Finite Group Databasebeta

← Group #13168066

Character table — Group #13168066

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212224444666636661212121212121212122246666666666121212121212121212121212224466666612121212121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-11-111-1-1-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111-1111111-1-1111111-1-111-1-11111-1-1-1-1-11-1-11111-1-1111-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-111-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-111-11-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-111-1-1-1-1-1-111-11-1-111-1-111-1-111-1-1-1-1111111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-111-1-111-1-11-111-1-111111-1-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111111111111111-11-1-111-1-111-1-1-1-11-111-1-111-1-11-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1111-1-1-1-111-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111-111-1-111-1-11111-1-1-1-11111-1-1-11-11
χ17222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-12002200-1-1-1-1-1-1-1-1-1-12222-1-1-1-1220020-1-10000-1-1000200-1-1-1-100000000
χ18222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-12222-2-2-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-200220011-1-1-1-1-1-11122-2-2-1-1-1-1-2-200-2011000011000-200111100000000
χ19222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2221111-1-1-1-1222-1-1-1-1-1-1200-2-200-1-1111111-1-1-2-2221111-2-20020-1-10000-1-1000-200111100000000
χ20222222-1-1222-12-1222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-2001111111111-2-2-2-211112200-2011000011000200-1-1-1-100000000
χ21222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-2111122-2-222-1-1-1-1-1-1-1-1-2-2-2111111-200220011-1-1-1-111-1-1-2-2221111-2-200-20110000-1-100020011-1-100000000
χ22222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-21111112002200-1-1-1-1-1-11111-2-2-2-21111220020-1-1000011000-200-1-11100000000
χ23222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-21111-2-222221111-1-1-1-1-2-2-2111111-200-2-200111111-1-1-1-12222-1-1-1-12200-20110000-1-1000-200-1-11100000000
χ24222222-1-1222-12-1222-1-1-22-1-1-12-12-1-111-2-21111-2-222-2-21111-1-1-1-1-2-2-2111111200-2-200-1-11111-1-11122-2-2-1-1-1-1-2-20020-1-100001100020011-1-100000000
χ2522222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-1022-1-12200-1-1-1-12200-1-100-1-1-1-100000-100-1-12-100-1-1202000000000-1-100
χ2622222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12222002222-1-1-1-12-1-122-1-1-1-10-2-2-1-1-2-200-1-1-1-12200-1-100-1-1-1-10000010011-210011-20-20000000001100
χ2722222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-10221122001111-2-2001100111100000-100-1-12-100-1-1-20-20000000001100
χ2822222-12222-12-12-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-211-2-2001111-2-200110011110000010011-210011202000000000-1-100
χ2922222-12222-12-12-12-12-1-2-12-1-1-12-12-1-2-211111122-2-2002222-1-1-1-1-211-2-2111102-2-1-12200-1-1-1-1-2-2001100111100000-100-1-1-21001120-20000000001-100
χ3022222-12222-12-12-12-12-1-2-12-1-1-12-12-1-2-211111122-2-2002222-1-1-1-1-211-2-211110-22-1-1-2-200-1-1-1-1-2-2001100111100000100112-100-1-1-202000000000-1100
χ3122222-12222-12-12-12-12-1-2-12-1-1-12-12-1-2-2111111-2-22200-2-2-2-2-1-1-1-1-211-2-2111102-211220011112200-1-100-1-1-1-100000-100-1-1-210011-202000000000-1100
χ3222222-12222-12-12-12-12-1-2-12-1-1-12-12-1-2-2111111-2-22200-2-2-2-2-1-1-1-1-211-2-211110-2211-2-20011112200-1-100-1-1-1-100000100112-100-1-120-20000000001-100
