Finite Group Databasebeta

← Group #13166856

Character table — Group #13166856

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112444444812121212121212121818242436361124444448121212121212121218182424363611244444481212121212121212181824243636112444444812121212121212121818242436361124444448121212121212121218182424363611244444481212121212121212181824243636
order12233666662444121212122261244366336666661212121212121266612121236633666666121212121212126661212122226666666244412121212226124466666666666121212121212126661212126666666666612121212121212666121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1
χ31111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-11111111111-1-111111111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-111
χ511-1111-11-1-11-1i−iii−i−i1-11-1i−i11-1111-11-1-11-1i−iii−i−i1-11-1i−i11-1111-11-1-11-1i−iii−i−i1-11-1i−i11-1111-11-1-11-1i−iii−i−i1-11-1i−i11-1111-11-1-11-1i−iii−i−i1-11-1i−i11-1111-11-1-11-1i−iii−i−i1-11-1i−i
χ611-1111-11-1-11-1−ii−i−iii1-11-1−ii11-1111-11-1-11-1−ii−i−iii1-11-1−ii11-1111-11-1-11-1−ii−i−iii1-11-1−ii11-1111-11-1-11-1−ii−i−iii1-11-1−ii11-1111-11-1-11-1−ii−i−iii1-11-1−ii11-1111-11-1-11-1−ii−i−iii1-11-1−ii
χ711-1111-11-1-1-11i−iii−i−i1-1-11−ii11-1111-11-1-1-11i−iii−i−i1-1-11−ii11-1111-11-1-1-11i−iii−i−i1-1-11−ii11-1111-11-1-1-11i−iii−i−i1-1-11−ii11-1111-11-1-1-11i−iii−i−i1-1-11−ii11-1111-11-1-1-11i−iii−i−i1-1-11−ii
χ811-1111-11-1-1-11−ii−i−iii1-1-11i−i11-1111-11-1-1-11−ii−i−iii1-1-11i−i11-1111-11-1-1-11−ii−i−iii1-1-11i−i11-1111-11-1-1-11−ii−i−iii1-1-11i−i11-1111-11-1-1-11−ii−i−iii1-1-11i−i11-1111-11-1-1-11−ii−i−iii1-1-11i−i
χ9222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000222222222200000000-2-20000
χ1022-2222-22-2-200000000-22000022-2222-22-2-200000000-22000022-2222-22-2-200000000-22000022-2222-22-2-200000000-22000022-2222-22-2-200000000-22000022-2222-22-2-200000000-220000
χ114441-211-21-20022-1-1-1-10000004441-211-21-20022-1-1-1-10000004441-211-21-20022-1-1-1-10000004441-211-21-20022-1-1-1-10000004441-211-21-20022-1-1-1-10000004441-211-21-20022-1-1-1-1000000
χ124441-211-21-200-2-211110000004441-211-21-200-2-211110000004441-211-21-200-2-211110000004441-211-21-200-2-211110000004441-211-21-200-2-211110000004441-211-21-200-2-21111000000
χ13444-21-2-21-212200000000-1-100444-21-2-21-212200000000-1-100444-21-2-21-212200000000-1-100444-21-2-21-212200000000-1-100444-21-2-21-212200000000-1-100444-21-2-21-212200000000-1-100
χ14444-21-2-21-21-2-2000000001100444-21-2-21-21-2-2000000001100444-21-2-21-21-2-2000000001100444-21-2-21-21-2-2000000001100444-21-2-21-21-2-2000000001100444-21-2-21-21-2-2000000001100
χ1544-41-21-1-2-12002i−2i−i−iii00000044-41-21-1-2-12002i−2i−i−iii00000044-41-21-1-2-12002i−2i−i−iii00000044-41-21-1-2-12002i−2i−i−iii00000044-41-21-1-2-12002i−2i−i−iii00000044-41-21-1-2-12002i−2i−i−iii000000
χ1644-41-21-1-2-1200−2i2iii−i−i00000044-41-21-1-2-1200−2i2iii−i−i00000044-41-21-1-2-1200−2i2iii−i−i00000044-41-21-1-2-1200−2i2iii−i−i00000044-41-21-1-2-1200−2i2iii−i−i00000044-41-21-1-2-1200−2i2iii−i−i000000
χ1744-4-21-2212-12-200000000-110044-4-21-2212-12-200000000-110044-4-21-2212-12-200000000-110044-4-21-2212-12-200000000-110044-4-21-2212-12-200000000-110044-4-21-2212-12-200000000-1100
χ1844-4-21-2212-1-22000000001-10044-4-21-2212-1-22000000001-10044-4-21-2212-1-22000000001-10044-4-21-2212-1-22000000001-10044-4-21-2212-1-22000000001-10044-4-21-2212-1-22000000001-100
χ194-401-2-132-300000−i3i3−i3i30000004-401-2-132-300000−i3i3−i3i30000004-401-2-132-300000−i3i3−i3i30000004-401-2-132-300000−i3i3−i3i30000004-401-2-132-300000−i3i3−i3i30000004-401-2-132-300000−i3i3−i3i3000000
χ204-401-2-132-300000i3−i3i3−i30000004-401-2-132-300000i3−i3i3−i30000004-401-2-132-300000i3−i3i3−i30000004-401-2-132-300000i3−i3i3−i30000004-401-2-132-300000i3−i3i3−i30000004-401-2-132-300000i3−i3i3−i3000000
