Finite Group Databasebeta

← Group #13158585

Character table — Group #13158585

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444444888888888812121212121212121212121212121212181818182424242436361111222222222244444444448888888888121212121212121212121212121212121818181824242424363611112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order122233446666663446661212121212121212121212121212444488882424242424242424444412121212443666331212666666312126661212121212121212121212121212121212122424242424242424242424241212121212121212121236663312126666663121266612121212121212121212121212121212121224242424242424242424242412121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
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χ1211-1-1111-1-1-1-11-1111-1-1-111-1-111-11-11-111-1-1-11−ii-11−ii-1-111−i−iiii−ii−i−ii-11i−i11-1-1111-1-1-1-11-1111-1-1-111-1-111-11-11-111-1-1-11−ii-11−ii-1-111−i−iiii−ii−i−ii-11i−i11-1-1111-1-1-1-11-1111-1-1-111-1-111-11-11-111-1-1-11−ii-11−ii-1-111−i−iiii−ii−i−ii-11i−i
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χ1511-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11i−i1-1−ii11-1-1−i−iii−ii−iii−i-11i−i11-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11i−i1-1−ii11-1-1−i−iii−ii−iii−i-11i−i11-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11i−i1-1−ii11-1-1−i−iii−ii−iii−i-11i−i
χ1611-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11−ii1-1i−i11-1-1ii−i−ii−ii−i−ii-11−ii11-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11−ii1-1i−i11-1-1ii−i−ii−ii−i−ii-11−ii11-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11−ii1-1i−i11-1-1ii−i−ii−ii−i−ii-11−ii
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χ252222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-211-1-111112200-2-20011110000000000-1-1002222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-211-1-111112200-2-20011110000000000-1-1002222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-211-1-111112200-2-20011110000000000-1-100
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χ7311-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-1111-1i−i-11−ii-1-111−i−iiii−ii−ii−i1-1−ii−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−ζ22ζ22
χ7411-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-1111-1−ii-11i−i-1-111ii−i−i−ii−ii−ii1-1i−i−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32ζ22−ζ22
χ7511-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11i−i1-1−ii11-1-1−i−iii−ii−iii−i-11i−i−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32ζ22−ζ22
χ7611-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11−ii1-1i−i11-1-1ii−i−ii−ii−i−ii-11−ii−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−ζ22ζ22
χ77222222-2-2222222200222-2-2-2-20000-2-20000000000000000000022-2-2000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i300000000000000000000−1+i3−1+i31−i31−i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i300000000000000000000−1−i3−1−i31+i31+i3000000
χ78222222-2-2222222200222-2-2-2-20000-2-200000000000000000000-2-222000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3000000000000000000001−i31−i3−1+i3−1+i3000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3000000000000000000001+i31+i3−1−i3−1−i3000000
χ7922222-12222-1-1-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1002200220000-1-1-1-10000-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i300−1+i3−1+i300001−i321−i321−i321−i3200001−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i300−1−i3−1−i300001+i321+i321+i321+i3200001+i321+i320000
χ8022222-12222-1-1-12-122-1-1-1-12-12-1-122-1-1-1-1-1-100-2-200-2-2000011110000110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i320000
χ8122222-12222-1-1-12-1-2-2-1-1-1-12-1211-2-2-1-11111002200-2-2000011110000-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i3001−i31−i30000−1+i32−1+i32−1+i32−1+i3200001−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i3001+i31+i30000−1−i32−1−i32−1−i32−1−i3200001+i321+i320000
χ8222222-12222-1-1-12-1-2-2-1-1-1-12-1211-2-2-1-1111100-2-200220000-1-1-1-10000110000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i300−1+i3−1+i300001−i321−i321−i321−i320000−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i300−1−i3−1−i300001+i321+i321+i321+i320000−1−i32−1−i320000
χ832222-1222-1-1222-1-122-1-1-12-12-122-1-1-1-1-1-1-1-122002200-1-1-1-10000000000-1-100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i3001−i321−i321−i321−i3200000000001−i321−i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i3001+i321+i321+i321+i3200000000001+i321+i3200
χ842222-1222-1-1222-1-122-1-1-12-12-122-1-1-1-1-1-1-1-1-2-200-2-200111100000000001100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i320000000000−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3001+i31+i300−1−i32−1−i32−1−i32−1−i320000000000−1−i32−1−i3200
