Finite Group Databasebeta

← Group #13168483

Character table — Group #13168483

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444121212123666121212121212121212244666666666612121212121212121212121244446661212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111111111-1-1111-1-1-111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111-1-11111-1-111-1-1111111-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-11-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-11-11-1-111-1-111-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1111-1-1111-1-1-1-1-11111-1-11-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-111-111-1-111-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1111-11111-1-1-1-1111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-11111-1-11-11111-1-1-1-1-1-11-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-111-111-111-1-11111-11-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111-1-11-1-1-1-1-11111111-1-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1111-1-11-1-1-1-111-11-11-1-111-1-1-1-1-1111
χ17222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-1-1-1-1-1-1-1-1-1002222-1-1-1-122002-1-1000-1-100000020-1-1-1-100000000
χ18222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20022-1-111-1-1-1-11100-2-222-1-1-1-1-2-200-21100011000000-20111100000000
χ19222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1200-2-211-1-11111-1-10022-2-21111-2-2002-1-1000-1-1000000-20111100000000
χ20222222-12-122-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-2111111111100-2-2-2-211112200-2110001100000020-1-1-1-100000000
χ21222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-211112222-2-21111-1-1-1-1-211-2-21111-20022-1-111-1-1-1-1-1-10022-2-211112200-211000-1-1000000-2011-1-100000000
χ22222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-2111122-2-2-2-21111-1-1-1-1-211-2-2111120022-1-1-1-1-1-1-1-11100-2-2-2-21111-2-2002-1-10001100000020-1-11100000000
χ23222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-21111-2-22222-1-1-1-1-1-1-1-1-211-2-21111-200-2-211111111-1-1002222-1-1-1-1-2-200-211000-1-100000020-1-11100000000
χ24222222-12-122-12-1222-1-1-22-1-1-1-12-12-111-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200-2-211-1-111111100-2-222-1-1-1-122002-1-100011000000-2011-1-100000000
χ2522222-1222-1-12222-1-12-12-122-1-1-1-1-12222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222000022000022-1-1-1-10000000022-1-1-1-122-1-1-1-1-1-100020000-1-10000-10
χ2622222-1222-1-12222-1-12-12-122-1-1-1-1-12222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-200002200002211-1-100000000-2-2-1-1-11-2-2-1-11111000-2000011000010
χ2722222-1222-1-12222-1-12-12-122-1-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2220000-2-20000-2-2-1-11100000000-2-2111-12211-1-1-1-1000-2000011000010
χ2822222-1222-1-12222-1-12-12-122-1-1-1-1-122222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000-2-20000-2-2111100000000221111-2-211111100020000-1-10000-10
χ2922222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-20000-2-200002211-1-100000000-2-2111-12-2-1-1-1-11100020000110000-10
χ3022222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-220000-2-2000022-1-1-1-100000000221111-22-1-111-1-1000-20000-1-1000010
χ3122222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-20000220000-2-211110000000022-1-1-1-12-211-1-111000-20000-1-1000010
χ3222222-1222-1-12222-1-12-1-2-122-1-1-1-1-12-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220000220000-2-2-1-11100000000-2-2-1-1-11-221111-1-100020000110000-10
χ332222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1022-1-12200-1-1-1-1002200-1-1-1-1-1-100000002-1-100-1-1-1-1220000000000-1-100
χ342222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10-2-2-1-12200-1-1-1-100-2-200-1-1-1-1-1-10000000-211001111-2-200000000001100
χ352222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-102211-2-200111100220011111100000002-1-100-1-1-1-1-2-200000000001100
χ362222-122-12222-12-12-1-122-1-1-122-12-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-211-2-200111100-2-2001111110000000-211001111220000000000-1-100
χ372222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-21111112200-2-2-2-2-2-2-1-1-1-1-2-2-211111102-2-1-12200-1-1-1-100-2-20011111100000002-1100-1-111-2200000000001-100
χ382222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-21111112200-2-2-2-2-2-2-1-1-1-1-2-2-21111110-22-1-12200-1-1-1-10022001111110000000-21-10011-1-12-20000000000-1100
χ392222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-2111111-2-200222222-1-1-1-1-2-2-211111102-211-2-200111100-2-200-1-1-1-1-1-100000002-1100-1-1112-20000000000-1100
χ402222-122-12222-12-12-1-12-2-1-1-122-12-1-1-2-2111111-2-200222222-1-1-1-1-2-2-21111110-2211-2-2001111002200-1-1-1-1-1-10000000-21-10011-1-1-2200000000001-100
χ412-22-2222-2-22-2-2-222-22220-2-2-2-22-2-2220000000000002-222-2-22-2-2200000000000000000000000000002-222-2-2002i−2i000000000000000000002i−2i2i−2i0000
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χ452-2-222222-2-2-22-2-2-22222022-22-2-2-2-2-2000000002-22i−2i00000022-2-20000000000002-22-20022-2-22i−2i002i−2i0000002i−2i000000002i−2i00000000002i−2i00000000
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χ492-2-2222-121-2-2-1-21-222-1-102-11-11-21-213−30033−3−32-22i−2i003−33−3-1-11103−30033−3−30002-2-11−i3i3-1-111−ii002i−2i003−33−32i−2i000−i3i3000−ii00000000−i3i3−ii00000000
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χ562-2-2222-121-2-2-1-21-222-1-102-11-11-21-21−3300−3−333-22−2i2i003−33−3-1-1110−3300−3−333000-221-1−i3i311-1-1i−i00−2i2i003−33−32i−2i000−i3i3000i−i00000000i3−i3−ii00000000
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χ1044-4-44-24-2-22-4-4-22224-21-20-21-1-22222-1−23230033−3−34-40000−2323−232311-1-10−23230033−3−3000-22-220011-1-1000000003−33−300000000000000000000000000000000
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χ11088-8-8-4-4-44-44-44-44442220-2-22-2-222-2-200−434323−2323−230000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).