Finite Group Databasebeta

← Group #13169374

Character table — Group #13169374

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212124441212121212121212121212121212121212121212121244441212121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111-1-1111-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-1111111-1-1-1-111-1-11111111111-1-1-1-1-1111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111111-1-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-111-1-11111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-111-1-1-1-111-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-11-111-1-111-1-1-11-11-1-111-1-1-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1111-1-1-1-111-1-11-11111-1-111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-111-1-1-1-111111111-1-11-1-1-11111-1-1-1-11-11111-1-1-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-11111-1-111-11-11-1-111-1-111-11-11-1-111-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-111-1-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1111-1-1-1-11111-1-111-1-111-1-1-11-11
χ17222222-1222-1-12-1222-1-12-1-12-122-1-1-1222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-122-1-1002200000000002200-1-122-1-1-1-1-1-1-1-10002-1-1000000-1000
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χ19222222-1222-1-12-1222-1-12-1-12-122-1-1-1222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-22200-1-1-2-21100-2-20000000000-2-2001-1221111-1-1-1-1000-2110000001000
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χ21222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-200-1-122-1-100-2-200000000002200112-211-1-1-1-111000-2-1-10000001000
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χ23222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-200-1-1-2-21100220000000000-2-200-112-2-1-111-1-111000211000000-1000
χ24222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20000-2-20000-1-1-1-11111111112-220011-2-211002200000000002200-1-1-22-1-11111-1-1000-2-1-10000001000
χ2522222-1222-122-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12002200-1-122-1-1-1-122-1-1-1-1-1-1-1-100222000-1-1-1-10000200000-1-1-1-1000000
χ2622222-1222-122-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-200220011-2-2-1-11122-1-1-1-1-1-1-1-100-2-2-200011110000-2000001111000000
χ2722222-1222-122-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-1200-2-200-1-12211-1-1-2-21111111100-2-22000-1-1-1-10000-2000001111000000
χ2822222-1222-122-12-12-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-20011-2-21111-2-2111111110022-200011110000200000-1-1-1-1000000
χ2922222-1222-122-12-12-12-1-22-1-12-1-1-1-12-2-211111122-2-222-1-1-1-1-1-1-1-1-2-2-2111111-2002200-1-1221111-2-2-1-1-1-1111100-2-2-200011-1-1000020000011-1-1000000
χ3022222-1222-122-12-12-12-1-22-1-12-1-1-1-12-2-211111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2111111200220011-2-211-1-1-2-2-1-1-1-1111100222000-1-1110000-200000-1-111000000
χ3122222-1222-122-12-12-12-1-22-1-12-1-1-1-12-2-2111111-2-222221111-1-1-1-1-2-2-2111111-200-2-200-1-122-1-111221111-1-1-1-10022-200011-1-10000-200000-1-111000000
χ3222222-1222-122-12-12-12-1-22-1-12-1-1-1-12-2-2111111-2-222-2-21111-1-1-1-1-2-2-2111111200-2-20011-2-2-1-1-1-1221111-1-1-1-100-2-22000-1-111000020000011-1-1000000
χ332222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1022-1-12200002200-1-1-1-1-1-1-1-1-1-1000002-1-10000-1-1-1-10220000000000-1-10
χ342222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-10-2-2-1-1-2-200002200-1-1-1-1-1-1-1-1-1-100000-211000011110-2-20000000000110
