Finite Group Databasebeta

← Group #13166667

Character table — Group #13166667

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122444444444444881212121212121212121212121212121218181818242424243636363611112244444444444488121212121212121212121212121212121818181824242424363636361111224444444444448812121212121212121212121212121212181818182424242436363636
order1244883366121212122424242424242244668888121224242424248861224244488361212242433661212121224242424242466121266242424241212242424246122424612242412122424361212242433661212121224242424242466121266242424241212242424246122424612242412122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-11-11111-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111-11-11111-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111-11-11111-1-11111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-11-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111
χ61111-1-111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-11111-1-1
χ71111-1-111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-111-1-111-1-1
χ81111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111
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χ1211-1-1i−i1111-1-1-1-1ii−i−ii−i-1-111-1-1−ii−ii11−i−iii-11i−i-11−iii−i1-111-1-1i−i1111-1-1-1-1ii−i−ii−i-1-111-1-1−ii−ii11−i−iii-11i−i-11−iii−i1-111-1-1i−i1111-1-1-1-1ii−i−ii−i-1-111-1-1−ii−ii11−i−iii-11i−i-11−iii−i1-1
χ1311-1-1−ii1111-1-1-1-1−i−iii−ii11-1-111−ii−ii-1-1−i−iii-11−ii1-1−ii−ii1-111-1-1−ii1111-1-1-1-1−i−iii−ii11-1-111−ii−ii-1-1−i−iii-11−ii1-1−ii−ii1-111-1-1−ii1111-1-1-1-1−i−iii−ii11-1-111−ii−ii-1-1−i−iii-11−ii1-1−ii−ii1-1
χ1411-1-1−ii1111-1-1-1-1−i−iii−ii1-1-1111−iii−i-1-1−i−iii-11−ii-11i−ii−i-1111-1-1−ii1111-1-1-1-1−i−iii−ii1-1-1111−iii−i-1-1−i−iii-11−ii-11i−ii−i-1111-1-1−ii1111-1-1-1-1−i−iii−ii1-1-1111−iii−i-1-1−i−iii-11−ii-11i−ii−i-11
χ1511-1-1−ii1111-1-1-1-1−i−iii−ii-111-1-1-1i−i−ii11ii−i−i-11−ii1-1−iii−i-1111-1-1−ii1111-1-1-1-1−i−iii−ii-111-1-1-1i−i−ii11ii−i−i-11−ii1-1−iii−i-1111-1-1−ii1111-1-1-1-1−i−iii−ii-111-1-1-1i−i−ii11ii−i−i-11−ii1-1−iii−i-11
χ1611-1-1−ii1111-1-1-1-1−i−iii−ii-1-111-1-1i−ii−i11ii−i−i-11−ii-11i−i−ii1-111-1-1−ii1111-1-1-1-1−i−iii−ii-1-111-1-1i−ii−i11ii−i−i-11−ii-11i−i−ii1-111-1-1−ii1111-1-1-1-1−i−iii−ii-1-111-1-1i−ii−i11ii−i−i-11−ii-11i−i−ii1-1
χ17222222222222222222220000000000000000-2-2-2-200000000222222222222222222220000000000000000-2-2-2-200000000222222222222222222220000000000000000-2-2-2-200000000
χ182222-2-222222222-2-2-2-2-2-20000000000000000-2-222000000002222-2-222222222-2-2-2-2-2-20000000000000000-2-222000000002222-2-222222222-2-2-2-2-2-20000000000000000-2-22200000000
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χ24444444-21-21-2-211-2-2-2-2110-20-20000-2-2000000000011110000444444-21-21-2-211-2-2-2-2110-20-20000-2-2000000000011110000444444-21-21-2-211-2-2-2-2110-20-20000-2-2000000000011110000
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χ274444-4-4-21-21-2-2112222-1-102020000-2-20000000000-1-11100004444-4-4-21-21-2-2112222-1-102020000-2-20000000000-1-11100004444-4-4-21-21-2-2112222-1-102020000-2-20000000000-1-1110000
χ284444-4-4-21-21-2-2112222-1-10-20-2000022000000000011-1-100004444-4-4-21-21-2-2112222-1-10-20-2000022000000000011-1-100004444-4-4-21-21-2-2112222-1-10-20-2000022000000000011-1-10000
