Finite Group Databasebeta

← Group #13168045

Character table — Group #13168045

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666333466666666612122244366612121212121212121212121222446666666612121212121212122244444412121212666666661212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111-1-111-1-111111111-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-11-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-11-1-1-1-111-1111
χ51111111111111111111111111111111-1-111111111111111111111-11-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-11-1-11111-11-1-1-1-111-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-111111-1-1-1-1-1-1-1-1111-1-1-111111-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-111-111111-1-1-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-111111-1-1-11-1-111-1-111-1-1-1-1-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-1-111-1-111-1-1111111111-111-1-111-11-1-111-1-1-1-111-1-111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-11111-1-111111111-11-1-111-1-11-111-1-111-1-111-1-111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111111-1-1-1-1-1111-111-1-11111-1-1-1-1-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1-111111-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11-1-1-1-1-111111111-1-11-1-1-111111-1-11
χ17222222-1-12-122-12222-1-122-1-1-1-1-12-12222200-1-1-1-1-12-1-1-1-122-1-1-1-122202222-1-1-1-1002200002200000000002-1-1-1-1-1-1-1-10-1-1000020-1-10000-1000
χ18222222-1-12-122-12222-1-122-1-1-1-1-12-12222200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-22022-2-2-1-11100220000-2-20000000000-21-1-11111-10-1-10000-201100001000
χ19222222-1-12-122-12222-1-122-1-1-1-1-12-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-122-20-2-22211-1-100-2-20000-2-200000000002-111-1-1-1-110110000-201100001000
χ20222222-1-12-122-12222-1-122-1-1-1-1-12-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-20-2-2-2-2111100-2-20000220000000000-211111111011000020-1-10000-1000
χ21222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-22200-1-1-1-11-21111-2-211112-2-202222-1-11100-2-20000-2-20000000000-2-1-1-1-1-1111011000020110000-1000
χ22222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-22200-1-1-1-11-21111-2-21111-22-2022-2-2-1-1-1-100-2-2000022000000000021-1-111-1-110110000-20-1-100001000
χ23222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-2-2-200-1-1-1-11-21111-2-211112-220-2-222111100220000220000000000-2-111-1-111-10-1-10000-20-1-100001000
χ24222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-2-2-200-1-1-1-11-21111-2-21111-2220-2-2-2-211-1-100220000-2-20000000000211111-1-1-10-1-1000020110000-1000
χ2522222-122-122-1222-1-12-12-12-1-12-1-12-1220022-1-1-1-12-122-1-1-1-1-1-1-1-1220200-1-10022220022-1-1000000220000-1200-1-1-1-10-100-1-1-1-1020000-1-10-100
χ2622222-122-122-1222-1-12-12-12-1-12-1-12-1220022-1-1-1-12-122-1-1-1-1-1-1-1-1-2-202001100-2-2220022-1-1000000-2-200001-20011110-100-1-1-1-10-20000110100
χ2722222-122-122-1222-1-12-12-12-1-12-1-12-12200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1220-200-1-10022-2-200-2-211000000-2-20000-1200-1-1-1-1010011110-20000110100
χ2822222-122-122-1222-1-12-12-12-1-12-1-12-12200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-2-20-2001100-2-2-2-200-2-2110000002200001-200111101001111020000-1-10-100
χ2922222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-20022-1-1-1-1-21-2-2111111112-20-200-1-100-2-22200-2-2-1-10000002200001200-1-111010011-1-10-20000-1-10100
