Finite Group Databasebeta

← Group #13168294

Character table — Group #13168294

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order1222333666666666333466666666612121212121212122244121212123666121212121212121212244466666666666612121212121212121212446612121212121212121212244441212121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-111111111-11-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-111-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11-1-1-11-1-1-1-1-1-111-111
χ51111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-111111111-1-111111111-1-1-1-11-111-1-111111-1-1-11-1-1-1-1-1-111-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-11111-1-1-11-11111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1111111111-11-1-1-111-1-111-1-1-1-1-111-1-11-111-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-11-1-1-1-111-1-11-11-1-11111-11-1-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-11-11111-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11111111111111-1-1-1-111-1-1-1-1-1-111-1-1-11-1-1-1-1111-111-111-1-1111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-11111-1-11-111-111-1-1111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11-1111-1-111-11-11111-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1111-11111-1-1-1-11-11-1-11111-11-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-11111111111-1-111-1-1-1-111-1-1-11-1111-1-11111-1-1-1-1-111-1-11-11-11
χ17222222-122-12-12-122-12-12-12-1-12-12-1-1-1-122-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-12022000022-1-1-1-1-1-100-1-122-1-1-1-10000-102-100-1-1-1-120002000000-1-1000
χ18222222-122-12-12-122-12-12-12-1-12-12-1-1-1-122-1-1-1-100222222-1-1-1-1222-1-1-1-1-1-120-2-2000022-1-1-1-1-1-100-1-1-2-2-1-1-1-1000010-21001111-2000-200000011000
χ19222222-122-12-12-122-12-12-12-1-12-12-1-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20220000-2-211111100112211110000-102-100-1-1-1-1-2000-200000011000
χ20222222-122-12-12-122-12-12-12-1-12-12-1-1-1-122-1-1-1-100-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-20-2-20000-2-21111110011-2-21111000010-2100111120002000000-1-1000
χ21222222-122-12-12-122-12-1-2-12-1-12-12-1-111-2-2111100222222-1-1-1-1-2-2-2111111-202-20000-2-211111100-1-1-2-2-1-1-1-10000-102100-1-1112000-2000000-11000
χ22222222-122-12-12-122-12-1-2-12-1-12-12-1-111-2-2111100222222-1-1-1-1-2-2-2111111-20-220000-2-211111100-1-122-1-1-1-1000010-2-10011-1-1-200020000001-1000
χ23222222-122-12-12-122-12-1-2-12-1-12-12-1-111-2-2111100-2-2-2-2-2-2-1-1-1-1-2-2-2111111202-2000022-1-1-1-1-1-10011-2-211110000-102100-1-111-200020000001-1000
χ24222222-122-12-12-122-12-1-2-12-1-12-12-1-111-2-2111100-2-2-2-2-2-2-1-1-1-1-2-2-211111120-22000022-1-1-1-1-1-10011221111000010-2-10011-1-12000-2000000-11000
χ2522222-122-1222-12-122-1-122-1-1-1-12-12-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-122-1-1-1-1220022-1-1-1-122-1-1-1-1-1-12200-1-1-1-122-1-10200-1-1000000020-1-1-1-10000000
χ2622222-122-1222-12-122-1-122-1-1-1-12-12-122-1-1-1-1-1-122-2-21111-1-1-1-12-1-122-1-1-1-1-220022-1-111-2-21111-1-1-2-2001111-2-2-1-10200-1-10000000-2011110000000
