Finite Group Databasebeta

← Group #17954818

Character table — Group #17954818

Order 4352.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111224444444444444444444444444444444444448161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163434343468686868136136136136136136136136136136136136136136136136136272272
order122222444417171717343434343434343434343434343434343434343434343434343434344446868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868686868444422442444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ51111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ9111111-1-11111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-111-1-111-1-111-1-111-1-11-1
χ10111111-1-11111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-111-1-111-1-111-1-1111-1
χ11111111-1-11111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii-11
χ12111111-1-11111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−i-11
χ13111111-1-11111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-1-1-111-1-111-11
χ14111111-1-11111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-111-1-1-11
χ15111111-1-11111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111ii−i−i−i−iii−i−iiiii−i−i1-1
χ16111111-1-11111111111111111111111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111−i−iiiii−i−iii−i−i−i−iii1-1
χ1722222222-2-222222222222222222222222222222222-2000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000002222-2-222-2000000000000000000
χ1822222222-2-222222222222222222222222222222222-2000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-222-2-22000000000000000000
χ19222222-2-2-2-2222222222222222222222222222222222000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-22000000000000000000
χ20222222-2-2-2-2222222222222222222222222222222222000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-22222-2000000000000000000
χ212222-2-2002-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000002222-2-2-2-20000000000000000000000000000000022-2-22-200000000000002i−2i002i−2i00
χ222222-2-2002-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000002222-2-2-2-20000000000000000000000000000000022-2-22-20000000000000−2i2i00−2i2i00
χ232222-2-2002-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000002222-2-2-2-200000000000000000000000000000000-2-222-2200000000000002-200-2200
χ242222-2-2002-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000002222-2-2-2-200000000000000000000000000000000-2-222-220000000000000-22002-200
χ252222-2-200-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000-2-2-2-222220000000000000000000000000000000022-2-2-22000000000002i−2i002i−2i0000
χ262222-2-200-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000-2-2-2-222220000000000000000000000000000000022-2-2-2200000000000−2i2i00−2i2i0000
χ272222-2-200-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000-2-2-2-2222200000000000000000000000000000000-2-2222-2000000000002-200-220000
χ282222-2-200-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000-2-2-2-2222200000000000000000000000000000000-2-2222-200000000000-22002-20000
χ2922-2-22-22-2002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000002222-2-2-2-200000000000000002i−2i2i−2i002i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ3022-2-22-22-2002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000002222-2-2-2-200000000000000002i−2i2i−2i002i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ3122-2-22-22-2002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000002222-2-2-2-20000000000000000−2i2i−2i2i00−2i2i01−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ3222-2-22-22-2002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000002222-2-2-2-20000000000000000−2i2i−2i2i00−2i2i0−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ3322-2-22-2-22002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000-2-2-2-2222200000000000000002i−2i2i−2i00−2i2i01+i−1−i−1−i1+i1−i−1+i−1+i1−i0000000000
χ3422-2-22-2-22002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000-2-2-2-2222200000000000000002i−2i2i−2i00−2i2i0−1−i1+i1+i−1−i−1+i1−i1−i−1+i0000000000
χ3522-2-22-2-22002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000-2-2-2-222220000000000000000−2i2i−2i2i002i−2i01−i−1+i−1+i1−i1+i−1−i−1−i1+i0000000000
χ3622-2-22-2-22002222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000000-2-2-2-222220000000000000000−2i2i−2i2i002i−2i0−1+i1−i1−i−1+i−1−i1+i1+i−1−i0000000000
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χ384444444444−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−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−ζ664-4-4ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ2+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−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−ζ66ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ18+ζ30+ζ38+ζ50ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ6+ζ10+ζ58+ζ62ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ14+ζ22+ζ46+ζ54ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66ζ2+ζ26+ζ42+ζ66000000000000000000000000000
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χ1288-8-88000000−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ50−2ζ2+2ζ26+2ζ42−2ζ662ζ2−2ζ26−2ζ42+2ζ662ζ14−2ζ22−2ζ46+2ζ54−2ζ14+2ζ22+2ζ46−2ζ54−2ζ6+2ζ10+2ζ58−2ζ622ζ6−2ζ10−2ζ58+2ζ622ζ18−2ζ30−2ζ38+2ζ50−2ζ18+2ζ30+2ζ38−2ζ502ζ2−2ζ26−2ζ42+2ζ66−2ζ2+2ζ26+2ζ42−2ζ66−2ζ14+2ζ22+2ζ46−2ζ542ζ14−2ζ22−2ζ46+2ζ542ζ6−2ζ10−2ζ58+2ζ62−2ζ6+2ζ10+2ζ58−2ζ62−2ζ18+2ζ30+2ζ38−2ζ502ζ18−2ζ30−2ζ38+2ζ50−2ζ2−2ζ26−2ζ42−2ζ66−2ζ14−2ζ22−2ζ46−2ζ54−2ζ6−2ζ10−2ζ58−2ζ62−2ζ18−2ζ30−2ζ38−2ζ502ζ2+2ζ26+2ζ42+2ζ662ζ14+2ζ22+2ζ46+2ζ542ζ6+2ζ10+2ζ58+2ζ622ζ18+2ζ30+2ζ38+2ζ5000000000000000000000000000000000000000000002ζ43−2ζ59−2ζ43+2ζ592ζ15−2ζ19−2ζ15+2ζ192ζ3−2ζ31−2ζ3+2ζ312ζ39−2ζ63−2ζ39+2ζ632ζ7−2ζ27−2ζ7+2ζ272ζ11−2ζ23−2ζ11+2ζ232ζ35−2ζ67−2ζ35+2ζ672ζ47−2ζ55−2ζ47+2ζ55000000000000000000000000000

Here ζ is a primitive root of unity of order 68 (ζ68 = 1); i = ζ17.