Finite Group Databasebeta

← Group #11794011

Character table — Group #11794011

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424111111112222222222224444444444444444888888888888121212121212121224242424
order1222222234444666666644441212121212121212121212122244666612121212888888882244366666663121212126666666121212121212121212121212121212126612126666121212122424242424242424661212366666663121212126666666121212121212121212121212121212126612126666121212122424242424242424661212
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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χ13822222222-1-2-2-2-2-1-1-1-1-1-1-1-2-22211111111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i31+i31+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i3−1−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3200003−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i32000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i31−i31−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i3−1+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i320000−3−i32−3−i323+i323+i323+i323+i32−3−i32−3−i32000000000000
χ1392222-2-2-2-22000022-22-2-2-2002i−2i000000002i2i−2i−2i00000000000022−2−2−i2−i2i2i20000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i3−1−i31+i3−1−i31+i31+i31+i3002ζ22−2ζ22000000002ζ222ζ22−2ζ22−2ζ22000000000000−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ130000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i3−1+i31−i3−1+i31−i31−i31−i3002ζ14−2ζ14000000002ζ142ζ14−2ζ14−2ζ14000000000000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ230000
χ1402222-2-2-2-22000022-22-2-2-2002i−2i000000002i2i−2i−2i000000000000−2−222i2i2−i2−i20000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i30000−1−i3−1−i31+i3−1−i31+i31+i31+i3002ζ22−2ζ22000000002ζ222ζ22−2ζ22−2ζ22000000000000ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ130000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i30000−1+i3−1+i31−i3−1+i31−i31−i31−i3002ζ14−2ζ14000000002ζ142ζ14−2ζ14−2ζ14000000000000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ230000
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χ14322-2-22-22-2222-2-22-2-2-22-22000022-2-20000000000000000000000000000002i−2i−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i31+i3−1−i30000−1−i3−1−i31+i31+i30000000000000000000000000000002ζ22−2ζ22−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i31−i3−1+i30000−1+i3−1+i31−i31−i30000000000000000000000000000002ζ14−2ζ14
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χ14622-2-22-22-22-2-2222-2-2-22-220000-2-2220000000000000000000000000000-2200−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i300001+i31+i3−1−i3−1−i300000000000000000000000000001+i3−1−i300−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i300001−i31−i3−1+i3−1+i300000000000000000000000000001−i3−1+i300
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χ1582-22-22-2-22-1-22-221-1-11-11100001-11-1−3−3333−33−3-22001-11-13−3−33000000000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i321+i3−1−i31+i3−1−i3−1−i321+i321+i32−1−i321+i32−1−i32−1−i320000−1−i321+i32−1−i321+i32−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ221+i3−1−i300−1−i321+i32−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i321−i3−1+i31−i3−1+i3−1+i321−i321−i32−1+i321−i32−1+i32−1+i320000−1+i321−i32−1+i321−i32ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ221−i3−1+i300−1+i321−i32−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000000000
χ1592-2-2222-2-222-2-22-2-2-2222-200002-2-22000000000000000000002-22-200000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i31+i31+i31+i3−1−i3−1−i3−1−i31+i30000−1−i31+i31+i3−1−i300000000000000000000−1−i31+i3−1−i31+i300000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i31−i31−i31−i3−1+i3−1+i3−1+i31−i30000−1+i31−i31−i3−1+i300000000000000000000−1+i31−i3−1+i31−i300000000
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χ1612-2-2222-2-22-222-2-2-2-2222-20000-222-20000000000000000000000002i−2i2i−2i0000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i300001+i3−1−i3−1−i31+i30000000000000000000000002ζ22−2ζ222ζ22−2ζ220000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i300001−i3−1+i3−1+i31−i30000000000000000000000002ζ14−2ζ142ζ14−2ζ140000
χ1622-2-2222-2-22-222-2-2-2-2222-20000-222-2000000000000000000000000−2i2i−2i2i0000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i300001+i3−1−i3−1−i31+i3000000000000000000000000−2ζ222ζ22−2ζ222ζ220000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i300001−i3−1+i3−1+i31−i3000000000000000000000000−2ζ142ζ14−2ζ142ζ140000
χ1632-2-22-2-22220000-2-222-2-222-20000002-22-200000000000000002−2−222−2−220000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3000000−1−i31+i3−1−i31+i30000000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3000000−1+i31−i3−1+i31−i30000000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ1642-2-22-2-22220000-2-222-2-222-20000002-22-20000000000000000−222−2−222−20000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3000000−1−i31+i3−1−i31+i30000000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3000000−1+i31−i3−1+i31−i30000000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230000
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χ1662-2-22-2-22220000-2-222-2-22-22000000-22-220000000000000000−222−22−2−220000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i3−1−i300001+i31+i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i30000001+i3−1−i31+i3−1−i30000000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i3−1+i300001−i31−i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i30000001−i3−1+i31−i3−1+i30000000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230000
χ1674444-4-4-4-4-20000-2-22-2222004i−4i00000000−2i−2i2i2i000000000000000000000000−2−2i3−2−2i3−2−2i3−2−2i32+2i32+2i32+2i32+2i31+i300001+i31+i3−1−i31+i3−1−i3−1−i3−1−i3004ζ22−4ζ2200000000−2ζ22−2ζ222ζ222ζ22000000000000000000000000−2+2i3−2+2i3−2+2i3−2+2i32−2i32−2i32−2i32−2i31−i300001−i31−i3−1+i31−i3−1+i3−1+i3−1+i3004ζ14−4ζ1400000000−2ζ14−2ζ142ζ142ζ14000000000000000000000000
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χ1784-4-4444-4-4-2-444-4222-2-2-2200002-2-2200000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i32+2i32+2i31+i32+2i3−2−2i3−2−2i32+2i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i30000−1−i31+i31+i3−1−i300000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i32−2i32−2i31−i32−2i3−2+2i3−2+2i32−2i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i30000−1+i31−i31−i3−1+i300000000000000000000000000000000
χ1794-4-44-4-444-2000022-2-222-24-4000000-22-220000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−2−2i32+2i30000001+i3−1−i31+i3−1−i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−2+2i32−2i30000001−i3−1+i31−i3−1+i30000000000000000000000000000
χ1804-4-44-4-444-2000022-2-222-2-440000002-22-20000000000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i31+i30000−1−i3−1−i31+i31+i3−1−i3−1−i31+i32+2i3−2−2i3000000−1−i31+i3−1−i31+i30000000000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i31−i30000−1+i3−1+i31−i31−i3−1+i3−1+i31−i32−2i3−2+2i3000000−1+i31−i3−1+i31−i30000000000000000000000000000

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