Finite Group Databasebeta

← Group #13169300

Character table — Group #13169300

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212124412121212366612121212121212124444412121212121212121212121212121212121244444412121212121212121212121212122226612121212121222664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111-1-1-1-111-1-1111-11-11-111-1-111-1-11-1-1-1-11111-1-1111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-1-11-1111-1-1-1-111-11111-1-111-1-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111-11-1-1-11111-1-11-1111-1-1-1-111-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-11-11-1-111-1-111-11-1-1-111-1-11111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-1-1111111-1-1-1-1-1-11111-1-111111-11-11-111-1-111-1-1-11-1-1-111-1-111-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-1-1111111-1-1-1-1-1-11111-1-111-1-11-1-11-1111-1-1-1-1111-1111-1-1-1-111111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-111-11-1-1-11111-1-1-11111-1-111-1-111-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-1111111-1-111-11-11-11-1-111-1-1111-1-1-1-11111-1-1-1-11-11
χ17222222-12222-1-12-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1222222-1-1-1-122-1-1-1-1-1-120022-1-1-1-1220000-1-1-1-1-1-1-1-100000000-1-1220000-1-1-1-12200000000000-1-10
χ18222222-12222-1-12-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1200-2-2-1-1-1-1220000-1-1-1-1-1-1-1-10000000011-2-200001111-2-200000000000110
χ19222222-12222-1-12-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-200221111-2-200001111111100000000-1-1220000-1-1-1-1-2-200000000000110
χ20222222-12222-1-12-12222-1-12-1-12-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-200-2-21111-2-20000111111110000000011-2-2000011112200000000000-1-10
χ21222222-1-2-222-1-12-12222-1-12-1-12-1-1-12-111-2-2-2-21111222222-1-1-1-1-2-2111111-2002-2-1-111-2-20000-1-1-1-1111100000000-112-20000-1-1112-200000000000-110
χ22222222-1-2-222-1-12-12222-1-12-1-12-1-1-12-111-2-2-2-21111222222-1-1-1-1-2-2111111-200-22-1-111-2-20000-1-1-1-11111000000001-1-22000011-1-1-22000000000001-10
χ23222222-1-2-222-1-12-12222-1-12-1-12-1-1-12-111-2-2-2-21111-2-2-2-2-2-2-1-1-1-1-2-21111112002-211-1-12200001111-1-1-1-100000000-112-20000-1-111-22000000000001-10
χ24222222-1-2-222-1-12-12222-1-12-1-12-1-1-12-111-2-2-2-21111-2-2-2-2-2-2-1-1-1-1-2-2111111200-2211-1-12200001111-1-1-1-1000000001-1-22000011-1-12-200000000000-110
χ2522222-1222-1222-122-12-12-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-102222000000222200000000000022-1-122-1-1-1-1-1-1-1-1-1-1002-1-1-1-1000000000
χ2622222-1222-1222-122-12-12-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-1022-2-20000002222000000000000-2-2-1-1-2-211-1-1-1-1111100-21111000000000
χ2722222-1222-1222-122-12-12-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-222000000-2-2-2-2000000000000-2-21122-1-11111-1-1-1-100-21111000000000
χ2822222-1222-1222-122-12-12-1-1-1-1-1222-1-122-1-1222222000000-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-2000000-2-2-2-20000000000002211-2-21111111111002-1-1-1-1000000000
χ2922222-12-2-2-1222-122-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-11111111102-22-200000022-2-200000000000022-112-2-11-1-111-1-11100-211-1-1000000000
χ3022222-12-2-2-1222-122-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-11111111102-2-2200000022-2-2000000000000-2-2-11-221-1-1-11111-1-1002-1-111000000000
χ3122222-12-2-2-1222-122-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111110-222-2000000-2-222000000000000-2-21-12-2-1111-1-1-1-111002-1-111000000000
χ3222222-12-2-2-1222-122-12-12-1-1-1-1-1222-1-1-2-211-2-2-2-2-2-2000000-1-1-1-1111111110-22-22000000-2-222000000000000221-1-221-111-1-111-1-100-211-1-1000000000
χ332222-122222-12222-12-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200220000-1-1-1-100000000000-1-1-1-100000
χ342222-122222-12222-12-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12-2-2002222-1-11111-1-1-1-1-1-1-1-1-2-2-2-200-2-20000111100000000000111100000
χ352222-122222-12222-12-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-22200-2-2-2-211-1-1-1-111111111-2-2-2-200220000-1-1-1-100000000000111100000
χ362222-122222-12222-12-1-1-12-122-1-1-1-1-122222-1-1-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-2-2-200-2-2-2-211111111111111222200-2-20000111100000000000-1-1-1-100000
χ372222-122-2-22-12222-12-1-1-12-122-1-1-1-1-12-2-2-2-211111122-1-1-1-1-1-1-1-111-2-21111-22-20022-2-211-1-111-1-1-1-1111122-2-2002-20000-1-11100000000000-1-11100000
χ382222-122-2-22-12222-12-1-1-12-122-1-1-1-1-12-2-2-2-211111122-1-1-1-1-1-1-1-111-2-21111-2-220022-2-21111-1-1-1-1-1-11111-2-22200-22000011-1-10000000000011-1-100000
