G:=sub; gens:=[ [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 2, 4, 49, 36, 32, 21, 29)(3, 16)(5, 45, 52, 27, 51, 23, 9, 62)(6, 35, 60, 8, 50, 42, 48, 56)(7, 38, 31, 58, 61, 18, 24, 33)(10, 59)(11, 54, 30, 41, 14, 40, 44, 34)(12, 37)(13, 53, 43, 20)(15, 22, 25, 57)(17, 28, 39, 46, 19, 26, 55, 47) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 23, 56, 45, 36, 46, 39, 11)(2, 34, 62, 37, 31, 54, 47, 40)(3, 10, 7, 35, 28, 58, 27, 57)(4, 25)(5, 44, 8, 50, 51, 49, 22, 24)(6, 42, 60, 33, 30, 17, 26, 38)(9, 14, 52, 29, 20, 61, 21, 32)(12, 41)(13, 53, 59, 55)(15, 18, 43, 19)(16, 48) ], [G| (1, 42, 9)(2, 23, 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59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 2, 18, 28, 5, 60, 10, 29)(3, 54, 30, 41, 44, 40, 14, 34)(4, 32, 22, 23, 9, 62, 39, 61)(6, 56, 27, 20, 26, 55, 47, 52)(7, 38, 31, 36, 49, 58, 46, 53)(8, 15, 21, 59)(11, 16)(12, 37)(13, 19)(17, 24, 57, 50, 42, 48, 35, 45)(25, 33, 43, 51) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 7, 53, 45, 36, 46, 16, 14)(2, 18, 43, 37, 31, 54, 60, 19)(3, 52, 29, 34, 13, 58, 49, 55)(4, 32, 35, 28, 40, 6, 20, 25)(5, 15)(8, 12, 17, 50, 21, 48, 22, 44)(9, 61, 33, 47)(10, 26, 38, 24, 42, 59, 56, 30)(11, 41, 23, 39)(27, 57)(51, 62) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 47)(2, 55, 13, 5, 12, 9, 44, 53)(3, 58, 6, 19, 46, 54, 25, 39)(4, 61, 10, 59, 33, 11, 8, 29)(7, 16, 62, 37, 28, 36, 48, 42)(14, 40, 24, 18, 26, 21, 43, 57)(15, 41, 30, 35)(17, 45, 34, 23, 52, 60, 22, 27)(20, 50)(31, 38, 32, 51)(49, 56) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 28, 4, 44, 33, 47, 22, 7)(2, 54, 31, 9, 61, 37, 6, 56)(3, 55, 49, 58, 29, 52, 62, 51)(5, 15, 53, 48, 18, 59, 38, 45)(8, 25, 39, 11, 20, 43, 21, 50)(10, 30, 40, 14, 36, 26, 41, 23)(12, 17, 24, 42)(13, 34)(16, 60, 19, 46)(27, 57)(32, 35) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 61, 20, 59, 21, 44, 53, 12)(2, 35, 26, 41, 32, 42, 47, 33)(3, 16, 49, 39)(4, 46, 38, 11, 36, 28, 54, 31)(5, 45, 19, 24, 9, 23, 17, 14)(6, 58, 7, 52, 48, 34, 30, 51)(8, 29)(10, 25, 18, 60, 37, 15, 40, 50)(13, 56, 62, 22)(27, 55)(43, 57) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 27, 17, 28, 38, 25, 5, 48)(2, 39, 24, 22, 61, 36, 43, 10)(3, 42, 44, 56)(4, 15, 55, 31, 58, 60, 9, 45)(6, 8, 59, 21, 62, 19, 32, 51)(7, 41, 50, 34, 23, 40, 29, 16)(11, 33)(12, 54)(13, 35, 47, 20, 46, 18, 49, 57)(14, 53, 30, 52)(26, 37) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 60, 22, 27, 4, 12, 35, 46)(2, 51, 25, 54, 44, 8, 30, 53)(3, 58, 61, 16, 7, 18, 31, 38)(5, 49, 17, 45, 57, 14, 40, 13)(6, 19, 62, 56)(9, 26, 36, 11)(10, 59)(15, 21, 23, 52, 29, 37, 28, 42)(20, 50, 39, 43, 55, 48, 41, 47)(24, 33)(32, 34) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 48, 56, 46, 57, 23, 40, 44)(2, 38, 25, 10)(3, 22, 45, 52, 31, 41, 47, 20)(4, 24, 42, 29, 9, 61, 36, 30)(5, 27, 17, 12, 35, 50, 53, 43)(6, 