Finite Group Databasebeta

← Group #13169385

Character table — Group #13169385

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212444444121212123666121212121212121212444121212121212121212121212121212121212121212124444121212121212121212121212244412121212121244612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111-1-1111111111111111111-1-1-11-1-11111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111-1-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-111111111111111111111111-111-1-111-1-1-1-1111111111111-1-1-1-11-111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-11111-1-1-11-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-11111-1-1-11-1111-1-11111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111-111-1-1-1-111-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-111-1-1-1-1-1-111111111-1-11-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-111-1-1-1-1-1-1111111-1-11-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-111-111-1-111-1-111-1-1-1-111-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1111-1-1-1-111-1-11-11111-1-111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-11-111-1-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1111-1-1-1-111-11-1111-1-111-1-1-11-11
χ17222222-1222-1-1-12222-1-12-1-12-122-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1-1-122220000000000000022-1-122-1-1-1-1-1-1-1-12000-1-1000000-1000
χ18222222-1222-1-1-12222-1-12-1-12-122-1-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2200-1-111222200000000000000-2-21-1-2-2-1-1-1-11111-2000110000001000
χ19222222-1222-1-1-12222-1-12-1-12-122-1-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-20011-1-1-2-2-2-200000000000000-2-2-11221111-1-1-1-1-2000110000001000
χ20222222-1222-1-1-12222-1-12-1-12-122-1-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2001111-2-2-2-2000000000000002211-2-2111111112000-1-1000000-1000
χ21222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-11111111112-2-200-1-1-1-122-2-20000000000000022112-211-1-1-1-111-2000-1-10000001000
χ22222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-200-1-11122-2-200000000000000-2-2-11-2211-1-111-1-1200011000000-1000
χ23222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111112-220011-1-1-2-22200000000000000-2-21-12-2-1-111-1-111200011000000-1000
χ24222222-1222-1-1-12222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111-222001111-2-2220000000000000022-1-1-22-1-11111-1-1-2000-1-10000001000
χ2522222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1002222200-1-1-1-1-1-122-1-1-1-1-1-1-1-122000200-1-1-1-10000000200-1-1-1-1000000
χ2622222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-122-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1002-2-22200-1-1-1-111-2-211111111-2-2000200-1-1-1-10000000-2001111000000
χ2722222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-222-2-2001111-1-122-1-1-1-1-1-1-1-1-2-2000-20011110000000-2001111000000
χ2822222-1222-1222-1-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-200111111-2-21111111122000-20011110000000200-1-1-1-1000000
χ2922222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-21111112222-2-2-1-1-1-1-1-1-1-1-2-2-211111100-2-2-22200-1-1111122-1-1-1-11111-2-2000-20011-1-1000000020011-1-1000000
χ3022222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-211111122-2-2221111-1-1-1-1-2-2-211111100-2222200-1-111-1-1-2-21111-1-1-1-122000-20011-1-10000000-200-1-111000000
χ3122222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-2111111-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2111111002-2-2-2-20011-1-11122-1-1-1-1111122000200-1-1110000000-200-1-111000000
χ3222222-1222-1222-1-12-12-1-22-1-12-1-1-1-12-2-2111111-2-2-2-2221111-1-1-1-1-2-2-211111100222-2-20011-1-1-1-1-2-21111-1-1-1-1-2-2000200-1-111000000020011-1-1000000
χ332222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-1220-1-10022000022-1-1-1-1-1-1-1-1-1-1000020-1-10000-1-1-1-10220000000000-1-10
χ342222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-1-2-20-1-100-2-2000022-1-1-1-1-1-1-1-1-1-10000-2011000011110-2-20000000000110
χ352222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-12201100220000-2-21111111111000020-1-10000-1-1-1-10-2-20000000000110
χ362222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-201100-2-20000-2-211111111110000-2011000011110220000000000-1-10
χ372222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-211110022-2-22222-1-1-1-1-211-2-211112-201100220000-2-2-1-1-1-1-1-111110000-20-110000-1-11102-20000000000-110
χ382222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-211110022-2-22222-1-1-1-1-211-2-21111-2201100-2-20000-2-2-1-1-1-1-1-111110000201-1000011-1-10-2200000000001-10
χ392222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-2111100-2-222-2-2-2-2-1-1-1-1-211-2-211112-20-1-10022000022111111-1-1-1-10000-20-110000-1-1110-2200000000001-10
χ402222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-2111100-2-222-2-2-2-2-1-1-1-1-211-2-21111-220-1-100-2-2000022111111-1-1-1-10000201-1000011-1-102-20000000000-110