χ3022222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-20022-1-1-1-1-21-2-211111111-220-2001100222200-2-2-1-1000000-2-20000-1-20011-1-1010011-1-1020000110-100
χ3122222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-1-1-1-1-21-2-2111111112-20200-1-100-2-2-2-2002211000000-2-200001200-1-1110-100-1-111020000110-100
χ3222222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-200-2-2-1-1-1-1-21-2-211111111-220200110022-2-2002211000000220000-1-20011-1-10-100-1-1110-20000-1-10100
χ332222-122222-122-1-12-1-122-1-122-12-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-10022-1-1002200-1-1-1-1-1-12200222200-1-1-1-100-1-1000022-1-1-1-1-1-10000-1-1000000
χ342222-122222-122-1-12-1-122-1-122-12-1-1-1-1-122-2-2-1-1-1-122-1-122-1-1-1-1-1-1002-2-1-100220011-1-111-2-200-2-2-2-200111100-1-100002-2-1-11111000011000000
χ352222-122222-122-1-12-1-122-1-122-12-1-1-1-1-1-2-222-1-1-1-122-1-122-1-1-1-1-1-100-221100-2-200-1-111-1-12200-2-2-2-200111100110000-2211-1-1-1-1000011000000
χ362222-122222-122-1-12-1-122-1-122-12-1-1-1-1-1-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-100-2-21100-2-200111111-2-200222200-1-1-1-100110000-2-21111110000-1-1000000
χ372222-122222-122-1-12-1-12-2-1-122-12-1-1-1112222-1-1-1-1-2-211-2-211111100-2-2-1-1002200-1-11111220022-2-200111100-1-10000-2-21111-1-10000-1-1000000
χ382222-122222-122-1-12-1-12-2-1-122-12-1-1-11122-2-2-1-1-1-1-2-211-2-211111100-22-1-10022001111-1-1-2-200-2-22200-1-1-1-100-1-10000-2211-1-111000011000000
χ392222-122222-122-1-12-1-12-2-1-122-12-1-1-111-2-222-1-1-1-1-2-211-2-2111111002-21100-2-200-1-1-1-1112200-2-22200-1-1-1-1001100002-2-1-111-1-1000011000000
χ402222-122222-122-1-12-1-12-2-1-122-12-1-1-111-2-2-2-2-1-1-1-1-2-211-2-211111100221100-2-20011-1-1-1-1-2-20022-2-20011110011000022-1-1-1-1110000-1-1000000
χ4122-2-2222-22-2-2-222-2-22220-222-2-2-22-2-2002-22i−2i22-2-200000000000000002-2002-2002i−2i00002i−2i002i−2i00000000002-200000000002i−2i00002i−2i000000
χ4222-2-2222-22-2-2-222-2-22220-222-2-2-22-2-2002-2−2i2i22-2-200000000000000002-2002-200−2i2i0000−2i2i00−2i2i00000000002-20000000000−2i2i0000−2i2i000000
χ4322-2-2222-22-2-2-222-2-22220-222-2-2-22-2-200-222i−2i22-2-20000000000000000-2200-22002i−2i00002i−2i00−2i2i0000000000-2200000000002i−2i0000−2i2i000000
χ4422-2-2222-22-2-2-222-2-22220-222-2-2-22-2-200-22−2i2i22-2-20000000000000000-2200-2200−2i2i0000−2i2i002i−2i0000000000-220000000000−2i2i00002i−2i000000
χ4522-2-2-122-22-21-22-11-2-1-1201-12-21-2-1113−32-22i−2i-1-111003−3003−333−3−30000-11002-200−ii3−3−i3i32i−2i002i−2i0000−i3−i3i3i300-110000003−3−i3i3−ii0000−ii000000
χ4622-2-2-122-22-21-22-11-2-1-1201-12-21-2-1113−32-2−2i2i-1-111003−3003−333−3−30000-11002-200i−i3−3i3−i3−2i2i00−2i2i0000i3i3−i3−i300-110000003−3i3−i3i−i0000i−i000000
χ4722-2-2-122-22-21-22-11-2-1-1201-12-21-2-1113−3-222i−2i-1-111003−3003−333−3−300001-100-2200−ii−33−i3i32i−2i00−2i2i0000i3i3−i3−i3001-1000000−33−i3i3−ii0000i−i000000
χ4822-2-2-122-22-21-22-11-2-1-1201-12-21-2-1113−3-22−2i2i-1-111003−3003−333−3−300001-100-2200i−i−33i3−i3−2i2i002i−2i0000−i3−i3i3i3001-1000000−33i3−i3i−i0000−ii000000
χ4922-2-2-122-22-21-22-11-2-1-1201-12-21-2-111−332-22i−2i-1-11100−3300−33−3−3330000-11002-200−ii−33i3−i32i−2i002i−2i0000i3i3−i3−i300-11000000−33i3−i3−ii0000−ii000000
χ5022-2-2-122-22-21-22-11-2-1-1201-12-21-2-111−332-2−2i2i-1-11100−3300−33−3−3330000-11002-200i−i−33−i3i3−2i2i00−2i2i0000−i3−i3i3i300-11000000−33−i3i3i−i0000i−i000000
