Finite Group Databasebeta

← Group #13168436

Character table — Group #13168436

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121224446612121212121212121212121212122244444466666661212121212121212121212121244121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-111111111-1-111-1-11111-1-1-111-11111-1-11111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1111-1-11111-1-11-1-1-1-1-111-11-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-11-1-111-1-11-111
χ51111111111111111111111111111111-1-1111111111111111111111-11111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-111-1-11111-1-111-11-1-111-1-11-1-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1111-1-1-1-1-111-1111
χ71111111111111111111111111111111-1-1-1-111111111111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111111-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-1111-1-1111-1-11
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1111-11111-1-1-111-1
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-1111111111-11-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-11
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-1
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1111111-1-1-11-11-1-1-1-1111111-1-1-1-11111-1-1-11
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-111-1-11-11111-1-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1111-1-1111-11-1
χ17222222-12-1222-1-122-1-122-1-122-1-12-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-102020022-1-1-1-100-1-1-1-12222002200-1-1-1-1000220-1-1-1-100-1-1-1-100-1-100000000
χ18222222-12-1222-1-122-1-122-1-122-1-12-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-20200-2-2-1-11100-1-11122-2-200-2-20011110002-20-1-11100-1-111001100000000
χ19222222-12-1222-1-122-1-122-1-122-1-12-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1020-2002211-1-10011-1-1-2-2-2-200-2-2001111000-22011-1-10011-1-1001100000000
χ20222222-12-1222-1-122-1-122-1-122-1-12-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-20-200-2-21111001111-2-222002200-1-1-1-1000-2-20111100111100-1-100000000
χ21222222-12-1222-1-122-1-12-2-1-122-1-12-1-1112222-1-1-1-1-2-2-2-2111111110-20-20022-1-1110011-1-122-2-20022001111000-2-20-1-1110011-1-100-1-100000000
χ22222222-12-1222-1-122-1-12-2-1-122-1-12-1-11122-2-2-1-1-1-1-2-2-2-211111111020-200-2-2-1-1-1-1001111222200-2-200-1-1-1-1000-220-1-1-1-1001111001100000000
χ23222222-12-1222-1-122-1-12-2-1-122-1-12-1-111-2-222-1-1-1-1-2-2-2-2111111110-2020022111100-1-1-1-1-2-22200-2-200-1-1-1-10002-20111100-1-1-1-1001100000000
χ24222222-12-1222-1-122-1-12-2-1-122-1-12-1-111-2-2-2-2-1-1-1-1-2-2-2-211111111020200-2-211-1-100-1-111-2-2-2-2002200111100022011-1-100-1-11100-1-100000000
χ2522222-12222-1-122-122-1-122-1-1-12-1-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1222022-1-10022-1-1002200000000220000-1-1-10-1200-1-1-1-100-1-10200-1-100-1000
χ2622222-12222-1-122-122-1-122-1-1-12-1-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1-22-20-2-2-1-1002211002200000000-2-200001110-1-200-1-11100-1-10-20011001000
χ2722222-12222-1-122-122-1-122-1-1-12-1-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-12-220221100-2-2-1-100-2-200000000-2-20000-1-1-10120011-1-100110-20011001000
χ2822222-12222-1-122-122-1-122-1-1-12-1-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-20-2-21100-2-21100-2-20000000022000011101-200111100110200-1-100-1000
χ2922222-12222-1-122-122-1-1-22-1-1-12-1-12-1-2-20022-1-1-1-1-2111-2-21111112-2-2022-1-100-2-211002200000000-2-20000-1-1-101-200111100-1-102001100-1000
χ3022222-12222-1-122-122-1-1-22-1-1-12-1-12-1-2-20022-1-1-1-1-2111-2-2111111-2-220-2-2-1-100-2-2-1-10022000000002200001110120011-1-100-1-10-200-1-1001000
χ3122222-12222-1-122-122-1-1-22-1-1-12-1-12-1-2-200-2-2-1-1-1-1-2111-2-211111122-20221100221100-2-200000000220000-1-1-10-1-200-1-11100110-200-1-1001000
χ3222222-12222-1-122-122-1-1-22-1-1-12-1-12-1-2-200-2-2-1-1-1-1-2111-2-2111111-2220-2-2110022-1-100-2-200000000-2-200001110-1200-1-1-1-1001102001100-1000
χ332222-122-12-122222-1-12-12-12-1-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-12022-1-1002200222200-1-10022000000002-1-1-10-1-1-100-1-1-1-100200000-1-10-100
χ342222-122-12-122222-1-12-12-12-1-1-12-1-12222200-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2211002200-2-22200-1-100-2-200000000-211-101-1-10011-1-100-200000110100
χ352222-122-12-122222-1-12-12-12-1-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1202-2-1-100-2-20022-2-2001100-2-2000000002-1-110-11100-1-11100-200000110100
χ362222-122-12-122222-1-12-12-12-1-1-12-1-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-21100-2-200-2-2-2-20011002200000000-2111011100111100200000-1-10-100
