Finite Group Databasebeta

← Group #13157494

Character table — Group #13157494

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222224444444466666666888888888881212121212121212181818182424242424247211112222222222444444446666666688888888888121212121212121218181818242424242424721111222222222244444444666666668888888888812121212121212121818181824242424242472
order12223344666666366612121212224488884121212121212121212126612122424242488884412121212436663312126666663666121212126612122424242412121212121212121212126612122424242424242424121212121212123666331212666666366612121212661212242424241212121212121212121212661212242424242424242412121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-111-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-111-111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-11
χ51111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-111-1-1-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-111-1-1-11111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1
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χ792222-1222-12-12-12-1-1-1-1-122-100002222222-1-1-1-1-1-1-1-10000-1-1-1-1000020-1-1000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i320000−1+i301−i321−i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i320000−1−i301+i321+i32000
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χ812222-1222-12-12-12-1-1-1-1-122-10000-2-2-2-2222-1-1-1-1-1-1-1-1000011110000-2011000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i3200001−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i3200001−i30−1+i32−1+i32000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i3200001+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i3200001+i30−1−i32−1−i32000
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χ13722222-1-2-22-12-12-1-1-1-1-1-211-2-2-22200000−i3i30011−i3−i3i3i311-1-1000000000000i3−i30−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i3−1−i300000−3+i323−i3200−1−i32−1−i32−3+i32−3+i323−i323−i32−1−i32−1−i321+i321+i320000000000003−i32−3+i320−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i3−1+i3000003+i32−3−i3200−1+i32−1+i323+i323+i32−3−i32−3−i32−1+i32−1+i321−i321−i32000000000000−3−i323+i320
χ13822222-1-2-22-12-12-1-1-1-1-1-211-2-2-22200000i3−i30011i3i3−i3−i311-1-1000000000000−i3i30−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i3−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i321+i3−1−i32−1−i321+i31+i31+i3−1−i3−1−i3000003−i32−3+i3200−1−i32−1−i323−i323−i32−3+i32−3+i32−1−i32−1−i321+i321+i32000000000000−3+i323−i320−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i3−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i321−i3−1+i32−1+i321−i31−i31−i3−1+i3−1+i300000−3−i323+i3200−1+i32−1+i32−3−i32−3−i323+i323+i32−1+i32−1+i321−i321−i320000000000003+i32−3−i320
χ1392222-1222-12-12-12-1-1-1-1-122-100002222222-1-1-1-1-1-1-1-10000-1-1-1-1000020-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i320000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i3200001+i321+i321+i321+i320000−1−i301+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i320000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i3200001−i321−i321−i321−i320000−1+i301−i321−i32000
χ1402222-1222-12-12-12-1-1-1-1-122-100002222-2-2-211-1-111110000-1-1-1-10000-2011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i320000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i3200001+i321+i321+i321+i3200001+i30−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i320000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i3200001−i321−i321−i321−i3200001−i30−1+i32−1+i32000
χ1412222-1222-12-12-12-1-1-1-1-122-10000-2-2-2-2222-1-1-1-1-1-1-1-1000011110000-2011000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i3200001+i31+i31+i31+i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i3200001+i30−1−i32−1−i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i3200001−i31−i31−i31−i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i3200001−i30−1+i32−1+i32000