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χ454-4−4i4i001-2-12−ii−2i2i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000i3−i300003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000004-4−4i4i001-2-12−ii−2i2i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000i3−i300003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000004-4−4i4i001-2-12−ii−2i2i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000i3−i300003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000
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χ9911111111111111111111-11-11-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
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χ1011111-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111−1−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+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+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+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−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−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ1021111-1-111111111-1-1-1-1-1-11-11-111-1-11111-1-1-1-111-1-1-1-11111-1-1−1−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+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ1031111-1-111111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-111-1-111-1-1−1−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+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ1041111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-111−1−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+i321+i321+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−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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−i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
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χ11622-2-2−2i2i2222-2-2-2-2−2i−2i2i2i−2i2i00000000000000002-22i−2i00000000−1−i3−1−i31+i31+i3−2ζ222ζ22−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−2ζ22−2ζ222ζ222ζ22−2ζ222ζ220000000000000000−1−i31+i32ζ22−2ζ2200000000−1+i3−1+i31−i31−i3−2ζ142ζ14−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−2ζ14−2ζ142ζ142ζ14−2ζ142ζ140000000000000000−1+i31−i32ζ14−2ζ1400000000
χ1174444441-21-211-2-21111-2-22020-1-12200-1-1-1-1-1-1000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i30−1−i301+i321+i32−1−i3−1−i3001+i321+i321+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i30−1+i301−i321−i32−1+i3−1+i3001−i321−i321−i321−i321−i321−i32000000000000
χ1184444441-21-211-2-21111-2-2-20-2011-2-200111111000000000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i301+i30−1−i32−1−i321+i31+i300−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i301−i30−1+i32−1+i321−i31−i300−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ119444444-21-21-2-211-2-2-2-21102020000220000000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i320−1−i30−1−i30000−1−i3−1−i300000000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i320−1+i30−1+i30000−1+i3−1+i300000000001−i321−i321−i321−i320000
χ120444444-21-21-2-211-2-2-2-2110-20-20000-2-2000000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i3201+i301+i300001+i31+i30000000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i3201−i301−i300001−i31−i30000000000−1+i32−1+i32−1+i32−1+i320000