χ372222-122-12-122222-1-12-1-2-12-1-1-12-1-12-2-22200-1-1-1-11-21111-2-2111120-2-2-1-1002200-2-2-2-200-1-10022000000002-1-1101-1-100111100-200000-1-10100
χ382222-122-12-122222-1-12-1-2-12-1-1-12-1-12-2-22200-1-1-1-11-21111-2-21111-202-21100220022-2-200-1-100-2-200000000-21110-1-1-100-1-11100200000110-100
χ392222-122-12-122222-1-12-1-2-12-1-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-2111120-22-1-100-2-200-2-222001100-2-2000000002-1-1-101110011-1-100200000110-100
χ402222-122-12-122222-1-12-1-2-12-1-1-12-1-12-2-2-2-200-1-1-1-11-21111-2-21111-20221100-2-20022220011002200000000-211-10-11100-1-1-1-100-200000-1-10100
χ4122-2-2222-2-2-2-222-2-222220-2-2-2-2222-2-2002-22i−2i22-2-20000000000000000002i−2i2-20000002i−2i2-200002i−2i0000000000002-20000002i−2i002i−2i00000000
χ4222-2-2222-2-2-2-222-2-222220-2-2-2-2222-2-2002-2−2i2i22-2-2000000000000000000−2i2i2-2000000−2i2i2-20000−2i2i0000000000002-2000000−2i2i00−2i2i00000000
χ4322-2-2222-2-2-2-222-2-222220-2-2-2-2222-2-200-222i−2i22-2-20000000000000000002i−2i-220000002i−2i-220000−2i2i000000000000-220000002i−2i00−2i2i00000000
χ4422-2-2222-2-2-2-222-2-222220-2-2-2-2222-2-200-22−2i2i22-2-2000000000000000000−2i2i-22000000−2i2i-2200002i−2i000000000000-22000000−2i2i002i−2i00000000
χ4522-2-222-1-21-2-22-11-22-1-12011-2-2-1-12113−32-22i−2i-1-11100003−33−333−3−30000002i−2i-11−i3i3003−3−ii2-200002i−2i00−i3−i3i3i3000000-11−i3i3003−3−ii00−ii00000000
χ4622-2-222-1-21-2-22-11-22-1-12011-2-2-1-12113−32-2−2i2i-1-11100003−33−333−3−3000000−2i2i-11i3−i3003−3i−i2-20000−2i2i00i3i3−i3−i3000000-11i3−i3003−3i−i00i−i00000000
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χ4822-2-222-1-21-2-22-11-22-1-12011-2-2-1-12113−3-22−2i2i-1-11100003−33−333−3−3000000−2i2i1-1i3−i300−33i−i-2200002i−2i00−i3−i3i3i30000001-1i3−i300−33i−i00−ii00000000
χ4922-2-222-1-21-2-22-11-22-1-12011-2-2-1-1211−332-22i−2i-1-1110000−33−33−3−3330000002i−2i-11i3−i300−33−ii2-200002i−2i00i3i3−i3−i3000000-11i3−i300−33−ii00−ii00000000
χ5022-2-222-1-21-2-22-11-22-1-12011-2-2-1-1211−332-2−2i2i-1-1110000−33−33−3−333000000−2i2i-11−i3i300−33i−i2-20000−2i2i00−i3−i3i3i3000000-11−i3i300−33i−i00i−i00000000
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χ894-4-4444-24-2-4-4-4224-4-2-240-2-24-422-422000000-22-2200000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ904-4-444-2444-422-4-4-2-44-2-204-2-22-422-42000000-22-2200000000000000000000000023−23000000000000000000000000000023−230000000000000000
χ914-4-444-2444-422-4-4-2-44-2-204-2-22-422-42000000-22-22000000000000000000000000−23230000000000000000000000000000−23230000000000000000
χ924-4-44-244-242-4-4-4-442-24-20-24-222-422-4000000-22-220000000000000000−2i32i3000000000000000000000000000−2i32i30000000000000000000000000
χ934-4-44-244-242-4-4-4-442-24-20-24-222-422-4000000-22-2200000000000000002i3−2i30000000000000000000000000002i3−2i30000000000000000000000000
χ944-4-44-2-24-24222-4-4-22-2-210-2-21-122-1220000001-11-1003i−3i00003i−3i3i−3i0000−2i32i300000023−230000000000000000000i3−i30000000−330000000000000000
χ954-4-44-2-24-24222-4-4-22-2-210-2-21-122-1220000001-11-1003i−3i00003i−3i3i−3i00002i3−2i3000000−23230000000000000000000−i3i300000003−30000000000000000
χ964-4-44-2-24-24222-4-4-22-2-210-2-21-122-1220000001-11-100−3i3i0000−3i3i−3i3i0000−2i32i3000000−23230000000000000000000i3−i300000003−30000000000000000
χ974-4-44-2-24-24222-4-4-22-2-210-2-21-122-1220000001-11-100−3i3i0000−3i3i−3i3i00002i3−2i300000023−230000000000000000000−i3i30000000−330000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-484-844-48-84-4-4-42044-2-2-4-424400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44444-4-444-42220-2-2-2-2222-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44444-4-444-42220-2-2-2-2222-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4-848-444-44-8-42-404-24-44-24-420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-444-48-84-4-842-4-40-244-4-2442-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-484-8-4-44-8844-4-42044-2244-2-4-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-4-444-4442220-2-2-22-2-2-222000000-111-100000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444-4-444-4442220-2-2-22-2-2-222000000-111-1000000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-48-4-84444-4-8-42-40-42-444-244-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-4-4-44-8-844842-4-402-4-44-244-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-4-444444-442220222-2-2-2-2-2-2000000-11-11006i−6i0000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-4-444444-442220222-2-2-2-2-2-2000000-11-1100−6i6i00003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000

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