Finite Group Databasebeta

← Group #13167934

Character table — Group #13167934

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444666666888888888888888899991212121212121212121212121212121212121218181818181818182424242424242424242424242424242436363636363636363654547272108
order1222333666666666333466666666612122244443666121212121212121212121212444422466666612121212121212121212444412121212666666666121212121212124441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1-1-1-11-11-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-11111111-1-111-11-1-1-1-1-111-1-11-1-1
χ3111111111111111111111111111111111-1-1111111111111111111-1-1-1-111-1111111-1-1-1-11111-1-1-1-111-1-1-1-1111111111-1-1-111-1-11-1-111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111111-11111-1-1-1-11111111111-1-1-1-11111-1-1111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-111111-11
χ81111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-111-1-11111-1-1-1
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1111-11-1-11111-1-1-111
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1111111-1-1-1-11-11
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-1-1-111-1-1-1-1-1-1-11111-1
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1111
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-111111-1-111-1-1-1-1-111-1111111-1-1111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-11111111-1-11-11-1-1111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-1-111-1-111-1-1-1-11
χ17222222-1-1222-122-122-1-122-1-1-1-1-12-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-100002202222-1-1000022-1-100002200002-1-1-1-1-1-1-1-1000-1-100200-1-10000000-10
χ18222222-1-1222-122-122-1-122-1-1-1-1-12-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-100002-20-2-222-1-10000-2-2110000-2-200002-1111-1-1-1-10001100-20011000000010
χ19222222-1-1222-122-122-1-122-1-1-1-1-12-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-10000-22022-2-211000022-1-10000-2-20000-21-1-1-11111000-1-100-20011000000010
χ20222222-1-1222-122-122-1-122-1-1-1-1-12-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-10000-2-20-2-2-2-2110000-2-2110000220000-2111111110001100200-1-10000000-10
χ21222222-1-1222-122-122-1-1-22-1-1-1-1-12-12-2-2220022-1-1-1-11-21111-2-211110000-2-20-2-222-1-1000022-1-10000220000-21111-1-111000-1-100-200-1-1000000010
χ22222222-1-1222-122-122-1-1-22-1-1-1-1-12-12-2-22200-2-2-1-1-1-11-21111-2-211110000-2202222-1-10000-2-2110000-2-20000-21-1-1-1-1-1110001100200110000000-10
χ23222222-1-1222-122-122-1-1-22-1-1-1-1-12-12-2-2-2-20022-1-1-1-11-21111-2-2111100002-20-2-2-2-211000022-1-10000-2-200002-111111-1-1000-1-100200110000000-10
χ24222222-1-1222-122-122-1-1-22-1-1-1-1-12-12-2-2-2-200-2-2-1-1-1-11-21111-2-21111000022022-2-2110000-2-21100002200002-1-1-1-111-1-10001100-200-1-1000000010
χ2522222-122-12-12222-1-12-12-12-1-12-1-12-122222200-1-1-1-12-122-1-1-1-1-1-1-1-1000020200-1-12222220000-1-122000000-12000-1-1-1-1-1-1-100-1-10200000-1-100-100
χ2622222-122-12-12222-1-12-12-12-1-12-1-12-12222-2-200-1-1-1-12-122-1-1-1-1-1-1-1-1000020-200-1-122-2-2-2-2000011-2-2000000-12000-1-1-1-111100110-2000001100100
χ2722222-122-12-12222-1-12-12-12-1-12-1-12-122-2-22200-1-1-1-12-122-1-1-1-1-1-1-1-10000-2020011-2-222220000-1-1-2-20000001-20001111-1-1-100-1-10-2000001100100
χ2822222-122-12-12222-1-12-12-12-1-12-1-12-122-2-2-2-200-1-1-1-12-122-1-1-1-1-1-1-1-10000-20-20011-2-2-2-2-2-2000011220000001-2000111111100110200000-1-100-100
χ2922222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-2222200-1-1-1-1-21-2-2111111110000-20-200-1-12222-2-20000-1-1220000001-2000-1-11111100-1-10-200000-1-100100
χ3022222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-222-2-200-1-1-1-1-21-2-2111111110000-20200-1-122-2-222000011-2-20000001-2000-1-111-1-1-1001102000001100-100
χ3122222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-2-2-22200-1-1-1-1-21-2-211111111000020-20011-2-222-2-20000-1-1-2-2000000-1200011-1-111100-1-102000001100-100