χ1422222-1222-12-12-12-1-1-1-1-122-10000-2-2-2-2-2-2-211-1-1111100001111000020-1-1000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i32−1−i31+i32−1−i31+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i3200001+i31+i31+i31+i31+i31+i31+i3−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1−i32−1−i32−1−i32−1−i320000−1−i301+i321+i32000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i32−1+i31−i32−1+i31−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i3200001−i31−i31−i31−i31−i31−i31−i3−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1+i32−1+i32−1+i32−1+i320000−1+i301−i321−i32000
χ14322-2-2220022-2-2-2-222-2-200002-20022−2−2000000000002-20022−2−222−2−20000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000000−1−i31+i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000000−1+i31−i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000
χ14422-2-2220022-2-2-2-222-2-200002-200−2−222000000000002-200−2−222−2−2220000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000000−1−i31+i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000000−1+i31−i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000
χ14522-2-2220022-2-2-2-222-2-20000-220022−2−200000000000-220022−2−2−2−2220000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13000000000001+i3−1−i300−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23000000000001−i3−1+i300ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000
χ14622-2-2220022-2-2-2-222-2-20000-2200−2−22200000000000-2200−2−22222−2−20000000−1−i3−1−i31+i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13000000000001+i3−1−i300ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000−1+i3−1+i31−i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23000000000001−i3−1+i300−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000
χ1472-22-22200-2-2-222-22-2-220000002i−2i2−22−200000000000002i−2i2−22−2−i2i2−i2i20000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000002ζ22−2ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000002ζ22−2ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000002ζ14−2ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000002ζ14−2ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000
χ1482-22-22200-2-2-222-22-2-220000002i−2i−22−2200000000000002i−2i−22−22i2−i2i2−i20000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i30000002ζ22−2ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000000002ζ22−2ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i30000002ζ14−2ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000000002ζ14−2ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000
χ1492-22-22200-2-2-222-22-2-22000000−2i2i2−22−20000000000000−2i2i2−22−2i2−i2i2−i20000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3000000−2ζ222ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000000000−2ζ222ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ130000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3000000−2ζ142ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000000000−2ζ142ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ230000000
χ1502-22-22200-2-2-222-22-2-22000000−2i2i−22−220000000000000−2i2i−22−22−i2i2−i2i20000000−1−i31+i3−1−i31+i3−1−i3−1−i3001+i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i3000000−2ζ222ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000000−2ζ222ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ130000000−1+i31−i3−1+i31−i3−1+i3−1+i3001−i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i3000000−2ζ142ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000000−2ζ142ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ230000000
χ1512-2-22222-2-2-22-2-222-22-222-2-200000000000002-20000000000002i−2i−2i2i0000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i30000000000000−1−i31+i30000000000002ζ22−2ζ22−2ζ222ζ220000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i30000000000000−1+i31−i30000000000002ζ14−2ζ14−2ζ142ζ140000000
