Finite Group Databasebeta

← Group #13169404

Character table — Group #13169404

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212124441212121212121212121212121212121212121212121244441212121212121212121212122244661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111-1-111111111111111111111-1-1-1-11-111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-11-1-111-1-111-1-1111111111111-1-1-1-111-11-1-111-1-111-11-11-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-11-11-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-1-111-1-1111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-1-1-11-1-11111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-111-111-1-1-111-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-11111-1-1-1-111-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-111-1-1-1-1111111-1-111-1-111-1-11-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-11-1-11111-1-1-1-111-1-111-1-111111-1-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-11111-1-1-1-1-1-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-11111-1-1-111-1-1-111-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111-111-1-1-1-11111-1-1-11-1-1111111-11-1-1
χ17222222-1222-12-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1202002200-1-10022-1-1-1-1-1-1-1-1-1-10000-1-10200-1-100-1-1020200000000-1-100
χ18222222-1222-12-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1-20-200-2-200-1-10022-1-1-1-1-1-1-1-1-1-10000110-2001100110-20-2000000001100
χ19222222-1222-12-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-12020022001100-2-211111111110000-1-10200-1-100-1-10-20-2000000001100
χ20222222-1222-12-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-200-2-2001100-2-211111111110000110-200110011020200000000-1-100
χ21222222-1222-12-12-122-1-1-22-1-12-1-1-12-1-2-211111122-2-200-2-2-2-2-1-1-1-1-2-2-211111120-2002200-1-1002211-1-1-1-1111100001-10-200-1-100110-202000000001-100
χ22222222-1222-12-12-122-1-1-22-1-12-1-1-12-1-2-211111122-2-200-2-2-2-2-1-1-1-1-2-2-2111111-20200-2-200-1-1002211-1-1-1-111110000-1102001100-1-1020-200000000-1100
χ23222222-1222-12-12-122-1-1-22-1-12-1-1-12-1-2-2111111-2-222002222-1-1-1-1-2-2-211111120-20022001100-2-2-1-11111-1-1-1-100001-10-200-1-10011020-200000000-1100
χ24222222-1222-12-12-122-1-1-22-1-12-1-1-12-1-2-2111111-2-222002222-1-1-1-1-2-2-2111111-20200-2-2001100-2-2-1-11111-1-1-1-10000-1102001100-1-10-202000000001-100
χ2522222-1222-12-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-10202200-1-122-1-1-1-122-1-1-1-1-1-1-1-122000020-1-100-1-1002000-1-1-1-100000000
χ2622222-1222-12-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-10-20-2-200112211-1-122-1-1-1-1-1-1-1-1-2-20000-2011001100-2000111100000000
χ2722222-1222-12-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-10202200-1-1-2-2-1-111-2-211111111-2-2000020-1-100-1-100-2000111100000000
χ2822222-1222-12-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-20011-2-21111-2-211111111220000-20110011002000-1-1-1-100000000
χ2922222-1222-12-12-122-12-1-2-12-1-12-1-1-1211-2-2111122-2-2221111-1-1-1-1-211-2-211110-2022001122-1-1-1-1-2-2-1-1-1-11111220000-20-1-1001100-200011-1-100000000
χ3022222-1222-12-12-122-12-1-2-12-1-12-1-1-1211-2-2111122-2-2-2-21111-1-1-1-1-211-2-21111020-2-200-1-12211-1-1-2-2-1-1-1-11111-2-20000201100-1-1002000-1-11100000000
χ3122222-1222-12-12-122-12-1-2-12-1-12-1-1-1211-2-21111-2-22222-1-1-1-1-1-1-1-1-211-2-211110-20220011-2-2-1-111221111-1-1-1-1-2-20000-20-1-10011002000-1-11100000000
χ3222222-1222-12-12-122-12-1-2-12-1-12-1-1-1211-2-21111-2-222-2-2-1-1-1-1-1-1-1-1-211-2-21111020-2-200-1-1-2-21111221111-1-1-1-1220000201100-1-100-200011-1-100000000
χ332222-122-1-1222222-1-1-122-1-12-1-122-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1220022000000000000002222-1-1-1-1-1-1-1-1-1-100200000-1-10000-10
χ342222-122-1-1222222-1-1-122-1-12-1-122-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-1-11122002200000000000000-2-2-2-2-11-1-111-1-11100-20000011000010
χ352222-122-1-1222222-1-1-122-1-12-1-122-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-2211-1-1-2-200-2-200000000000000-2-2221-111-1-111-1-100-20000011000010
χ362222-122-1-1222222-1-1-122-1-12-1-122-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2-200-2-20000000000000022-2-2111111111100200000-1-10000-10
χ372222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-2-1-1-1-1-2-200220000000000000022-2211-1-1-1-1111100-200000-1-1000010
