Finite Group Databasebeta

← Group #11793853

Character table — Group #11793853

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order12442223444666121212124444661212121212121212121288882424242424242424224488883612126663121212666121212121212121266121212121212121212122424242424242424242424246612122424242436121266631212126661212121212121212661212121212121212121224242424242424242424242466121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-1-1-111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1111-1-1
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χ1422222-2-22-22-22-2-222-2-200002-22-200000000000000000000000000−2i2i22222-2-22-22-22-2-222-2-200002-22-200000000000000000000000000−2i2i22222-2-22-22-22-2-222-2-200002-22-200000000000000000000000000−2i2i
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χ1182222222-1222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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+i3200000000
χ1192222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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+i3200000000
χ1202222222-1222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−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+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+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−i3200000000
χ12122222-2-22-22-22-2-222-2-200002-22-2000000000000000000000000002i−2i−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i3000000000000000000000000002ζ11−2ζ11−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i3000000000000000000000000002ζ7−2ζ7
χ12222222-2-22-22-22-2-222-2-200002-22-200000000000000000000000000−2i2i−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i30000−1−i31+i3−1−i31+i300000000000000000000000000−2ζ112ζ11−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i30000−1+i31−i3−1+i31−i300000000000000000000000000−2ζ72ζ7
χ1232222-22-22-2-222-2-222-2-20000-22-220000000000000000000000002i−2i00−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i30000000000000000000000002ζ11−2ζ1100−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i30000000000000000000000002ζ7−2ζ700
χ1242222-22-22-2-222-2-222-2-20000-22-22000000000000000000000000−2i2i00−1−i3−1−i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300001+i3−1−i31+i3−1−i3000000000000000000000000−2ζ112ζ1100−1+i3−1+i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300001−i3−1+i31−i3−1+i3000000000000000000000000−2ζ72ζ700
χ1252222-2-2222-2-222222220000-2-2-2-2000000002-20022-2-2000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000−1−i31+i300−1−i3−1−i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000−1+i31−i300−1+i3−1+i31−i31−i3000000000000
χ1262222-2-2222-2-222222220000-2-2-2-200000000-2200-2-222000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i3000000001+i3−1−i3001+i31+i3−1−i3−1−i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i3000000001−i3−1+i3001−i31−i3−1+i3−1+i3000000000000
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χ1282222-2-22-12-2-2-1-1-1-1-1-1-100001111−i3−i3−i3−i3i3i3i3i3-220011-1-1i3i3−i3−i300000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i32−1−i31+i31+i31+i321+i321+i321+i321+i321+i321+i320000−1−i32−1−i32−1−i32−1−i32−3+i32−3+i32−3+i32−3+i323−i323−i323−i323−i321+i3−1−i300−1−i32−1−i321+i321+i323−i323−i32−3+i32−3+i3200000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i32−1+i31−i31−i31−i321−i321−i321−i321−i321−i321−i320000−1+i32−1+i32−1+i32−1+i323+i323+i323+i323+i32−3−i32−3−i32−3−i32−3−i321−i3−1+i300−1+i32−1+i321−i321−i32−3−i32−3−i323+i323+i3200000000
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χ14322-2-2-2-22-1-222-1-1-1111122-2-211-1-1-1-11111-1-100003−3−333−3−3300000000−1−i3−1−i31+i31+i31+i31+i3−1−i31+i321+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i31+i3−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i3200002ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i31−i31−i31−i31−i3−1+i31−i321−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i31−i3−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
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χ14622-2-2-2-22-1-222-1-1-11111-2-22211-1-111-1-1-1-1110000−333−33−3−3300000000−1−i3−1−i31+i31+i31+i31+i3−1−i31+i321+i3−1−i3−1−i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000−2ζ7−ζ112ζ7+ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11−2ζ7−ζ112ζ7+ζ1100000000−1+i3−1+i31−i31−i31−i31−i3−1+i31−i321−i3−1+i3−1+i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i320000ζ7+2ζ11−ζ7−2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11ζ7+2ζ11−ζ7−2ζ1100000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.