Finite Group Databasebeta

← Group #17976118

Character table — Group #17976118

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size11222444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161617173232323232323232323232323434343434343434343434686868686868686868686868686868686868136136136136136136136136136136136136
order12244224444171717173434343424883434343468686868686868683434343434343434686868686868686868686868686868686868686868686868443434343413613613613613613613613622444444444224444444488888888244444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1−i−iii-1-1−i−iii
χ5111111111-1-111111111-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-11111-1-11-11-111-1-111-1-11-11-11-1-1-11-11-1
χ6111111111-1-111111111-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111111-1-1-11-11-1-111-1-1111-1-11-11-1-1-11-11
χ7111111111-1-111111111-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-111i−i−iiii−i−i−i−iii-11i−i−ii11i−i−ii
χ8111111111-1-111111111-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-111−iii−i−i−iiiii−i−i-11−iii−i11−iii−i
χ9111111-11-11111111111-1-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111111111-11-111111111-1-111-1-1-1-1-11-111-1-1-1-1-1
χ10111111-11-11111111111-1-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-111-1-11-11-11-11111
χ11111111-11-11111111111-1-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1iiii−i−i−i−i-11-11-1-1ii−i−iii−i−i−i−iii11−iii−i-11−i−iii
χ12111111-11-11111111111-1-11-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1−i−i−i−iiiii-11-11-1-1−i−iii−i−iiiii−i−i11i−i−ii-11ii−i−i
χ13111111-11-1-1-1111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-1-111-1-11-11-1-1-11-11-111111111-11-1-1-1-1-11-11-11
χ14111111-11-1-1-1111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-111-1-1111-11-1-1-1-11-11-1-1-1-1-1-1-1-1-111111-111-11-1
χ15111111-11-1-1-1111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1ii−i−i−i−iii-11-1111i−i−iiiiii−i−i−i−i1-1−i−iii1-1−iii−i
χ16111111-11-1-1-1111111111-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1−i−iiiii−i−i-11-1111−iii−i−i−i−i−iiiii1-1ii−i−i1-1i−i−ii
χ1711111-11-111111111111-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111-11-11111111-1-111-1-111-1-11-11-1-11-1-1-1-1
χ1811111-11-111111111111-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-111-1-1-1-1-11-11-111111
χ1911111-11-111111111111-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1iiii−i−i−i−i1-11-1-1-1ii−i−i−i−iiiii−i−i11i−i−ii1-1−i−iii
χ2011111-11-111111111111-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1−i−i−i−iiiii1-11-1-1-1−i−iiiii−i−i−i−iii11−iii−i1-1ii−i−i
χ2111111-11-11-1-1111111111-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-111-1-1-11-11-1-11-11-1-1-1-1-1-1-1-1-1-1111111-1-11-11
χ2211111-11-11-1-1111111111-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111-1-111-11-11-1-1-11-1111111111-11-1-1-1-11-11-11-1
χ2311111-11-11-1-1111111111-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1ii−i−i−i−iii1-11-111i−i−ii−i−i−i−iiiii1-1ii−i−i-11−iii−i
χ2411111-11-11-1-1111111111-11-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1−i−iiiii−i−i1-11-111−iii−iiiii−i−i−i−i1-1−i−iii-11i−i−ii
χ2511111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ2611111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1
χ2711111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1ii−i−i−i−i−i−iiiii-1-1−i−iii11ii−i−i
χ2811111-1-1-1-1111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1−i−iiiiiii−i−i−i−i-1-1ii−i−i11−i−iii
χ2911111-1-1-1-1-1-111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-1111-1-11-11111-11-1
χ3011111-1-1-1-1-1-111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-11-1111-1-111-1-11-11-11-111-11-11
χ3111111-1-1-1-1-1-111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1ii−i−i−i−iii111111i−i−ii−i−iiiii−i−i-11−iii−i-1-1i−i−ii
χ3211111-1-1-1-1-1-111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1−i−iiiii−i−i111111−iii−iii−i−i−i−iii-11i−i−ii-1-1−iii−i
χ3322-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000220000000000002-2-2002200220-202000-20-2002-2002-2000000000000
χ3422-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000220000000000002-2-200-2-200-2-20-20200020200-2200-22000000000000
χ3522-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000-2-2000000000000-222002i2i00−2i−2i020-2000−2i02i002i−2i00−2i2i000000000000
χ3622-22-2020-200222222220000-2-2-2-22222-2-2-2-2000022220000-2-2-2-20000000000000000-2-2000000000000-22200−2i−2i002i2i020-20002i0−2i00−2i2i002i−2i000000000000
χ3722-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000220000000000002-2-200220022020-2000-20-200-2200-22000000000000
χ3822-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000220000000000002-2-200-2-200-2-2020-2000202002-2002-2000000000000
χ3922-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000-2-2000000000000-222002i2i00−2i−2i0-202000−2i02i00−2i2i002i−2i000000000000
χ4022-22-20-20200222222220000-2-2-2-22222-2-2-2-20000-2-2-2-2000022220000000000000000-2-2000000000000-22200−2i−2i002i2i0-2020002i0−2i002i−2i00−2i2i000000000000
χ4122-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000000022000000000000-22-222002200-202000-20-202-2002-200000000000000
χ4222-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000000022000000000000-22-2-2-200-2-200-2020002020-2200-2200000000000000
χ4322-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-200000000000000000000-2-20000000000002-222i2i00−2i−2i0020-2000−2i02i02i−2i00−2i2i00000000000000
χ4422-2-2220-2000222222220000-2-2-2-2-2-2-2-2222222220000-2-2-2-200000000000000000000-2-20000000000002-22−2i−2i002i2i0020-20002i0−2i0−2i2i002i−2i00000000000000
χ4522-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-2000022220000000000000000000022000000000000-22-22200220020-2000-20-20-2200-2200000000000000
χ4622-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-2000022220000000000000000000022000000000000-22-2-2-200-2-20020-200020202-2002-200000000000000
χ4722-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-20000222200000000000000000000-2-20000000000002-222i2i00−2i−2i00-202000−2i02i0−2i2i002i−2i00000000000000
χ4822-2-22-202000222222220000-2-2-2-2-2-2-2-22222-2-2-2-20000222200000000000000000000-2-20000000000002-22−2i−2i002i2i00-2020002i0−2i02i−2i00−2i2i00000000000000
χ4944444444444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ664444−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ6600−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ2−ζ26−ζ42−ζ6600000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.