Finite Group Databasebeta

← Group #13159978

Character table — Group #13159978

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424245454545454545454727272727272
order122233333446666666666666668888333366666666666612121212121212121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242444121212121212121212121212121212122244888824661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1
χ611111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ711111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-1-111
χ811111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-111-1-1
χ9222222222-2-222222222222222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000022-2-20000000000
χ10222222222-2-222222222222222200002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000-2-2220000000000
χ1122222222-1222222-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022-1-1-1-1
χ1222222222-1222222-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-21111
χ1322222222-1222222-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000000000000000000000000002-2-1-111
χ1422222222-1222222-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111100000000000000000000000000-2211-1-1
χ1522222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1622222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000000000
χ1722222-1-1-12222-1-1-1222-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112-222-1-1-1-1-1-1-2-211111100000000000000
χ1822222-1-1-12222-1-1-1222-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-22-2-211111122-1-1-1-1-1-100000000000000
χ192222-12-1-1222-12-1-122-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ202222-12-1-1222-12-1-122-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111100000000000000
χ212222-12-1-1222-12-1-122-12-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111112-2-1-122-1-1-1-111-2-2111100000000000000
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χ232222-1-12-1222-1-12-122-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ242222-1-12-1222-1-12-122-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21111-2-2111111-2-21100000000000000
χ252222-1-12-1222-1-12-122-1-12-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-2111111112-2-1-1-1-122-1-11111-2-21100000000000000
χ262222-1-12-1222-1-12-122-1-12-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-221111-2-211-1-1-1-122-1-100000000000000
χ272222-1-1-12222-1-1-1222-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
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χ292222-1-1-12222-1-1-1222-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-22-2-1-1-1-1-1-122111111-2-200000000000000
χ302222-1-1-12222-1-1-1222-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-12200000000000000
χ3122-2-22222200-2-2-2-22-22222-2-2-2-2-2−i2−i2i2i222222-22-22-22-2-2-2-2-200000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000002-200−i2−i2i2i2000000
χ3222-2-22222200-2-2-2-22-22222-2-2-2-2-2−i2−i2i2i222222-22-22-22-2-2-2-2-200000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000-2200i2i2−i2−i2000000
χ3322-2-22222200-2-2-2-22-22222-2-2-2-2-2i2i2−i2−i222222-22-22-22-2-2-2-2-200000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000002-200i2i2−i2−i2000000
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χ392-2-22222222-2-2-2-2-2-22-2-2-2-22222-22i−2i−2i2i2222-2-2-2-2-2-2-2-222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
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χ422-2-2222222-22-2-2-2-2-22-2-2-2-22222-200002222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222200000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000
χ432-2-222222-12-2-2-2-2-21-1-2-2-2-2222212i−2i−2i2i-1-1-1-111111111-1-1-1-1-12222-1-1-1-1-1-1-1-11-2-2-2-2111111112i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i0000000000000000000000000000−i3i33−3
χ442-2-222222-12-2-2-2-2-21-1-2-2-2-2222212i−2i−2i2i-1-1-1-111111111-1-1-1-1-12222-1-1-1-1-1-1-1-11-2-2-2-2111111112i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−iii−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i0000000000000000000000000000i3−i3−33
χ452-2-222222-12-2-2-2-2-21-1-2-2-2-222221−2i2i2i−2i-1-1-1-111111111-1-1-1-1-12222-1-1-1-1-1-1-1-11-2-2-2-211111111−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2ii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii0000000000000000000000000000−i3i3−33
χ462-2-222222-12-2-2-2-2-21-1-2-2-2-222221−2i2i2i−2i-1-1-1-111111111-1-1-1-1-12222-1-1-1-1-1-1-1-11-2-2-2-211111111−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2ii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii0000000000000000000000000000i3−i33−3
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.