χ2722222-122-1222-12-122-1-122-1-1-1-12-12-122-1-1-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-122-1-1-1-12-200-2-211-1-122-1-1-1-1112200-1-1-1-1-2-2110-200110000000-2011110000000
χ2822222-122-1222-12-122-1-122-1-1-1-12-12-122-1-1-1-1-1-1-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2-200-2-21111-2-2111111-2-200111122110-20011000000020-1-1-1-10000000
χ2922222-122-1222-12-122-1-1-22-1-1-1-12-12-1-2-21111112222-1-1-1-1-1-1-1-1-211-2-21111-2-20022-1-111-2-21111112200-1-1-1-122-1-10-200110000000-2011-1-10000000
χ3022222-122-1222-12-122-1-1-22-1-1-1-12-12-1-2-211111122-2-21111-1-1-1-1-211-2-211112-20022-1-1-1-122-1-1-1-111-2-2001111-2-2-1-10-20011000000020-1-1110000000
χ3122222-122-1222-12-122-1-1-22-1-1-1-12-12-1-2-2111111-2-222-1-1-1-1-1-1-1-1-211-2-21111-2200-2-21111-2-21111-1-12200-1-1-1-1-2-2110200-1-1000000020-1-1110000000
χ3222222-122-1222-12-122-1-1-22-1-1-1-12-12-1-2-2111111-2-2-2-21111-1-1-1-1-211-2-211112200-2-211-1-122-1-1-1-1-1-1-2-200111122110200-1-10000000-2011-1-10000000
χ332222-122-122-12222-1-1-122-1-122-1-1-1-122222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-10222-1-122000000002200-1-1000000-1-12-1-12-1-1-1-1-1-1022000000-1-100-100
χ342222-122-122-12222-1-1-122-1-122-1-1-1-122222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-102-2-2-1-12200000000220011000000-1-1-2-11-2-1-111110-2-20000001100100
χ352222-122-122-12222-1-1-122-1-122-1-1-1-1222222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-22211-2-200000000-2-200-1-10000001121-1211-1-1-1-10-2-20000001100100
χ362222-122-122-12222-1-1-122-1-122-1-1-1-1222222222-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2-211-2-200000000-2-2001100000011-211-2111111022000000-1-100-100
χ372222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-22-2-1-12200000000-2-20011000000-1-121-1-211-1-11102-20000001100-100
χ382222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-222000000-1-1-1-11111111110-2-22-1-12200000000-2-200-1-1000000-1-1-21121111-1-10-22000000-1-100100
χ392222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1111111111022-211-2-200000000220011000000112-1-1-2-1-1-1-1110-22000000-1-100100
χ402222-122-122-12222-1-1-12-2-1-122-1-1-1-12-2-2-2-2-2-2-2-2-2-2000000-1-1-1-111111111102-2211-2-2000000002200-1-100000011-2-112-1-111-1-102-20000001100-100
χ412-2-222222-2-2-2-222-2-22220222-2-2-2-2-2-2000000002-22i−2i2i2i−2i−2i22-2-200000000000002-22-200000000002i−2i002i2i−2i−2i2i−2i2-2000000000000000002i−2i0000000
χ422-2-222222-2-2-2-222-2-22220222-2-2-2-2-2-2000000002-2−2i2i−2i−2i2i2i22-2-200000000000002-22-20000000000−2i2i00−2i−2i2i2i−2i2i2-200000000000000000−2i2i0000000
χ432-2-222222-2-2-2-222-2-22220222-2-2-2-2-2-200000000-222i−2i2i2i−2i−2i22-2-20000000000000-22-2200000000002i−2i002i2i−2i−2i−2i2i-2200000000000000000−2i2i0000000
χ442-2-222222-2-2-2-222-2-22220222-2-2-2-2-2-200000000-22−2i2i−2i−2i2i2i22-2-20000000000000-22-220000000000−2i2i00−2i−2i2i2i2i−2i-22000000000000000002i−2i0000000
χ452-2-222-1221-2-2-2-121-22-1-102-1-111-21-21003−333−3−32-22i−2i−i−iii-1-11103−30033−3−300002-2-11−i3i300−i3−i3i3i33−32i−2i00−i−iii2i−2i-1100003−3000000000−i3i3−ii0000000
