Finite Group Databasebeta

← Group #13168062

Character table — Group #13168062

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244446666366612121212121212121224466666666121212121212121212121212121222446661212121212121212122444661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1111111111111-1-1111-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-11111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-1-111111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1111-1-1111-1-11-1-11111111-1-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1111-1-111-1-1-1-1-1111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1111-11-111-1-1-1-1-1-11-111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-11-1-111-1-11111-11-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1111-1-111-11-1-111-1-111-1-1-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-111-11111-1-11-11-111-1-1-1-1111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1111-1-11-1-1-1-111-1111-1-111-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-111-1-11111-1-11111111-1-1-111-1-11-1-11-1-11111-1-11-1-11
χ17222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-1-1-1-1-1-1-1002222-1-1-1-1-1-122002-1-1000-1-100000002-1-1-1-100000000
χ18222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2002211-1-1-1-1-1-100-2-22211-1-1-1-1-2-200-211000110000000-2111100000000
χ19222222-1-122-1222-122-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1200-2-2-1-11111110022-2-2-1-11111-2-2002-1-1000-1-10000000-2111100000000
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χ21222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-21111-2002211-1-1-1-1110022-2-2-1-11111-2-200-211000-1-10000000211-1-100000000
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χ23222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-21111-2-222221111-1-1-1-1-211-2-21111-200-2-2111111-1-1002222-1-1-1-1-1-12200-211000-1-10000000-2-1-11100000000
χ24222222-1-122-1222-122-1-1-22-1-1-1-12-12-111-2-21111-2-222-2-21111-1-1-1-1-211-2-21111200-2-2-1-11111-1-100-2-22211-1-1-1-1-2-2002-1-1000110000000211-1-100000000
χ2522222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1022-1-100-1-1-1-1222200-1-100-1-1-1-10000000-12-100-1-1-1-1220000000000-1-100
χ2622222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-10-2-2-1-100-1-1-1-122-2-200-1-100-1-1-1-100000001-21001111-2-200000000001100
χ2722222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-102211001111-2-22200110011110000000-12-100-1-1-1-1-2-200000000001100
χ2822222-122-1222-1-122-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-211001111-2-2-2-2001100111100000001-21001111220000000000-1-100
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χ3122222-122-1222-1-122-12-1-2-12-1-12-12-1-1-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-211111102-211001111222200-1-100-1-1-1-100000001-2-10011-1-1-2200000000001-100
χ3222222-122-1222-1-122-12-1-2-12-1-12-12-1-1-2-2111111-2-22200-2-2-2-2-1-1-1-1-2-2-21111110-221100111122-2-200-1-100-1-1-1-10000000-12100-1-1112-20000000000-1100
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χ352222-12222-12-1222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-22200-2-2000000-1-11100-2-2000000-2-21112-1211-1-1-1-100-20000011000010
χ362222-12222-12-1222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200-2-2000000111100-2-200000022111-21-211111100200000-1-10000-10
χ372222-12222-12-1222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-200-2-2000000-1-1-1-1002200000022111-212-1-111-1-100-200000-1-1000010
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χ392222-12222-12-1222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-20022000000-1-11100-2-2000000-2-2-1-1-1-2121111-1-100200000110000-10
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χ874-44-4-24-2-2-4222-442-2-21-20-21-22-12-12223−23002323−23−2300004i−4i000011-1-10−3300−3−33300000−2i32i300000000−2i2i00−2i2i000000000i3−i3000i−i00000000000000000000
χ884-44-4-24-2-2-4222-442-2-21-20-21-22-12-12223−23002323−23−230000−4i4i000011-1-10−3300−3−333000002i3−2i3000000002i−2i002i−2i000000000−i3i3000−ii00000000000000000000
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χ904-44-4-24-2-2-4222-442-2-21-20-21-22-12-122−232300−23−2323230000−4i4i000011-1-103−30033−3−300000−2i32i3000000002i−2i002i−2i000000000i3−i3000−ii00000000000000000000
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χ954-4-444-24-4-2-4-44224-4-24-202-42-2-4-242200−2323−232323−230000000000-22-22000−2323−232323−23000000000000000000000000000000000000000000000000000000000
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χ984-4-444-2-22-2-42422-2-4-2-21022-112-2-22-100−23233−3−33000000−2i32i32i3−2i31-11-1000−23233−3−330000000i3−i3−i3i300000000003i−3i−3i3i00000000000000000000000000000000
χ994-4-444-2-22-2-42422-2-4-2-21022-112-2-22-100−23233−3−330000002i3−2i3−2i32i31-11-1000−23233−3−330000000−i3i3i3−i30000000000−3i3i3i−3i00000000000000000000000000000000
χ1004-4-44-244-442-4-2-4-442-2-24022-442-2-22-4000000000000000000-22-22000000000000000000000023−2300000000000000000000000023−230000000000000000
χ1014-4-44-244-442-4-2-4-442-2-24022-442-2-22-4000000000000000000-22-220000000000000000000000−2323000000000000000000000000−23230000000000000000
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χ1034-4-44-2-24-4-22-4-222421-2-20-122-221-2-120023−2323−23−232300000000001-11-1000−33−333−30000000000000−23230000000000000000000000-333−30000000000000000
χ1044-4-44-2-24-4-22-4-222421-2-20-122-221-2-1200−2323−232323−2300000000001-11-10003−33−3−33000000000000023−230000000000000000000000-33−330000000000000000
χ1054-4-44-2-24-4-22-4-222421-2-20-122-221-2-1200−2323−232323−2300000000001-11-10003−33−3−330000000000000−232300000000000000000000003-33−30000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-8-48-44-8-4-448-844-42-404-24424-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
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χ11088-8-8-4-4-444-4-44-44442220-2-2-2-22-2-22200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-444-4-44-44442220-2-2-2-22-2-2220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-4-444444-44-42220222-2-2-2-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
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χ1168-8-88-4-4-44-444-444-442220-2-2-22-222-2-20043−43−232323−230000000000-11-11000−23233−3−33000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44-444-444-442220-2-2-22-222-2-200−434323−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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