Finite Group Databasebeta

← Group #13160371

Character table — Group #13160371

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size11112222222222222222222222444444444444444444444444444444444444444444121212121212121212121212121212121212363636363636545454541111222222222222222222222244444444444444444444444444444444444444444412121212121212121212121212121212121236363636363654545454
order12442333334666661212121212121212121233336666666666666666612121212121212121212121212121212121212121288242424242424242424242424242424242466121244442244266666466666121212121212121212126666666666666666666661212121212121212121212121212121212121212128824242424242424242424242424242424246612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1ii−i−i11-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i1-111-1-1ii−i−i
χ611-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii11-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i-11-1-111−i−iii
χ711-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−iii11-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii1-111-1-1−i−iii
χ811-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i11-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii-11-1-111ii−i−i
χ9222222222-122222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000222222222-122222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000
χ10222222222-122222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211110000222222222-122222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211110000
χ11222222-1-1-1222-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000222222-1-1-1222-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ12222222-1-1-1222-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000222222-1-1-1222-1-1-122222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1322222-12-1-122-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1000000000022222-12-1-122-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ1422222-12-1-122-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-21111000000000022222-12-1-122-12-1-1222-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-2111111-2-211110000000000
χ1522222-1-12-122-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1000000000022222-1-12-122-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ1622222-1-12-122-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-211000000000022222-1-12-122-1-12-1222-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-2-21111-2-2111111-2-2110000000000
χ1722222-1-1-1222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122000000000022222-1-1-1222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ1822222-1-1-1222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-2000000000022222-1-1-1222-1-1-12222-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2111111-2-2111111-2-20000000000
χ192222-222222-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000002222-222222-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ202222-22222-1-22222-1-1-122222222-1-1-1-1-2-2-2-2111111111-1-1-1-1-2-2-2-2111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i300002222-22222-1-22222-1-1-122222222-1-1-1-1-2-2-2-2111111111-1-1-1-1-2-2-2-2111111111-1-1-1-1-1-1-1-100000000000000000000−i3i3−i3i30000
χ212222-22222-1-22222-1-1-122222222-1-1-1-1-2-2-2-2111111111-1-1-1-1-2-2-2-2111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i300002222-22222-1-22222-1-1-122222222-1-1-1-1-2-2-2-2111111111-1-1-1-1-2-2-2-2111111111-1-1-1-1-1-1-1-100000000000000000000i3−i3i3−i30000
χ222222-22-1-1-12-22-1-1-122222-1-1-1-1-1-12-1-1-1-2111-2-2-21111112-1-1-1-2111-2-2-211111122-1-1-1-1-1-10000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300000000002222-22-1-1-12-22-1-1-122222-1-1-1-1-1-12-1-1-1-2111-2-2-21111112-1-1-1-2111-2-2-211111122-1-1-1-1-1-10000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000000000
χ232222-22-1-1-12-22-1-1-122222-1-1-1-1-1-12-1-1-1-2111-2-2-21111112-1-1-1-2111-2-2-211111122-1-1-1-1-1-10000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300000000002222-22-1-1-12-22-1-1-122222-1-1-1-1-1-12-1-1-1-2111-2-2-21111112-1-1-1-2111-2-2-211111122-1-1-1-1-1-10000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000000000
χ242222-2-12-1-12-2-12-1-1222-1-122-1-1-1-1-12-1-11-211-211-2-21111-12-1-11-211-211-2-21111-1-122-1-1-1-100−i3i300−i3i3i3−i3−i3i300−i3i3i3−i300000000002222-2-12-1-12-2-12-1-1222-1-122-1-1-1-1-12-1-11-211-211-2-21111-12-1-11-211-211-2-21111-1-122-1-1-1-100−i3i300−i3i3i3−i3−i3i300−i3i3i3−i30000000000
χ252222-2-12-1-12-2-12-1-1222-1-122-1-1-1-1-12-1-11-211-211-2-21111-12-1-11-211-211-2-21111-1-122-1-1-1-100i3−i300i3−i3−i3i3i3−i300i3−i3−i3i300000000002222-2-12-1-12-2-12-1-1222-1-122-1-1-1-1-12-1-11-211-211-2-21111-12-1-11-211-211-2-21111-1-122-1-1-1-100i3−i300i3−i3−i3i3i3−i300i3−i3−i3i30000000000
χ262222-2-1-12-12-2-1-12-1222-1-1-1-122-1-1-1-12-111-21-21111-2-211-1-12-111-21-21111-2-211-1-1-1-122-1-100−i3i3i3−i300−i3i3−i3i3i3−i300−i3i300000000002222-2-1-12-12-2-1-12-1222-1-1-1-122-1-1-1-12-111-21-21111-2-211-1-12-111-21-21111-2-211-1-1-1-122-1-100−i3i3i3−i300−i3i3−i3i3i3−i300−i3i30000000000
