Finite Group Databasebeta

← Group #11794037

Character table — Group #11794037

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order12222222344446666666888812121212242424242424242422446666121212124444888844443666666631212121266666662424242412121212242424242424242466121266661212121212121212242424241212121236666666312121212666666624242424121212122424242424242424661212666612121212121212122424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1
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χ2422-2-22-2-22-1-2-222-111-111-1000011-1-1−i3−i3i3i3−i3−i3i3i300-22i3i3−i3−i311-1-100000000000022-2-22-2-22-1-2-222-111-111-1000011-1-1−i3−i3i3i3−i3−i3i3i300-22i3i3−i3−i311-1-100000000000022-2-22-2-22-1-2-222-111-111-1000011-1-1−i3−i3i3i3−i3−i3i3i300-22i3i3−i3−i311-1-1000000000000
χ2522-2-22-2-22-1-2-222-111-111-1000011-1-1i3i3−i3−i3i3i3−i3−i3002-2i3i3−i3−i3-1-11100000000000022-2-22-2-22-1-2-222-111-111-1000011-1-1i3i3−i3−i3i3i3−i3−i3002-2i3i3−i3−i3-1-11100000000000022-2-22-2-22-1-2-222-111-111-1000011-1-1i3i3−i3−i3i3i3−i3−i3002-2i3i3−i3−i3-1-111000000000000
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χ13222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000
χ13322222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000
χ13422222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000
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χ13822-22-2-22-220000222-2-2-2-2i2i2−i2−i20000i2i2i2i2−i2−i2−i2−i200000000000000−2i2i22−2−20000−1−i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i30000−1−i3−1−i3−1−i31+i31+i31+i31+i3−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ7+ζ1300000000000000−2ζ222ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000−1+i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i30000−1+i3−1+i3−1+i31−i31−i31−i31−i3−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ23ζ5+ζ2300000000000000−2ζ142ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000
χ13922-2-22-2-22222-2-22-2-22-2-22000022-2-20000000000000000000000000000002i−2i−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i30000000000000000000000000000002ζ22−2ζ22−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i30000000000000000000000000000002ζ14−2ζ14
χ14022-2-22-2-22222-2-22-2-22-2-22000022-2-2000000000000000000000000000000−2i2i−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i3−1−i31+i31+i3000000000000000000000000000000−2ζ222ζ22−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i3−1+i31−i31−i3000000000000000000000000000000−2ζ142ζ14
χ14122-2-22-2-222-2-2222-2-22-2-220000-2-22200000000002-2000022-2-2000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300001+i31+i3−1−i3−1−i30000000000−1−i31+i30000−1−i3−1−i31+i31+i3000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300001−i31−i3−1+i3−1+i30000000000−1+i31−i30000−1+i3−1+i31−i31−i3000000000000
χ14222-2-22-2-222-2-2222-2-22-2-220000-2-2220000000000-220000-2-222000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300001+i31+i3−1−i3−1−i300000000001+i3−1−i300001+i31+i3−1−i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300001−i31−i3−1+i3−1+i300000000001−i3−1+i300001−i31−i3−1+i3−1+i3000000000000
χ14322-2-22-2-22-1-2-222-111-111-1000011-1-1−i3−i3i3i3−i3−i3i3i3002-2−i3−i3i3i3-1-111000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i320000−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i3200−1−i31+i3−3+i32−3+i323−i323−i321+i321+i32−1−i32−1−i32000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i320000−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i3200−1+i31−i33+i323+i32−3−i32−3−i321−i321−i32−1+i32−1+i32000000000000
χ14422-2-22-2-22-1-2-222-111-111-1000011-1-1−i3−i3i3i3−i3−i3i3i300-22i3i3−i3−i311-1-1000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i320000−1−i32−1−i321+i321+i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32001+i3−1−i33−i323−i32−3+i32−3+i32−1−i32−1−i321+i321+i32000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i320000−1+i32−1+i321−i321−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32001−i3−1+i3−3−i32−3−i323+i323+i32−1+i32−1+i321−i321−i32000000000000
χ14522-2-22-2-22-1-2-222-111-111-1000011-1-1i3i3−i3−i3i3i3−i3−i3002-2i3i3−i3−i3-1-111000000000000−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i321+i31+i3−1−i3−1−i31+i32−1−i32−1−i321+i32−1−i32−1−i321+i320000−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i3200−1−i31+i33−i323−i32−3+i32−3+i321+i321+i32−1−i32−1−i32000000000000−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i321−i31−i3−1+i3−1+i31−i32−1+i32−1+i321−i32−1+i32−1+i321−i320000−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i3200−1+i31−i3−3−i32−3−i323+i323+i321−i321−i32−1+i32−1+i32000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.