χ214-401-2-1-323000003−3−330000004-401-2-1-323000003−3−330000004-401-2-1-323000003−3−330000004-401-2-1-323000003−3−330000004-401-2-1-323000003−3−330000004-401-2-1-323000003−3−33000000
χ224-401-2-1-32300000−333−30000004-401-2-1-32300000−333−30000004-401-2-1-32300000−333−30000004-401-2-1-32300000−333−30000004-401-2-1-32300000−333−30000004-401-2-1-32300000−333−3000000
χ234-4044-40-400000000000000004-4044-40-400000000000000004-4044-40-400000000000000004-4044-40-400000000000000004-4044-40-400000000000000004-4044-40-40000000000000000
χ248-80-4240-200000000000000008-80-4240-200000000000000008-80-4240-200000000000000008-80-4240-200000000000000008-80-4240-200000000000000008-80-4240-20000000000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32111111111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ271111111111-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321111111111-1-111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ281111111111-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321111111111-1-1-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ2911-1111-11-1-11-1i−iii−i−i1-11-1i−i−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ1111-1111-11-1-11-1i−iii−i−i1-11-1i−i−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11
χ3011-1111-11-1-11-1−ii−i−iii1-11-1−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ1111-1111-11-1-11-1−ii−i−iii1-11-1−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11
χ3111-1111-11-1-1-11i−iii−i−i1-1-11−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ1111-1111-11-1-1-11i−iii−i−i1-1-11−ii−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11
χ3211-1111-11-1-1-11−ii−i−iii1-1-11i−i−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ1111-1111-11-1-1-11−ii−i−iii1-1-11i−i−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11
χ33222222222200000000-2-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i30000222222222200000000-2-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i30000
χ3422-2222-22-2-200000000-220000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3000000001−i3−1+i30000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3000000001+i3−1−i3000022-2222-22-2-200000000-220000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3000000001−i3−1+i30000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3000000001+i3−1−i30000
χ354441-211-21-20022-1-1-1-1000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i300−1+i3−1+i31−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i300−1−i3−1−i31+i321+i321+i321+i320000004441-211-21-20022-1-1-1-1000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i300−1+i3−1+i31−i321−i321−i321−i32000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i300−1−i3−1−i31+i321+i321+i321+i32000000
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χ37444-21-2-21-212200000000-1-100−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i3000000001−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i3000000001+i321+i3200444-21-2-21-212200000000-1-100−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i3000000001−i321−i3200−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i3000000001+i321+i3200
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χ121111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ122111111111111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1231111111111-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1241111111111-1-1-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ12511-1111-11-1-11-1i−iii−i−i1-11-1i−i−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i32−1−i321+i32ζ11−ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i32−1+i321−i32ζ7−ζ7-1-11-1-1-11-111-11−ii−i−iii-11-11−ii1+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i321+i32−1−i32−ζ11ζ111−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i321−i32−1+i32−ζ7ζ7