χ3222222-122-12-12222-1-12-1-2-12-1-12-1-12-1-2-2-2-2-2-200-1-1-1-1-21-2-21111111100002020011-2-2-2-22200001122000000-1200011-1-1-1-1-100110-200000-1-100100
χ332222-12222-122-1-122-1-122-1-122-12-1-1-1-1-1002222-1-1-1-122-1-122-1-1-1-1-1-12222022-1-10000-1-1-1-1-1-122220000-1-1-1-1002-1-100002-1-1-1-1-1-100200-1-10000000
χ342222-12222-122-1-122-1-122-1-122-12-1-1-1-1-10022-2-2-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-20-22110000-1-1-1-111-2-2220000111100-21100002-1-111-1-100-200110000000
χ352222-12222-122-1-122-1-122-1-122-12-1-1-1-1-100-2-222-1-1-1-122-1-122-1-1-1-1-1-1-2-2-2-202-2-1-100001111-1-122-2-200001111002-1-10000-211-1-11100-200110000000
χ362222-12222-122-1-122-1-122-1-122-12-1-1-1-1-100-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-122220-2-2110000111111-2-2-2-20000-1-1-1-100-2110000-211111100200-1-10000000
χ372222-12222-122-1-122-1-12-2-1-122-12-1-1-111002222-1-1-1-1-2-211-2-211111122220-2-2110000-1-111-1-122220000-1-1-1-100-2110000-211-1-1-1-100-200110000000
χ382222-12222-122-1-122-1-12-2-1-122-12-1-1-1110022-2-2-1-1-1-1-2-211-2-2111111-2-2-2-202-2-1-10000-1-11111-2-22200001111002-1-10000-21111-1-100200-1-10000000
χ392222-12222-122-1-122-1-12-2-1-122-12-1-1-11100-2-222-1-1-1-1-2-211-2-2111111-2-2-2-20-2211000011-1-1-1-122-2-20000111100-21100002-1-1-1-11100200-1-10000000
χ402222-12222-122-1-122-1-12-2-1-122-12-1-1-11100-2-2-2-2-1-1-1-1-2-211-2-21111112222022-1-1000011-1-111-2-2-2-20000-1-1-1-1002-1-100002-1-1111100-200110000000
χ4122-2-2222-2-22-22-2-2-222220-2-2-2-222-2-22002-200002-2-220000000000002i2i−2i−2i000002-22-2000000000000002i2i−2i−2i000002-20000000000000000002i−2i000
χ4222-2-2222-2-22-22-2-2-222220-2-2-2-222-2-22002-200002-2-22000000000000−2i−2i2i2i000002-22-200000000000000−2i−2i2i2i000002-2000000000000000000−2i2i000
χ4322-2-2222-2-22-22-2-2-222220-2-2-2-222-2-2200-2200002-2-220000000000002i2i−2i−2i00000-22-22000000000000002i2i−2i−2i00000-22000000000000000000−2i2i000
χ4422-2-2222-2-22-22-2-2-222220-2-2-2-222-2-2200-2200002-2-22000000000000−2i−2i2i2i00000-22-2200000000000000−2i−2i2i2i00000-220000000000000000002i−2i000
χ452-22-2222-2-2-22-22-22-222202-22-2-2-2-22-20000000022-2-20000000000002i−2i2i−2i00000000000000000002i−2i2-22i−2i2i−2i00000000000000000002-2002i−2i00000
χ462-22-2222-2-2-22-22-22-222202-22-2-2-2-22-20000000022-2-20000000000002i−2i2i−2i0000000000000000000−2i2i-222i−2i2i−2i0000000000000000000-2200−2i2i00000
χ472-22-2222-2-2-22-22-22-222202-22-2-2-2-22-20000000022-2-2000000000000−2i2i−2i2i00000000000000000002i−2i-22−2i2i−2i2i0000000000000000000-22002i−2i00000
χ482-22-2222-2-2-22-22-22-222202-22-2-2-2-22-20000000022-2-2000000000000−2i2i−2i2i0000000000000000000−2i2i2-2−2i2i−2i2i00000000000000000002-200−2i2i00000
χ492-2-2222222-2-2-2-22-2-22220-22-22-2-22-2-200002i−2i2i−2i2-22-20000000000002-2-220000000002i−2i002i−2i2i−2i2i−2i00002-2-220000000000002i−2i2i−2i00000000000000
χ502-2-2222222-2-2-2-22-2-22220-22-22-2-22-2-200002i−2i−2i2i2-22-2000000000000-222-20000000002i−2i00−2i2i−2i2i2i−2i0000-222-2000000000000−2i2i2i−2i00000000000000
χ512-2-2222222-2-2-2-22-2-22220-22-22-2-22-2-20000−2i2i2i−2i2-22-2000000000000-222-2000000000−2i2i002i−2i2i−2i−2i2i0000-222-20000000000002i−2i−2i2i00000000000000
χ522-2-2222222-2-2-2-22-2-22220-22-22-2-22-2-20000−2i2i−2i2i2-22-20000000000002-2-22000000000−2i2i00−2i2i−2i2i−2i2i00002-2-22000000000000−2i2i−2i2i00000000000000
χ532-2-22-122221-2-21-1-2-2-1-1201-1-221-2-1113−3002i−2i2i−2i-11-11003−3003−333−3−32-2-22000−i3i30000−ii−i3i3−ii2i−2i2i−2i0000-111-1000−i3i300000−i3i3−ii−ii000003−30000000
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χ572-2-22-122221-2-21-1-2-2-1-1201-1-221-2-111−33002i−2i2i−2i-11-1100−3300−33−3−3332-2-22000i3−i30000−iii3−i3−ii2i−2i2i−2i0000-111-1000i3−i300000i3−i3−ii−ii00000−330000000
