Finite Group Databasebeta

← Group #13169295

Character table — Group #13169295

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212122446612121212121212121212121212121212121212124444666121212121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111111111111111-1-1111-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-111-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-1-1-111-1-1-1-11-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-11111-1-1-111111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-111-1-1-111-1-111-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-11111-1-1-1-11111-1-1-11-1-111-1-1111-1-1-1-1-11111-1-11-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-1-11-1111-1-111-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-1111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-11111-1-1-1-1-1-11-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-11-1-111-1-111-11-1111-1-11111-11-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111-111-1-111-1-11-1-1-1-1-11111111-1-1-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-111-111-1-1-111-1-1-1-1-1111
χ17222222-12-122-122-12-1-122-12-12-1-1-12-1-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1022002222-1-10000-1-1-1-1-1-1-1-1-1-10000000-12-100-1-1-1-1220000000000-1-100
χ18222222-12-122-122-12-1-122-12-12-1-1-12-1-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10-2-200-2-222-1-10000-1-1-1-1-1-1-1-1-1-100000001-21001111-2-200000000001100
χ19222222-12-122-122-12-1-122-12-12-1-1-12-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10220022-2-211000011111111110000000-12-100-1-1-1-1-2-200000000001100
χ20222222-12-122-122-12-1-122-12-12-1-1-12-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-200-2-2-2-2110000111111111100000001-21001111220000000000-1-100
χ21222222-12-122-122-12-1-12-2-12-12-1-1-12-111-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-211111102-200-2-222-1-1000011-1-1-1-11111000000012-100-1-111-2200000000001-100
χ22222222-12-122-122-12-1-12-2-12-12-1-1-12-111-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-21111110-22002222-1-1000011-1-1-1-111110000000-1-210011-1-12-20000000000-1100
χ23222222-12-122-122-12-1-12-2-12-12-1-1-12-111-2-21111-2-200222222-1-1-1-1-2-2-211111102-200-2-2-2-2110000-1-11111-1-1-1-1000000012-100-1-1112-20000000000-1100
χ24222222-12-122-122-12-1-12-2-12-12-1-1-12-111-2-21111-2-200222222-1-1-1-1-2-2-21111110-220022-2-2110000-1-11111-1-1-1-10000000-1-210011-1-1-2200000000001-100
χ2522222-12222-12-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1200-1-100-1-12222-1-122-1-1-1-1-1-1-1-122002-1-1000-1-100000002-1-1-1-100000000
χ2622222-12222-12-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-2001100-1-122-2-21122-1-1-1-1-1-1-1-1-2-200-211000110000000-2111100000000
χ2722222-12222-12-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1200-1-10011-2-222-1-1-2-211111111-2-2002-1-1000-1-10000000-2111100000000
χ2822222-12222-12-1-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200110011-2-2-2-211-2-2111111112200-2110001100000002-1-1-1-100000000
χ2922222-12222-12-1-1222-1-1-22-1-1-12-1-1-12-2-21111112222-2-21111-1-1-1-1-211-2-21111-2001100-1-12222-1-1-2-2-1-1-1-111112200-211000-1-10000000-211-1-100000000
χ3022222-12222-12-1-1222-1-1-22-1-1-12-1-1-12-2-211111122-2-2-2-21111-1-1-1-1-211-2-21111200-1-100-1-122-2-211-2-2-1-1-1-11111-2-2002-1-10001100000002-1-11100000000
χ3122222-12222-12-1-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-22222-1-1-1-1-1-1-1-1-211-2-21111-200110011-2-222-1-1221111-1-1-1-1-2-200-211000-1-100000002-1-11100000000
χ3222222-12222-12-1-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200-1-10011-2-2-2-211221111-1-1-1-122002-1-1000110000000-211-1-100000000
χ332222-122-12-122222-1-12-12-1-12-1-122-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-10000-1-12200000000000022-1-1-12-12-1-1-1-1-1-100200000-1-10000-10