χ1214444-4-41-21-211-2-2-1-1-1-1222020-1-1-2-200-1-11111000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i3−1−i3−1−i30−1−i301+i321+i321+i31+i3001+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i3−1+i3−1+i30−1+i301−i321−i321−i31−i3001−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ1224444-4-41-21-211-2-2-1-1-1-122-20-2011220011-1-1-1-1000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i3−1−i31+i301+i30−1−i32−1−i32−1−i3−1−i300−1−i32−1−i321+i321+i321+i321+i32000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i3−1+i31−i301−i30−1+i32−1+i32−1+i3−1+i300−1+i32−1+i321−i321−i321−i321−i32000000000000
χ1234444-4-4-21-21-2-2112222-1-102020000-2-20000000000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i320−1−i30−1−i300001+i31+i300000000001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i320−1+i30−1+i300001−i31−i300000000001−i321−i32−1+i32−1+i320000
χ1244444-4-4-21-21-2-2112222-1-10-20-2000022000000000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i3201+i301+i30000−1−i3−1−i30000000000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i3201−i301−i30000−1+i3−1+i30000000000−1+i32−1+i321−i321−i320000
χ12544-4-44i−4i1-21-2-1-122ii−i−i−2i2i20-20-1-12i−2i0011−i−iii000000000000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ22−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3ζ22ζ22−ζ22−ζ22−2ζ222ζ22−1−i301+i301+i321+i322ζ22−2ζ2200−1−i32−1−i32−ζ22−ζ22ζ22ζ22000000000000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ14−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3ζ14ζ14−ζ14−ζ14−2ζ142ζ14−1+i301−i301−i321−i322ζ14−2ζ1400−1+i32−1+i32−ζ14−ζ14ζ14ζ14000000000000
χ12644-4-44i−4i1-21-2-1-122ii−i−i−2i2i-202011−2i2i00-1-1ii−i−i000000000000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ22−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3ζ22ζ22−ζ22−ζ22−2ζ222ζ221+i30−1−i30−1−i32−1−i32−2ζ222ζ22001+i321+i32ζ22ζ22−ζ22−ζ22000000000000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ14−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3ζ14ζ14−ζ14−ζ14−2ζ142ζ141−i30−1+i30−1+i32−1+i32−2ζ142ζ14001−i321−i32ζ14ζ14−ζ14−ζ14000000000000
χ12744-4-44i−4i-21-2122-1-1−2i−2i2i2ii−i020-200002i−2i0000000000-11−ii0000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ221+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32−2ζ22−2ζ222ζ222ζ22ζ22−ζ220−1−i301+i300002ζ22−2ζ2200000000001+i32−1−i32−ζ22ζ220000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ141−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32−2ζ14−2ζ142ζ142ζ14ζ14−ζ140−1+i301−i300002ζ14−2ζ1400000000001−i32−1+i32−ζ14ζ140000
χ12844-4-44i−4i-21-2122-1-1−2i−2i2i2ii−i0-2020000−2i2i00000000001-1i−i0000−2−2i3−2−2i32+2i32+2i34ζ22−4ζ221+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i32−2ζ22−2ζ222ζ222ζ22ζ22−ζ2201+i30−1−i30000−2ζ222ζ220000000000−1−i321+i32ζ22−ζ220000−2+2i3−2+2i32−2i32−2i34ζ14−4ζ141−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i32−2ζ14−2ζ142ζ142ζ14ζ14−ζ1401−i30−1+i30000−2ζ142ζ140000000000−1+i321−i32ζ14−ζ140000
χ12944-4-4−4i4i1-21-2-1-122−i−iii2i−2i20-20-1-1−2i2i0011ii−i−i000000000000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ22−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3−ζ22−ζ22ζ22ζ222ζ22−2ζ22−1−i301+i301+i321+i32−2ζ222ζ2200−1−i32−1−i32ζ22ζ22−ζ22−ζ22000000000000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ14−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3−ζ14−ζ14ζ14ζ142ζ14−2ζ14−1+i301−i301−i321−i32−2ζ142ζ1400−1+i32−1+i32ζ14ζ14−ζ14−ζ14000000000000