χ12611-1111-11-1-11-1−ii−i−iii1-11-1−ii−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i32−1−i321+i32−ζ11ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i32−1+i321−i32−ζ7ζ7-1-11-1-1-11-111-11i−iii−i−i-11-11i−i1+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i321+i32−1−i32ζ11−ζ111−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i321−i32−1+i32ζ7−ζ7
χ12711-1111-11-1-1-11i−iii−i−i1-1-11−ii−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11ζ11ζ11−ζ11−ζ11−1−i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7ζ7ζ7−ζ7−ζ7−1+i321−i321−i32−1+i32−ζ7ζ7-1-11-1-1-11-1111-1−ii−i−iii-111-1i−i1+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11−ζ11−ζ11ζ11ζ111+i32−1−i32−1−i321+i32ζ11−ζ111−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7−ζ7−ζ7ζ7ζ71−i32−1+i32−1+i321−i32ζ7−ζ7
χ12811-1111-11-1-1-11−ii−i−iii1-1-11i−i−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11−ζ11−ζ11ζ11ζ11−1−i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7−ζ7−ζ7ζ7ζ7−1+i321−i321−i32−1+i32ζ7−ζ7-1-11-1-1-11-1111-1i−iii−i−i-111-1−ii1+i321+i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11ζ11ζ11−ζ11−ζ111+i32−1−i32−1−i321+i32−ζ11ζ111−i321−i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7ζ7ζ7−ζ7−ζ71−i32−1+i32−1+i321−i32−ζ7ζ7
χ129222222222200000000-2-20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3000000001+i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3000000001−i31−i30000-2-2-2-2-2-2-2-2-2-2000000002200001+i31+i31+i31+i31+i31+i31+i31+i31+i31+i300000000−1−i3−1−i300001−i31−i31−i31−i31−i31−i31−i31−i31−i31−i300000000−1+i3−1+i30000
χ13022-2222-22-2-200000000-220000−1−i3−1−i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3000000001+i3−1−i30000−1+i3−1+i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3000000001−i3−1+i30000-2-22-2-2-22-222000000002-200001+i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i300000000−1−i31+i300001−i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i300000000−1+i31−i30000
χ1314441-211-21-20022-1-1-1-1000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i300−1−i3−1−i31+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i300−1+i3−1+i31−i321−i321−i321−i32000000-4-4-4-12-1-12-1200-2-211110000002+2i32+2i32+2i31+i32−1−i31+i321+i32−1−i31+i32−1−i3001+i31+i3−1−i32−1−i32−1−i32−1−i320000002−2i32−2i32−2i31−i32−1+i31−i321−i32−1+i31−i32−1+i3001−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ1324441-211-21-200-2-21111000000−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i32−1−i321+i3−1−i321+i3001+i31+i3−1−i32−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i32−1+i321−i3−1+i321−i3001−i31−i3−1+i32−1+i32−1+i32−1+i32000000-4-4-4-12-1-12-120022-1-1-1-10000002+2i32+2i32+2i31+i32−1−i31+i321+i32−1−i31+i32−1−i300−1−i3−1−i31+i321+i321+i321+i320000002−2i32−2i32−2i31−i32−1+i31−i321−i32−1+i31−i32−1+i300−1+i3−1+i31−i321−i321−i321−i32000000
χ133444-21-2-21-212200000000-1-100−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i3−1−i3000000001+i321+i3200−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i3−1+i3000000001−i321−i3200-4-4-42-122-12-1-2-20000000011002+2i32+2i32+2i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i31+i300000000−1−i32−1−i32002−2i32−2i32−2i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i31−i300000000−1+i32−1+i3200
χ134444-21-2-21-21-2-2000000001100−2−2i3−2−2i3−2−2i31+i3−1−i321+i31+i3−1−i321+i3−1−i321+i31+i300000000−1−i32−1−i3200−2+2i3−2+2i3−2+2i31−i3−1+i321−i31−i3−1+i321−i3−1+i321−i31−i300000000−1+i32−1+i3200-4-4-42-122-12-12200000000-1-1002+2i32+2i32+2i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i3000000001+i321+i32002−2i32−2i32−2i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i3000000001−i321−i3200
