Finite Group Databasebeta

← Group #13168466

Character table — Group #13168466

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444466663666121212121212121212444666666121212121212121212121212121212124444121212121212121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1111111-1-11111111111111111-1-1-1-1-1111-1-111-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-1111-11-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-11-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-111-1-111-11-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-11-1-111-1-1-1-11-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-111-1-1-1111111-11-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111111-1-1-1-1111-1-1-111-1-111111-1-1-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-111-1-1-1-1-11111-1-11111-1-1-1-111-111-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-11111111111111-1-1-1-1-11111-1-11-1-1-111-1-111-1-11-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-111111-1-1-1-111-111-1-1-11111-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11-1-111111-1-1-1-111-11-1-111-1-1111-11-1
χ17222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1202-1-1-1-1-1-122-1-100002200-1-1-1-10000-12-1000-1-100-1-1202000000000-1-100
χ18222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-12222002222-1-1-1-1222-1-1-1-1-1-1-20-2-1-1-1-1-1-1-2-2-1-100002200-1-1-1-100001-21000110011-20-20000000001100
χ19222222-122-12-1-12222-1-122-1-1-12-12-1-1-1-122-1-1-1-1-2-2-2-200-2-2-2-2-1-1-1-1222-1-1-1-1-1-120211111122110000-2-20011110000-12-1000-1-100-1-1-20-20000000001100
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χ21222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-2111122-2-2002222-1-1-1-1-2-2-211111120-2-1-1-1-1-1-1-2-2110000-2-2001111000012-10001100-1-120-2000000000-1100
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χ23222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-21111-2-22200-2-2-2-2-1-1-1-1-2-2-211111120-2111111-2-2-1-100002200-1-1-1-1000012-10001100-1-1-2020000000001-100
χ24222222-122-12-1-12222-1-1-22-1-1-12-12-1-111-2-21111-2-22200-2-2-2-2-1-1-1-1-2-2-2111111-20211111122-1-100002200-1-1-1-10000-1-21000-1-1001120-2000000000-1100
χ2522222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-102022-1-1-1-1002222-1-1-1-1-1-1-1-1-1-122000002-1-100-1-1000200-1-1-1-100000000
χ2622222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-12-1-122-1-1-1-10-2022-1-1-1-10022-2-211-1-111-1-1-1-1-2-200000-2110011000-200111100000000
χ2722222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-2221111-1-1-1-12-1-122-1-1-1-1020-2-2111100-2-222-1-111-1-11111-2-2000002-1-100-1-1000-200111100000000
χ2822222-12-122222-1-12-12-12-12-1-1-12-12-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-10-20-2-2111100-2-2-2-211111111112200000-2110011000200-1-1-1-100000000
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χ352222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-22000000-1-10011-2-200-2-2000000-2-22-12111-1-111-1-1000-2000011000010
χ362222-1222-12-12222-1-1-122-1-122-1-1-1-12222222220000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000000110011-2-200-2-200000022-21-211111111100020000-1-10000-10
χ372222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-11111111112-2-20000001100-1-1-2-20022000000-2-2-2-1211111-1-1-1-100020000110000-10
χ382222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000220000-1-1-1-1111111111-2-22000000-1-100-1-1-2-200220000002221-2111-1-1-1-111000-20000-1-1000010
χ392222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-111111111122-20000001100112200-2-200000022-2-12-1-1-11111-1-1000-20000-1-1000010
χ402222-1222-12-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-20000-2-20000-1-1-1-1111111111-222000000-1-100112200-2-2000000-2-221-2-1-1-1-1-1111100020000110000-10