χ392222-122-2-22-12222-12-1-1-12-122-1-1-1-1-12-2-2-2-2111111-2-21111-1-1-1-111-2-2111122-200-2-222-1-1-1-1111111-1-1-1-1-2-222002-20000-1-1110000000000011-1-100000
χ402222-122-2-22-12222-12-1-1-12-122-1-1-1-1-12-2-2-2-2111111-2-21111-1-1-1-111-2-211112-2200-2-222-1-111-1-11111-1-1-1-122-2-200-22000011-1-100000000000-1-11100000
χ412-22-222200-2-22-22-22-2-2222-22-2-2-22-22-200000000002i−2i2i2i−2i−2i22-2-200000000000002i−2i000000002i2i−2i−2i000000002i−2i00000000000000000002i−2i00002-2000
χ422-22-222200-2-22-22-22-2-2222-22-2-2-22-22-200000000002i−2i2i2i−2i−2i22-2-200000000000002i−2i000000002i2i−2i−2i00000000−2i2i0000000000000000000−2i2i0000-22000
χ432-22-222200-2-22-22-22-2-2222-22-2-2-22-22-20000000000−2i2i−2i−2i2i2i22-2-20000000000000−2i2i00000000−2i−2i2i2i000000002i−2i00000000000000000002i−2i0000-22000
χ442-22-222200-2-22-22-22-2-2222-22-2-2-22-22-20000000000−2i2i−2i−2i2i2i22-2-20000000000000−2i2i00000000−2i−2i2i2i00000000−2i2i0000000000000000000−2i2i00002-2000
χ452-2-222222-2-2-2-2-2-22-222222-2-2-222-2-2-222-22-22-222-2-20000002-2-222-22-222-2-2000000000000000000000002-22-2000000000000000000000002-22-200000
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χ482-2-22222-22-2-2-2-2-22-222222-2-2-222-2-2-22-22-22-22-2-2220000002-2-22-22-22-2-22200000000000000000000000-222-200000000000000000000000-222-200000
χ492-2-22-1222-2-21-2-2-2212-1-1-121-2-2-1-111122-22-2-11-1-111003−33−3-111-1-112-2-1-1110000000003−33−33−33−33−333−3−32-22-2000000003−33−300000000000-11-1100000
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χ512-2-22-1222-2-21-2-2-2212-1-1-121-2-2-1-111122-22-2-11-1-11100−33−33-111-1-112-2-1-111000000000−333−33−3−33−33−3−333-22-22000000003−33−3000000000001-11-100000
χ522-2-22-1222-2-21-2-2-2212-1-1-121-2-2-1-111122-22-2-11-1-11100−33−33-111-1-112-2-1-111000000000−33−33−33−33−33−3−3332-22-200000000−33−3300000000000-11-1100000
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χ924-4-444-244-42-4-4-424-4-24-24-2222-24-4-42-24-4-224-444-4-4000000-222-2-22-22-2-22200000000000000000000000000000000000000000000000000000000000
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χ944-4-444-2-24-42-4222-2-4-24-2-212-1-1-2-22221-22-224-4-2-2220000001-1-11-221-111-1-10000000000000000000000000000000000000003-33-30000000000000000
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χ994-4-44-24-24-4-4222-4-224-2-21-2222-21-1-12-2-224-4-2211-1-100−2323−23231-1-11-22-2211-1-1000000000−232300003−33−333−3−3000000000000000000000000000000000000
χ1004-4-44-24-2-44-4222-4-224-2-21-2222-21-1-12-22-2-442-2-1-1110023−2323−231-1-112-22-2-1-111000000000−23230000−33−3333−3−3000000000000000000000000000000000000
χ1014-4-44-24-2-44-4222-4-224-2-21-2222-21-1-12-22-2-442-2-1-11100−2323−23231-1-112-22-2-1-11100000000023−2300003−33−3−3−333000000000000000000000000000000000000
χ1024-4-44-2-244-422-4-4242-2-21-2-2-1221-222-1-24-4-22-22-2-2220000001-1-111-1-2211-1-10000000000023−2323−2300000000000000000000−33−3300000000000000000000
χ1034-4-44-2-244-422-4-4242-2-21-2-2-1221-222-1-24-4-22-22-2-2220000001-1-111-1-2211-1-100000000000−2323−2323000000000000000000003−33−300000000000000000000
χ1044-4-44-2-24-4422-4-4242-2-21-2-2-1221-222-1-2-442-22-222-2-20000001-1-11-112-2-1-1110000000000023−23−232300000000000000000000−333−300000000000000000000
χ1054-4-44-2-24-4422-4-4242-2-21-2-2-1221-222-1-2-442-22-222-2-20000001-1-11-112-2-1-11100000000000−232323−23000000000000000000003−3−3300000000000000000000
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χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-400-484-444-84-8-4-42-4-22444-44-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
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χ11088-8-8-4-4-400-4-44-4444442222-22-2-2-22-2-20000006i−6i6i−6i000000-11-110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-4-44-4444442222-22-2-2-22-2-2000000−6i6i−6i6i000000-11-1100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-4004-8-44-4484-8-4-4242-244-44-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4800448-8-4-8-4442-4-4-2-44-24-4424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-40044-44-44-444222-22-2-2-22-22-20000006i−6i−6i6i000000-1-1110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-40044-44-44-444222-22-2-2-22-22-2000000−6i6i6i−6i000000-1-11100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48-844444-44-4-4222-2-2-222-2-2-22-44-44-4422-2-2000000-111-12-22-2-1-11100000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-8844444-44-4-4222-2-2-222-2-2-224-44-44-4-2-222000000-111-1-22-2211-1-100000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).