χ342222-122-12-122222-1-12-12-1-12-1-122-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-222110000-1-122000000000000-2-2-1-1-1-21-2-1-1111100-20000011000010
χ352222-122-12-122222-1-12-12-1-12-1-122-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-222-2-2-1-1000011-2-2000000000000-2-21112-1211-1-1-1-100-20000011000010
χ362222-122-12-122222-1-12-12-1-12-1-122-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211000011-2-200000000000022111-21-211111100200000-1-10000-10
χ372222-122-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-2-2-2110000-1-122000000000000-2-2111-2-12-1-1-1-11100200000110000-10
χ382222-122-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-22-2-2-1-10000-1-1220000000000002211121-2-1-111-1-100-200000-1-1000010
χ392222-122-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-22211000011-2-200000000000022-1-1-1-2-1211-1-11100-200000-1-1000010
χ402222-122-12-122222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-2222-1-1000011-2-2000000000000-2-2-1-1-121-21111-1-100200000110000-10
χ412-22-2222-2-2-2-2-2-2222222022-2-2-22-2-2-2000000002i−2i2i−2i00000022-2-200000000000000002i−2i2i−2i2i−2i2i−2i002i2i−2i−2i00002-2000000002i−2i00000000002-200000000
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χ432-22-2222-2-2-2-2-2-2222222022-2-2-22-2-2-200000000−2i2i2i−2i00000022-2-20000000000000000−2i2i−2i2i2i−2i2i−2i00−2i−2i2i2i0000-22000000002i−2i0000000000-2200000000
χ442-22-2222-2-2-2-2-2-2222222022-2-2-22-2-2-200000000−2i2i−2i2i00000022-2-20000000000000000−2i2i−2i2i−2i2i−2i2i00−2i−2i2i2i00002-200000000−2i2i00000000002-200000000
χ452-22-22-12-2-2-21-21-1222-1-102-111-2-111-2003−333−3−32i−2i2i−2i00−i3−i3i3i3-1-11103−30033−3−3000−i3i300−ii2i−2i2i−2i−ii00−i−iii−i3−i3i3i32-2000−i3i3000−ii000000003−3-1100000000
χ462-22-22-12-2-2-21-21-1222-1-102-111-2-111-2003−333−3−32i−2i−2i2i00−i3−i3i3i3-1-11103−30033−3−3000i3−i300−ii2i−2i−2i2ii−i00−i−iii−i3−i3i3i3-22000i3−i3000i−i00000000−331-100000000
χ472-22-22-12-2-2-21-21-1222-1-102-111-2-111-2003−333−3−3−2i2i2i−2i00i3i3−i3−i3-1-11103−30033−3−3000−i3i300i−i−2i2i2i−2i−ii00ii−i−ii3i3−i3−i3-22000−i3i3000−ii00000000−331-100000000
χ482-22-22-12-2-2-21-21-1222-1-102-111-2-111-2003−333−3−3−2i2i−2i2i00i3i3−i3−i3-1-11103−30033−3−3000i3−i300i−i−2i2i−2i2ii−i00ii−i−ii3i3−i3−i32-2000i3−i3000i−i000000003−3-1100000000
χ492-22-22-12-2-2-21-21-1222-1-102-111-2-111-200−33−3−3332i−2i2i−2i00i3i3−i3−i3-1-1110−3300−3−333000i3−i300−ii2i−2i2i−2i−ii00−i−iiii3i3−i3−i32-2000i3−i3000−ii00000000−33-1100000000
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χ5844444-2-24-24-2-2-2-2-24-21-24-2-21-2-211-2-2-2-2-2-21111-4-400-4-4222211114-2-2-2-2111100000002222000022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ5944444-2-24-24-2-2-2-2-24-21-2-4-2-21-2-211-2-22222-1-1-1-14400-4-422221111-42222-1-1-1-10000000-2-2-2-20000221111-1-1-1-100000000000000000000000000000000
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χ8344-4-4-24-222-24-2-4-4221-2-20-122212-2-2-1−232300−2323−232300000000001-11-10003−33−33−300000−23230000000000000000000000000000003-33−30000000000000000
χ844-44-444-2-42-4-42-44-24-2-240-242-42-22-42000000004i−4i00000000-2-22200000000000000004i−4i−2i2i000000−2i−2i2i2i000000000000000000000000000000000000
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χ864-44-44-2-2-42-4222-2-24-21-20-2-2-1221-1220023−23−3−3334i−4i0000−2i3−2i32i32i311-1-1023−2300−3−3330000000−2i2i−2i2i000000ii−i−ii3i3−i3−i300000000000000000000000000000000
χ874-44-44-2-2-42-4222-2-24-21-20-2-2-1221-1220023−23−3−333−4i4i00002i32i3−2i3−2i311-1-1023−2300−3−33300000002i−2i2i−2i000000−i−iii−i3−i3i3i300000000000000000000000000000000
χ884-44-44-2-2-42-4222-2-24-21-20-2-2-1221-12200−232333−3−34i−4i00002i32i3−2i3−2i311-1-10−23230033−3−30000000−2i2i−2i2i000000ii−i−i−i3−i3i3i300000000000000000000000000000000
