Finite Group Databasebeta

← Group #13169451

Character table — Group #13169451

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212124441212121212121212121212121212121212121212121244441212121212121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-11111111111-1-1111-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111-1111111-1-1-1-1-1-1111111111111-1-1-1-1-11111111-1-1-1-11-11-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1111-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11111111-1-1-1-1-11-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-11-1111-1-111-1-1-1-111-1-111-1-11111-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111111111-1-1-1-11111-1-11-1-1-11111-1-11-1-1-11111-1-1-1-1-1-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1111-1-1-1-111-111-111-1-111-1-11-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-11-1-1-1-11111-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-111-1-111-11-1-1-1-111-1-1-1111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-111-111-1-111111-1-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1111-1-1-1-1111-1-1-11111-1-111-1-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-11-1-1-111-1-111-1-111-1-111-1-1-1-111-11
χ17222222-1222-1-12-1222-1-12-1-12-122-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222000022-1-122-1-100000000002200-1-122-1-1-1-1-1-1-1-10002-1-10000000-100
χ18222222-1222-1-12-1222-1-12-1-12-122-1-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2000022-1-122110000000000-2-200-11-2-21111-1-1-1-1000-2110000000100
χ19222222-1222-1-12-1222-1-12-1-12-122-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2220000-2-211-2-2-1-10000000000-2-2001-122-1-1-1-11111000-2110000000100
χ20222222-1222-1-12-1222-1-12-1-12-122-1-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000-2-211-2-2110000000000220011-2-2111111110002-1-10000000-100
χ21222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-2000022-1-1-2-2110000000000-2-2001-1-22-1-111-1-1110002110000000-100
χ22222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-22000022-1-1-2-2-1-100000000002200112-211-1-1-1-111000-2-1-10000000100
χ23222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-20000-2-211221100000000002200-1-1-22-1-11111-1-1000-2-1-10000000100
χ24222222-1222-1-12-1222-1-1-2-1-12-122-1-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220000-2-21122-1-10000000000-2-200-112-211-1-111-1-10002110000000-100
χ2522222-122-1222-12-12-12-122-1-12-1-1-1-12-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-1022-1-12200000022-1-1-1-1-1-1-1-1-1-1000002-1-1-1-1-1-10000202000000000-10-10
χ2622222-122-1222-12-12-12-122-1-12-1-1-1-12-1-122-1-1-1-12200222222-1-1-1-1222-1-1-1-1-1-10-2-2-1-122000000-2-2-1-1-1-1-1-1-1-1-1-100000-21111110000-20-20000000001010
χ2722222-122-1222-12-12-12-122-1-12-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-102211-2-2000000221111111111000002-1-1-1-1-1-10000-20-20000000001010
χ2822222-122-1222-12-12-12-122-1-12-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-211-2-2000000-2-2111111111100000-21111110000202000000000-10-10
χ2922222-122-1222-12-12-12-1-22-1-12-1-1-1-1211-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-211111102-21122000000-2-2-1-1-1-1-1-111110000021-1-1-1110000-202000000000-1010
χ3022222-122-1222-12-12-12-1-22-1-12-1-1-1-1211-2-211112200-2-2-2-2-2-2-1-1-1-1-2-2-21111110-22112200000022-1-1-1-1-1-1111100000-2-1111-1-1000020-200000000010-10
χ3122222-122-1222-12-12-12-1-22-1-12-1-1-1-1211-2-21111-2-200222222-1-1-1-1-2-2-211111102-2-1-1-2-2000000-2-2111111-1-1-1-10000021-1-1-111000020-200000000010-10
