Finite Group Databasebeta

← Group #13168435

Character table — Group #13168435

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244446666366612121212121212121224466666666121212121212121212121212121244446661212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-11111111111111111111111-1-1-1-1-1-11-111-1-111-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-1111111111-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-11-1-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111-1-1-11-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-111-1-1-1-111-1-111-1-11111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-111111-1-1-1-1-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111-11-1-1-1-1-1111-11-1-1-111-1-1-1-1-1111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1111-1-11111-1-1-11-1-11111111-1-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-11111111111111-1-1-111-1-1-1-1-1-1-11-1-11111-1-11-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-11-111111-1-11-11-1-1-111-1-111-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-11-1-1-1-1-111-111111-1-1-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1111-1-1111111-1-111-1-111-1-1-11-11
χ17222222-122-12-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-120222-1-1-1-1-1-100-1-1220000-1-1-1-10000-1-1-1-10200-1-100200200000000-1-100
χ18222222-122-12-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1-20-2-2-2-1-1-1-1-1-100-1-1220000-1-1-1-1000011110-2001100-200-2000000001100
χ19222222-122-12-12-1222-1-122-1-1-1-12-12-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1202221111110011-2-2000011110000-1-1-1-10200-1-100-200-2000000001100
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χ21222222-122-12-12-1222-1-1-22-1-1-1-12-12-111-2-2111122-2-2002222-1-1-1-1-211-2-2111120-222-1-1-1-1-1-10011-2-2000011110000-1-1-110-2001100200-2000000001-100
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χ23222222-122-12-12-1222-1-1-22-1-1-1-12-12-111-2-21111-2-22200-2-2-2-2-1-1-1-1-211-2-2111120-22211111100-1-1220000-1-1-1-10000-1-1-110-2001100-200200000000-1100
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χ2522222-122-1222-12-12-12-12-12-1-12-12-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10200022-1-1-1-1-1-122-1-1-1-122-1-1-1-12200000020-1-100-1-10200-1-1-1-100000000
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χ2722222-122-1222-12-12-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-102000-2-21111-1-1-2-211-1-1221111-2-200000020-1-100-1-10-200111100000000
χ2822222-122-1222-12-12-12-12-12-1-12-12-1-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-2000-2-2111111-2-21111-2-2111122000000-201100110200-1-1-1-100000000
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χ352222-122-122-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-1-1000000-2-20000-2-211000000-2-22-1-121-111-1-11100-20000011000010
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χ372222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-2-1-1000000220000-2-2-1-1000000222-1-1-211-1-1111100-200000-1-1000010
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χ392222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-2-1-1000000-2-200002211000000-2-22-1-1-2-111111-1-100200000110000-10
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χ844-44-44-2-2-42-2-42-2224-2-210221-12-2-22-100−232333−3−300−4i4i00−2i32i3−2i32i311-1-1000−232333−3−30000000i3−i3i3−i3002i−2i2i−2i0000−i−iii00000000000000000000000000000000
χ854-44-4-2442-442-44-4-4-2-2-240224-42-2-22-40000000000004-40000-2-222000000000000000000004-4000000-2200000000000000-2200000000000000000000
χ864-44-4-2442-442-44-4-4-2-2-240224-42-2-22-4000000000000-440000-2-22200000000000000000000-440000002-2000000000000002-200000000000000000000
χ874-44-4-2-242242-4-2-42-21-2-20-12-2221-2-120023−232323−23−2300004-4000011-1-1000−33−3−33300000000000-22000023−23-22000000000000001-100−330000000000000000
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χ894-44-4-2-242242-4-2-42-21-2-20-12-2221-2-1200−2323−23−23232300004-4000011-1-10003−333−3−300000000000-220000−2323-22000000000000001-1003−30000000000000000
χ904-44-4-2-242242-4-2-42-21-2-20-12-2221-2-1200−2323−23−2323230000-44000011-1-10003−333−3−3000000000002-2000023−232-200000000000000-1100−330000000000000000
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χ964-4-444-2-24-22-4-2222-4-2-210-2-2-112222-123−2300−333−3000000−2i32i32i3−2i31-11-1023−2300−333−30000000i3−i3−i3i30000000000−3i3i3i−3i00000000000000000000000000000000
χ974-4-444-2-24-22-4-2222-4-2-210-2-2-112222-123−2300−333−30000002i3−2i3−2i32i31-11-1023−2300−333−30000000−i3i3i3−i300000000003i−3i−3i3i00000000000000000000000000000000
χ984-4-444-2-24-22-4-2222-4-2-210-2-2-112222-1−2323003−3−33000000−2i32i32i3−2i31-11-10−2323003−3−330000000i3−i3−i3i300000000003i−3i−3i3i00000000000000000000000000000000
χ994-4-444-2-24-22-4-2222-4-2-210-2-2-112222-1−2323003−3−330000002i3−2i3−2i32i31-11-10−2323003−3−330000000−i3i3i3−i30000000000−3i3i3i−3i00000000000000000000000000000000
χ1004-4-44-244-24-424-4-4-42-2-240-2-2-442222-4000000000000000000-22-22000000000000−2i32i30000000000000000000000000−2i32i30000000000000000000000000
χ1014-4-44-244-24-424-4-4-42-2-240-2-2-442222-4000000000000000000-22-220000000000002i3−2i300000000000000000000000002i3−2i30000000000000000000000000
χ1024-4-44-24-2-2422-2-42-42-21-20-212-2-12-12223−230023−23−232300000000001-11-10−3300−333−3000−2i32i30000000000000000000000000i3−i3000003i−3i000000000000000000
χ1034-4-44-24-2-2422-2-42-42-21-20-212-2-12-12223−230023−23−232300000000001-11-10−3300−333−30002i3−2i30000000000000000000000000−i3i300000−3i3i000000000000000000
χ1044-4-44-24-2-2422-2-42-42-21-20-212-2-12-122−232300−232323−2300000000001-11-103−3003−3−33000−2i32i30000000000000000000000000i3−i300000−3i3i000000000000000000
χ1054-4-44-24-2-2422-2-42-42-21-20-212-2-12-122−232300−232323−2300000000001-11-103−3003−3−330002i3−2i30000000000000000000000000−i3i3000003i−3i000000000000000000
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
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χ10888-8-8-48-44-84-44-8-484-42-404-24424-2-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4844-8-4-848-442-4-40-2444-4-242-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4444-444-4-442220-2-2-2-22-2-22200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4444-444-4-442220-2-2-2-22-2-2220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-44-8-44484-8-4-42-404-2-44-2-424400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444-444-444-42220-2-22-2-222-2-20043−43−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-444-444-42220-2-22-2-222-2-200−43432323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48-4-4-8484-8442-4-402-44-44-24-240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-4-444-44444222022-22-2-2-2-2-243−4300−232323−230000000000-11-110−2323003−3−33000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-4-444-44444222022-22-2-2-2-2-2−43430023−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000

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