χ332222-1222-1-122222-1-1-122-1-122-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-1220000002200-1-100000022-12-1-1-1-1-12-1-1-1-100020000-1-10000-10
χ342222-1222-1-122222-1-1-122-1-122-1-1-1-12222222220000220000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-20011220000002200-1-1000000-2-2-1-2-1-1111-2-1-111000-2000011000010
χ352222-1222-1-122222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-22200-1-1-2-2000000-2-20011000000-2-21211-1-1-1211-1-1000-2000011000010
χ362222-1222-1-122222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-2000000-2-20011000000221-211111-2111100020000-1-10000-10
χ372222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-22-200-1-1-2-20000002200-1-1000000221211-1-11-2-1-111000-20000-1-1000010
χ382222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-220011-2-20000002200-1-1000000-2-21-21111-12-1-1-1-100020000110000-10
χ392222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-200-1-122000000-2-20011000000-2-2-12-1-1-1-11-2111100020000110000-10
χ402222-1222-1-122222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-11111111112-22001122000000-2-2001100000022-1-2-1-111-1211-1-1000-20000-1-1000010
χ4122-2-2222-22-2-22-2-22-22220-2-2-2-222-2-22000000002-2000022-2-22-2-220000000000002-2000022-2-2000000000000002i−2i000000000000000000002i−2i2i−2i0000
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χ4322-2-2222-22-2-22-2-22-22220-2-2-2-222-2-2200000000-220000-2-2222-2-22000000000000-220000-2-222000000000000002i−2i000000000000000000002i−2i−2i2i0000
χ4422-2-2222-22-2-22-2-22-22220-2-2-2-222-2-2200000000-220000-2-2222-2-22000000000000-220000-2-22200000000000000−2i2i00000000000000000000−2i2i2i−2i0000
χ452-2-222222-222-2-2-2-2-22220-222-2-2-22-2-200000000002i−2i2i−2i000022-2-200000000000000000000002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-200000000002i−2i0000002-20000000000
χ462-2-222222-222-2-2-2-2-22220-222-2-2-22-2-200000000002i−2i−2i2i000022-2-200000000000000000000002i−2i−2i2i2i−2i−2i2i2i2i−2i−2i-220000000000−2i2i000000-220000000000
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χ482-2-222222-222-2-2-2-2-22220-222-2-2-22-2-20000000000−2i2i−2i2i000022-2-20000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i2-20000000000−2i2i0000002-20000000000
χ492-2-2222-1-1-2221-21-2-22-1-10-2-1-11-212113−30033−3−3002i−2i2i−2i−i3i3−i3i3-1-1110003−333−3−30000000−i3i3−i3i3−i3i3−ii−ii2i−2i2i−2i−i−iii2-20000−i3i30000−ii000000-113−300000000
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χ552-2-2222-1-1-2221-21-2-22-1-10-2-1-11-21211−3300−3−33300−2i2i2i−2i−i3i3−i3i3-1-111000−33−3−3330000000i3−i3−i3i3−i3i3i−i−ii−2i2i2i−2iii−i−i-220000i3−i30000−ii0000001-13−300000000
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χ864-44-44-2-22-4-422-2-224-2-210-22-11222-2-100−23233−3−33000000−2i32i32i3−2i31-11-10−2323003−3−33000000000i3−i3−i3i3000000003i−3i−3i3i00000000000000000000000000000000
χ874-44-44-2-22-4-422-2-224-2-210-22-11222-2-100−23233−3−330000002i3−2i3−2i32i31-11-10−2323003−3−33000000000−i3i3i3−i300000000−3i3i3i−3i00000000000000000000000000000000
χ884-44-4-244-422-4-444-4-2-2-240-22-44222-2-4000000000000000000-22-2200000000000000−2i32i300000000000000000000000000−2i32i30000000000000000000000
χ894-44-4-244-422-4-444-4-2-2-240-22-44222-2-4000000000000000000-22-22000000000000002i3−2i3000000000000000000000000002i3−2i30000000000000000000000
χ904-44-4-2-24-4222-4-242-21-2-20122-2-12-1-220023−2323−23−232300000000001-11-10−3300−333−300000−2i32i300000000000000000000000000i3−i300003i−3i0000000000000000