χ412-22-2222-2-22-22-2-2-222220-22-2-22-2-2-2200000000002-20022-2-222-2-20000000000000000000000002-222-2-20000002i−2i00000000000000002i−2i00002i−2i0000
χ422-22-2222-2-22-22-2-2-222220-22-2-22-2-2-2200000000002-20022-2-222-2-20000000000000000000000002-222-2-2000000−2i2i0000000000000000−2i2i0000−2i2i0000
χ432-22-2222-2-22-22-2-2-222220-22-2-22-2-2-220000000000-2200-2-22222-2-2000000000000000000000000-22-2-2220000002i−2i00000000000000002i−2i0000−2i2i0000
χ442-22-2222-2-22-22-2-2-222220-22-2-22-2-2-220000000000-2200-2-22222-2-2000000000000000000000000-22-2-222000000−2i2i0000000000000000−2i2i00002i−2i0000
χ452-2-22222-22-2-2-22-22-222202-2-2-2-222-2-2000000002i−2i002-200002-22-20000000000002-22i−2i002i−2i002-200000022-2-22i−2i000000002i−2i00000000002i−2i00000000
χ462-2-22222-22-2-2-22-22-222202-2-2-2-222-2-2000000002i−2i00-2200002-22-2000000000000-222i−2i002i−2i00-22000000-2-222−2i2i000000002i−2i0000000000−2i2i00000000
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χ482-2-22222-22-2-2-22-22-222202-2-2-2-222-2-200000000−2i2i00-2200002-22-2000000000000-22−2i2i00−2i2i00-22000000-2-2222i−2i00000000−2i2i00000000002i−2i00000000
χ492-2-222-12-221-2-221-1-2-12-10211-21-1-11-2003−333−3−32i−2i002-23−33−3-11-110003−333−3−30002-22i−2i00−ii−i3i3-11003−33−3-1-1112i−2i000000−i3i3−ii0000000000−ii−i3i3000000
χ502-2-222-12-221-2-221-1-2-12-10211-21-1-11-2003−333−3−32i−2i00-22−33−33-11-110003−333−3−3000-222i−2i00−ii−i3i31-100−33−3311-1-1−2i2i000000−i3i3−ii0000000000i−ii3−i3000000
χ512-2-222-12-221-2-221-1-2-12-10211-21-1-11-2003−333−3−3−2i2i002-23−33−3-11-110003−333−3−30002-2−2i2i00i−ii3−i3-11003−33−3-1-111−2i2i000000i3−i3i−i0000000000i−ii3−i3000000
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χ532-2-222-12-221-2-221-1-2-12-10211-21-1-11-200−33−3−3332i−2i002-2−33−33-11-11000−33−3−3330002-22i−2i00−iii3−i3-1100−33−33-1-1112i−2i000000i3−i3−ii0000000000−iii3−i3000000
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χ552-2-222-12-221-2-221-1-2-12-10211-21-1-11-200−33−3−333−2i2i002-2−33−33-11-11000−33−3−3330002-2−2i2i00i−i−i3i3-1100−33−33-1-111−2i2i000000−i3i3i−i0000000000i−i−i3i3000000
χ562-2-222-12-221-2-221-1-2-12-10211-21-1-11-200−33−3−333−2i2i00-223−33−3-11-11000−33−3−333000-22−2i2i00i−i−i3i31-1003−33−311-1-12i−2i000000−i3i3i−i0000000000−iii3−i3000000
χ5744444-2-244-2-2-2-2-2-24-2-214-21-2-2-2-211-244-2-2-2-2-2-244000000001111-2-2-211111100400-2-200-2-2-2-200000000000000000-200111100000000000000000000
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χ6044444-2-244-2-2-2-2-2-24-2-21-4-21-2-2-2-211-2-4-4222222-4-4000000001111222-1-1-1-1-1-100400220022-2-200000000000000000-20011-1-100000000000000000000
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χ7544-4-4-244-22-44-4-44-42-2-2402-4-2-222-4422i3−2i3002i3−2i32i3−2i30000000000-222-202i3−2i3002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ7644-4-4-24-2-22-4-2224-42-21-20-12-21222-2-1−2i32i300−2i32i3−2i32i300000000001-1-110i3−i300i3−i3i3−i3000000023−230000000000000000000000000000−333i−3i0000000000000000
χ7744-4-4-24-2-22-4-2224-42-21-20-12-21222-2-1−2i32i300−2i32i3−2i32i300000000001-1-110i3−i300i3−i3i3−i30000000−232300000000000000000000000000003−3−3i3i0000000000000000
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χ8044-4-4-2-24-2224-4-4-2221-2-20221-2-1-12-22−2i32i300i3−i3i3−i300000023−23−23231-1-110−2i32i300i3−i3i3−i300000000000000000−333−33i−3i3i−3i00000000000000000000000000000000
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χ924-44-4-2-2422-2-44-422-21-2-202-2-121-122-20000−3i3i3i−3i004-400-2-22211-1-100000−3i3i3i−3i000000000000000-2211-1-1−3i3i3i−3i00000000000000000000000000000000
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χ1024-4-44-2-242-22-4-442-221-2-20-22-12-11-2220023−23−3−33300004-423−2323−231-11-100023−23−3−333000-2200000000-2200−33−3311-1-100000000000000000000000000000000
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χ1044-4-44-2-242-22-4-442-221-2-20-22-12-11-22200−232333−3−300004-4−2323−23231-11-1000−232333−3−3000-2200000000-22003−33−311-1-100000000000000000000000000000000
χ1054-4-44-2-242-22-4-442-221-2-20-22-12-11-22200−232333−3−30000-4423−2323−231-11-1000−232333−3−30002-2000000002-200−33−33-1-11100000000000000000000000000000000
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χ11088-8-8-4-4-4-444-444-4442220-2-222-2-2-22-24i3−4i300−2i32i3−2i32i30000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-4-8-8-44-44448-4-4204244-44-2-2-400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
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χ1138-88-8-4-4-444-44-4444-42220-22-2-22-2-2-2200006i−6i−6i6i0000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-44-4444-44-4422202-2-2-2-222-2-200−43432323−23−230000000000-11-1100023−23−3−333000000000000000000000000000000000000000000000000000000000

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