Finite Group Databasebeta

← Group #13168309

Character table — Group #13168309

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order122233366666666633346666666661212224436661212121212121212121212122444666666121212121212121212124412121212666661212121212121212121212244446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111111111-1-11111-1-111111111111-11-11111-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-111111-1-11111-111-1-1-1-1-1-111-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111-1-1-1-1-1-11-1-1-1111-1-1-1-11-111
χ51111111111111111111111111111111-1-11111111111111111111-111-1-1-1-1111111-1-11111-1-1-1-1-1-11-1-1111-11-1-11111111-1-1-1111-1-1-1-11-1-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111-1111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11-1-1-1-11111-1-1-11-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-1111111-111-1-1-1-11-1-11111-1-111-1-1-111-1-1-1-1-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-11111111111-111-1-11-1-1-1-111-1-111-1-11-11-1-1-1-1111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-111-1-1-11-111-1-111-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-111-1111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-111-1111111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-11-111-1-111-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-11111111-1-111-11111-1-111-1-1-1-11-11-1-1-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-111-1-1111111111-1-11111-111-1-1-1-11111-1-1-111-1-1-1-1-11-11
χ17222222-122-12-1-1222-12-12-12-1-12-12-1-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-12022000022-1-1-1-1002222000000-100-1-1-10200-1-1-1-1-1-120002-1-10000-1000
χ18222222-122-12-1-1222-12-12-12-1-12-12-1-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-120-2-2000022-1-1110022-2-2000000-100-1-110-200-1-11111-2000-21100001000
χ19222222-122-12-1-1222-12-12-12-1-12-12-1-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-20220000-2-211-1-100-2-22200000010011-1020011-1-1-1-1-2000-21100001000
χ20222222-122-12-1-1222-12-12-12-1-12-12-1-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1-20-2-20000-2-2111100-2-2-2-20000001001110-20011111120002-1-10000-1000
χ21222222-122-12-1-1222-12-1-2-12-1-12-12-1-1-2-20022-1-1-1-11-2-2-211111111-202-20000-2-2-1-1-1-10022-2-20000001001110200-1-1-1-1112000-2-1-100001000
χ22222222-122-12-1-1222-12-1-2-12-1-12-12-1-1-2-20022-1-1-1-11-2-2-211111111-20-220000-2-2-1-11100222200000010011-10-200-1-111-1-1-20002110000-1000
χ23222222-122-12-1-1222-12-1-2-12-1-12-12-1-1-2-200-2-2-1-1-1-11-2-2-211111111202-200002211-1-100-2-2-2-2000000-100-1-11020011-1-111-20002110000-1000
χ24222222-122-12-1-1222-12-1-2-12-1-12-12-1-1-2-200-2-2-1-1-1-11-2-2-21111111120-22000022111100-2-222000000-100-1-1-10-2001111-1-12000-2-1-100001000
χ2522222-122-12-1222-122-1-122-1-12-1-1-1-12-1-12222-1-1-1-122-1-122-1-1-1-1-1-1220022-1-1-1-12200-1-1-1-10022-1-1-1-12-1-1-1-1020-1-1-1-100000002000-1-1000000
χ2622222-122-12-1222-122-1-122-1-12-1-1-1-12-1-122-2-2-1-1-1-122-1-122-1-1-1-1-1-1-220022-1-111-2-200-1-11100-2-21111-2-1-111020-1-1110000000-200011000000
χ2722222-122-12-1222-122-1-122-1-12-1-1-1-12-1-1-2-222-1-1-1-122-1-122-1-1-1-1-1-12-200-2-211-1-1220011-1-100-2-21111211-1-10-2011-1-10000000-200011000000
χ2822222-122-12-1222-122-1-122-1-12-1-1-1-12-1-1-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-2-200-2-21111-2-20011110022-1-1-1-1-211110-20111100000002000-1-1000000
χ2922222-122-12-1222-122-1-1-22-1-12-1-1-1-12112222-1-1-1-1-2-211-2-2111111-2-20022-1-111220011-1-10022-1-1-1-1-2-1-1110-2011-1-10000000-200011000000
χ3022222-122-12-1222-122-1-1-22-1-12-1-1-1-121122-2-2-1-1-1-1-2-211-2-21111112-20022-1-1-1-1-2-200111100-2-211112-1-1-1-10-20111100000002000-1-1000000
χ3122222-122-12-1222-122-1-1-22-1-12-1-1-1-1211-2-222-1-1-1-1-2-211-2-2111111-2200-2-211112200-1-1-1-100-2-21111-21111020-1-1-1-100000002000-1-1000000
χ3222222-122-12-1222-122-1-1-22-1-12-1-1-1-1211-2-2-2-2-1-1-1-1-2-211-2-21111112200-2-211-1-1-2-200-1-1110022-1-1-1-1211-1-1020-1-1110000000-200011000000
χ332222-122-122222-12-1-1-122-1-12-1-12-12-1222200-1-1-1-12-1-1-1-1-122-1-1-1-10222-1-1220000222200-1-10000000-1-1002-1-1-1-100-1-1-1-1022000000-1-10-100
χ342222-122-122222-12-1-1-122-1-12-1-12-12-1222200-1-1-1-12-1-1-1-1-122-1-1-1-102-2-2-1-1220000-2-22200110000000-1-100-2-11-1-10011110-2-2000000110100
χ352222-122-122222-12-1-1-122-1-12-1-12-12-122-2-200-1-1-1-12-1-1-1-1-122-1-1-1-10-22211-2-2000022-2-200-1-10000000110021-11100-1-1-1-10-2-2000000110100