χ894-44-44-2-2-42-4222-2-24-21-20-2-2-1221-12200−232333−3−3−4i4i0000−2i3−2i32i32i311-1-10−23230033−3−300000002i−2i2i−2i000000−i−iiii3i3−i3−i300000000000000000000000000000000
χ904-44-4-2442-42-4-4-444-2-24-20-2-2-4224-42200000000004i−4i000000-2-22200000000000000000000−2i2i4i−4i00000000000000000000−2i2i00000000000000000000
χ914-44-4-2442-42-4-4-444-2-24-20-2-2-4224-4220000000000−4i4i000000-2-222000000000000000000002i−2i−4i4i000000000000000000002i−2i00000000000000000000
χ924-44-4-2-242-422-42-24-2-2-210-212-12-22-120023−232323−23−23004i−4i00000011-1-10−3300−3−333000−2i32i3000000−2i2i−2i2i000000000000000i3−i3000i−i00000000000000000000
χ934-44-4-2-242-422-42-24-2-2-210-212-12-22-120023−232323−23−2300−4i4i00000011-1-10−3300−3−3330002i3−2i30000002i−2i2i−2i000000000000000−i3i3000−ii00000000000000000000
χ944-44-4-2-242-422-42-24-2-2-210-212-12-22-1200−2323−23−232323004i−4i00000011-1-103−30033−3−30002i3−2i3000000−2i2i−2i2i000000000000000−i3i3000i−i00000000000000000000
χ954-44-4-2-242-422-42-24-2-2-210-212-12-22-1200−2323−23−23232300−4i4i00000011-1-103−30033−3−3000−2i32i30000002i−2i2i−2i000000000000000i3−i3000−ii00000000000000000000
χ964-4-4444-24-2-4-424-42-4-2-2402-4-24222-4-20000000000004i−4i4i−4i4i−4i-222-2000000000000000000000000−2i2i0000−2i2i−2i2i00000000000000000000000000000000
χ974-4-4444-24-2-4-424-42-4-2-2402-4-24222-4-2000000000000−4i4i−4i4i−4i4i-222-20000000000000000000000002i−2i00002i−2i2i−2i00000000000000000000000000000000
χ984-4-444-2444-42-4-22-4-44-2-20-42-2-2-422240000000000004i−4i−2i2i−2i2i-222-20000000000000000000000004i−4i0000−2i2i−2i2i00000000000000000000000000000000
χ994-4-444-2444-42-4-22-4-44-2-20-42-2-2-42224000000000000−4i4i2i−2i2i−2i-222-2000000000000000000000000−4i4i00002i−2i2i−2i00000000000000000000000000000000
χ1004-4-444-2-24-2-422-222-4-21-20221-22-1-12-200003-3-3300004i−4i−2i2i−2i2i1-1-11000003-3-33000000000000000−2i2i3i−3i−3i3ii−ii−i00000000000000000000000000000000
χ1014-4-444-2-24-2-422-222-4-21-20221-22-1-12-200003-3-330000−4i4i2i−2i2i−2i1-1-11000003-3-330000000000000002i−2i−3i3i3i−3i−ii−ii00000000000000000000000000000000
χ1024-4-444-2-24-2-422-222-4-21-20221-22-1-12-20000-333-300004i−4i−2i2i−2i2i1-1-1100000-333-3000000000000000−2i2i−3i3i3i−3ii−ii−i00000000000000000000000000000000
χ1034-4-444-2-24-2-422-222-4-21-20221-22-1-12-20000-333-30000−4i4i2i−2i2i−2i1-1-1100000-333-30000000000000002i−2i3i−3i−3i3i−ii−ii00000000000000000000000000000000
χ1044-4-44-244-242-4-44-4-42-24-20224-22-4-42-2000000000000000000-222-20000000000000000000000000000000000004i−4i00000000000000000000−2i2i000000
χ1054-4-44-244-242-4-44-4-42-24-20224-22-4-42-2000000000000000000-222-2000000000000000000000000000000000000−4i4i000000000000000000002i−2i000000
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
χ10888-8-8-4-484-8-4-4844-84-4-4204-24-2-44-4240000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-444-4-4-444442220-2-2-2-22-222-243−4300−2323−23230000000000-11-11000−23233−33−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-444-4-4-444442220-2-2-2-22-222-2−43430023−2323−230000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-4444-84-88-4-42-4-402-444-2-444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4444444-4-4-4222022-2-2-22-2-2-20043−43−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4444444-4-4-4222022-2-2-22-2-2-200−43432323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-4-4-44-848-8442-4-40-24-4-4-244420000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48-4844-8-44-84-4-4204-2-42444-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-4-4444-44442220-2-222-2-2-2-2200006-6-660000000000-111-100000-333-3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-4-4444-44442220-2-222-2-2-2-220000-666-60000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000

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