37)(10, 35)(11, 28)(12, 39)(13, 25)(14, 42)(15, 40)(16, 22)(17, 29)(18, 38)(19, 32)(20, 34)(21, 27) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 40)(2, 25)(3, 23)(4, 33)(5, 35)(6, 30)(7, 31)(8, 41)(9, 37)(10, 24)(11, 29)(12, 42)(13, 36)(14, 39)(15, 26)(16, 22)(17, 28)(18, 38)(19, 32)(20, 27)(21, 34) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 34)(2, 26)(3, 27)(4, 24)(5, 40)(6, 36)(7, 42)(8, 31)(9, 33)(10, 30)(11, 29)(12, 25)(13, 35)(14, 22)(15, 41)(16, 23)(17, 37)(18, 39)(19, 38)(20, 28)(21, 32) , (1, 41)(2, 36)(3, 27)(4, 34)(5, 23)(6, 42)(7, 31)(8, 39)(9, 22)(10, 33)(11, 28)(12, 40)(13, 25)(14, 26)(15, 30)(16, 32)(17, 29)(18, 38)(19, 37)(20, 24)(21, 35) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 23)(19, 22)(20, 39)(21, 42) , (1, 41)(2, 42)(3, 25)(4, 36)(5, 26)(6, 34)(7, 32)(8, 27)(9, 22)(10, 40)(11, 23)(12, 29)(13, 39)(14, 28)(15, 30)(16, 37)(17, 33)(18, 38)(19, 31)(20, 24)(21, 35) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 23)(19, 22)(20, 39)(21, 42) , (1, 27)(2, 33)(3, 35)(4, 24)(5, 28)(6, 36)(7, 37)(8, 25)(9, 32)(10, 29)(11, 39)(12, 30)(13, 23)(14, 41)(15, 34)(16, 22)(17, 42)(18, 38)(19, 31)(20, 40)(21, 26) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 23)(19, 22)(20, 39)(21, 42) , (1, 27)(2, 29)(3, 42)(4, 39)(5, 30)(6, 35)(7, 31)(8, 24)(9, 37)(10, 41)(11, 25)(12, 23)(13, 28)(14, 33)(15, 34)(16, 22)(17, 36)(18, 38)(19, 32)(20, 40)(21, 26) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 23)(19, 22)(20, 39)(21, 42) , (1, 40)(2, 39)(3, 30)(4, 41)(5, 36)(6, 28)(7, 37)(8, 29)(9, 32)(10, 25)(11, 33)(12, 35)(13, 42)(14, 24)(15, 26)(16, 22)(17, 23)(18, 38)(19, 31)(20, 27)(21, 34) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 23)(19, 22)(20, 39)(21, 42) , (1, 34)(2, 28)(3, 39)(4, 42)(5, 41)(6, 24)(7, 31)(8, 35)(9, 37)(10, 30)(11, 36)(12, 33)(13, 29)(14, 23)(15, 27)(16, 22)(17, 25)(18, 38)(19, 32)(20, 26)(21, 40) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 23)(19, 22)(20, 39)(21, 42) , (1, 29)(2, 30)(3, 42)(4, 39)(5, 27)(6, 40)(7, 22)(8, 26)(9, 31)(10, 34)(11, 35)(12, 23)(13, 41)(14, 33)(15, 28)(16, 37)(17, 24)(18, 38)(19, 32)(20, 25)(21, 36) ], [g| (1, 21)(2, 17)(3, 14)(4, 12)(5, 8)(6, 10)(11, 13)(15, 20)(23, 39)(24, 30)(25, 28)(26, 27)(29, 36)(33, 42)(34, 40)(35, 41) , (1, 38)(2, 31)(3, 37)(4, 41)(5, 32)(6, 25)(7, 28)(8, 35)(9, 26)(10, 40)(11, 24)(12, 27)(13, 29)(14, 36)(15, 33)(16, 30)(17, 34)(18, 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