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χ862222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-211-1-11111-2-2002200-1-1-1-100000000001100−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i3−1+i3001−i321−i321−i321−i320000000000−1+i32−1+i3200−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i3−1−i3001+i321+i321+i321+i320000000000−1−i32−1−i3200
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χ13011-1-1111-1-1-1-11-1111-1-1-111-1-111-11-11-111-1-11-1−ii1-1−ii11-1-1−i−iii−ii−ii−ii1-1−ii−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14ζ14
χ13111-1-1111-1-1-1-11-1111-1-1-111-1-111-11-11-111-1-1-11i−i-11i−i-1-111ii−i−i−ii−iii−i-11−ii−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−ζ14ζ14
χ13211-1-1111-1-1-1-11-1111-1-1-111-1-111-11-11-111-1-1-11−ii-11−ii-1-111−i−iiii−ii−i−ii-11i−i−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32ζ14−ζ14
χ13311-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-1111-1i−i-11−ii-1-111−i−iiii−ii−ii−i1-1−ii−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−ζ14ζ14
χ13411-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-1111-1−ii-11i−i-1-111ii−i−i−ii−ii−ii1-1i−i−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32ζ14−ζ14
χ13511-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11i−i1-1−ii11-1-1−i−iii−ii−iii−i-11i−i−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32ζ22−ζ22−1−i321+i32−ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32ζ14−ζ14−1+i321−i32−ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32ζ14−ζ14
χ13611-1-1111-1-1-1-11-111-11-1-111-1-11-11-111-1-1-111-11−ii1-1i−i11-1-1ii−i−ii−ii−i−ii-11−ii−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−ζ22ζ22−1−i321+i32ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−ζ14ζ14−1+i321−i32ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−ζ14ζ14
χ137222222-2-2222222200222-2-2-2-20000-2-20000000000000000000022-2-2000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i300000000000000000000−1−i3−1−i31+i31+i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i300000000000000000000−1+i3−1+i31−i31−i3000000
χ138222222-2-2222222200222-2-2-2-20000-2-200000000000000000000-2-222000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3000000000000000000001+i31+i3−1−i3−1−i3000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3000000000000000000001−i31−i3−1+i3−1+i3000000
χ13922222-12222-1-1-12-122-1-1-1-12-12-1-122-1-1-1-1-1-1002200220000-1-1-1-10000-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200−1−i3−1−i300−1−i3−1−i300001+i321+i321+i321+i3200001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200−1+i3−1+i300−1+i3−1+i300001−i321−i321−i321−i3200001−i321−i320000
χ14022222-12222-1-1-12-122-1-1-1-12-12-1-122-1-1-1-1-1-100-2-200-2-2000011110000110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32001+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32001−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i320000
χ14122222-12222-1-1-12-1-2-2-1-1-1-12-1211-2-2-1-11111002200-2-2000011110000-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i3001+i31+i30000−1−i32−1−i32−1−i32−1−i3200001+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i3001−i31−i30000−1+i32−1+i32−1+i32−1+i3200001−i321−i320000
χ14222222-12222-1-1-12-1-2-2-1-1-1-12-1211-2-2-1-1111100-2-200220000-1-1-1-10000110000−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i300−1−i3−1−i300001+i321+i321+i321+i320000−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i300−1+i3−1+i300001−i321−i321−i321−i320000−1+i32−1+i320000
χ1432222-1222-1-1222-1-122-1-1-12-12-122-1-1-1-1-1-1-1-122002200-1-1-1-10000000000-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i3001+i321+i321+i321+i3200000000001+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i3001−i321−i321−i321−i3200000000001−i321−i3200
χ1442222-1222-1-1222-1-122-1-1-12-12-122-1-1-1-1-1-1-1-1-2-200-2-200111100000000001100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3001+i31+i300−1−i32−1−i32−1−i32−1−i320000000000−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i320000000000−1+i32−1+i3200
χ1452222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-211-1-111112200-2-20011110000000000-1-100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i31+i300−1−i32−1−i32−1−i32−1−i3200000000001+i321+i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i31−i300−1+i32−1+i32−1+i32−1+i3200000000001−i321−i3200
χ1462222-1222-1-1222-1-1-2-2-1-1-12-12-1-2-211-1-11111-2-2002200-1-1-1-100000000001100−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i32−1−i3−1−i3−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i3−1−i3001+i321+i321+i321+i320000000000−1−i32−1−i3200−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i32−1+i3−1+i3−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i3−1+i3001−i321−i321−i321−i320000000000−1+i32−1+i3200
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.