χ1522-2-22222-2-2-22-2-222-22-222-2-200000000000002-2000000000000−2i2i2i−2i0000000−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i30000000000000−1−i31+i3000000000000−2ζ222ζ222ζ22−2ζ220000000−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i30000000000000−1+i31−i3000000000000−2ζ142ζ142ζ14−2ζ140000000
χ1532-2-2222-22-2-22-2-222-22-2-2-22200002-2-2200000-22000000002-2-2200000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i30000−1−i31+i31+i3−1−i3000001+i3−1−i300000000−1−i31+i31+i3−1−i300000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i30000−1+i31−i31−i3−1+i3000001−i3−1+i300000000−1+i31−i31−i3−1+i300000000000
χ1542-2-2222-22-2-22-2-222-22-2-2-2220000-222-200000-2200000000-222-200000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300001+i3−1−i3−1−i31+i3000001+i3−1−i3000000001+i3−1−i3−1−i31+i300000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300001−i3−1+i3−1+i31−i3000001−i3−1+i3000000001−i3−1+i3−1+i31−i300000000000
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χ1562-2-22-12-221-2-1-212-11-111-22-100002-2-22000−331-1−33−330000-111-1000000−33000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i3−1−i321+i31+i321+i3−1−i32−1−i31+i32−1−i321+i32−1−i32−1−i321+i3−1−i31+i320000−1−i31+i31+i3−1−i3000−2ζ14−ζ222ζ14+ζ22−1−i321+i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200001+i32−1−i32−1−i321+i32000000−2ζ14−ζ222ζ14+ζ22000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i3−1+i321−i31−i321−i3−1+i32−1+i31−i32−1+i321−i32−1+i32−1+i321−i3−1+i31−i320000−1+i31−i31−i3−1+i3000ζ14+2ζ22−ζ14−2ζ22−1+i321−i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ2200001−i32−1+i32−1+i321−i32000000ζ14+2ζ22−ζ14−2ζ22000
χ1572-2-22-12-221-2-1-212-11-111-22-10000-222-20003−31-13−33−300001-1-11000000−33000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i3−1−i321+i31+i321+i3−1−i32−1−i31+i32−1−i321+i32−1−i32−1−i321+i3−1−i31+i3200001+i3−1−i3−1−i31+i30002ζ14+ζ22−2ζ14−ζ22−1−i321+i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000−1−i321+i321+i32−1−i32000000−2ζ14−ζ222ζ14+ζ22000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i3−1+i321−i31−i321−i3−1+i32−1+i31−i32−1+i321−i32−1+i32−1+i321−i3−1+i31−i3200001−i3−1+i3−1+i31−i3000−ζ14−2ζ22ζ14+2ζ22−1+i321−i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000−1+i321−i321−i32−1+i32000000ζ14+2ζ22−ζ14−2ζ22000
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χ1594444-24-4-4-24-24-24-2-2-2-22-4-4200000000000002200000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−2−2i32+2i32+2i31+i3−2−2i31+i3−2−2i31+i3−2−2i31+i31+i31+i31+i3−1−i32+2i32+2i3−1−i30000000000000−1−i3−1−i300000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−2+2i32−2i32−2i31−i3−2+2i31−i3−2+2i31−i3−2+2i31−i31−i31−i31−i3−1+i32−2i32−2i3−1+i30000000000000−1+i3−1+i300000000000000000000000
χ1604444-2-244-2-2-2-2-2-21111-2-2-2-2000000004-2-2-2-21111110000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i300000000−2−2i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i300000000−2+2i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000000000000000000
χ1614444-2-244-2-2-2-2-2-21111-2-2-2-200000000-4222211-1-1-1-10000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i3−2−2i3−2−2i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i3000000002+2i3−1−i3−1−i3−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i320000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i3−2+2i3−2+2i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i3000000002−2i3−1+i3−1+i3−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i320000000000000000000
χ1624444-2-2-4-4-2-2-2-2-2-211112222000000000−2i32i300-1-1i3i3−i3−i30000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i32+2i32+2i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i3000000000−3+i33−i3001+i321+i323−i323−i32−3+i32−3+i320000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i32−2i32−2i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i30000000003+i3−3−i3001−i321−i32−3−i32−3−i323+i323+i320000000000000000000
