Finite Group Databasebeta

← Group #13157578

Character table — Group #13157578

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444444888888888812121212121212121212121212121212181818182424242436361111222222222244444444448888888888121212121212121212121212121212121818181824242424363611112222222222444444444488888888881212121212121212121212121212121218181818242424243636
order12223344666666344666121212121212121212121212121244448888242424242424242422441212121244366633121266666631212666121212121212121212121212121212121212242424242424242424242424661212121212121212366633121266666631212666121212121212121212121212121212121212242424242424242424242424661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
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
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111
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
χ91-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−ii−i1-11-111-1-111-1-11-11-1i−ii−ii−i1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−ii−i1-11-111-1-111-1-11-11-1i−ii−ii−i1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−ii−i1-11-111-1-111-1-11-11-1i−ii−ii−i
χ101-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii
χ111-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii
χ121-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i1-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i
χ131-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii
χ141-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i
χ151-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i
χ161-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii1-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii
χ17222222-2-2222222200222-2-2-2-20000-2-20000000000000000000022-2-2000000222222-2-2222222200222-2-2-2-20000-2-20000000000000000000022-2-2000000222222-2-2222222200222-2-2-2-20000-2-20000000000000000000022-2-2000000
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χ2022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-200-2-20011110000000011000022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-200-2-20011110000000011000022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-200-2-200111100000000110000
χ2122222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-111112200-2-200111100000000-1-1000022222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-111112200-2-200111100000000-1-1000022222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-111112200-2-200111100000000-1-10000
χ2222222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-2002200-1-1-1-10000000011000022222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-2002200-1-1-1-10000000011000022222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-2002200-1-1-1-100000000110000
χ232222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-1002200220000-1-1-1-1000000-1-1002222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-1002200220000-1-1-1-1000000-1-1002222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-1002200220000-1-1-1-1000000-1-100
χ242222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200-2-20000111100000011002222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200-2-20000111100000011002222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200-2-2000011110000001100
χ252222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-11111002200-2-200001111000000-1-1002222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-11111002200-2-200001111000000-1-1002222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-11111002200-2-200001111000000-1-100
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χ272-22-2222-2-222-2-2-2200-22-222-2-20000-22000000000000000000002-2-220000002-22-2222-2-222-2-2-2200-22-222-2-20000-22000000000000000000002-2-220000002-22-2222-2-222-2-2-2200-22-222-2-20000-22000000000000000000002-2-22000000
χ282-22-2222-2-222-2-2-2200-22-222-2-20000-2200000000000000000000-222-20000002-22-2222-2-222-2-2-2200-22-222-2-20000-2200000000000000000000-222-20000002-22-2222-2-222-2-2-2200-22-222-2-20000-2200000000000000000000-222-2000000
χ292-22-22-1-22-22-111-2-12i−2i1-11-212-1−ii2i−2i-11−i−iii2i−2i002-200-1-11100000000−ii00002-22-22-1-22-22-111-2-12i−2i1-11-212-1−ii2i−2i-11−i−iii2i−2i002-200-1-11100000000−ii00002-22-22-1-22-22-111-2-12i−2i1-11-212-1−ii2i−2i-11−i−iii2i−2i002-200-1-11100000000−ii0000
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χ691-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−ii−i1-11-111-1-111-1-11-11-1i−ii−ii−i−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14ζ14−ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22ζ22−ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ701-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ711-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14ζ14−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22ζ22
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χ7922222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-122002200-1-1-1-100000000-1-10000−1+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−i32−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i3001−i321−i321−i321−i32000000001−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+i32−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i3001+i321+i321+i321+i32000000001+i321+i320000
χ8022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-200-2-200111100000000110000−1+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−i32−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i3200000000−1+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+i32−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3001+i31+i300−1−i32−1−i32−1−i32−1−i3200000000−1−i32−1−i320000
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χ8222222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-2002200-1-1-1-100000000110000−1+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−i32−1+i31−i32−1+i31−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i3−1+i3001−i321−i321−i321−i3200000000−1+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+i32−1−i31+i32−1−i31+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i3−1−i3001+i321+i321+i321+i3200000000−1−i32−1−i320000
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χ842222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200-2-2000011110000001100−1+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−i321−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i32000000−1+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+i321+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i3200