χ352222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-102211220000-2-2001111111111000002-1-10000-1-1-1-10-2-20000000000110
χ362222-122-1-1222222-1-1-122-12-1-1-1-122-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-211-2-20000-2-200111111111100000-211000011110220000000000-1-10
χ372222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-2111122-2-2002222-1-1-1-1-211-2-2111102-2-1-1220000-2-20011-1-1-1-1111100000-2-110000-1-11102-20000000000-110
χ382222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-2111122-2-2002222-1-1-1-1-211-2-211110-22-1-1-2-20000-2-20011-1-1-1-111110000021-1000011-1-10-2200000000001-10
χ392222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-21111-2-22200-2-2-2-2-1-1-1-1-211-2-2111102-2112200002200-1-11111-1-1-1-100000-2-110000-1-1110-2200000000001-10
χ402222-122-1-1222222-1-1-12-2-12-1-1-1-122-111-2-21111-2-22200-2-2-2-2-1-1-1-1-211-2-211110-2211-2-200002200-1-11111-1-1-1-10000021-1000011-1-102-20000000000-110
χ4122-2-2222-2222-2-2-2-2-2222022-2-22-2-2-2-2000000002-2000022-2-222-2-20000000000002-200000000000022-2-200002-20000000000000000002-200002-20000
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χ4322-2-2222-2222-2-2-2-2-2222022-2-22-2-2-2-200000000-220000-2-22222-2-2000000000000-22000000000000-2-22200002-20000000000000000002-20000-220000
χ4422-2-2222-2222-2-2-2-2-2222022-2-22-2-2-2-200000000-220000-2-22222-2-2000000000000-22000000000000-2-2220000-22000000000000000000-2200002-20000
χ452-22-2222-2-2-2-22-2-2222220-2-2-2-2-222-2200000000002-22i−2i00002-22-200000000000000002i−2i2i−2i2-2002-2000022-2-2002i−2i0000002i−2i00000000002i−2i00000000
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χ482-22-2222-2-2-2-22-2-2222220-2-2-2-2-222-220000000000-22−2i2i00002-22-20000000000000000−2i2i−2i2i-2200-220000-2-222002i−2i000000−2i2i00000000002i−2i00000000
χ492-22-22-12-2-21-221-2-12-12-10-211-21-1-112003−333−3−3002-22i−2i3−33−3-11-110003−333−3−30000000−ii2i−2i-11−i3i32-23−33−3-1-111002i−2i0000−i3i3−ii0000000000−ii−i3i3000000
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χ824-44-44-2-2-4-422-222-24-2-2102-1222-21-1-20023−232323−23−230000−4i4i00001-11-1000−33−3−33300000002i−2i2i−2i002i3−2i3000000000000000000−i3i3−ii00000000000000000000
χ834-44-44-2-2-4-422-222-24-2-2102-1222-21-1-200−2323−23−23232300004i−4i00001-11-10003−333−3−30000000−2i2i−2i2i002i3−2i3000000000000000000−i3i3i−i00000000000000000000
χ844-44-44-2-2-4-422-222-24-2-2102-1222-21-1-200−2323−23−2323230000−4i4i00001-11-10003−333−3−300000002i−2i2i−2i00−2i32i3000000000000000000i3−i3−ii00000000000000000000
χ854-44-4-24422-4-44-4-44-2-2-2402-4222-24-4-200000000004-4000000-22-22000000000000000000004-400-220000-2-22200000000000000000000000000000000
χ864-44-4-24422-4-44-4-44-2-2-2402-4222-24-4-20000000000-44000000-22-2200000000000000000000-44002-2000022-2-200000000000000000000000000000000
χ874-44-4-2-24222-442-4-2-21-2-2022-12-11-22-20023−23−3−333004-40023−2323−231-11-100023−23−3−33300000000000-2200-22−33−3311-1-100000000000000000000000000000000
χ884-44-4-2-24222-442-4-2-21-2-2022-12-11-22-20023−23−3−33300-4400−2323−23231-11-100023−23−3−333000000000002-2002-23−33−3-1-11100000000000000000000000000000000
χ894-44-4-2-24222-442-4-2-21-2-2022-12-11-22-200−232333−3−3004-400−2323−23231-11-1000−232333−3−300000000000-2200-223−33−311-1-100000000000000000000000000000000
χ904-44-4-2-24222-442-4-2-21-2-2022-12-11-22-200−232333−3−300-440023−2323−231-11-1000−232333−3−3000000000002-2002-2−33−33-1-11100000000000000000000000000000000
