Finite Group Databasebeta

← Group #13168381

Character table — Group #13168381

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212124444441212121236661212121212121212122446612121212121212121212121212121212121212124444666121212121212121212244412121212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-1-1-11111111111111111111111-1-1-1-1-1-1-11-1-11111-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111-111111-1-1-1-111-1-11111111111-1-1-1-111111-111-1-1-1-11-11-1-1-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1111-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-11-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1-1-1-11-1-1-1-1111111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-111111111-1-1-1-11111111-1-1-1-1-111-1-1-1-11-11111-1-1-1-1-1-111
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-111-11111-1-11-1-11-1-111-1-11111-1-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1111-1-1-1-11111-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-111111-1-11111-1-111-1-111-1-11-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111111-1-1-1-1-111-1-111-1-111-1-111111-1-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1111-1-1-1-111-1-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111-1-11-1-1-1-1111-1-11-1-111-1-1-1-111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111111-1-111-1-11-11111-1-111-1-11-1
χ17222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-120222-1-10000-1-10022-1-1-1-1-1-1-1-10000-1-1-12-10-1-10000202000000000-10-10
χ18222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1-20-2-2-2-1-10000-1-10022-1-1-1-1-1-1-1-10000111-210110000-20-20000000001010
χ19222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1202221100001100-2-2111111110000-1-1-12-10-1-10000-20-20000000001010
χ20222222-12-12-122-1222-1-1222-1-1-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-20-2-2-21100001100-2-2111111110000111-210110000202000000000-10-10
χ21222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-211112200-2-2-2-2-2-2-1-1-1-1-211-2-2111120-222-1-10000110022-1-1-1-111110000-1-1-1-210110000-20200000000010-10
χ22222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-211112200-2-2-2-2-2-2-1-1-1-1-211-2-21111-202-2-2-1-10000110022-1-1-1-1111100001112-10-1-1000020-2000000000-1010
χ23222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-200222222-1-1-1-1-211-2-2111120-222110000-1-100-2-21111-1-1-1-10000-1-1-1-21011000020-2000000000-1010
χ24222222-12-12-122-1222-1-1-222-1-1-1-1-1-1211-2-21111-2-200222222-1-1-1-1-211-2-21111-202-2-2110000-1-100-2-21111-1-1-1-100001112-10-1-10000-20200000000010-10
χ2522222-12-12222-12-12-12-12-1-1-12-122-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-100222200-1-1000000000000222-1-1-12-1-1-1-1-1-1-10002-1-10000000-100
χ2622222-12-12222-12-12-12-12-1-1-12-122-1-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-21100222200-1-1000000000000-2-2-2111-2-111-1-1-1-1000-2110000000100
χ2722222-12-12222-12-12-12-12-1-1-12-122-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-12-22-1-100-2-2-2-20011000000000000-2-22-1-1-121-1-11111000-2110000000100
χ2822222-12-12222-12-12-12-12-1-1-12-122-1-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21100-2-2-2-2001100000000000022-2111-211111110002-1-10000000-100
χ2922222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-2-1-10022-2-200-1-1000000000000222-1-11-2111-1-111000-2-1-10000000100
χ3022222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-2-22110022-2-200-1-1000000000000-2-2-211-121-1-1-1-1110002110000000-100
χ3122222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-111111111122-2-1-100-2-2220011000000000000-2-22-1-11-2-11111-1-10002110000000-100
χ3222222-12-12222-12-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2221100-2-222001100000000000022-211-12-1-1-111-1-1000-2-1-10000000100
χ332222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10200022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1220000000200-1-1-1-1020000-1-1-1-1000000
χ342222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10-200022111122-2-2-1-1-1-1-1-1-1-1-1-1-2-20000000-20011110-200001111000000
χ352222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-102000-2-2-1-1-1-1-2-2221111111111-2-20000000200-1-1-1-10-200001111000000
χ362222-12222-12-1222-1-1-122-1-12-12-1-12-122-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-10-2000-2-21111-2-2-2-21111111111220000000-2001111020000-1-1-1-1000000
χ372222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-21111112222-2-21111-1-1-1-1-2-2-21111110-200022-1-111-2-222-1-1-1-1-1-11111220000000-200-1-1110-20000-1-111000000
χ382222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-211111122-2-2-2-21111-1-1-1-1-2-2-2111111020002211-1-1-2-2-2-2-1-1-1-1-1-11111-2-2000000020011-1-102000011-1-1000000