χ1634444-2-2-4-4-2-2-2-2-2-2111122220000000002i3−2i300-1-1−i3−i3i3i30000000000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i31+i32+2i32+2i31+i31+i31+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i3−1−i3−1−i3−1−i30000000003−i3−3+i3001+i321+i32−3+i32−3+i323−i323−i320000000000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i31−i32−2i32−2i31−i31−i31−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i3−1+i3−1+i3−1+i3000000000−3−i33+i3001−i321−i323+i323+i32−3−i32−3−i320000000000000000000
χ16444-4-44-2004-2-42-42-2-22200004-400000000000000000-2200000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i300−2−2i31+i32+2i3−1−i32+2i3−1−i31+i31+i3−1−i3−1−i30000−2−2i32+2i3000000000000000001+i3−1−i300000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i300−2+2i31−i32−2i3−1+i32−2i3−1+i31−i31−i3−1+i3−1+i30000−2+2i32−2i3000000000000000001−i3−1+i300000000000000000
χ16544-4-44-2004-2-42-42-2-2220000-44000000000000000002-200000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i31+i300−2−2i31+i32+2i3−1−i32+2i3−1−i31+i31+i3−1−i3−1−i300002+2i3−2−2i300000000000000000−1−i31+i300000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i31−i300−2+2i31−i32−2i3−1+i32−2i3−1+i31−i31−i3−1+i3−1+i300002−2i3−2+2i300000000000000000−1+i31−i300000000000000000
χ16644-4-4-2400-242-42-4-2-222000000002222−22−22000000000000000−2−22200000000000−2−2i3−2−2i32+2i32+2i31+i3−2−2i3001+i3−2−2i3−1−i32+2i3−1−i32+2i31+i31+i3−1−i3−1−i300000000−2ζ7+2ζ13−2ζ7+2ζ132ζ7−2ζ132ζ7−2ζ13000000000000000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ1300000000000−2+2i3−2+2i32−2i32−2i31−i3−2+2i3001−i3−2+2i3−1+i32−2i3−1+i32−2i31−i31−i3−1+i3−1+i3000000002ζ5−2ζ232ζ5−2ζ23−2ζ5+2ζ23−2ζ5+2ζ23000000000000000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ2300000000000
χ16744-4-4-2400-242-42-4-2-22200000000−22−22222200000000000000022−2−200000000000−2−2i3−2−2i32+2i32+2i31+i3−2−2i3001+i3−2−2i3−1−i32+2i3−1−i32+2i31+i31+i3−1−i3−1−i3000000002ζ7−2ζ132ζ7−2ζ13−2ζ7+2ζ13−2ζ7+2ζ13000000000000000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ1300000000000−2+2i3−2+2i32−2i32−2i31−i3−2+2i3001−i3−2+2i3−1+i32−2i3−1+i32−2i31−i31−i3−1+i3−1+i300000000−2ζ5+2ζ23−2ζ5+2ζ232ζ5−2ζ232ζ5−2ζ23000000000000000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ2300000000000
χ1684-44-44-200-42-4-242-222-20000004i−4i00000000000000000−2i2i000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i31+i3002+2i3−1−i32+2i31+i3−2−2i3−1−i31+i3−1−i3−1−i31+i30000004ζ22−4ζ2200000000000000000−2ζ222ζ22000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i31−i3002−2i3−1+i32−2i31−i3−2+2i3−1+i31−i3−1+i3−1+i31−i30000004ζ14−4ζ1400000000000000000−2ζ142ζ14000000000000000
χ1694-44-44-200-42-4-242-222-2000000−4i4i000000000000000002i−2i000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i31+i3002+2i3−1−i32+2i31+i3−2−2i3−1−i31+i3−1−i3−1−i31+i3000000−4ζ224ζ22000000000000000002ζ22−2ζ22000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i31−i3002−2i3−1+i32−2i31−i3−2+2i3−1+i31−i3−1+i3−1+i31−i3000000−4ζ144ζ14000000000000000002ζ14−2ζ14000000000000000
χ1704-44-4-24002-424-2-4-222-20000000022−2222−22000000000000000−22−2200000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i300−1−i32+2i3−1−i3−2−2i31+i32+2i31+i3−1−i3−1−i31+i300000000−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13000000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i300−1+i32−2i3−1+i3−2+2i31−i32−2i31−i3−1+i3−1+i31−i3000000002ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ23000000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300000000000
χ1714-44-4-24002-424-2-4-222-200000000−2222−22220000000000000002−22−200000000000−2−2i32+2i3−2−2i32+2i31+i3−2−2i300−1−i32+2i3−1−i3−2−2i31+i32+2i31+i3−1−i3−1−i31+i3000000002ζ7−2ζ13−2ζ7+2ζ132ζ7−2ζ13−2ζ7+2ζ13000000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300000000000−2+2i32−2i3−2+2i32−2i31−i3−2+2i300−1+i32−2i3−1+i3−2+2i31−i32−2i31−i3−1+i3−1+i31−i300000000−2ζ5+2ζ232ζ5−2ζ23−2ζ5+2ζ232ζ5−2ζ23000000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300000000000