χ914-4-444444-4-4-4-444-4-44440-4-444-4-4-44-40000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-24-4-4224-2-4-44-2-20224-2-4-42-22000000000000000000-222-20000000000000023−2300000000000000000000000000000023−23000000000000000000
χ934-4-4444-24-4-4224-2-4-44-2-20224-2-4-42-22000000000000000000-222-200000000000000−2323000000000000000000000000000000−2323000000000000000000
χ944-4-444-244-42-4-4-242-4-24-20-42-24222-2-40000000000000023−23−2323-222-20000000000000000000000000023−23−2323000000000000000000000000000000000000
χ954-4-444-244-42-4-4-242-4-24-20-42-24222-2-400000000000000−232323−23-222-200000000000000000000000000−232323−23000000000000000000000000000000000000
χ964-4-44-244-22-4-4-444-42-2-2402-4-2-222-442−2i32i300−2i32i32i3−2i30000000000-222-20−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ974-4-44-244-22-4-4-444-42-2-2402-4-2-222-4422i3−2i3002i3−2i3−2i32i30000000000-222-202i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-2-22-4224-2-42-21-20-12-21222-2-1−2i32i300−2i32i32i3−2i300000000001-1-110i3−i300i3−i3−i3i30000023−23000000000000000000000000000000−333i−3i0000000000000000
χ994-4-44-24-2-22-4224-2-42-21-20-12-21222-2-1−2i32i300−2i32i32i3−2i300000000001-1-110i3−i300i3−i3−i3i300000−23230000000000000000000000000000003−3−3i3i0000000000000000
χ1004-4-44-24-2-22-4224-2-42-21-20-12-21222-2-12i3−2i3002i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i30000023−23000000000000000000000000000000−33−3i3i0000000000000000
χ1014-4-44-24-2-22-4224-2-42-21-20-12-21222-2-12i3−2i3002i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i300000−23230000000000000000000000000000003−33i−3i0000000000000000
χ1024-4-44-2-24-222-4-4-24221-2-20221-2-1-12-22−2i32i300i3−i3−i3i300000023−23−23231-1-110−2i32i300i3−i3−i3i300000000000000000−333−33i−3i−3i3i00000000000000000000000000000000
χ1034-4-44-2-24-222-4-4-24221-2-20221-2-1-12-22−2i32i300i3−i3−i3i3000000−232323−231-1-110−2i32i300i3−i3−i3i3000000000000000003−3−33−3i3i3i−3i00000000000000000000000000000000
χ1044-4-44-2-24-222-4-4-24221-2-20221-2-1-12-222i3−2i300−i3i3i3−i300000023−23−23231-1-1102i3−2i300−i3i3i3−i300000000000000000−333−3−3i3i3i−3i00000000000000000000000000000000
χ1054-4-44-2-24-222-4-4-24221-2-20221-2-1-12-222i3−2i300−i3i3i3−i3000000−232323−231-1-1102i3−2i300−i3i3i3−i3000000000000000003−3−333i−3i−3i3i00000000000000000000000000000000
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
χ10888-8-88-4-4-88-4-44444-8-4-420-4244-44-2-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-44-48-44-84-84-42-402-44-2-4444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-4-4-444444222022-2-22-2-2-2-200006i−6i6i−6i0000000000-1-11100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-44-4-4-444444222022-2-22-2-2-2-20000−6i6i−6i6i0000000000-1-111000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-444-84-4-848-4-42-40-244-24-4-4420000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44444-444-4-42220-2-2-2-2-222-220043−43−23−2323230000000000-11-11000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-44444-444-4-42220-2-2-2-2-222-2200−43432323−23−230000000000-11-1100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-48-8444-4-44-8-4-4204-2-4-444-2240000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-44444-4-4442220-2-222-2-2-22-2−4i34i3002i3−2i3−2i32i30000000000-111-102i3−2i300−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-44444-4-4442220-2-222-2-2-22-24i3−4i300−2i32i32i3−2i30000000000-111-10−2i32i300i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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