37, 32, 19, 26, 8, 62, 51)(7, 58, 60, 16)(11, 33)(13, 54, 28, 39, 15, 55, 14, 34)(18, 49)(21, 59) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 30, 9, 28, 35, 44, 39, 60, 21, 49)(2, 56, 31, 42, 24, 8, 13, 36, 43, 17)(3, 5, 48, 54, 59, 20, 45, 4, 12, 33)(6, 22, 14, 41, 26, 10, 46, 19, 29, 16)(7, 18, 50, 38, 25, 40, 32, 37, 62, 53)(11, 57, 15, 55, 23, 58, 47, 52, 61, 34)(27, 51) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 3, 19, 27, 40, 32, 10, 11, 55, 28)(2, 56, 23, 36, 47, 17, 44, 41, 14, 18)(4, 59, 21, 43, 9, 15, 20, 13, 52, 12)(5, 46, 42, 26, 54, 29, 38, 60, 39, 62)(6, 35, 31, 37, 48, 58, 49, 22, 24, 51)(7, 8, 30, 53, 50, 57, 45, 34, 61, 33)(16, 25) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 28, 57, 47, 34, 50, 53, 29, 41, 24)(2, 10, 30, 40, 13, 51, 46, 39, 26, 4)(3, 38, 12, 19, 15, 8, 62, 56, 32, 58)(5, 43, 33, 14, 22, 59, 37, 45, 16, 11)(6, 17, 23, 18, 44, 52, 25, 21, 7, 55)(9, 49, 35, 27, 20, 60, 54, 48, 36, 31)(42, 61) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 13, 4, 3, 21, 15, 19, 14, 10, 2)(5, 24, 58, 31, 42, 32, 57, 25, 53, 11)(6, 39, 23, 40, 43, 18, 12, 55, 44, 54)(7, 36, 50, 17, 61, 22, 49, 16, 48, 37)(8, 46, 34, 27, 52, 26, 33, 62, 9, 28)(20, 60, 51, 45, 56, 59, 41, 30, 35, 29)(38, 47) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 29, 56, 61, 53, 44, 9, 59, 20, 11)(2, 34, 7, 22, 12, 55, 45, 41, 27, 5)(3, 37, 30, 38, 47, 51, 15, 36, 24, 10)(4, 26, 39, 28, 18, 25, 33, 50, 8, 49)(6, 19, 31, 57, 14, 42, 60, 35, 23, 16)(13, 17)(21, 32, 54, 43, 40, 48, 52, 62, 58, 46) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 6, 8, 13, 52, 14, 10, 23, 41, 60)(2, 34, 49, 33, 28, 19, 44, 5, 3, 54)(4, 61, 51, 47, 38, 30, 55, 43, 16, 25)(7, 22, 12, 21, 32, 40, 11, 35, 45, 37)(9, 48, 39, 15, 20, 29, 42, 27, 56, 59)(17, 31)(18, 62, 53, 50, 36, 46, 57, 26, 58, 24) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 7, 8, 50, 5, 43, 19, 15, 55, 11)(2, 17, 26, 34, 44, 40, 59, 4, 47, 9)(3, 57)(6, 33, 32, 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39, 13, 53, 32)(7, 36, 25, 18, 12, 55, 24, 21, 44, 16, 48, 34)(31, 58) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 3, 56, 23, 34, 61, 38, 13, 8, 25, 58, 44)(2, 36, 15, 53, 26, 54, 12, 40, 45, 19, 11, 21)(4, 59, 35, 31, 20, 14, 18, 32, 10, 47, 17, 46)(5, 48, 33, 7, 41, 6)(9, 27, 39, 30, 57, 43)(16, 28, 52, 50, 37, 49, 22, 24, 51, 60, 42, 29)(55, 62) ], [G| (1, 42, 9)(2, 23, 32)(3, 43, 45)(4, 36, 18)(5, 20, 16)(6, 59, 14)(7, 47, 12)(8, 52, 53)(10, 56, 40)(11, 27, 60)(13, 62, 50)(15, 46, 25)(17, 33, 58)(19, 57, 39)(21, 51, 34)(24, 49, 61)(26, 28, 31)(29, 44, 48)(35, 41, 54)(37, 55, 38), (1, 13, 5, 28, 18, 27, 41, 25, 54, 11, 38, 6)(2, 4, 26, 37, 60, 36, 32, 42, 14, 53, 44, 34)(3, 39, 24, 22, 61, 56)(7, 8, 59, 55, 31, 16)(9, 23, 51, 47, 20, 50, 19, 45, 40, 49, 57, 62)(10, 43)(12, 21, 29, 33, 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