Finite Group Databasebeta

← Group #13168734

Character table — Group #13168734

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444412121212366612121212121212121244466661212121212121212121212121212121212122244661212121212121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-11111111111-1-111-1-1-1111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-11-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11111-11
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1111-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1111111-1-1-1-1111111-1-11-1-1-111-1-1-1-11-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-11-1111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-1-1-111-1-11-1-11-1-11111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-111-1-111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1111-1-1111-1-11-1-11111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11-1111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111-1111-1-111-1-11-111-1-11111-11-1-1
χ17222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-122-1-1-1-12200-1-1-1-1-1-1-1-12200-1-10002-1-100002000-1-1-1-100000000
χ18222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-122-2-2-2-21111-1-1-1-12-1-122-1-1-1-120022-1-1-2-211-1-1-2-20011111111-2-200-1-10002-1-10000-2000111100000000
χ19222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-200-2-21122-1-1112200-1-1-1-1-1-1-1-1-2-20011000-2110000-2000111100000000
χ20222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-211-2-21111-2-20011111111220011000-21100002000-1-1-1-100000000
χ21222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-211112222-2-21111-1-1-1-1-211-2-21111-20022-1-122-1-111-2-200-1-1-1-111112200-1-1000-2110000-2000-1-11100000000
χ22222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-2111122-2-222-1-1-1-1-1-1-1-1-211-2-21111-20022-1-1-2-2111122001111-1-1-1-1-2-200-1-1000-2110000200011-1-100000000
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χ24222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-21111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200-2-211-2-211-1-122001111-1-1-1-12200110002-1-10000-2000-1-11100000000
χ2522222-12-1222-1222-1-12-12-1-12-1-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-12200002200-1-1000000000022-1-1-122-1-1-1-1-1-1-102000000-1-10000-10
χ2622222-12-1222-1222-1-12-12-1-12-1-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-1-12200002200110000000000-2-2-1-11-2-2-1-1-111110-200000011000010
χ2722222-12-1222-1222-1-12-12-1-12-1-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22211-2-20000-2-200-1-10000000000-2-211-122111-1-1-1-10-200000011000010
χ2822222-12-1222-1222-1-12-12-1-12-1-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-20000-2-20011000000000022111-2-2111111102000000-1-10000-10
χ2922222-12-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-2-1-1220000-2-200-1-1000000000022-1-11-22111-1-1110-2000000-1-1000010
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χ332222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-10220000-1-12200-1-122-1-1-1-1-1-1-1-10000002-1-1000-1-1-1-1002200000000-1-100
χ342222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-10-2-20000-1-12200-1-1-2-2-1-1-1-1-1-1-1-1000000-211000111100-2-2000000001100
χ352222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1022000011-2-2001122111111110000002-1-1000-1-1-1-100-2-2000000001100
χ362222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2000011-2-20011-2-211111111000000-2110001111002200000000-1-100
χ372222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-2-2-211111102-20000-1-122001122-1-1-1-11111000000-21-1000-1-111002-2000000001-100
χ382222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-21111110022-2-2-2-2-2-2-1-1-1-1-2-2-21111110-220000-1-1220011-2-2-1-1-1-111110000002-1100011-1-100-2200000000-1100
χ392222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-211111100-2-2222222-1-1-1-1-2-2-211111102-2000011-2-200-1-1221111-1-1-1-1000000-21-1000-1-11100-2200000000-1100
χ402222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-211111100-2-2222222-1-1-1-1-2-2-21111110-22000011-2-200-1-1-2-21111-1-1-1-10000002-1100011-1-1002-2000000001-100
χ4122-2-22222-222-2-2-2-2-2222022-2-2-22-2-2-2000000002-22-200000022-2-20000000000002-22-22-22-200000022-2-200002-2002-2000000000000002-20000000000
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χ4822-2-222-1212-1-2-2-21-22-1-102-111-2-111-23−30033−3−3-22-2200−3−333-1-11103−30033−3−3000-221-1-221-1−33000011-1-1−3−3332-2001-10000−3300000000-113−300000000
