Finite Group Databasebeta

← Group #13168494

Character table — Group #13168494

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444121212123666121212121212121212444666666661212121212121212121212121212444412121212121212121212121224446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1111111111111-1-1-1-1-1111-1-111-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111111111111111111-111111111-1-111-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-1111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11-11-1-1-1-1-11111-1-111-1-111-1-1111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111111111-1-1111111-1-1-1-1-1-11111-11-1-1-1-11111-1-1-11-1-1-1-11111-1-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111-1-1-1-1111-11-111-1-111-1-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1111-1-1-1-111-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11-11-1-1-1-1-1111111-1111-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-11-1-1-1-11111-1-11-11-111-1-111111-1-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111-11111-1-1-1-111-11-1-1-1-1111111-11-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-111111-1-1-1-1-1-111-1-111-1-1-1-11-111
χ17222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100222-1-1-1-1-1-1-1-10022-1-122-1-1-1-122000002-1-100-1-1002000-1-1-1-100000000
χ18222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-222-1-1-1-1-1-11100-2-21122-1-1-1-1-2-200000-211001100-2000111100000000
χ19222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-1002-2-2111111-1-10022-1-1-2-21111-2-2000002-1-100-1-100-2000111100000000
χ20222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-21111111100-2-211-2-211112200000-2110011002000-1-1-1-100000000
χ21222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-2111122-2-2221111-1-1-1-1-2-2-211111100-222-1-1-1-1-1-1110022-1-1-2-211112200000-21100-1-100-200011-1-100000000
χ22222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-2111122-2-2-2-21111-1-1-1-1-2-2-211111100222-1-1-1-1-1-1-1-100-2-211-2-21111-2-2000002-1-10011002000-1-11100000000
χ23222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-21111-2-22222-1-1-1-1-1-1-1-1-2-2-211111100-2-2-2111111110022-1-122-1-1-1-1-2-200000-21100-1-1002000-1-11100000000
χ24222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-21111-2-222-2-2-1-1-1-1-1-1-1-1-2-2-2111111002-2-2111111-1-100-2-21122-1-1-1-122000002-1-1001100-200011-1-100000000
χ2522222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1220-1-122-1-1-1-100220000-1-1-1-1-1-100002-1-1000-1-100-1-1022000000000-1-100
χ2622222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1-2-20-1-122-1-1-1-100-2-20000-1-1-1-1-1-10000-2110001100110-2-20000000001100
χ2722222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-122011-2-211110022000011111100002-1-1000-1-100-1-10-2-20000000001100
χ2822222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-2011-2-2111100-2-200001111110000-211000110011022000000000-1-100
χ2922222-12-122222-1-12-12-1-2-12-1-1-12-12-1-2-211111122-2-200-2-2-2-2-1-1-1-1-211-2-211112-20-1-122-1-1-1-100-2-20000111111000021-10001100-1-10-22000000000-1100
χ3022222-12-122222-1-12-12-1-2-12-1-1-12-12-1-2-211111122-2-200-2-2-2-2-1-1-1-1-211-2-21111-220-1-122-1-1-1-1002200001111110000-2-11000-1-1001102-20000000001-100
χ3122222-12-122222-1-12-12-1-2-12-1-1-12-12-1-2-2111111-2-222002222-1-1-1-1-211-2-211112-2011-2-2111100-2-20000-1-1-1-1-1-1000021-10001100-1-102-20000000001-100
χ3222222-12-122222-1-12-12-1-2-12-1-1-12-12-1-2-2111111-2-222002222-1-1-1-1-211-2-21111-22011-2-2111100220000-1-1-1-1-1-10000-2-11000-1-100110-22000000000-1100
χ332222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12220000000022-1-1-1-1220000000022-122-1-1-1-1-1-1-1-1-100020000-1-10000-10
χ342222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22000000002211-1-12200000000-2-21-2-2-1-1-111-1-111000-2000011000010
χ352222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-122-200000000-2-2-1-111-2-200000000-2-2-122111-1-111-1-1000-2000011000010
χ362222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-200000000-2-21111-2-200000000221-2-211111111100020000-1-10000-10
χ372222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-200000000-2-211-1-12200000000-2-2-1-2211111-1-1-1-100020000110000-10
χ382222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-200000000-2-2-1-1-1-122000000002212-2111-1-1-1-111000-20000-1-1000010
χ392222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-11111111112-2200000000221111-2-20000000022-1-22-1-1-11111-1-1000-20000-1-1000010
χ402222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-2220000000022-1-111-2-200000000-2-212-2-1-1-1-1-1111100020000110000-10
χ4122-2-2222-2-2-222-2-22-22220-2-2-2-2-2-222200000000002-20022-2-22-2-2200000000000000000000000000002-222-2-2002i−2i000000000000000000002i−2i2i−2i0000
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χ4322-2-2222-2-2-222-2-22-22220-2-2-2-2-2-22220000000000-2200-2-2222-2-220000000000000000000000000000-22-2-222002i−2i000000000000000000002i−2i−2i2i0000
