Finite Group Databasebeta

← Group #13169248

Character table — Group #13169248

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121244444412121212366612121212121212121244412121212121212121212121212121212121212121212224412121212121212121212121244446612121212221212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111111111-1-111111111-1-111-1-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111-1-1-1-111-1-11111111111-1-1-1-1111-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-11111-1-1-1-11-1-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-11-1-111-1-1-1-11-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11-111-1-111-1-11-11-11111-1-111-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-11-1-111-1-111-11-1-111-1-111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-1-111111111-1-11-111-1-111-1-1-11-1-111-1-111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-11-1-111-1-1111-11-11111-1-1-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-1111-11-1
χ17222222-1-122-1222-122-1-12-1-12-122-1-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12220000222200-1-1-1-1000000002200-122-1-1-1-1-1-1-1-1-10002-1-100000000-10
χ18222222-1-122-1222-122-1-12-1-12-122-1-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-20000222200-1-11100000000-2-2001-2-2-11111-1-1-1-1000-2110000000010
χ19222222-1-122-1222-122-1-12-1-12-122-1-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-220000-2-2-2-20011-1-100000000-2-200-1221-1-1-1-11111000-2110000000010
χ20222222-1-122-1222-122-1-12-1-12-122-1-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000-2-2-2-20011110000000022001-2-21111111110002-1-100000000-10
χ21222222-1-122-1222-122-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-2000022-2-200-1-11100000000-2-200-12-2111-1-1-1-11100021100000000-10
χ22222222-1-122-1222-122-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22000022-2-200-1-1-1-10000000022001-221-1-111-1-111000-2-1-10000000010
χ23222222-1-122-1222-122-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-20000-2-222001111000000002200-12-2-111-1-111-1-1000-2-1-10000000010
χ24222222-1-122-1222-122-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-2220000-2-2220011-1-100000000-2-2001-22-1-1-11111-1-100021100000000-10
χ2522222-1222-122-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1202-1-1220000-1-10022-1-1-1-1-1-1-1-100002-1-10-1-1-1-10000022000000000-1-100
χ2622222-1222-122-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1-20-2-1-1220000-1-100-2-2-1-1-1-1-1-1-1-10000-2110111100000-2-20000000001100
χ2722222-1222-122-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-120211-2-200001100221111111100002-1-10-1-1-1-100000-2-20000000001100
χ2822222-1222-122-1-122-12-122-1-12-1-1-1-12-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-211-2-200001100-2-2111111110000-211011110000022000000000-1-100
χ2922222-1222-122-1-122-12-1-22-1-12-1-1-1-1211-2-2111122-2-2002222-1-1-1-1-2-2-211111120-2-1-1-2-200001100-2-2-1-1-1-1111100002-11011-1-1000002-2000000000-1100
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χ3122222-1222-122-1-122-12-1-22-1-12-1-1-1-1211-2-21111-2-22200-2-2-2-2-1-1-1-1-2-2-211111120-211220000-1-100-2-21111-1-1-1-100002-11011-1-100000-220000000001-100
χ3222222-1222-122-1-122-12-1-22-1-12-1-1-1-1211-2-21111-2-22200-2-2-2-2-1-1-1-1-2-2-2111111-20211220000-1-100221111-1-1-1-10000-21-10-1-111000002-2000000000-1100
χ332222-1222-122-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-102022-1-1-1-1-1-1222200-1-1-1-1-1-1-1-1002200020000-1-1-1-1200000-1-1-1-1000000
χ342222-1222-122-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2022-1-1111122-2-200-1-1-1-1-1-1-1-100-2-2000-200001111-2000001111000000
χ352222-1222-122-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1020-2-211-1-1-1-1-2-222001111111100-2-200020000-1-1-1-1-2000001111000000
χ362222-1222-122-1222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-2111111-2-2-2-200111111110022000-200001111200000-1-1-1-1000000
χ372222-1222-122-1222-1-1-12-2-12-1-1-1-122-1-2-211111122-2-222-1-1-1-1-1-1-1-1-211-2-211110-202211-1-111-2-22200-1-1-1-1111100-2-2000-20000-1-111200000-1-111000000
χ382222-1222-122-1222-1-1-12-2-12-1-1-1-122-1-2-211111122-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111020221111-1-1-2-2-2-200-1-1-1-1111100220002000011-1-1-20000011-1-1000000