χ4922-2-222-1212-1-2-2-21-22-1-102-111-2-111-2−3300−3−3332-22-200−3−333-1-1110−3300−3−3330002-2-112-2-11−330000-1-111−3−3332-200-110000−3300000000-11−3300000000
χ5022-2-222-1212-1-2-2-21-22-1-102-111-2-111-2−3300−3−3332-2-220033−3−3-1-1110−3300−3−3330002-2-11-221-1−33000011-1-133−3−3-2200-110000−33000000001-13−300000000
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χ874-44-4-244-4-42-4-42-244-2-2402-42-4-22-24200−2323−2323−23230000000000-22-22000−2323−2323−2323000000000000000000000000000000000000000000000000000000000
χ884-44-4-24-2-4222-42-2-24-21-2022-12-2-11-220023−23−33−33000000−2i32i32i3−2i31-11-100023−23−33−33000000000000000003i−3i3i−3ii3−i3−i3i300000000000000000000000000000000
χ894-44-4-24-2-4222-42-2-24-21-2022-12-2-11-220023−23−33−330000002i3−2i3−2i32i31-11-100023−23−33−3300000000000000000−3i3i−3i3i−i3i3i3−i300000000000000000000000000000000
χ904-44-4-24-2-4222-42-2-24-21-2022-12-2-11-2200−23233−33−3000000−2i32i32i3−2i31-11-1000−23233−33−300000000000000000−3i3i−3i3ii3−i3−i3i300000000000000000000000000000000
χ914-44-4-24-2-4222-42-2-24-21-2022-12-2-11-2200−23233−33−30000002i3−2i3−2i32i31-11-1000−23233−33−3000000000000000003i−3i3i−3i−i3i3i3−i300000000000000000000000000000000
χ924-44-4-2-242-42-422-24-21-2-20-122212-2-2-10023−2323−2323−2300000000001-11-1000−33−33−33000000000000000−2i32i300000000000000000000i3−i33i−3i0000000000000000
χ934-44-4-2-242-42-422-24-21-2-20-122212-2-2-10023−2323−2323−2300000000001-11-1000−33−33−330000000000000002i3−2i300000000000000000000−i3i3−3i3i0000000000000000
χ944-44-4-2-242-42-422-24-21-2-20-122212-2-2-100−2323−2323−232300000000001-11-10003−33−33−3000000000000000−2i32i300000000000000000000i3−i3−3i3i0000000000000000
χ954-44-4-2-242-42-422-24-21-2-20-122212-2-2-100−2323−2323−232300000000001-11-10003−33−33−30000000000000002i3−2i300000000000000000000−i3i33i−3i0000000000000000
χ964-4-4444-2-4-2-4244-42-44-2-20-42-2-2-422240000000000004i−4i−2i2i−2i2i-222-200000000000000000000004i−4i000000−2i2i−2i2i00000000000000000000000000000000
χ974-4-4444-2-4-2-4244-42-44-2-20-42-2-2-42224000000000000−4i4i2i−2i2i−2i-222-20000000000000000000000−4i4i0000002i−2i2i−2i00000000000000000000000000000000
χ984-4-444-2424-4-4-24-4-42-24-20224-22-4-42-2000000000000000000-222-20000000000000000000000000000000000004i−4i00000000000000000000−2i2i000000
χ994-4-444-2424-4-4-24-4-42-24-20224-22-4-42-2000000000000000000-222-2000000000000000000000000000000000000−4i4i000000000000000000002i−2i000000
χ1004-4-44-244-442-44-22-4-4-2-2402-4-24222-4-20000000000004i−4i4i−4i4i−4i-222-20000000000000000000000−2i2i000000−2i2i−2i2i00000000000000000000000000000000
χ1014-4-44-244-442-44-22-4-4-2-2402-4-24222-4-2000000000000−4i4i−4i4i−4i4i-222-200000000000000000000002i−2i0000002i−2i2i−2i00000000000000000000000000000000
χ1024-4-44-24-2-4-2224-222-4-21-20221-22-1-12-200003-3-3300004i−4i−2i2i−2i2i1-1-11000003-3-330000000000000−2i2i003i−3i−3i3ii−ii−i00000000000000000000000000000000
χ1034-4-44-24-2-4-2224-222-4-21-20221-22-1-12-200003-3-330000−4i4i2i−2i2i−2i1-1-11000003-3-3300000000000002i−2i00−3i3i3i−3i−ii−ii00000000000000000000000000000000
χ1044-4-44-24-2-4-2224-222-4-21-20221-22-1-12-20000-333-300004i−4i−2i2i−2i2i1-1-1100000-333-30000000000000−2i2i00−3i3i3i−3ii−ii−i00000000000000000000000000000000
χ1054-4-44-24-2-4-2224-222-4-21-20221-22-1-12-20000-333-30000−4i4i2i−2i2i−2i1-1-1100000-333-300000000000002i−2i003i−3i−3i3i−ii−ii00000000000000000000000000000000
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
χ10888-8-8-4-48-4-8-48444-842-4-402-444-2-444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-44-4-444444222022-2-2-22-2-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-44-4-444444222022-2-2-22-2-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-444-844-88-4-4-4-4204-24-2-44-4240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4444444-4-4-42220-2-2-2-22-222-20043−43−2323−23230000000000-11-11000−23233−33−3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444444-4-4-42220-2-2-2-22-222-200−434323−2323−230000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-44-4-84-48-844-4-4204-2-42444-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48484-8-4-44-842-4-40-24-4-4-244420000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44-444-4-44442220-2-222-2-2-2-2200006-6-660000000000-111-100000-333-3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44-444-4-44442220-2-222-2-2-2-220000-666-60000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000

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