χ382222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22-1-111-2-2002200000000000000-2-22-21-1-1-11111-1-100200000110000-10
χ392222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-211-1-12200-2-200000000000000-2-2-22-1111-1-1-1-11100200000110000-10
χ402222-122-1-1222222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-22211112200-2-200000000000000222-2-1-11111-1-1-1-100-200000-1-1000010
χ412-22-2222-2-222-2-2-2-222220-2-22-2-2-2-22200000000002i−2i002i2i−2i−2i2-2-220000000000000000000000002i−2i00002i2i−2i−2i002-2000000000000000000002-22i−2i0000
χ422-22-2222-2-222-2-2-2-222220-2-22-2-2-2-22200000000002i−2i002i2i−2i−2i2-2-220000000000000000000000002i−2i00002i2i−2i−2i00-2200000000000000000000-22−2i2i0000
χ432-22-2222-2-222-2-2-2-222220-2-22-2-2-2-2220000000000−2i2i00−2i−2i2i2i2-2-22000000000000000000000000−2i2i0000−2i−2i2i2i002-2000000000000000000002-2−2i2i0000
χ442-22-2222-2-222-2-2-2-222220-2-22-2-2-2-2220000000000−2i2i00−2i−2i2i2i2-2-22000000000000000000000000−2i2i0000−2i−2i2i2i00-2200000000000000000000-222i−2i0000
χ452-2-222222-2-2-22-2-22-22220-22-22-22-2-2-2000000002i−2i002-2000022-2-20000000000002-200002i−2i2-22i−2i002i2i−2i−2i00002i−2i0000002-20000000000002i−2i00000000
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χ492-2-222-122-21-2-1-212-2-12-10121-1-2-111-23−30033−3−32i−2i002-2−i3i3−i3i3-1-11103−30033−3−30002-2003−32i−2i-11−ii00−i−iii−i3i3−i3i32i−2i000000-11003−3000000−i3i3−ii00000000
χ502-2-222-122-21-2-1-212-2-12-10121-1-2-111-23−30033−3−32i−2i00-22−i3i3−i3i3-1-11103−30033−3−3000-2200−332i−2i1-1−ii00−i−iii−i3i3−i3i3−2i2i0000001-100−33000000i3−i3i−i00000000
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χ884-44-44-2-2-4-4-2-222224-2-21022122-1-1-2-200003-3-33004i−4i00−2i−2i2i2i1-1-11000003-3-33000000000000000−2i2i3i−3i−3i3iii−i−i00000000000000000000000000000000
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χ904-44-44-2-2-4-4-2-222224-2-21022122-1-1-2-20000-333-3004i−4i00−2i−2i2i2i1-1-1100000-333-3000000000000000−2i2i−3i3i3i−3iii−i−i00000000000000000000000000000000
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χ934-44-4-2442244-4-4-4-4-2-2-24022422-4-4-2-2000000000000000000-222-2000000000000000000000000000000000000-44000000000000000000002-2000000
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χ984-4-444-2-24-422-222-2-4-2-2102-2-1-221-122−23230033−3−34i−4i00002i3−2i32i3−2i311-1-10−23230033−3−3000000000−2i2i00−2i2i00ii−i−i−i3i3−i3i300000000000000000000000000000000
χ994-4-444-2-24-422-222-2-4-2-2102-2-1-221-122−23230033−3−3−4i4i0000−2i32i3−2i32i311-1-10−23230033−3−30000000002i−2i002i−2i00−i−iiii3−i3i3−i300000000000000000000000000000000
χ1004-4-44-244-22-4-44-4-442-2-2402-2-4-224-4220000000000004-40000-2-222000000000000-220000004-400000000000000000000-220000000000000000000000
χ1014-4-44-244-22-4-44-4-442-2-2402-2-4-224-422000000000000-440000-2-2220000000000002-2000000-44000000000000000000002-20000000000000000000000
χ1024-4-44-2-24-222-4-2-42421-2-20-1-2212-22-1223−23002323−23−2300004-4000011-1-10−3300−3−333000-220023−2300-22000000000000000000001-100−33000000000000000000
χ1034-4-44-2-24-222-4-2-42421-2-20-1-2212-22-1223−23002323−23−230000-44000011-1-10−3300−3−3330002-200−2323002-200000000000000000000-11003−3000000000000000000
χ1044-4-44-2-24-222-4-2-42421-2-20-1-2212-22-12−232300−23−23232300004-4000011-1-103−30033−3−3000-2200−232300-22000000000000000000001-1003−3000000000000000000
χ1054-4-44-2-24-222-4-2-42421-2-20-1-2212-22-12−232300−23−2323230000-44000011-1-103−30033−3−30002-20023−23002-200000000000000000000-1100−33000000000000000000
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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χ10988-8-8-4-4-44-4444-4-44422202-2-2-22-22-2-20043−43−2323−23230000000000-11-11000−23233−33−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-4444-4-44422202-2-2-22-22-2-200−434323−2323−230000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4448-4-84-84-4-42-404-2-44-244-420000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4844-484-84-8-42-4-40-24-4-24442-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
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χ1148-88-8-4-4-444-4-44444-42220-2-22-2-2-2-2220000-666-60000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000
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χ1178-8-88-4-4-4-4444-444-442220-22-22-22-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000

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