χ914-44-4-2-24-4222-4-242-21-2-20122-2-12-1-220023−2323−23−232300000000001-11-10−3300−333−3000002i3−2i300000000000000000000000000−i3i30000−3i3i0000000000000000
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χ934-44-4-2-24-4222-4-242-21-2-20122-2-12-1-2200−2323−232323−2300000000001-11-103−3003−3−33000002i3−2i300000000000000000000000000−i3i300003i−3i0000000000000000
χ944-4-444-244-44-2-42-42-4-24-2024-222-4-2-4200000000004i−4i000000-2-22200000000000000000000004i−4i00−2i2i00−2i−2i2i2i00000000000000000000000000000000
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χ964-4-444-2-2-2-44-22222-4-2-2102-21-122-22-123−2300−3−333004i−4i00−2i32i3−2i32i311-1-100023−23−3−333000000000i3−i3i3−i3−2i2i00−2i2i00ii−i−i00000000000000000000000000000000
χ974-4-444-2-2-2-44-22222-4-2-2102-21-122-22-123−2300−3−33300−4i4i002i3−2i32i3−2i311-1-100023−23−3−333000000000−i3i3−i3i32i−2i002i−2i00−i−iii00000000000000000000000000000000
χ984-4-444-2-2-2-44-22222-4-2-2102-21-122-22-1−23230033−3−3004i−4i002i3−2i32i3−2i311-1-1000−232333−3−3000000000−i3i3−i3i3−2i2i00−2i2i00ii−i−i00000000000000000000000000000000
χ994-4-444-2-2-2-44-22222-4-2-2102-21-122-22-1−23230033−3−300−4i4i00−2i32i3−2i32i311-1-1000−232333−3−3000000000i3−i3i3−i32i−2i002i−2i00−i−iii00000000000000000000000000000000
χ1004-4-44-24442-24-4-4-4-42-2-2402-24-422-22-40000000000004i−4i0000-2-2220000000000000000000000004i−4i00−2i2i0000000000000000−2i2i000000000000000000
χ1014-4-44-24442-24-4-4-4-42-2-2402-24-422-22-4000000000000−4i4i0000-2-222000000000000000000000000−4i4i002i−2i00000000000000002i−2i000000000000000000
χ1024-4-44-24-2-22-242-42-42-21-2021-222-1-2-1223−23002323−23−2300004i−4i000011-1-1000−33−3−3330000000−2i32i3000000−2i2i00−2i2i0000000000i3−i30000i−i000000000000000000
χ1034-4-44-24-2-22-242-42-42-21-2021-222-1-2-1223−23002323−23−230000−4i4i000011-1-1000−33−3−33300000002i3−2i30000002i−2i002i−2i0000000000−i3i30000−ii000000000000000000
χ1044-4-44-24-2-22-242-42-42-21-2021-222-1-2-12−232300−23−23232300004i−4i000011-1-10003−333−3−300000002i3−2i3000000−2i2i00−2i2i0000000000−i3i30000i−i000000000000000000
χ1054-4-44-24-2-22-242-42-42-21-2021-222-1-2-12−232300−23−2323230000−4i4i000011-1-10003−333−3−30000000−2i32i30000002i−2i002i−2i0000000000i3−i30000−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
χ10888-8-8-48-44-44-8-4-8484-42-404-244-424-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-48-8-44484-8-442-4-40-24442-4-24-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-444-444-442220-2-2-2-222-2-2200006-66-60000000000-111-100000-33-33000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-44-444-444-442220-2-2-2-222-2-220000-66-660000000000-111-1000003-33-3000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-4444-848-4-8-4-42-40-4-24-44-24240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444444-4-44-422202-2-22-2-2-22-20043−43−232323−230000000000-11-110−2323003−3−33000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444444-4-44-422202-2-22-2-2-22-200−434323−23−23230000000000-11-11023−2300−333−3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4884-4-4-84-8442-4-40-2-4-44-2424400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-44-4-4444442220-222-2-2-22-2-243−4300−23−2323230000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-44-4-4444442220-222-2-2-22-2-2−4343002323−23−230000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000

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