χ13044-4-4−4i4i1-21-2-1-122−i−iii2i−2i-2020112i−2i00-1-1−i−iii000000000000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ22−1−i321+i3−1−i321+i31+i321+i32−1−i3−1−i3−ζ22−ζ22ζ22ζ222ζ22−2ζ221+i30−1−i30−1−i32−1−i322ζ22−2ζ22001+i321+i32−ζ22−ζ22ζ22ζ22000000000000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ14−1+i321−i3−1+i321−i31−i321−i32−1+i3−1+i3−ζ14−ζ14ζ14ζ142ζ14−2ζ141−i30−1+i30−1+i32−1+i322ζ14−2ζ14001−i321−i32−ζ14−ζ14ζ14ζ14000000000000
χ13144-4-4−4i4i-21-2122-1-12i2i−2i−2i−ii020-20000−2i2i0000000000-11i−i0000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ221+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i322ζ222ζ22−2ζ22−2ζ22−ζ22ζ220−1−i301+i30000−2ζ222ζ2200000000001+i32−1−i32ζ22−ζ220000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ141−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i322ζ142ζ14−2ζ14−2ζ14−ζ14ζ140−1+i301−i30000−2ζ142ζ1400000000001−i32−1+i32ζ14−ζ140000
χ13244-4-4−4i4i-21-2122-1-12i2i−2i−2i−ii0-20200002i−2i00000000001-1−ii0000−2−2i3−2−2i32+2i32+2i3−4ζ224ζ221+i3−1−i321+i3−1−i32−1−i3−1−i31+i321+i322ζ222ζ22−2ζ22−2ζ22−ζ22ζ2201+i30−1−i300002ζ22−2ζ220000000000−1−i321+i32−ζ22ζ220000−2+2i3−2+2i32−2i32−2i3−4ζ144ζ141−i3−1+i321−i3−1+i32−1+i3−1+i31−i321−i322ζ142ζ14−2ζ14−2ζ14−ζ14ζ1401−i30−1+i300002ζ14−2ζ140000000000−1+i321−i32−ζ14ζ140000
χ1334-44i−4i001-2-12i−i2i−2i3ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13000000−i3i300003−3−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000−2−2i32+2i34ζ22−4ζ2200−1−i321+i31+i32−1−i3ζ22−ζ222ζ22−2ζ22−3ζ73ζ73ζ13−3ζ13000000−3+i323−i3200002ζ14+ζ22−2ζ14−ζ22−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ13000000000000−2+2i32−2i34ζ14−4ζ1400−1+i321−i31−i32−1+i3ζ14−ζ142ζ14−2ζ14−3ζ233ζ233ζ5−3ζ50000003+i32−3−i320000−ζ14−2ζ22ζ14+2ζ222ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ13000000000000
χ1344-44i−4i001-2-12i−i2i−2i3ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13000000i3−i30000−33ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000−2−2i32+2i34ζ22−4ζ2200−1−i321+i31+i32−1−i3ζ22−ζ222ζ22−2ζ22−3ζ73ζ73ζ13−3ζ130000003−i32−3+i320000−2ζ14−ζ222ζ14+ζ22ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ13000000000000−2+2i32−2i34ζ14−4ζ1400−1+i321−i31−i32−1+i3ζ14−ζ142ζ14−2ζ14−3ζ233ζ233ζ5−3ζ5000000−3−i323+i320000ζ14+2ζ22−ζ14−2ζ22−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ13000000000000
χ1354-44i−4i001-2-12i−i2i−2i−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13000000−i3i300003−3ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000000000−2−2i32+2i34ζ22−4ζ2200−1−i321+i31+i32−1−i3ζ22−ζ222ζ22−2ζ223ζ7−3ζ7−3ζ133ζ13000000−3+i323−i3200002ζ14+ζ22−2ζ14−ζ22ζ7+2ζ23−ζ7−2ζ232ζ5+ζ13−2ζ5−ζ13000000000000−2+2i32−2i34ζ14−4ζ1400−1+i321−i31−i32−1+i3ζ14−ζ142ζ14−2ζ143ζ23−3ζ23−3ζ53ζ50000003+i32−3−i320000−ζ14−2ζ22ζ14+2ζ22−2ζ7−ζ232ζ7+ζ23−ζ5−2ζ13ζ5+2ζ13000000000000
χ1364-44i−4i001-2-12i−i2i−2i−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13000000i3−i30000−33−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000000000−2−2i32+2i34ζ22−4ζ2200−1−i321+i31+i32−1−i3ζ22−ζ222ζ22−2ζ223ζ7−3ζ7−3ζ133ζ130000003−i32−3+i320000−2ζ14−ζ222ζ14+ζ22−ζ7−2ζ23ζ7+2ζ23−2ζ5−ζ132ζ5+ζ13000000000000−2+2i32−2i34ζ14−4ζ1400−1+i321−i31−i32−1+i3ζ14−ζ142ζ14−2ζ143ζ23−3ζ23−3ζ53ζ5000000−3−i323+i320000ζ14+2ζ22−ζ14−2ζ222ζ7+ζ23−2ζ7−ζ23ζ5+2ζ13−ζ5−2ζ13000000000000