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χ864-44-4-244-42-42-444-4-2-2-2402-24-4-2222-4000000000000−4i4i0000-2-22200000000000000000000002i−2i0000−4i4i00000000000000002i−2i000000000000000000
χ874-44-4-2-2422-42-44-22-21-2-20-1-2-2212-1220023−232323−23−2300004i−4i000011-1-10−3300−3−3330000000000000−2i2i−2i32i300−2i2i000000000000i3−i300i−i000000000000000000
χ884-44-4-2-2422-42-44-22-21-2-20-1-2-2212-1220023−232323−23−230000−4i4i000011-1-10−3300−3−33300000000000002i−2i2i3−2i3002i−2i000000000000−i3i300−ii000000000000000000
χ894-44-4-2-2422-42-44-22-21-2-20-1-2-2212-12200−2323−23−23232300004i−4i000011-1-103−30033−3−30000000000000−2i2i2i3−2i300−2i2i000000000000−i3i300i−i000000000000000000
χ904-44-4-2-2422-42-44-22-21-2-20-1-2-2212-12200−2323−23−2323230000−4i4i000011-1-103−30033−3−300000000000002i−2i−2i32i3002i−2i000000000000i3−i300−ii000000000000000000
χ914-4-44444444-4-4-4-4-4-444404-4-44-44-4-4-40000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-244-2-422-4-4-44-2-20422-2-4-2-42223−230023−23−23230000000000-22-2200023−2323−23−2323000000000000000000000000000000000000000000000000000000000
χ934-4-4444-244-2-422-4-4-44-2-20422-2-4-2-422−232300−232323−230000000000-22-22000−2323−232323−23000000000000000000000000000000000000000000000000000000000
χ944-4-444-24-244-4-4-422-4-24-20-2-42-2242-4200000000000000−2i32i32i3−2i3-22-2200000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000
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χ964-4-444-2-2-24-2-42222-4-2-210-22-112-222-123−2300−333−3000000−2i32i32i3−2i31-11-100023−23−333−300000i3−i3−i3i3000000000000−3i3i3i−3i00000000000000000000000000000000
χ974-4-444-2-2-24-2-42222-4-2-210-22-112-222-123−2300−333−30000002i3−2i3−2i32i31-11-100023−23−333−300000−i3i3i3−i30000000000003i−3i−3i3i00000000000000000000000000000000
χ984-4-444-2-2-24-2-42222-4-2-210-22-112-222-1−2323003−3−33000000−2i32i32i3−2i31-11-1000−23233−3−3300000i3−i3−i3i30000000000003i−3i−3i3i00000000000000000000000000000000
χ994-4-444-2-2-24-2-42222-4-2-210-22-112-222-1−2323003−3−330000002i3−2i3−2i32i31-11-1000−23233−3−3300000−i3i3i3−i3000000000000−3i3i3i−3i00000000000000000000000000000000
χ1004-4-44-2444-242-4-4-4-42-2-240-22-442-222-4000000000000000000-22-22000000000000000000−2i32i3000000000000000000000000−2i32i300000000000000000000
χ1014-4-44-2444-242-4-4-4-42-2-240-22-442-222-4000000000000000000-22-220000000000000000002i3−2i30000000000000000000000002i3−2i300000000000000000000
χ1024-4-44-24-24-2-2222-4-42-21-20-2-12-2212-1223−230023−23−232300000000001-11-1000−33−333−3000000000−2i32i3000000000000000000000000i3−i3003i−3i0000000000000000
χ1034-4-44-24-24-2-2222-4-42-21-20-2-12-2212-1223−230023−23−232300000000001-11-1000−33−333−30000000002i3−2i3000000000000000000000000−i3i300−3i3i0000000000000000
χ1044-4-44-24-24-2-2222-4-42-21-20-2-12-2212-12−232300−232323−2300000000001-11-10003−33−3−33000000000−2i32i3000000000000000000000000i3−i300−3i3i0000000000000000
χ1054-4-44-24-24-2-2222-4-42-21-20-2-12-2212-12−232300−232323−2300000000001-11-10003−33−3−330000000002i3−2i3000000000000000000000000−i3i3003i−3i0000000000000000
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
χ1128-88-8-48-4-84444-48-8-4-42-4042-44-4-24-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444444-4-44-42220-222-22-2-2-2-20043−43−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444444-4-44-42220-222-22-2-2-2-200−43432323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48-4-484-8-84442-4-40244-4-2-4-2440000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-4-4-444444422202-2-22-22-2-2-243−4300−232323−230000000000-11-11000−23233−3−33000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-4-4-444444422202-2-22-22-2-2-2−43430023−23−23230000000000-11-1100023−23−333−3000000000000000000000000000000000000000000000000000000000

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