χ3222222-122-1222-12-12-12-1-22-1-12-1-1-1-1211-2-21111-2-200222222-1-1-1-1-2-2-21111110-22-1-1-2-200000022111111-1-1-1-100000-2-1111-1-10000-202000000000-1010
χ332222-122-12-122222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120022-1-1-1-122-1-10022-1-1-1-1-1-1-1-1002220000000-1-1-1-1020000-1-1-1-1000000
χ342222-122-12-122222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20022-1-111-2-2110022-1-1-1-1-1-1-1-100-2-2-2000000011110-200001111000000
χ352222-122-12-122222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-2-222-2-21111-1-1-1-12-1-122-1-1-1-1200-2-211-1-122-1-100-2-21111111100-2-220000000-1-1-1-10-200001111000000
χ362222-122-12-122222-1-1-122-12-1-1-1-122-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-200-2-21111-2-21100-2-2111111110022-200000001111020000-1-1-1-1000000
χ372222-122-12-122222-1-1-12-2-12-1-1-1-122-1-2-21111112222-2-21111-1-1-1-1-211-2-21111-200-2-2-1-1-1-122110022-1-1-1-111110022-20000000-1-1110-20000-1-111000000
χ382222-122-12-122222-1-1-12-2-12-1-1-1-122-1-2-211111122-2-2-2-21111-1-1-1-1-211-2-21111200-2-2-1-111-2-2-1-10022-1-1-1-1111100-2-22000000011-1-102000011-1-1000000
χ392222-122-12-122222-1-1-12-2-12-1-1-1-122-1-2-2111111-2-22222-1-1-1-1-1-1-1-1-211-2-21111-2002211-1-1221100-2-21111-1-1-1-100-2-2-20000000-1-11102000011-1-1000000
χ402222-122-12-122222-1-1-12-2-12-1-1-1-122-1-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-211-2-21111200221111-2-2-1-100-2-21111-1-1-1-100222000000011-1-10-20000-1-111000000
χ412-22-222222-22-2-2-2-2-2222022-2-22-2-2-2-20000000000002-222-2-222-2-20000000000002-2000000000000000022-2-22-20000000000000000002-200002-20000
χ422-22-222222-22-2-2-2-2-2222022-2-22-2-2-2-20000000000002-222-2-222-2-20000000000002-2000000000000000022-2-2-22000000000000000000-220000-220000
χ432-22-222222-22-2-2-2-2-2222022-2-22-2-2-2-2000000000000-22-2-22222-2-2000000000000-220000000000000000-2-2222-20000000000000000002-20000-220000
χ442-22-222222-22-2-2-2-2-2222022-2-22-2-2-2-2000000000000-22-2-22222-2-2000000000000-220000000000000000-2-222-22000000000000000000-2200002-20000
χ452-2-22222-2-2-2-2-222-222220-2-222-2-2-22-2000000002i−2i2i−2i0000002-2-22000000000000002i−2i2i−2i2i−2i00002i−2i2i2i−2i−2i0000002-2000000002i−2i000000002-200000000
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χ482-2-22222-2-2-2-2-222-222220-2-222-2-2-22-200000000−2i2i−2i2i0000002-2-2200000000000000−2i2i−2i2i−2i2i0000−2i2i−2i−2i2i2i0000002-200000000−2i2i000000002-200000000
χ492-2-22-1221-21-2-222-2-1-1-1201-2-1-111-22100−i3i3−i3−i3i3i32i−2i2i−2i003−33−3-111-10−i3i300−i3−i3i3i300000−ii−ii2i−2i3−3002i−2i−i−iii3−33−3002-200000000−ii3−3000000-11−i3i3000000
χ502-2-22-1221-21-2-222-2-1-1-1201-2-1-111-22100−i3i3−i3−i3i3i32i−2i−2i2i003−33−3-111-10−i3i300−i3−i3i3i300000−iii−i−2i2i−33002i−2i−i−iii3−33−300-2200000000i−i−330000001-1i3−i3000000
χ512-2-22-1221-21-2-222-2-1-1-1201-2-1-111-22100−i3i3−i3−i3i3i3−2i2i2i−2i00−33−33-111-10−i3i300−i3−i3i3i300000i−i−ii2i−2i3−300−2i2iii−i−i−33−3300-2200000000−ii3−30000001-1i3−i3000000
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χ552-2-22-1221-21-2-222-2-1-1-1201-2-1-111-22100i3−i3i3i3−i3−i3−2i2i2i−2i003−33−3-111-10i3−i300i3i3−i3−i300000i−i−ii2i−2i−3300−2i2iii−i−i3−33−300-2200000000−ii−330000001-1−i3i3000000
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χ904-44-4-2-24-2-224-42-4221-2-20-2-2-121-122200003i−3i−3i3i00004-4-2-22211-1-1000003i−3i−3i3i000-220000000000003i−3i−3i3i11-1-100000000000000000000000000000000
χ914-44-4-2-24-2-224-42-4221-2-20-2-2-121-122200003i−3i−3i3i0000-4422-2-211-1-1000003i−3i−3i3i0002-2000000000000−3i3i3i−3i-1-11100000000000000000000000000000000
