Finite Group Databasebeta

← Group #11884426

Character table — Group #11884426

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1111222222222222222244444444444444444444444444444444444444444444444444444444444444412121212242424242424242424242424242436363636484848487272
order12223344446666661212121223666666666668888121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244222444666612121212244466121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1111-1-111-1-111111-11-1-1-1
χ6111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-11111-1-111-1-1-1-1-1-1-11-1111
χ7111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-1-1-1-11-11-111
χ8111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-1-1-111-1-1111111-11-11-1-1
χ9111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1111-1-1111-1-1-11
χ10111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-111-111-1-1-1111-1
χ11111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-111-111-1-11-1
χ12111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11-1-1111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-11-1-11-1-111-11
χ13111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-11-11111-1-1-1-11-1-111-1-111-1
χ14111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-111-1-11111-1-1-1-1-111-1-111-1-11
χ15111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-11-1-111-1-1-1-11111-111-11-1-11-11
χ16111111-1-111111111-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-11-1-1-1-111111-1-11-111-11-1
χ1722222222-2-22222222222-22-2-2-2-222-2-2-2-220000-222-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000002-22-2000000
χ1822222222-2-22222222222-22-2-2-2-222-2-2-2-220000-222-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000-22-22000000
χ19222222-2-2-2-2222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000022-2-2000000
χ20222222-2-2-2-2222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000-2-222000000
χ2122222-1222222-1-1-1222222-122-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000022220000000000000-1-1-1-100
χ2222222-1222222-1-1-1222222-122-1-1-1-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-20000000000000111100
χ2322222-1222222-1-1-1222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-2111111111111000002-22-20000000000000-11-1100
χ2422222-1222222-1-1-1222222-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-12-1-1-1-1-1-1-12-1-1-2-2-2-2111111111111-2-2-2-211111111111100000-22-2200000000000001-11-100
χ2522222-1-2-22222-1-1-12-2-2-2-2-2-1-2-211-1-11111-122-2-2-1112-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000022-2-20000000000000-1-11100
χ2622222-1-2-22222-1-1-12-2-2-2-2-2-1-2-211-1-11111-122-2-2-1112-1-11111-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000-2-222000000000000011-1-100
χ2722222-1-2-22222-1-1-12-2-2-2-2-2-1-2-211-1-11111-1-2-222-1112-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000002-2-220000000000000-111-100
χ2822222-1-2-22222-1-1-12-2-2-2-2-2-1-2-211-1-11111-1-2-222-1112-1-11111-12-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000-222-200000000000001-1-1100
χ292222-122222-1-1222-1-1-1-1-12-1-1-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222200002-1-1-1-1-1-1-1-10000000000
χ302222-122222-1-1222-1-1-1-1-12-1-1-122-1-1-1-1-1-1-12222222-1-1-1-1-1-1-12-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-20000-2111111110000000000
χ312222-122222-1-1222-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-200002-1-111-1-1110000000000
χ322222-122222-1-1222-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-12-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-22220000-211-1-111-1-10000000000
χ332222-12-2-222-1-1222-11111-2-111-2-2-1-11111-122-2-22-2-2-1-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111112222-20000-2-1-11111-1-10000000000
χ342222-12-2-222-1-1222-11111-2-111-2-2-1-11111-122-2-22-2-2-1-1-111112-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-220000211-1-1-1-1110000000000
χ352222-12-2-222-1-1222-11111-2-111-2-2-1-11111-1-2-2222-2-2-1-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-220000-2-1-1-1-111110000000000
χ362222-12-2-222-1-1222-11111-2-111-2-2-1-11111-1-2-2222-2-2-1-1-111112-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-222-2000021111-1-1-1-10000000000
χ372-2-222200-22-2-2-22-220000020000-2-2000022-200-200-2-2-20000222222-2-222-2-22222-2-2-2-200000000000000002-22-20000002-200002-20000000000
χ382-2-222200-22-2-2-22-220000020000-2-2000022-200-200-2-2-20000222222-2-222-2-22222-2-2-2-20000000000000000-22-22000000-220000-220000000000
χ392-2-222200-22-2-2-22-220000020000-2-200002-2200-200-2-2-200002222-2-222-2-222-2-2-2-2222200000000000000002-2-220000002-20000-220000000000
χ402-2-222200-22-2-2-22-220000020000-2-200002-2200-200-2-2-200002222-2-222-2-222-2-2-2-222220000000000000000-222-2000000-2200002-20000000000
χ412-2-22-1200-2211-22-2-1−i3−i3i3i30-1−i3i30011−i3−i3i3i3-12-200-200111−i3−i3i3i32-1-1-1-1-11122-2-2-1-1-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i32-22-2000000-11−i3i3−i3i3-110000000000
χ422-2-22-1200-2211-22-2-1−i3−i3i3i30-1−i3i30011−i3−i3i3i3-12-200-200111−i3−i3i3i32-1-1-1-1-11122-2-2-1-1-1-11111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-22-220000001-1i3−i3i3−i31-10000000000
χ432-2-22-1200-2211-22-2-1−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1-2200-200111−i3−i3i3i32-1-1-111-1-1-2-2221111-1-1-1-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-2-22000000-11i3−i3−i3i31-10000000000
χ442-2-22-1200-2211-22-2-1−i3−i3i3i30-1−i3i30011−i3−i3i3i3-1-2200-200111−i3−i3i3i32-1-1-111-1-1-2-2221111-1-1-1-1i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-222-20000001-1−i3i3i3−i3-110000000000
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χ462-2-22-1200-2211-22-2-1i3i3−i3−i30-1i3−i30011i3i3−i3−i3-12-200-200111i3i3−i3−i32-1-1-1-1-11122-2-2-1-1-1-11111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-22-220000001-1−i3i3−i3i31-10000000000
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χ482-2-22-1200-2211-22-2-1i3i3−i3−i30-1i3−i30011i3i3−i3−i3-1-2200-200111i3i3−i3−i32-1-1-111-1-1-2-2221111-1-1-1-1−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i3-222-20000001-1i3−i3−i3i3-110000000000
χ4944444-244-4-444-2-2-244444-4-2-4-422-2-22222-200002-2-2-422-2-2-2-22-422000000000000000000000000000000000000000000000000000000000000
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χ1094-4-44-2-200-44222-22-2−2i3−2i32i32i301−2i32i300-1-1i3i3−i3−i31-44002002-1-1i3i3−i3−i3-2-21122-2-222-2-2-1-1-1-111112i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
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χ1114-4-44-2-200-44222-22-22i32i3−2i3−2i3012i3−2i300-1-1−i3−i3i3i31-44002002-1-1−i3−i3i3i3-2-21122-2-222-2-2-1-1-1-11111−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000

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