χ4422-2-2222-2-2-222-2-22-22220-2-2-2-2-2-22220000000000-2200-2-2222-2-220000000000000000000000000000-22-2-22200−2i2i00000000000000000000−2i2i2i−2i0000
χ452-2-222222-22-2-2-2-2-2222202-22-2-22-2-2-2000000002-2002i−2i000022-2-20000000000002-22-222-2-200002i−2i2i−2i0000002i−2i00000000002i−2i000000002i−2i00000000
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χ482-2-222222-22-2-2-2-2-2222202-22-2-22-2-2-200000000-2200−2i2i000022-2-2000000000000-22-22-2-2220000−2i2i−2i2i0000002i−2i0000000000−2i2i000000002i−2i00000000
χ492-2-2222-12-2-1-211-2-222-1-1021-11-2-1-2113−30033−3−32-2002i−2i3−33−3-1-1110003−333−3−30002-2-11-1-111−i3i3002i−2i−ii003−33−32i−2i000000−i3i300−ii000000−i3i3−ii00000000
χ502-2-2222-12-2-1-211-2-222-1-1021-11-2-1-2113−30033−3−32-200−2i2i3−33−3-1-1110003−333−3−30002-2-11-1-111i3−i300−2i2ii−i003−33−3−2i2i000000i3−i300i−i000000i3−i3i−i00000000
χ512-2-2222-12-2-1-211-2-222-1-1021-11-2-1-2113−30033−3−3-22002i−2i−33−33-1-1110003−333−3−3000-221-111-1-1−i3i3002i−2i−ii00−33−33−2i2i000000−i3i300−ii000000i3−i3i−i00000000
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χ5744444-2-2-24-24-2-2-2-24-2-214-2-211-2-2-2-21-2-2-2-21111444400-2-2-2-211114-2-2-2-21111000-2-2-2-2111100000000-2-2111100000000000000000000000000000000
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χ874-44-44-2-2242-42-2-22-4-2-2102-2-11-2222-100−23233−3−33000000−232323−231-11-10−2323003−3−330000000-333-300000000003−3−3300000000000000000000000000000000
χ884-44-4-244-4-2-42-444-42-2-2402-2-44-2222-4000000000000000000-22-220000000000000000000000−2i32i300000000000000000000−2i32i300000000000000000000
χ894-44-4-244-4-2-42-444-42-2-2402-2-44-2222-4000000000000000000-22-2200000000000000000000002i3−2i3000000000000000000002i3−2i300000000000000000000
χ904-44-4-2-242-2-42-44-2221-2-20-1-22-212-1220023−2323−23−232300000000001-11-10−3300−333−30000000000000−2i32i300000000000000000000i3−i3003i−3i0000000000000000
χ914-44-4-2-242-2-42-44-2221-2-20-1-22-212-1220023−2323−23−232300000000001-11-10−3300−333−300000000000002i3−2i300000000000000000000−i3i300−3i3i0000000000000000
χ924-44-4-2-242-2-42-44-2221-2-20-1-22-212-12200−2323−232323−2300000000001-11-103−3003−3−330000000000000−2i32i300000000000000000000i3−i300−3i3i0000000000000000
χ934-44-4-2-242-2-42-44-2221-2-20-1-22-212-12200−2323−232323−2300000000001-11-103−3003−3−3300000000000002i3−2i300000000000000000000−i3i3003i−3i0000000000000000
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χ964-4-444-2-2-2-4-2-422224-2-210-221-12-222-123−2300−3−3334-4000023−2323−2311-1-100023−23−3−333000-22-2211-1-10000000000−33−3300000000000000000000000000000000
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χ984-4-444-2-2-2-4-2-422224-2-210-221-12-222-1−23230033−3−34-40000−2323−232311-1-1000−232333−3−3000-22-2211-1-100000000003−33−300000000000000000000000000000000
χ994-4-444-2-2-2-4-2-422224-2-210-221-12-222-1−23230033−3−3-44000023−2323−2311-1-1000−232333−3−30002-22-2-1-1110000000000−33−3300000000000000000000000000000000
χ1004-4-44-2444242-4-4-4-4-2-2-240-224-42-222-40000000000004i−4i0000-2-222000000000000000000000000−2i2i4i−4i000000000000000000−2i2i000000000000000000
χ1014-4-44-2444242-4-4-4-4-2-2-240-224-42-222-4000000000000−4i4i0000-2-2220000000000000000000000002i−2i−4i4i0000000000000000002i−2i000000000000000000
χ1024-4-44-24-242-2222-4-4-2-21-20-2-1-22212-1223−23002323−23−2300004i−4i000011-1-1000−33−3−33300000000000−2i32i300−2i2i−2i2i00000000000000i3−i300i−i000000000000000000
χ1034-4-44-24-242-2222-4-4-2-21-20-2-1-22212-1223−23002323−23−230000−4i4i000011-1-1000−33−3−333000000000002i3−2i3002i−2i2i−2i00000000000000−i3i300−ii000000000000000000
χ1044-4-44-24-242-2222-4-4-2-21-20-2-1-22212-12−232300−23−23232300004i−4i000011-1-10003−333−3−3000000000002i3−2i300−2i2i−2i2i00000000000000−i3i300i−i000000000000000000
χ1054-4-44-24-242-2222-4-4-2-21-20-2-1-22212-12−232300−23−2323230000−4i4i000011-1-10003−333−3−300000000000−2i32i3002i−2i2i−2i00000000000000i3−i300−ii000000000000000000
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
χ10888-8-8-48-4-844-4-44-884-42-404-2444-2-42-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4844-8-48-84-442-4-40-2444-242-4-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4444-4-444-442220-2-2-2-2-2-222200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4444-4-444-442220-2-2-2-2-2-22220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-4-8-4444-48-84-42-40424-4-4-24-240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44-4444-4-4442220-22-222-2-2-2-20043−43−232323−230000000000-11-110−2323003−3−33000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-44-4444-4-4442220-22-222-2-2-2-200−434323−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48-4484-8-844-42-4-4024-44-2-4-24400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-44-444444-422202-22-2-22-2-2-243−4300−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-44-444444-422202-22-2-22-2-2-2−4343002323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000

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