χ924-44-4-2-24-2-224-42-4221-2-20-2-2-121-12220000−3i3i3i−3i00004-4-2-22211-1-100000−3i3i3i−3i000-22000000000000−3i3i3i−3i11-1-100000000000000000000000000000000
χ934-44-4-2-24-2-224-42-4221-2-20-2-2-121-12220000−3i3i3i−3i0000-4422-2-211-1-100000−3i3i3i−3i0002-20000000000003i−3i−3i3i-1-11100000000000000000000000000000000
χ944-4-4444-2-4-4-4224-2-444-2-20224-2-4-42-2200000000004i−4i000000-222-200000000000000004i−4i−2i2i00000000000000000000000000−2i2i000000000000000000
χ954-4-4444-2-4-4-4224-2-444-2-20224-2-4-42-220000000000−4i4i000000-222-20000000000000000−4i4i2i−2i000000000000000000000000002i−2i000000000000000000
χ964-4-444-24-42-4-4-4-2424-24-20-42-24222-2-4000000004i−4i00000000-222-2000000000000004i−4i00000000−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ974-4-444-24-42-4-4-4-2424-24-20-42-24222-2-400000000−4i4i00000000-222-200000000000000−4i4i000000002i−2i2i2i−2i−2i000000000000000000000000000000000000
χ984-4-44-24-22-42224-2-4-2-21-20-12-21222-2-100−2i32i3−2i3−2i32i32i3004i−4i0000001-1-110i3−i300i3i3−i3−i30000000−2i2i−2i2i23−23000000000000000000000000i−i−330000000000000000
χ994-4-44-24-22-42224-2-4-2-21-20-12-21222-2-100−2i32i3−2i3−2i32i32i300−4i4i0000001-1-110i3−i300i3i3−i3−i300000002i−2i2i−2i−2323000000000000000000000000−ii3−30000000000000000
χ1004-4-44-24-22-42224-2-4-2-21-20-12-21222-2-1002i3−2i32i32i3−2i3−2i3004i−4i0000001-1-110−i3i300−i3−i3i3i30000000−2i2i−2i2i−2323000000000000000000000000i−i3−30000000000000000
χ1014-4-44-24-22-42224-2-4-2-21-20-12-21222-2-1002i3−2i32i32i3−2i3−2i300−4i4i0000001-1-110−i3i300−i3−i3i3i300000002i−2i2i−2i23−23000000000000000000000000−ii−330000000000000000
χ1024-4-44-2-24222-4-4-242-21-2-20221-2-1-12-2200−2i32i3i3i3−i3−i34i−4i000023−2323−231-1-110−2i32i300i3i3−i3−i300000−2i2i00000000−2i2iii−i−i−33−3300000000000000000000000000000000
χ1034-4-44-2-24222-4-4-242-21-2-20221-2-1-12-2200−2i32i3i3i3−i3−i3−4i4i0000−2323−23231-1-110−2i32i300i3i3−i3−i3000002i−2i000000002i−2i−i−iii3−33−300000000000000000000000000000000
χ1044-4-44-2-24222-4-4-242-21-2-20221-2-1-12-22002i3−2i3−i3−i3i3i34i−4i0000−2323−23231-1-1102i3−2i300−i3−i3i3i300000−2i2i00000000−2i2iii−i−i3−33−300000000000000000000000000000000
χ1054-4-44-2-24222-4-4-242-21-2-20221-2-1-12-22002i3−2i3−i3−i3i3i3−4i4i000023−2323−231-1-1102i3−2i300−i3−i3i3i3000002i−2i000000002i−2i−i−iii−33−3300000000000000000000000000000000
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
χ10888-8-8-48-44-8-44-4-8484-42-40-244-24-4-4420000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-444-44-444-442220-2-2-2-2-222-2243−4300−2323−23230000000000-11-11000−23233−33−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-444-44-444-442220-2-2-2-2-222-22−43430023−2323−230000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-48-4-8-44444-8-4-420-4244-44-2-2400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-4-484-44-84-84-42-402-44-2-4444-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4-4-44-444444222022-2-22-2-2-2-200006i−6i−6i6i0000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-4-44-444444222022-2-22-2-2-2-20000−6i6i6i−6i0000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-4-84-844-4-448-4-4204-2-4-444-2240000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444444-4-44-42220-2-222-2-2-22-200−4i34i32i32i3−2i3−2i30000000000-111-102i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444444-4-44-42220-2-222-2-2-22-2004i3−4i3−2i3−2i32i32i30000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000

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