χ362222-122-122222-12-1-1-122-1-12-1-12-12-122-2-200-1-1-1-12-1-1-1-1-122-1-1-1-10-2-2-211-2-20000-2-2-2-2001100000001100-21111001111022000000-1-10-100
χ372222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-22200-1-1-1-1-211111-2-211110-22-2-1-122000022-2-200110000000-1-100-21-11100-1-11102-2000000110-100
χ382222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-22200-1-1-1-1-211111-2-211110-2-22-1-1220000-2-2-2-200-1-10000000-1-100211110011-1-10-22000000-1-10100
χ392222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-2-2-200-1-1-1-1-211111-2-21111022-211-2-200002222001100000001100-2-1-1-1-100-1-1110-22000000-1-10100
χ402222-122-122222-12-1-1-12-2-1-12-1-12-12-1-2-2-2-200-1-1-1-1-211111-2-2111102-2211-2-20000-2-22200-1-1000000011002-11-1-10011-1-102-2000000110-100
χ412-2-222222-2-222-2-2-2-22220222-2-2-2-2-2-2002-22i−2i22-2-200000000000000002-22-2002i−2i00002i−2i002i−2i2i2i−2i−2i02-200000002i−2i0000000000000000000
χ422-2-222222-2-222-2-2-2-22220222-2-2-2-2-2-2002-2−2i2i22-2-200000000000000002-22-200−2i2i0000−2i2i00−2i2i−2i−2i2i2i02-20000000−2i2i0000000000000000000
χ432-2-222222-2-222-2-2-2-22220222-2-2-2-2-2-200-222i−2i22-2-20000000000000000-22-22002i−2i00002i−2i00−2i2i−2i−2i2i2i0-2200000002i−2i0000000000000000000
χ442-2-222222-2-222-2-2-2-22220222-2-2-2-2-2-200-22−2i2i22-2-20000000000000000-22-2200−2i2i0000−2i2i002i−2i2i2i−2i−2i0-220000000−2i2i0000000000000000000
χ452-2-222-1221-2-12-2-21-22-1-102-1-1-21111-23−32-22i−2i-1-111003−3003−333−3−300002-2-11−i3i32i−2i003−3−ii002i−2i−i−iii0-11−i3i30003−3−ii00000000000−i3i3000000
χ462-2-222-1221-2-12-2-21-22-1-102-1-1-21111-23−32-2−2i2i-1-111003−3003−333−3−300002-2-11i3−i3−2i2i003−3i−i00−2i2iii−i−i0-11i3−i30003−3i−i00000000000i3−i3000000
χ472-2-222-1221-2-12-2-21-22-1-102-1-1-21111-23−3-222i−2i-1-111003−3003−333−3−30000-221-1−i3i32i−2i00−33−ii00−2i2iii−i−i01-1−i3i3000−33−ii00000000000i3−i3000000
χ482-2-222-1221-2-12-2-21-22-1-102-1-1-21111-23−3-22−2i2i-1-111003−3003−333−3−30000-221-1i3−i3−2i2i00−33i−i002i−2i−i−iii01-1i3−i3000−33i−i00000000000−i3i3000000
χ492-2-222-1221-2-12-2-21-22-1-102-1-1-21111-2−332-22i−2i-1-11100−3300−33−3−33300002-2-11i3−i32i−2i00−33−ii002i−2i−i−iii0-11i3−i3000−33−ii00000000000i3−i3000000
χ502-2-222-1221-2-12-2-21-22-1-102-1-1-21111-2−332-2−2i2i-1-11100−3300−33−3−33300002-2-11−i3i3−2i2i00−33i−i00−2i2iii−i−i0-11−i3i3000−33i−i00000000000−i3i3000000
χ512-2-222-1221-2-12-2-21-22-1-102-1-1-21111-2−33-222i−2i-1-11100−3300−33−3−3330000-221-1i3−i32i−2i003−3−ii00−2i2iii−i−i01-1i3−i30003−3−ii00000000000−i3i3000000
χ522-2-222-1221-2-12-2-21-22-1-102-1-1-21111-2−33-22−2i2i-1-11100−3300−33−3−3330000-221-1−i3i3−2i2i003−3i−i002i−2i−i−iii01-1−i3i30003−3i−i00000000000i3−i3000000
χ5344444-2-24-2-2-2-2-24-24-2-214-2-21-2-21-21-2-2-200441111-24-2-2-2-211111140000000-2-2-2-20000-2-200000000-2001100000110000000000000000000
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χ934-4-44-2-24-22-4-24-4222-21-20-21-22-12-122−23234-40011-1-1003−300−232333−3−30000-22-22000000−2323000000000001-1000003−3000000000000000000000
χ944-4-44-2-24-22-4-24-4222-21-20-21-22-12-122−2323-440011-1-1003−300−232333−3−300002-22-200000023−2300000000000-1100000−33000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-8-4-444484-8-4-42044-2-4-424-240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-4-484-484-8-8-444-42-404-24-42-4-2440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4-44-4-4444-4442220-2-2-2222-2-2-2000000-111-100006-600-33-33000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-4-4444-4442220-2-2-2222-2-2-2000000-111-10000-66003-33-3000000000000000000000000000000000000000000000000000000000
χ1018-88-88-4-4-84444-4-8-48-4-42044-244-2-42-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-48-44-84-84-448-42-4-40-244-244-4-420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4844-84-884-4-4-42-404-244-242-4-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-444444-44-4-42220-2-2-2-2-2-2222000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444444-44-4-42220-2-2-2-2-2-2222000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4-4-848-444-842-4-402-4-4-24444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4-444-4-444442220222-2-2-2-2-2-243−430000-1-11100−232300−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-444-4-444442220222-2-2-2-2-2-2−43430000-1-1110023−230023−23−3−333000000000000000000000000000000000000000000000000000000000

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