χ462-2-222-1221-2-2-2-121-22-1-102-1-111-21-21003−333−3−32-2−2i2iii−i−i-1-11103−30033−3−300002-2-11i3−i300i3i3−i3−i33−3−2i2i00ii−i−i−2i2i-1100003−3000000000i3−i3i−i0000000
χ472-2-222-1221-2-2-2-121-22-1-102-1-111-21-21003−333−3−3-222i−2i−i−iii-1-11103−30033−3−30000-221-1−i3i300−i3−i3i3i3−332i−2i00−i−iii−2i2i1-10000−33000000000i3−i3i−i0000000
χ482-2-222-1221-2-2-2-121-22-1-102-1-111-21-21003−333−3−3-22−2i2iii−i−i-1-11103−30033−3−30000-221-1i3−i300i3i3−i3−i3−33−2i2i00ii−i−i2i−2i1-10000−33000000000−i3i3−ii0000000
χ492-2-222-1221-2-2-2-121-22-1-102-1-111-21-2100−33−3−3332-22i−2i−i−iii-1-1110−3300−3−33300002-2-11i3−i300i3i3−i3−i3−332i−2i00−i−iii2i−2i-110000−33000000000i3−i3−ii0000000
χ502-2-222-1221-2-2-2-121-22-1-102-1-111-21-2100−33−3−3332-2−2i2iii−i−i-1-1110−3300−3−33300002-2-11−i3i300−i3−i3i3i3−33−2i2i00ii−i−i−2i2i-110000−33000000000−i3i3i−i0000000
χ512-2-222-1221-2-2-2-121-22-1-102-1-111-21-2100−33−3−333-222i−2i−i−iii-1-1110−3300−3−3330000-221-1i3−i300i3i3−i3−i33−32i−2i00−i−iii−2i2i1-100003−3000000000−i3i3i−i0000000
χ522-2-222-1221-2-2-2-121-22-1-102-1-111-21-2100−33−3−333-22−2i2iii−i−i-1-1110−3300−3−3330000-221-1−i3i300−i3−i3i3i33−3−2i2i00ii−i−i2i−2i1-100003−3000000000i3−i3−ii0000000
χ5344444-2-24-2-24-2-2-2-24-2-214-2-211-2-2-2-21-2-2-2-211110044-2-2-2-211114-2-2-2-2111140000000-2-2-2-2111100-2-2001111000000000000000000000000000000
χ5444444-2-24-2-24-2-2-2-24-2-214-2-211-2-2-2-21-2-2-2-2111100-4-4222211114-2-2-2-21111-400000002222-1-1-1-1002200-1-1-1-1000000000000000000000000000000
χ5544444-2-24-2-24-2-2-2-24-2-21-4-2-211-2-2-2-212222-1-1-1-10044-2-2-2-21111-42222-1-1-1-1-400000002222-1-1-1-100-2-2001111000000000000000000000000000000
χ5644444-2-24-2-24-2-2-2-24-2-21-4-2-211-2-2-2-212222-1-1-1-100-4-422221111-42222-1-1-1-140000000-2-2-2-21111002200-1-1-1-1000000000000000000000000000000
χ574444-24-2-24-2-2-24-24-21-2-241-2-2-2-21-21-2-2-244-2-2-2-2000000001111-2-2-211111100440000000000000000-2-200000000-20-2-20011110000000000000000
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χ864-44-44-2-2-422-4-222-24-2-21022-1-1-222-2100003-3-3300002i3−2i3−2i32i31-1-11000003-3-3300000000002i3−2i3−i3i3i3−i3000000−i3i3i3−i3000000000000000000000000000000
χ874-44-44-2-2-422-4-222-24-2-21022-1-1-222-210000-333-30000−2i32i32i3−2i31-1-1100000-333-300000000002i3−2i3−i3i3i3−i3000000i3−i3−i3i3000000000000000000000000000000
χ884-44-44-2-2-422-4-222-24-2-21022-1-1-222-210000-333-300002i3−2i3−2i32i31-1-1100000-333-30000000000−2i32i3i3−i3−i3i3000000−i3i3i3−i3000000000000000000000000000000
χ894-44-4-2442-4-424-4-44-2-2-24022-4-4-222-240000000000000000-222-20000000000000000000000000000000000000000000000000000000000−2i32i300000
χ904-44-4-2442-4-424-4-44-2-2-24022-4-4-222-240000000000000000-222-200000000000000000000000000000000000000000000000000000000002i3−2i300000
χ914-4-4444-24-42-424-2-4-4-24-20-24-22-42-42200000000004i−4i4i4i−4i−4i-2-222000000000000000000000000000−2i2i00−2i−2i2i2i000000000000000000000000000000
χ924-4-4444-24-42-424-2-4-4-24-20-24-22-42-4220000000000−4i4i−4i−4i4i4i-2-2220000000000000000000000000002i−2i002i2i−2i−2i000000000000000000000000000000