χ1724-4-444-24-4-4242-4-2-22-224-22-40000000000000-2200000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i3−2−2i32+2i32+2i3−1−i3−2−2i3−1−i32+2i31+i31+i3−1−i31+i3−1−i3−2−2i31+i3−1−i32+2i300000000000001+i3−1−i300000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i3−2+2i32−2i32−2i3−1+i3−2+2i3−1+i32−2i31−i31−i3−1+i31−i3−1+i3−2+2i31−i3−1+i32−2i300000000000001−i3−1+i300000000000000000000000
χ1734-4-444-2-44-4242-4-2-22-22-42-2400000000000002-200000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i31+i32+2i3−2−2i32+2i3−1−i3−2−2i3−1−i32+2i31+i31+i3−1−i31+i3−1−i32+2i3−1−i31+i3−2−2i30000000000000−1−i31+i300000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i31−i32−2i3−2+2i32−2i3−1+i3−2+2i3−1+i32−2i31−i31−i3−1+i31−i3−1+i32−2i3−1+i31−i3−2+2i30000000000000−1+i31−i300000000000000000000000
χ1744-4-44-244-42-4-2-424-22-22-24-420000000000000-2200000000000000000000000−2−2i32+2i32+2i3−2−2i31+i3−2−2i3−2−2i32+2i3−1−i32+2i31+i32+2i3−1−i3−2−2i31+i3−1−i31+i3−1−i31+i3−2−2i32+2i3−1−i300000000000001+i3−1−i300000000000000000000000−2+2i32−2i32−2i3−2+2i31−i3−2+2i3−2+2i32−2i3−1+i32−2i31−i32−2i3−1+i3−2+2i31−i3−1+i31−i3−1+i31−i3−2+2i32−2i3−1+i300000000000001−i3−1+i300000000000000000000000
χ1754-4-44-2-24-422-222-21-11-1-2-22200000000000001-13i−3i−3i3i0000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−2−2i32+2i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i321+i31+i3−1−i3−1−i30000000000000−1−i321+i323ζ22−3ζ22−3ζ223ζ220000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−2+2i32−2i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i321−i31−i3−1+i3−1+i30000000000000−1+i321−i323ζ14−3ζ14−3ζ143ζ140000000000000000000
χ1764-4-44-2-24-422-222-21-11-1-2-22200000000000001-1−3i3i3i−3i0000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i3−2−2i32+2i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i321+i31+i3−1−i3−1−i30000000000000−1−i321+i32−3ζ223ζ223ζ22−3ζ220000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i3−2+2i32−2i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i321−i31−i3−1+i3−1+i30000000000000−1+i321−i32−3ζ143ζ143ζ14−3ζ140000000000000000000
χ1774-4-44-2-2-4422-222-21-11-122-2-20000000000023−23-11−33−330000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i32+2i3−2−2i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i32−1−i3−1−i31+i31+i3000000000004ζ14+2ζ22−4ζ14−2ζ221+i32−1−i32−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i32−2i3−2+2i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i32−1+i3−1+i31−i31−i300000000000−2ζ14−4ζ222ζ14+4ζ221−i32−1+i32ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000000000
χ1784-4-44-2-2-4422-222-21-11-122-2-200000000000−2323-113−33−30000000000000000000−2−2i32+2i32+2i3−2−2i31+i31+i32+2i3−2−2i3−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i321+i32−1−i321+i32−1−i3−1−i31+i31+i300000000000−4ζ14−2ζ224ζ14+2ζ221+i32−1−i322ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000000000000000000−2+2i32−2i32−2i3−2+2i31−i31−i32−2i3−2+2i3−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i321−i32−1+i321−i32−1+i3−1+i31−i31−i3000000000002ζ14+4ζ22−2ζ14−4ζ221−i32−1+i32−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000000000
χ17988-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i32+2i3002+2i32+2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i3−1−i31+i31+i3000000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i32−2i3002−2i32−2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i3−1+i31−i31−i3000000000000000000000000000000000000000000
χ1808-88-8-4-400444-4-442-2-22000000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i32+2i300−2−2i3−2−2i3−2−2i32+2i32+2i3−2−2i3−1−i31+i31+i3−1−i3000000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i32−2i300−2+2i3−2+2i3−2+2i32−2i32−2i3−2+2i3−1+i31−i31−i3−1+i3000000000000000000000000000000000000000000

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