χ13544-41-21-1-2-12002i−2i−i−iii000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i321+i31+i32−1−i3002ζ11−2ζ11−ζ11−ζ11ζ11ζ11000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i321−i31−i32−1+i3002ζ7−2ζ7−ζ7−ζ7ζ7ζ7000000-4-44-12-1121-200−2i2iii−i−i0000002+2i32+2i3−2−2i31+i32−1−i31+i32−1−i32−1−i3−1−i321+i300−2ζ112ζ11ζ11ζ11−ζ11−ζ110000002−2i32−2i3−2+2i31−i32−1+i31−i32−1+i32−1+i3−1+i321−i300−2ζ72ζ7ζ7ζ7−ζ7−ζ7000000
χ13644-41-21-1-2-1200−2i2iii−i−i000000−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i321+i31+i32−1−i300−2ζ112ζ11ζ11ζ11−ζ11−ζ11000000−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i321−i31−i32−1+i300−2ζ72ζ7ζ7ζ7−ζ7−ζ7000000-4-44-12-1121-2002i−2i−i−iii0000002+2i32+2i3−2−2i31+i32−1−i31+i32−1−i32−1−i3−1−i321+i3002ζ11−2ζ11−ζ11−ζ11ζ11ζ110000002−2i32−2i3−2+2i31−i32−1+i31−i32−1+i32−1+i3−1+i321−i3002ζ7−2ζ7−ζ7−ζ7ζ7ζ7000000
χ13744-4-21-2212-12-200000000-1100−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i3−1−i32−1−i31+i32−1−i31+i3000000001+i32−1−i3200−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i3−1+i32−1+i31−i32−1+i31−i3000000001−i32−1+i3200-4-442-12-2-1-21-22000000001-1002+2i32+2i3−2−2i3−1−i31+i32−1−i31+i31+i321+i3−1−i321+i3−1−i300000000−1−i321+i32002−2i32−2i3−2+2i3−1+i31−i32−1+i31−i31−i321−i3−1+i321−i3−1+i300000000−1+i321−i3200
χ13844-4-21-2212-1-22000000001-100−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i3−1−i32−1−i31+i321+i3−1−i300000000−1−i321+i3200−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i3−1+i32−1+i31−i321−i3−1+i300000000−1+i321−i3200-4-442-12-2-1-212-200000000-11002+2i32+2i3−2−2i3−1−i31+i32−1−i31+i31+i321+i3−1−i32−1−i31+i3000000001+i32−1−i32002−2i32−2i3−2+2i3−1+i31−i32−1+i31−i31−i321−i3−1+i32−1+i31−i3000000001−i32−1+i3200
χ1394-401-2-132-300000−i3i3−i3i3000000−2−2i32+2i30−1−i321+i31+i32−3−3i32−1−i33+3i3200000−3+i323−i32−3+i323−i32000000−2+2i32−2i30−1+i321−i31−i32−3+3i32−1+i33−3i32000003+i32−3−i323+i32−3−i32000000-440-121-3-2300000i3−i3i3−i30000002+2i3−2−2i301+i32−1−i3−1−i323+3i321+i3−3−3i32000003−i32−3+i323−i32−3+i320000002−2i3−2+2i301−i32−1+i3−1+i323−3i321−i3−3+3i3200000−3−i323+i32−3−i323+i32000000
χ1404-401-2-132-300000i3−i3i3−i3000000−2−2i32+2i30−1−i321+i31+i32−3−3i32−1−i33+3i32000003−i32−3+i323−i32−3+i32000000−2+2i32−2i30−1+i321−i31−i32−3+3i32−1+i33−3i3200000−3−i323+i32−3−i323+i32000000-440-121-3-2300000−i3i3−i3i30000002+2i3−2−2i301+i32−1−i3−1−i323+3i321+i3−3−3i3200000−3+i323−i32−3+i323−i320000002−2i3−2+2i301−i32−1+i3−1+i323−3i321−i3−3+3i32000003+i32−3−i323+i32−3−i32000000
χ1414-401-2-1-323000003−3−33000000−2−2i32+2i30−1−i321+i31+i323+3i32−1−i3−3−3i32000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ11000000−2+2i32−2i30−1+i321−i31−i323−3i32−1+i3−3+3i3200000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000-440-1213-2-300000−333−30000002+2i3−2−2i301+i32−1−i3−1−i32−3−3i321+i33+3i3200000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ110000002−2i3−2+2i301−i32−1+i3−1+i32−3+3i321−i33−3i3200000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000
χ1424-401-2-1-32300000−333−3000000−2−2i32+2i30−1−i321+i31+i323+3i32−1−i3−3−3i3200000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11000000−2+2i32−2i30−1+i321−i31−i323−3i32−1+i3−3+3i3200000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11000000-440-1213-2-3000003−3−330000002+2i3−2−2i301+i32−1−i3−1−i32−3−3i321+i33+3i32000002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ110000002−2i3−2+2i301−i32−1+i3−1+i32−3+3i321−i33−3i3200000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11000000
χ1434-4044-40-40000000000000000−2−2i32+2i30−2−2i3−2−2i32+2i302+2i30000000000000000−2+2i32−2i30−2+2i3−2+2i32−2i302−2i30000000000000000-440-4-440400000000000000002+2i3−2−2i302+2i32+2i3−2−2i30−2−2i300000000000000002−2i3−2+2i302−2i32−2i3−2+2i30−2+2i30000000000000000
χ1448-80-4240-20000000000000000−4−4i34+4i302+2i3−1−i3−2−2i301+i30000000000000000−4+4i34−4i302−2i3−1+i3−2+2i301−i30000000000000000-8804-2-40200000000000000004+4i3−4−4i30−2−2i31+i32+2i30−1−i300000000000000004−4i3−4+4i30−2+2i31−i32−2i30−1+i30000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.