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χ1301-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22−ζ22−ζ22ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14−ζ14−ζ14ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ1311-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22−ζ221+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14−ζ141−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ1321-11-111-11-111-1-1-11i−i-11-1-1-111i−ii−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22ζ22−ζ22ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14ζ14−ζ14ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ1331-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22−ζ22ζ22−ζ221+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14−ζ14ζ14−ζ141−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ1341-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22ζ221+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14ζ141−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ1351-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22ζ22−ζ22−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14ζ14−ζ14−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ1361-11-111-11-111-1-1-11−ii-11-1-1-111−ii−ii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22ζ22−ζ22ζ22−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14ζ14−ζ14ζ14−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14−ζ14ζ14−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
χ13922222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-122002200-1-1-1-100000000-1-10000−1−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+i32−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i3001+i321+i321+i321+i32000000001+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−i32−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i3001−i321−i321−i321−i32000000001−i321−i320000
χ14022222-12222-1-1-12-122-1-1-12-12-1-1-122-1-1-1-1-1-1-2-200-2-200111100000000110000−1−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+i32−1−i31+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i31+i3001+i31+i300−1−i32−1−i32−1−i32−1−i3200000000−1−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−i32−1+i31−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i3200000000−1+i32−1+i320000
χ14122222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-111112200-2-200111100000000-1-10000−1−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+i32−1−i31+i32−1−i31+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3001+i31+i300−1−i32−1−i32−1−i32−1−i32000000001+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−i32−1+i31−i32−1+i31−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3001−i31−i300−1+i32−1+i32−1+i32−1+i32000000001−i321−i320000
χ14222222-12222-1-1-12-1-2-2-1-1-12-12-111-2-2-1-11111-2-2002200-1-1-1-100000000110000−1−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+i32−1−i31+i32−1−i31+i32−1−i32−1−i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i300−1−i3−1−i3001+i321+i321+i321+i3200000000−1−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−i32−1+i31−i32−1+i31−i32−1+i32−1+i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i300−1+i3−1+i3001−i321−i321−i321−i3200000000−1+i32−1+i320000
χ1432222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-1002200220000-1-1-1-1000000-1-100−1−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+i321+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i300−1−i3−1−i300001+i321+i321+i321+i320000001+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−i321−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i300−1+i3−1+i300001−i321−i321−i321−i320000001−i321−i3200
χ1442222-1222-1-1222-1-122-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200-2-2000011110000001100−1−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+i321+i32−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i32001+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i32000000−1−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−i321−i32−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i32001−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i3200
χ1452222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-11111002200-2-200001111000000-1-100−1−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+i321+i32−1−i31+i32−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200−1−i3−1−i3001+i31+i30000−1−i32−1−i32−1−i32−1−i320000001+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−i321−i32−1+i31−i32−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200−1+i3−1+i3001−i31−i30000−1+i32−1+i32−1+i32−1+i320000001−i321−i3200
χ1462222-1222-1-1222-1-1-2-2-1-1-1-12-12-2-211-1-1111100-2-200220000-1-1-1-10000001100−1−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+i321+i32−1−i31+i32−1−i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32001+i31+i300−1−i3−1−i300001+i321+i321+i321+i32000000−1−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−i321−i32−1+i31−i32−1+i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32001−i31−i300−1+i3−1+i300001−i321−i321−i321−i32000000−1+i32−1+i3200
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χ1744-4-444400-4-4-44-44400-4-440000000000000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i3002+2i32+2i32+2i3−2−2i32+2i3−2−2i3−2−2i3002+2i32+2i3−2−2i30000000000000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i3002−2i32−2i32−2i3−2+2i32−2i3−2+2i3−2+2i3002−2i32−2i3−2+2i30000000000000000000000000000000000000000
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χ1784-4-44-240022-44-4-2-20022-200000000000000000000000000−i6i6i6−i60000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i300−1−i3−1−i32+2i3−2−2i32+2i31+i31+i300−1−i3−1−i31+i3000000000000000000000000002ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ230000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i300−1+i3−1+i32−2i3−2+2i32−2i31−i31−i300−1+i3−1+i31−i300000000000000000000000000−ζ5+2ζ7−2ζ13+ζ23ζ5−2ζ7+2ζ13−ζ23ζ5−2ζ7+2ζ13−ζ23−ζ5+2ζ7−2ζ13+ζ230000000000
χ17988-8-8-4-400-4444-442002-2-20000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i32+2i3002+2i3−2−2i3−2−2i3−2−2i32+2i3−2−2i3−1−i300−1−i31+i31+i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i32−2i3002−2i3−2+2i3−2+2i3−2+2i32−2i3−2+2i3−1+i300−1+i31−i31−i30000000000000000000000000000000000000000
χ1808-8-88-4-400444-44-4200-2-220000000000000000000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i32+2i300−2−2i3−2−2i3−2−2i32+2i3−2−2i32+2i3−1−i3001+i31+i3−1−i30000000000000000000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i32−2i300−2+2i3−2+2i3−2+2i32−2i3−2+2i32−2i3−1+i3001−i31−i3−1+i30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.