χ392222-1222-122-1222-1-1-12-2-12-1-1-1-122-1-2-2111111-2-222221111-1-1-1-1-211-2-211110-20-2-2-1-1-1-1112222001111-1-1-1-10022000-20000-1-111-20000011-1-1000000
χ402222-1222-122-1222-1-1-12-2-12-1-1-1-122-1-2-2111111-2-222-2-21111-1-1-1-1-211-2-21111020-2-2-1-111-1-122-2-2001111-1-1-1-100-2-20002000011-1-1200000-1-111000000
χ4122-2-2222222-2-2-2-2-2-2222022-2-22-2-2-2-2000000002-2000022-2-222-2-20000000000002-200000000000022-2-200002-20000000000000000002-200002-20000
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χ4422-2-2222222-2-2-2-2-2-2222022-2-22-2-2-2-200000000-220000-2-22222-2-2000000000000-22000000000000-2-2220000-22000000000000000000-2200002-20000
χ452-22-2222-2-2-22-22-2-222220-2-222-2-2-22-200000000002i−2i2i−2i00002-2-22000000000000002i−2i2i−2i002i−2i2i−2i0000002i2i−2i−2i002-2000000002i−2i00000000002-2000000
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χ482-22-2222-2-2-22-22-2-222220-2-222-2-2-22-20000000000−2i2i−2i2i00002-2-2200000000000000−2i2i−2i2i00−2i2i−2i2i000000−2i−2i2i2i002-200000000−2i2i00000000002-2000000
χ492-22-2-122-21-2212-2-2-1-1-1201-2-1-111-22100−i3i3−i3−i3i3i3002i−2i2i−2i3−33−3-111-10−i3i300−i3−i3i3i300000−ii−ii3−32i−2i2i−2i003−33−3−i−iii002-200000000−ii3−3000000−i3i3-11000000
χ502-22-2-122-21-2212-2-2-1-1-1201-2-1-111-22100−i3i3−i3−i3i3i3002i−2i−2i2i3−33−3-111-10−i3i300−i3−i3i3i300000−iii−i−332i−2i−2i2i003−33−3−i−iii00-2200000000i−i−33000000i3−i31-1000000
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χ552-22-2-122-21-2212-2-2-1-1-1201-2-1-111-22100i3−i3i3i3−i3−i300−2i2i2i−2i3−33−3-111-10i3−i300i3i3−i3−i300000i−i−ii−33−2i2i2i−2i003−33−3ii−i−i00-2200000000−ii−33000000−i3i31-1000000
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χ884-44-4-2-24-42242-22-4-21-2-20221-2-1-12-2200−2i32i3i3i3−i3−i300−4i4i00−2323−23231-1-110−2i32i300i3i3−i3−i3000002i−2i00002i−2i00003−33−3−i−iii00000000000000000000000000000000
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χ904-44-4-2-24-42242-22-4-21-2-20221-2-1-12-22002i3−2i3−i3−i3i3i300−4i4i0023−2323−231-1-1102i3−2i300−i3−i3i3i3000002i−2i00002i−2i0000−33−33−i−iii00000000000000000000000000000000
χ914-4-44444-4-4-4-44-444-44440-4-4-4-4-444-440000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-22-4-424-44-2-44-2-2022-42-44-22-2000000000000000000-22-22000000000000000000000000−2i32i30000000000000000−2i32i30000000000000000000000
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χ944-4-444-24-4-42-442-24-4-24-20-422-42-2-22423−230023−23−23230000000000-22-2200023−2323−23−2323000000000000000000000000000000000000000000000000000000000
χ954-4-444-24-4-42-442-24-4-24-20-422-42-2-224−232300−232323−230000000000-22-22000−2323−232323−23000000000000000000000000000000000000000000000000000000000
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χ1024-4-44-2-24-422-4-22-2421-2-2022-12-11-22-223−2300−333−300000023−23−23231-11-100023−23−333−300000000000000000−333−33-3-3300000000000000000000000000000000
χ1034-4-44-2-24-422-4-22-2421-2-2022-12-11-22-223−2300−333−3000000−232323−231-11-100023−23−333−3000000000000000003−3−33-333-300000000000000000000000000000000
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χ1054-4-44-2-24-422-4-22-2421-2-2022-12-11-22-2−2323003−3−33000000−232323−231-11-1000−23233−3−33000000000000000003−3−333-3-3300000000000000000000000000000000
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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
χ10888-8-88-4-4-48-44-8444-8-4-420-4244-44-2-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-4-4-4844-8-844-42-402-44-2-4444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-4-4-4444444222022-2-22-2-2-2-200006i−6i6i−6i0000000000-1-11100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4-4-4-4444444222022-2-22-2-2-2-20000−6i6i−6i6i0000000000-1-111000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1128-88-88-4-44-84-4-8-4448-4-4204-2-4-444-2240000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444-44-444-42220-2-222-2-2-22-200−4i34i32i32i3−2i3−2i30000000000-111-102i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4444-44-444-42220-2-222-2-2-22-2004i3−4i3−2i3−2i32i32i30000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-44444-44-4-442220-2-2-2-2-222-22−43430023−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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