χ272222-2-1-12-12-2-1-12-1222-1-1-1-122-1-1-1-12-111-21-21111-2-211-1-12-111-21-21111-2-211-1-1-1-122-1-100i3−i3−i3i300i3−i3i3−i3−i3i300i3−i300000000002222-2-1-12-12-2-1-12-1222-1-1-1-122-1-1-1-12-111-21-21111-2-211-1-12-111-21-21111-2-211-1-1-1-122-1-100i3−i3−i3i300i3−i3i3−i3−i3i300i3−i30000000000
χ282222-2-1-1-122-2-1-1-12222-1-1-1-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-2-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i30000000000002222-2-1-1-122-2-1-1-12222-1-1-1-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-2-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3000000000000
χ292222-2-1-1-122-2-1-1-12222-1-1-1-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-2-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i30000000000002222-2-1-1-122-2-1-1-12222-1-1-1-1-1-122-1-1-12111-2-2111111-2-2-1-1-12111-2-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3000000000000
χ3022-2-2222222-222222-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022-2-2222222-222222-2-2-2-2-2-2-2-2-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ3122-2-222222-1-22222-111-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111100000000000000000000−i3i3i3−i3000022-2-222222-1-22222-111-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111100000000000000000000−i3i3i3−i30000
χ3222-2-222222-1-22222-111-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111100000000000000000000i3−i3−i3i3000022-2-222222-1-22222-111-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111100000000000000000000i3−i3−i3i30000
χ3322-2-222-1-1-12-22-1-1-12-2-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-2-2111111-2-211111100003−33−33−300−33−33−33000000000022-2-222-1-1-12-22-1-1-12-2-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-2-2111111-2-211111100003−33−33−300−33−33−330000000000
χ3422-2-222-1-1-12-22-1-1-12-2-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-2-2111111-2-21111110000−33−33−33003−33−33−3000000000022-2-222-1-1-12-22-1-1-12-2-2-2-21111112-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-2-2111111-2-21111110000−33−33−33003−33−33−30000000000
χ3522-2-22-12-1-12-2-12-1-12-2-211-2-21111-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-211-2-2111111-2-21111003−3003−3−33−3300−333−3000000000022-2-22-12-1-12-2-12-1-12-2-211-2-21111-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-211-2-2111111-2-21111003−3003−3−33−3300−333−30000000000
χ3622-2-22-12-1-12-2-12-1-12-2-211-2-21111-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-211-2-2111111-2-2111100−3300−333−33−3003−3−33000000000022-2-22-12-1-12-2-12-1-12-2-211-2-21111-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-211-2-2111111-2-2111100−3300−333−33−3003−3−330000000000
χ3722-2-22-1-12-12-2-1-12-12-2-21111-2-211-1-12-1-1-12-12-1-1-1-122-1-1-1-12-111-21-21111-2-2111111-2-211003−3−33003−3−333−300−33000000000022-2-22-1-12-12-2-1-12-12-2-21111-2-211-1-12-1-1-12-12-1-1-1-122-1-1-1-12-111-21-21111-2-2111111-2-211003−3−33003−3−333−300−330000000000
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χ1754-44i−4i0-2-24-2-2022-422−2i2i−2i2i−2i2i4i−4i−2i2i11-21000003-3-33003-3-1-12-1000003i−3i−3i3i003i−3ii−ii−i−2i2ii−i0000000000000000000000000000-44−4i4i022-4220-2-24-2-22i−2i2i−2i2i−2i−4i4i2i−2i-1-12-100000-333-300-3311-2100000−3i3i3i−3i00−3i3i−ii−ii2i−2i−ii0000000000000000000000000000
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χ1824-4−4i4i04-2-2-2-20-422222i−2i−4i4i2i−2i2i−2i2i−2i-211100000003-33-33-32-1-1-10000000−3i3i−3i3i−3i3i2i−2i−ii−ii−ii0000000000000000000000000000-444i−4i0-4222204-2-2-2-2−2i2i4i−4i−2i2i−2i2i−2i2i2-1-1-10000000-33-33-33-211100000003i−3i3i−3i3i−3i−2i2ii−ii−ii−i0000000000000000000000000000
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χ1884-4−4i4i0-2-24-2-2022-4222i−2i2i−2i2i−2i−4i4i2i−2i11-21000003-3-33003-3-1-12-100000−3i3i3i−3i00−3i3i−ii−ii2i−2i−ii0000000000000000000000000000-444i−4i022-4220-2-24-2-2−2i2i−2i2i−2i2i4i−4i−2i2i-1-12-100000-333-300-3311-21000003i−3i−3i3i003i−3ii−ii−i−2i2ii−i0000000000000000000000000000
χ1894-4−4i4i0-2-24-2-2022-4222i−2i2i−2i2i−2i−4i4i2i−2i11-2100000-333-300-33-1-12-1000003i−3i−3i3i003i−3i−ii−ii2i−2i−ii0000000000000000000000000000-444i−4i022-4220-2-24-2-2−2i2i−2i2i−2i2i4i−4i−2i2i-1-12-1000003-3-33003-311-2100000−3i3i3i−3i00−3i3ii−ii−i−2i2ii−i0000000000000000000000000000
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χ1914-4−4i4i0-2-2-24-20222-422i−2i2i−2i2i−2i2i−2i−4i4i111-2000003-33-3-3300-1-1-1200000−3i3i−3i3i3i−3i00−ii−ii−ii2i−2i0000000000000000000000000000-444i−4i0222-420-2-2-24-2−2i2i−2i2i−2i2i−2i2i4i−4i-1-1-1200000-33-333-300111-2000003i−3i3i−3i−3i3i00i−ii−ii−i−2i2i0000000000000000000000000000
χ1924-4−4i4i0-2-2-24-20222-422i−2i2i−2i2i−2i2i−2i−4i4i111-200000-33-333-300-1-1-12000003i−3i3i−3i−3i3i00−ii−ii−ii2i−2i0000000000000000000000000000-444i−4i0222-420-2-2-24-2−2i2i−2i2i−2i2i−2i2i4i−4i-1-1-12000003-33-3-3300111-200000−3i3i−3i3i3i−3i00i−ii−ii−i−2i2i0000000000000000000000000000

Here i is the imaginary unit (i² = −1).