χ582-2-22-122221-2-21-1-2-2-1-1201-1-221-2-111−33002i−2i−2i2i-11-1100−3300−33−3−333-222-2000−i3i30000−iii3−i3i−i−2i2i2i−2i00001-1-11000−i3i300000i3−i3i−i−ii000003−30000000
χ592-2-22-122221-2-21-1-2-2-1-1201-1-221-2-111−3300−2i2i2i−2i-11-1100−3300−33−3−333-222-2000i3−i30000i−i−i3i3−ii2i−2i−2i2i00001-1-11000i3−i300000−i3i3−iii−i000003−30000000
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χ874-44-4-244-4-424-4-224-4-2-240-224-42-42-2200000000-2-2220000000000004i−4i4i−4i00000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ884-44-4-244-4-424-4-224-4-2-240-224-42-42-2200000000-2-222000000000000−4i4i−4i4i000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ894-4-4444-2-24-4-42-442-44-2-20-4-22-22242-40000004i−4i-22-22000000000000000000000000000004i−4i−2i2i0000000000000000000000−2i2i0000000000000000
χ904-4-4444-2-24-4-42-442-44-2-20-4-22-22242-4000000−4i4i-22-2200000000000000000000000000000−4i4i2i−2i00000000000000000000002i−2i0000000000000000
χ914-4-444-244-2-42-4-44-42-24-20242-2-42-2-4200004i−4i00-22-2200000000000000000000000004i−4i000000−2i2i0000000000000000000000−2i2i00000000000000
χ924-4-444-244-2-42-4-44-42-24-20242-2-42-2-420000−4i4i00-22-220000000000000000000000000−4i4i0000002i−2i00000000000000000000002i−2i00000000000000
χ934-4-44-24-2-242-422-22-4-21-20212-2-12-2-1223−2300004i−4i1-11-100−330023−23−3−3330000000−2i32i300000000−2i2i−2i2i0000000000000i3−i30000000i−i0000000000000000
χ944-4-44-24-2-242-422-22-4-21-20212-2-12-2-1223−230000−4i4i1-11-100−330023−23−3−33300000002i3−2i3000000002i−2i2i−2i0000000000000−i3i30000000−ii0000000000000000
χ954-4-44-24-2-242-422-22-4-21-20212-2-12-2-12−232300004i−4i1-11-1003−300−232333−3−300000002i3−2i300000000−2i2i−2i2i0000000000000−i3i30000000i−i0000000000000000
χ964-4-44-24-2-242-422-22-4-21-20212-2-12-2-12−23230000−4i4i1-11-1003−300−232333−3−30000000−2i32i3000000002i−2i2i−2i0000000000000i3−i30000000−ii0000000000000000
χ974-4-44-2-244-222-42-2-421-2-20-1-22-22212-123−23004i−4i001-11-10023−2300−33−3−3330000000000000−2i2i−2i32i30000−2i2i000000000000000000i3−i300i−i00000000000000
χ984-4-44-2-244-222-42-2-421-2-20-1-22-22212-123−2300−4i4i001-11-10023−2300−33−3−33300000000000002i−2i2i3−2i300002i−2i000000000000000000−i3i300−ii00000000000000
χ994-4-44-2-244-222-42-2-421-2-20-1-22-22212-1−2323004i−4i001-11-100−2323003−333−3−30000000000000−2i2i2i3−2i30000−2i2i000000000000000000−i3i300i−i00000000000000
χ1004-4-44-2-244-222-42-2-421-2-20-1-22-22212-1−232300−4i4i001-11-100−2323003−333−3−300000000000002i−2i−2i32i300002i−2i000000000000000000i3−i300−ii00000000000000
χ1018888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1028888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-48-44-8-4-8-44448-42-404-2442-44-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-48-84-44844-8-42-4-40-2444-4-4-242000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10588-8-8-4-4-444-44-4444-42220-2-2-2-222-2-2200000000-111-100006-600-33-330000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-4-4-444-44-4444-42220-2-2-2-222-2-2200000000-111-10000-66003-33-30000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-4-444-8-448-8-44-4-420-442-24-24-440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-48-44-8484-44-4-8-42-40-4-2-44-244240000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-48-844-4-8-44842-4-4024-4444-2-4-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4444-44-44-4422202-22-2-2-2-22-200000000-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-44-44-4422202-22-2-2-2-22-200000000-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-4-4-4-844-8844-4-4204-4-224-2-444000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4-4-44444-4442220-22-22-2-22-2-243−43000000-11-1100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-4-44444-4442220-22-22-2-22-2-2−4343000000-11-110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000000

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