χ1374-44i−4i0044-4-44i−4i−4i4i0000000000000000000000000000000000−2−2i32+2i34ζ22−4ζ2200−2−2i3−2−2i32+2i32+2i34ζ22−4ζ22−4ζ224ζ220000000000000000000000000000000000−2+2i32−2i34ζ14−4ζ1400−2+2i3−2+2i32−2i32−2i34ζ14−4ζ14−4ζ144ζ140000000000000000000000000000000000
χ1384-4−4i4i001-2-12−ii−2i2i−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23000000−i3i30000−33−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000−2−2i32+2i3−4ζ224ζ2200−1−i321+i31+i32−1−i3−ζ22ζ22−2ζ222ζ223ζ13−3ζ13−3ζ73ζ7000000−3+i323−i320000−2ζ14−ζ222ζ14+ζ222ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23000000000000−2+2i32−2i3−4ζ144ζ1400−1+i321−i31−i32−1+i3−ζ14ζ14−2ζ142ζ143ζ5−3ζ5−3ζ233ζ230000003+i32−3−i320000ζ14+2ζ22−ζ14−2ζ22−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ23000000000000
χ1394-4−4i4i001-2-12−ii−2i2i−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23000000i3−i300003−3ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000−2−2i32+2i3−4ζ224ζ2200−1−i321+i31+i32−1−i3−ζ22ζ22−2ζ222ζ223ζ13−3ζ13−3ζ73ζ70000003−i32−3+i3200002ζ14+ζ22−2ζ14−ζ22−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23000000000000−2+2i32−2i3−4ζ144ζ1400−1+i321−i31−i32−1+i3−ζ14ζ14−2ζ142ζ143ζ5−3ζ5−3ζ233ζ23000000−3−i323+i320000−ζ14−2ζ22ζ14+2ζ22ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23000000000000
χ1404-4−4i4i001-2-12−ii−2i2i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000−i3i30000−33ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000000000−2−2i32+2i3−4ζ224ζ2200−1−i321+i31+i32−1−i3−ζ22ζ22−2ζ222ζ22−3ζ133ζ133ζ7−3ζ7000000−3+i323−i320000−2ζ14−ζ222ζ14+ζ22−2ζ5−ζ132ζ5+ζ13−ζ7−2ζ23ζ7+2ζ23000000000000−2+2i32−2i3−4ζ144ζ1400−1+i321−i31−i32−1+i3−ζ14ζ14−2ζ142ζ14−3ζ53ζ53ζ23−3ζ230000003+i32−3−i320000ζ14+2ζ22−ζ14−2ζ22ζ5+2ζ13−ζ5−2ζ132ζ7+ζ23−2ζ7−ζ23000000000000
χ1414-4−4i4i001-2-12−ii−2i2i3ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000000i3−i300003−3−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000000000−2−2i32+2i3−4ζ224ζ2200−1−i321+i31+i32−1−i3−ζ22ζ22−2ζ222ζ22−3ζ133ζ133ζ7−3ζ70000003−i32−3+i3200002ζ14+ζ22−2ζ14−ζ222ζ5+ζ13−2ζ5−ζ13ζ7+2ζ23−ζ7−2ζ23000000000000−2+2i32−2i3−4ζ144ζ1400−1+i321−i31−i32−1+i3−ζ14ζ14−2ζ142ζ14−3ζ53ζ53ζ23−3ζ23000000−3−i323+i320000−ζ14−2ζ22ζ14+2ζ22−ζ5−2ζ13ζ5+2ζ13−2ζ7−ζ232ζ7+ζ23000000000000
χ1424-4−4i4i0044-4-4−4i4i4i−4i0000000000000000000000000000000000−2−2i32+2i3−4ζ224ζ2200−2−2i3−2−2i32+2i32+2i3−4ζ224ζ224ζ22−4ζ220000000000000000000000000000000000−2+2i32−2i3−4ζ144ζ1400−2+2i3−2+2i32−2i32−2i3−4ζ144ζ144ζ14−4ζ140000000000000000000000000000000000
χ1438-88i−8i00-424-2−4i4i−2i2i0000000000000000000000000000000000−4−4i34+4i38ζ22−8ζ22002+2i3−1−i3−2−2i31+i3−4ζ224ζ22−2ζ222ζ220000000000000000000000000000000000−4+4i34−4i38ζ14−8ζ14002−2i3−1+i3−2+2i31−i3−4ζ144ζ14−2ζ142ζ140000000000000000000000000000000000
χ1448-8−8i8i00-424-24i−4i2i−2i0000000000000000000000000000000000−4−4i34+4i3−8ζ228ζ22002+2i3−1−i3−2−2i31+i34ζ22−4ζ222ζ22−2ζ220000000000000000000000000000000000−4+4i34−4i3−8ζ148ζ14002−2i3−1+i3−2+2i31−i34ζ14−4ζ142ζ14−2ζ140000000000000000000000000000000000

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