χ934-4-444-2-2422-42-2-22-4-2-210-2-21-12222-10023−23−3−333004i−4i−2i−2i2i2i11-1-1023−2300−3−33300000000−2i32i300i3i3−i3−i300−2i2i00ii−i−i000000000000000000000000000000
χ944-4-444-2-2422-42-2-22-4-2-210-2-21-12222-10023−23−3−33300−4i4i2i2i−2i−2i11-1-1023−2300−3−333000000002i3−2i300−i3−i3i3i3002i−2i00−i−iii000000000000000000000000000000
χ954-4-444-2-2422-42-2-22-4-2-210-2-21-12222-100−232333−3−3004i−4i−2i−2i2i2i11-1-10−23230033−3−3000000002i3−2i300−i3−i3i3i300−2i2i00ii−i−i000000000000000000000000000000
χ964-4-444-2-2422-42-2-22-4-2-210-2-21-12222-100−232333−3−300−4i4i2i2i−2i−2i11-1-10−23230033−3−300000000−2i32i300i3i3−i3−i3002i−2i00−i−iii000000000000000000000000000000
χ974-4-44-244-2-4-42-444-42-2-240-2-24-42222-4000000004-4000000-2-2220000000000000-224-400000000000000000000-2200000000000000000000000000
χ984-4-44-244-2-4-42-444-42-2-240-2-24-42222-400000000-44000000-2-22200000000000002-2-44000000000000000000002-200000000000000000000000000
χ994-4-44-2-24-22-42-4-2422-21-20-21-22-12-1220023−232323−23−234-400000011-1-10−3300−3−3330000-22-220000000023−2300000000001-10000−3300000000000000000000
χ1004-4-44-2-24-22-42-4-2422-21-20-21-22-12-1220023−232323−23−23-4400000011-1-10−3300−3−33300002-22-200000000−23230000000000-1100003−300000000000000000000
χ1014-4-44-2-24-22-42-4-2422-21-20-21-22-12-12200−2323−23−2323234-400000011-1-103−30033−3−30000-22-2200000000−232300000000001-100003−300000000000000000000
χ1024-4-44-2-24-22-42-4-2422-21-20-21-22-12-12200−2323−23−232323-4400000011-1-103−30033−3−300002-22-20000000023−230000000000-110000−3300000000000000000000
χ1038888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-4222200000000-1-1-1-1-42222-1-1-1-100000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-200000000-1-1-1-14-2-2-2-2111100000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-484-48-4-84-844-42-404-24-4-2-424400000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-44-4-4-4444442220-2-2-22-222-2-243−4300−2323−232300000000-11-11000−23233−33−300000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-44-4-4-4444442220-2-2-22-222-2-2−43430023−2323−2300000000-11-1100023−23−33−3300000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-844-4-848-42-4-40-2444-4-242-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4844-8484-8-4-4-42-404-24424-2-4-400000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44444-444-4-42220-2-2-2-22-2-22200006-6-6600000000-111-100000-333-300000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-44444-444-4-42220-2-2-2-22-2-2220000-666-600000000-111-1000003-3-3300000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4-4-84448-4-842-4-402-4-444-24-24000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-44444-4-4442220222-2-2-2-2-2-20043−43−23−23232300000000-1-1110−23230033−3−300000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-44444-4-4442220222-2-2-2-2-2-200−43432323−23−2300000000-1-111023−2300−3−33300000000000000000000000000000000000000000000000000000000

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