χ392222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-2111111-2-22222-1-1-1-1-1-1-1-1-2-2-21111110-2000-2-2-1-1112222111111-1-1-1-1-2-20000000-200-1-11102000011-1-1000000
χ402222-12222-12-1222-1-1-12-2-1-12-12-1-12-1-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-2-2-211111102000-2-211-1-122-2-2111111-1-1-1-122000000020011-1-10-20000-1-111000000
χ412-22-2222-22-2-22-2-22-22220-2-2-222-2-2-22000000002i−2i2-20000002-2-22000000000000002i−2i2-200002-22i−2i2i2i−2i−2i00002i−2i00000000002-2000000002i−2i00000000
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χ442-22-2222-22-2-22-2-22-22220-2-2-222-2-2-2200000000−2i2i-220000002-2-2200000000000000−2i2i-220000-22−2i2i−2i−2i2i2i00002i−2i0000000000-22000000002i−2i00000000
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χ472-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100−i3i3−i3−i3i3i3−2i2i2-200−3−333-111-1000−i3i3−i3−i3i3i300000−2i2i-11−i3i3002-2i−iii−i−i−3−333−2i2i0000000000-11−i3i3000000i−i−33000000
χ482-22-2-122-221-2-1-2-221-1-12011-2-1211-2-100−i3i3−i3−i3i3i3−2i2i-2200−3−333-111-1000−i3i3−i3−i3i3i300000−2i2i1-1i3−i300-22i−iii−i−i−3−3332i−2i00000000001-1i3−i3000000−ii3−3000000
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χ904-44-4-24-2-4-222-2-4242-21-202221-2-1-12-2002i3−2i3−i3−i3i3i34i−4i0000−23−2323231-1-110002i3−2i3−i3−i3i3i300000−2i2i00000000−2i2iii−i−i33−3−300000000000000000000000000000000
χ914-44-4-24-2-4-222-2-4242-21-202221-2-1-12-2002i3−2i3−i3−i3i3i3−4i4i00002323−23−231-1-110002i3−2i3−i3−i3i3i3000002i−2i000000002i−2i−i−iii−3−33300000000000000000000000000000000
χ924-44-4-2-24242-4-22-4-221-2-20-1-12-2-2222100−2i32i3−2i3−2i32i32i3004-40000001-1-11000i3−i3i3i3−i3−i30000000-22−2i32i300-2200000000000000000000001-1i3−i30000000000000000
χ934-44-4-2-24242-4-22-4-221-2-20-1-12-2-2222100−2i32i3−2i3−2i32i32i300-440000001-1-11000i3−i3i3i3−i3−i300000002-22i3−2i3002-20000000000000000000000-11−i3i30000000000000000
χ944-44-4-2-24242-4-22-4-221-2-20-1-12-2-22221002i3−2i32i32i3−2i3−2i3004-40000001-1-11000−i3i3−i3−i3i3i30000000-222i3−2i300-2200000000000000000000001-1−i3i30000000000000000
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χ964-4-4444-2-4242-44-2-4-44-2-204-4222-22-2-40000000000004-44-44-4-2-22200000000000000000000-2200000000-22-2200000000000000000000000000000000
χ974-4-4444-2-4242-44-2-4-44-2-204-4222-22-2-4000000000000-44-44-44-2-222000000000000000000002-2000000002-22-200000000000000000000000000000000
χ984-4-444-242-44-4-4-242-4-24-20-222-424-4-22000000000000000000-2-2220000000000000000000000000000000000004i−4i0000000000000000−2i2i0000000000
χ994-4-444-242-44-4-4-242-4-24-20-222-424-4-22000000000000000000-2-222000000000000000000000000000000000000−4i4i00000000000000002i−2i0000000000
χ1004-4-44-244-4-4-2-4244-42-2-240-22-42-4-22420000000000004-4-22-22-2-222000000000000000000004-400000000-22-2200000000000000000000000000000000
χ1014-4-44-244-4-4-2-4244-42-2-240-22-42-4-2242000000000000-442-22-2-2-22200000000000000000000-44000000002-22-200000000000000000000000000000000
χ1024-4-44-24-2-42-2224-2-42-21-20-222-121-1-2200003i−3i−3i3i00004-4-22-2211-1-1000003i−3i−3i3i00000000000-2200003i−3i−3i3i1-11-100000000000000000000000000000000
χ1034-4-44-24-2-42-2224-2-42-21-20-222-121-1-2200003i−3i−3i3i0000-442-22-211-1-1000003i−3i−3i3i000000000002-20000−3i3i3i−3i-11-1100000000000000000000000000000000
χ1044-4-44-24-2-42-2224-2-42-21-20-222-121-1-220000−3i3i3i−3i00004-4-22-2211-1-100000−3i3i3i−3i00000000000-220000−3i3i3i−3i1-11-100000000000000000000000000000000
χ1054-4-44-24-2-42-2224-2-42-21-20-222-121-1-220000−3i3i3i−3i0000-442-22-211-1-100000−3i3i3i−3i000000000002-200003i−3i−3i3i-11-1100000000000000000000000000000000
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
χ10888-8-8-4-48-4-84844-84-42-4-40-22-4444-44-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-444-44444-42220-222-2-2-22-2-243−4300−2323−23230000000000-11-110−2323003−33−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4-444-44444-42220-222-2-2-22-2-2−43430023−2323−230000000000-11-11023−2300−33−33000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-44-4-84844-4-8-4-42044-2-4244-2-40000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-44-444-444-442220-2-2-222-2-2-2200−4i34i32i32i3−2i3−2i30000000000-111-10002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44-444-444-442220-2-2-222-2-2-22004i3−4i3−2i3−2i32i32i30000000000-111-1000−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-44484-8-4-44-8-4-420-44-24-2-442400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-484-8-4-84-48442-4-402-2444-44-4-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444-444-4-44422202-2-2-2-22-22-200006i−6i−6i6i0000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444-444-4-44422202-2-2-2-22-22-20000−6i6i6i−6i0000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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