Finite Group Databasebeta

← Group #13159998

Character table — Group #13159998

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size11112222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424245454545454545454727272727272
order12223333344666666666666666888833336666666666661212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424244412121212121212121212121212121212224488884412121212
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
χ511111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111
χ611111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1
χ711111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1
χ811111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-1-111
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
χ1122222222-1222222-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000022-1-1-1-1
χ1222222222-1222222-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-21111
χ1322222222-1222222-122222222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000000000000000000000000002-2-1-111
χ1422222222-1222222-122222222-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111100000000000000000000000000-2211-1-1
χ1522222-1-1-12222-1-1-122-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000000000
χ1622222-1-1-12222-1-1-122-1-1-12-1-1-12222222-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000000000
χ1722222-1-1-12222-1-1-122-1-1-12-1-1-122-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112-222-1-1-1-1-1-1-2-211111100000000000000
χ1822222-1-1-12222-1-1-122-1-1-12-1-1-122-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-22-2-211111122-1-1-1-1-1-100000000000000
χ192222-12-1-1222-12-1-12-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-100000000000000
χ202222-12-1-1222-12-1-12-12-1-1-12-1-1222222-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111100000000000000
χ212222-12-1-1222-12-1-12-12-1-1-12-1-122-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111112-2-1-122-1-1-1-111-2-2111100000000000000
χ222222-12-1-1222-12-1-12-12-1-1-12-1-122-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2211-2-21111-1-122-1-1-1-100000000000000
χ232222-1-12-1222-1-12-12-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-100000000000000
χ242222-1-12-1222-1-12-12-1-12-1-1-12-1222222-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21111-2-2111111-2-21100000000000000
χ252222-1-12-1222-1-12-12-1-12-1-1-12-122-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-2111111112-2-1-1-1-122-1-11111-2-21100000000000000
χ262222-1-12-1222-1-12-12-1-12-1-1-12-122-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-221111-2-211-1-1-1-122-1-100000000000000
χ272222-1-1-12222-1-1-122-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12200000000000000
χ282222-1-1-12222-1-1-122-1-1-12-1-1-12222222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2111111-2-2111111-2-200000000000000
χ292222-1-1-12222-1-1-122-1-1-12-1-1-1222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-22-2-1-1-1-1-1-122111111-2-200000000000000
χ302222-1-1-12222-1-1-122-1-1-12-1-1-1222-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-12200000000000000
χ3122-2-2222220022222-2-2-2-2-2-2-2-2-2-222−2−222222-22-22-22-2-2-2-2-20000000000000000000000000022−2−222−2−222−2−222−2−222−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−20000000000000000002-20022−2−2000000
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χ3322-2-2222220022222-2-2-2-2-2-2-2-2-2-2−2−22222222-22-22-22-2-2-2-2-200000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222220000000000000000002-200−2−222000000
χ3422-2-2222220022222-2-2-2-2-2-2-2-2-2-2−2−22222222-22-22-22-2-2-2-2-200000000000000000000000000−2−222−2−222−2−222−2−222−2−222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222000000000000000000-220022−2−2000000
χ352-22-22222200-2-2-2-2-22222-2-2-2-22-2−i2i2−i2i22222-22-22-22-22-2-2-2-200000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000002i−2i2−22−2000000
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χ392-2-22222222-2-2-2-2-2-2-2-2-2-22222-222i−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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χ412-2-2222222-22-2-2-2-2-2-2-2-2-22222-2200002222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222000000000000000000000000000000000000000000000000000000000000000000000000002-2-22000000
χ422-2-2222222-22-2-2-2-2-2-2-2-2-22222-2200002222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222200000000000000000000000000000000000000000000000000000000000000000000000000-222-2000000
χ432-2-222222-12-2-2-2-2-21-2-2-2-222221-12i−2i−2i2i-1-1-1-111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-21111111112i−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−i00000000000000000000000000003−3−i3i3
χ442-2-222222-12-2-2-2-2-21-2-2-2-222221-12i−2i−2i2i-1-1-1-111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-21111111112i−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−i0000000000000000000000000000−33i3−i3
χ452-2-222222-12-2-2-2-2-21-2-2-2-222221-1−2i2i2i−2i-1-1-1-111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2ii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii00000000000000000000000000003−3i3−i3
χ462-2-222222-12-2-2-2-2-21-2-2-2-222221-1−2i2i2i−2i-1-1-1-111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2ii−i−iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii0000000000000000000000000000−33−i3i3
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χ1464-4-44-24-2-2-2-442-42222-422-24-2-22-200001-211-1-122-1-1-1-11-2112-4222-1-122-1-1-1-1-24-2-2-211-2-2111100000000000000000000-333-33-3-3300000000-333-33-3-333-3-33-333-300000000000000000000000000000000
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χ1494-4-44-2-24-2-24-422-42222-42-2-24-22-2−4i4i4i−4i11-21-1-1-1-122-1-111-21-2-24-2-21111-2-21122-422-1-1-1-122-1-12i−2i−2i2i2i−2i−2i2i−4i4i4i−4i2i−2i−2i2i2i−2i−2i2i−i−iiiii−i−i−i−iiiii−i−i2i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i00000000000000000000000000000000
χ1504-4-44-2-24-2-2-4422-42222-42-2-24-22-2000011-21-1-1-1-122-1-111-2122-422-1-1-1-122-1-1-2-24-2-21111-2-211000000000000000000003-3-33-333-3-333-33-3-33000000003-3-33-333-300000000000000000000000000000000
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χ1554-4-44-2-2-24-2-44222-42222-4-2-2-242-20000111-2-1-1-1-1-1-122111-2222-42-1-1-1-1-1-122-2-2-24-2111111-2-2000000000000000000003-3-33-333-33-3-33-333-3-333-33-3-330000000000000000000000000000000000000000
χ1564-4-44-2-2-24-2-44222-42222-4-2-2-242-20000111-2-1-1-1-1-1-122111-2222-42-1-1-1-1-1-122-2-2-24-2111111-2-200000000000000000000-333-33-3-33-333-33-3-333-3-33-333-30000000000000000000000000000000000000000

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