χ5122-2-2-122-22-21-22-11-2-1-1201-12-21-2-111−33-222i−2i-1-11100−3300−33−3−33300001-100-2200−ii3−3i3−i32i−2i00−2i2i0000−i3−i3i3i3001-10000003−3i3−i3−ii0000i−i000000
χ5222-2-2-122-22-21-22-11-2-1-1201-12-21-2-111−33-22−2i2i-1-11100−3300−33−3−33300001-100-2200i−i3−3−i3i3−2i2i002i−2i0000i3i3−i3−i3001-10000003−3−i3i3i−i0000−ii000000
χ532-22-2222-2-22-22-2-22-222202-2-22-2-2-22-20000002-22-2000000000000000000000000000000002-2002i−2i2i−2i2i−2i2i−2i0000000000000000002-2002i−2i0000
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χ5944444-2-2-2-2-24-2-244-2-2-21-4-2-211-21-2-2-2-4-4000011112222-1-122-1-1-1-14-40000-2-20022000000000000000000002-20011-1-100000000000000000000
χ6044444-2-2-2-2-24-2-244-2-2-21-4-2-211-21-2-2-2-4-4000011112222-1-122-1-1-1-1-4400002200-2-200000000000000000000-2200-1-11100000000000000000000
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χ894-4-4444-2-2-424-42-4-444-2-20-4222-2-2-424000000-222-200000000000000000000002i3−2i3000000000000000000000000002i3−2i300000000000000000000
χ904-4-444-2442-442-4-4-4-2-24-202-4224-22-4-2000000-222-2000000000000000000−2i32i30000000000000000000000000000−2i32i30000000000000000000000
χ914-4-444-2442-442-4-4-4-2-24-202-4224-22-4-2000000-222-20000000000000000002i3−2i300000000000000000000000000002i3−2i30000000000000000000000
χ924-4-444-2-2-222422-4-4-2-2-21022-1-1-2122-20000001-1-1100003-3003-33-3000000−2i32i300−2i32i3000000000000000000000000i3−i3i3−i300000000000000000000
χ934-4-444-2-2-222422-4-4-2-2-21022-1-1-2122-20000001-1-1100003-3003-33-30000002i3−2i3002i3−2i3000000000000000000000000−i3i3−i3i300000000000000000000
χ944-4-444-2-2-222422-4-4-2-2-21022-1-1-2122-20000001-1-110000-3300-33-33000000−2i32i3002i3−2i3000000000000000000000000i3−i3−i3i300000000000000000000
χ954-4-444-2-2-222422-4-4-2-2-21022-1-1-2122-20000001-1-110000-3300-33-330000002i3−2i300−2i32i3000000000000000000000000−i3i3i3−i300000000000000000000
χ964-4-44-2444-4-4-2-4-4224-2-24022-4-4-2422-2000000-222-2000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ974-4-44-2444-4-4-2-4-4224-2-24022-4-4-2422-2000000-222-20000000000000000000000000000000000000000−232323−230000000000000000000000000000
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
χ10088-8-88-4-44-44-84-48-84-4-4204-42-24-2-44400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-4444-4-4442220-222-2-2-22-2-243−430000-1-11100−232300−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-44-4444-4-4442220-222-2-2-22-2-2−43430000-1-1110023−230023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-444-4-8-44-884-4-420-44-224-24-440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-44-8-44844-4-8-42-40-4-24-4-244240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-48-8484-4-84-442-4-40244-444-2-4-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-44-444-4422202-2-22-2-2-22-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444-44-444-4422202-2-22-2-2-22-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-4-84-4-84448-42-404-2442-44-2-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4884-8-44-844-42-4-40-2444-4-4-2420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4-444-44444-42220-2-2-2-222-2-22000000-111-100006-600-33-33000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4-444-44444-42220-2-2-2-222-2-22000000-111-10000-66003-33-3000000000000000000000000000000000000000000000000000000000000

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