Finite Group Databasebeta

← Group #17961924

Character table — Group #17961924

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size112444444444444488888888888888816161616161616161616161616161616161616161616161616161616161616161617173232323232323232323232323468686868686868686868686868136136136136136136136272272272272272
order122222241717171734343434244343434343434343434343434434343434343434343434343434343434343434346868686868686868686868682268686868686868686868686822222444444444244444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1ii−i−iii−i−i-1-1-1-1i−ii−i-1i−ii−i
χ41111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1−i−iii−i−iii-1-1-1-1−ii−ii-1−ii−ii
χ51111111111111111-1-11111111111111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111111-1-1-1-1-1
χ61111111111111111-1-11111111111111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-11111
χ71111111111111111-1-11111111111111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-111-1i−ii−i1−ii−ii
χ81111111111111111-1-11111111111111-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-111-1−ii−ii1i−ii−i
χ91111-1-1111111111111-1111111111111-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1111-1-1-111-111-1-1
χ101111-1-1111111111111-1111111111111-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-11111111-111-1-1-1-1-111
χ111111-1-1111111111111-1111111111111-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1ii−i−i−i−iii-1-1-11−iii−i1i−i−ii
χ121111-1-1111111111111-1111111111111-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1−i−iiiii−i−i-1-1-11i−i−ii1−iii−i
χ131111-1-11111111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111111-1-1-1-11-1-1-1-1-1111-1-111
χ141111-1-11111111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11-1-1-1-111111-1-1-111-1-1111-1-1
χ151111-1-11111111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1ii−i−i−i−iii-1111−iii−i-1−iii−i
χ161111-1-11111111111-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1−i−iiiii−i−i-1111i−i−ii-1i−i−ii
χ17222200-2-2222222220002222-2-2-2-2-2-2-2-2022220000000000000000-2-2-2-200000000220000000000002-200222220000-200000-2-200000
χ18222200-2-2222222220002222-2-2-2-2-2-2-2-2022220000000000000000-2-2-2-200000000220000000000002-2002-2-2-2-20000-2000002200000
χ19222200-2-2222222220002222-2-2-2-2-2-2-2-2022220000000000000000-2-2-2-200000000-2-2000000000000-2200-22i2i−2i−2i0000200000−2i2i00000
χ20222200-2-2222222220002222-2-2-2-2-2-2-2-2022220000000000000000-2-2-2-200000000-2-2000000000000-2200-2−2i−2i2i2i00002000002i−2i00000
χ21222-200-22222222220002222-2-2-2-2-2-2-2-20-2-2-2-20000000000000000222200000000220000000000002-200-2000022222000-2-20000000
χ22222-200-22222222220002222-2-2-2-2-2-2-2-20-2-2-2-20000000000000000222200000000220000000000002-200-20000-2-2-2-22000220000000
χ23222-200-22222222220002222-2-2-2-2-2-2-2-20-2-2-2-20000000000000000222200000000-2-2000000000000-2200200002i2i−2i−2i-2000−2i2i0000000
χ24222-200-22222222220002222-2-2-2-2-2-2-2-20-2-2-2-20000000000000000222200000000-2-2000000000000-220020000−2i−2i2i2i-20002i−2i0000000
χ25222-2222-22222222200-22222222222220-2-2-2-22222222200000000-2-2-2-20000000022-2-2-2-2000000002222-200000000-200-2000000000
χ26222-2222-22222222200-22222222222220-2-2-2-22222222200000000-2-2-2-200000000-2-2-2-2-2-200000000-2-2-2-22000000002002000000000
χ27222-2-2-22-2222222220022222222222220-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2000000002222220000000022-2-2-200000000-2002000000000
χ28222-2-2-22-2222222220022222222222220-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200000000-2-2222200000000-2-222200000000200-2000000000
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χ3144444444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ544−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ5400−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ5400000000000000000000000000
χ3244444444−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54-4-44−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54-4−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ5400−ζ6−ζ10−ζ58−ζ62−ζ2−ζ26−ζ42−ζ66−ζ18−ζ30−ζ38−ζ50−ζ14−ζ22−ζ46−ζ54ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ5400000000000000000000000000
χ3344444444−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62444−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ624−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ6200−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ14−ζ22−ζ46−ζ54−ζ14−ζ22−ζ46−ζ54−ζ18−ζ30−ζ38−ζ50−ζ18−ζ30−ζ38−ζ50−ζ2−ζ26−ζ42−ζ66−ζ2−ζ26−ζ42−ζ66−ζ6−ζ10−ζ58−ζ62−ζ6−ζ10−ζ58−ζ6200000000000000000000000000
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Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.