Finite Group Databasebeta

← Group #13157577

Character table — Group #13157577

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
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χ1011-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii11-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii11-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii
χ1111-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii11-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii11-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii
χ1211-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i11-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i11-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i
χ1311-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii
χ1411-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i
χ1511-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i
χ1611-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii11-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−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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χ2022222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-100-2-200-2-200001111000000110022222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-100-2-200-2-200001111000000110022222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-100-2-200-2-2000011110000001100
χ2122222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-11111002200-2-200001111000000-1-10022222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-11111002200-2-200001111000000-1-10022222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-11111002200-2-200001111000000-1-100
χ2222222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-1111100-2-200220000-1-1-1-1000000110022222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-1111100-2-200220000-1-1-1-1000000110022222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-1111100-2-200220000-1-1-1-10000001100
χ232222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-122002200-1-1-1-100000000-1-100002222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-122002200-1-1-1-100000000-1-100002222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-122002200-1-1-1-100000000-1-10000
χ242222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-1-2-200-2-2001111000000001100002222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-1-2-200-2-2001111000000001100002222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-1-2-200-2-200111100000000110000
χ252222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-111112200-2-200111100000000-1-100002222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-111112200-2-200111100000000-1-100002222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-111112200-2-200111100000000-1-10000
χ262222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-11111-2-2002200-1-1-1-1000000001100002222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-11111-2-2002200-1-1-1-1000000001100002222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-11111-2-2002200-1-1-1-100000000110000
χ2722-2-2222-2-2-222-2-2200-22-222-2-20000-22000000000000000000002-2-2200000022-2-2222-2-2-222-2-2200-22-222-2-20000-22000000000000000000002-2-2200000022-2-2222-2-2-222-2-2200-22-222-2-20000-22000000000000000000002-2-22000000
χ2822-2-2222-2-2-222-2-2200-22-222-2-20000-2200000000000000000000-222-200000022-2-2222-2-2-222-2-2200-22-222-2-20000-2200000000000000000000-222-200000022-2-2222-2-2-222-2-2200-22-222-2-20000-2200000000000000000000-222-2000000
χ2922-2-22-1-22-212-1-21-12i−2i1-11-212-12i−i−2ii-11−i−iii002i−2i002-20000-1-111000000−ii0022-2-22-1-22-212-1-21-12i−2i1-11-212-12i−i−2ii-11−i−iii002i−2i002-20000-1-111000000−ii0022-2-22-1-22-212-1-21-12i−2i1-11-212-12i−i−2ii-11−i−iii002i−2i002-20000-1-111000000−ii00
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χ7111-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−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−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−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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χ7511-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+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−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−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
χ7611-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+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−ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−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
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χ7922222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-1002200220000-1-1-1-1000000-1-100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−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−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i3200−1−i3−1−i300−1−i3−1−i300001+i321+i321+i321+i320000001+i321+i3200
χ8022222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-100-2-200-2-2000011110000001100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−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−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i321+i32001+i31+i3001+i31+i30000−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i3200
χ8122222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-11111002200-2-200001111000000-1-100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i321−i3−1+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−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i321+i3−1−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
χ8222222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-1111100-2-200220000-1-1-1-10000001100−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i321−i3−1+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−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i321+i3−1−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
χ832222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-122002200-1-1-1-100000000-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+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−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i32−1−i3−1−i300−1−i3−1−i3001+i321+i321+i321+i32000000001+i321+i320000
χ842222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-1-2-200-2-200111100000000110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+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−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−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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χ862222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-11111-2-2002200-1-1-1-100000000110000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−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−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+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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χ13011-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−ii−i−ii1-1-1111-1-1-1-111-11-11i−i−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−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
χ13111-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−iii−i-111-1-1-11111-1-1-11-11−iii−i−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−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
χ13211-1-111-11-1-111-1-11i−i-11-1-1-111ii−i−i1-1ii−i−i−ii−ii-11-11-1-111-1-1111-11-1−ii−iii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32ζ22−ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32ζ14−ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−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
χ13311-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−ii−i-11-11-1-111-1-1111-11-1i−ii−i−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+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
χ13411-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iiii−i−ii-111-1-1-11111-1-1-11-11i−i−iii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+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
χ13511-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−iii−i1-1-1111-1-1-1-111-11-11−iii−ii−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+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
χ13611-1-111-11-1-111-1-11−ii-11-1-1-111−i−iii1-1−i−iii−ii−ii1-11-111-1-111-1-11-11-1−ii−ii−ii−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−ζ22ζ221+i32−1−i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−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+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−ζ14ζ141−i32−1+i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+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
χ13922222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-1002200220000-1-1-1-1000000-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+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+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i3200−1+i3−1+i300−1+i3−1+i300001−i321−i321−i321−i320000001−i321−i3200
χ14022222-1222-12-12-1-122-1-1-12-12-12-12-1-1-1-1-1-1-100-2-200-2-2000011110000001100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+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+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i32001−i31−i3001−i31−i30000−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i3200
χ14122222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-11111002200-2-200001111000000-1-100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i321+i3−1−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+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i321−i3−1+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
χ14222222-1222-12-12-1-1-2-2-1-1-12-12-1-21-21-1-1111100-2-200220000-1-1-1-10000001100−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i31+i31+i321+i321+i32−1−i31+i32−1−i31+i321+i3−1−i321+i3−1−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+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i31−i31−i321−i321−i32−1+i31−i32−1+i31−i321−i3−1+i321−i3−1+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
χ1432222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-122002200-1-1-1-100000000-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−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+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i32−1+i3−1+i300−1+i3−1+i3001−i321−i321−i321−i32000000001−i321−i320000
χ1442222-1222-12-12-12-122-1-1-1-12-12-12-12-1-1-1-1-1-1-2-200-2-200111100000000110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i321+i32−1−i31+i32−1−i31+i32−1−i31+i32−1−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+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i321−i32−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i321−i31−i3001−i31−i300−1+i32−1+i32−1+i32−1+i3200000000−1+i32−1+i320000
χ1452222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-111112200-2-200111100000000-1-10000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+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+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−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
χ1462222-1222-12-12-12-1-2-2-1-1-1-12-121-21-2-1-11111-2-2002200-1-1-1-100000000110000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i31+i31+i321+i321+i321+i32−1−i31+i32−1−i3−1−i321+i3−1−i321+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+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i31−i31−i321−i321−i321−i32−1+i31−i32−1+i3−1+i321−i3−1+i321−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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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.