Finite Group Databasebeta

← Group #13169163

Character table — Group #13169163

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121244441212121212121212121212121212121222224444666612121212121212121212121212121212446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1111111111-1-11111-1-111-1-1-1-1111111-111-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111-1111-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-111-1111-1-111-1-11111-1111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11-1-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111111-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11-111-1-111-1-11111111-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-11111111111111111111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
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
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11-1-11111-1-111-1-11-111-1-111-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111-11-1-111111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111111-11-1-1-1-1-11111-1-11111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-11-111111-1-1-1-111-1-111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-11111-1-1-11-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111-111-1-1-1-111-1-1111-111-1-111-11-11
χ17222222-12-1222-1-1222-1-122-1-1-12-12-1-1222200-1-1-1-1-1222-1-1-1-1-1-1-1-10222002200-1-1-1-1220022002200000000-1-102-1-100-1-100-1-1-1-102-1-10000-1000
χ18222222-12-1222-1-1222-1-122-1-1-12-12-1-1222200-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-22002200-1-1112200-2-200-2-2000000001-10-2-1-100-1-10011110-21100001000
χ19222222-12-1222-1-1222-1-122-1-1-12-12-1-122-2-200-1-1-1-1-1222-1-1-1-1-1-1-1-1022-200-2-20011-1-1-2-2002200-2-200000000-110211001100-1-1-1-10-21100001000
χ20222222-12-1222-1-1222-1-122-1-1-12-12-1-122-2-200-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-2-200-2-2001111-2-200-2-2002200000000110-211001100111102-1-10000-1000
χ21222222-12-1222-1-1222-1-1-22-1-1-12-12-1-1-2-22200-1-1-1-11-2-2-21111111102-2-200-2-200-1-1-1-12200-2-200220000000011021100-1-100-1-1110-2-1-100001000
χ22222222-12-1222-1-1222-1-1-22-1-1-12-12-1-1-2-22200-1-1-1-11-2-2-2111111110-22-200-2-200-1-11122002200-2-200000000-110-21100-1-10011-1-102110000-1000
χ23222222-12-1222-1-1222-1-1-22-1-1-12-12-1-1-2-2-2-200-1-1-1-11-2-2-21111111102-2200220011-1-1-2-200-2-200-2-2000000001-102-1-1001100-1-11102110000-1000
χ24222222-12-1222-1-1222-1-1-22-1-1-12-12-1-1-2-2-2-200-1-1-1-11-2-2-2111111110-2220022001111-2-20022002200000000-1-10-2-1-100110011-1-10-2-1-100001000
χ2522222-12-122-1222-12-12-12-122-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-1200222-1-1-1-12200-1-1-1-10022000022-1-1-1-10220-1-1-1-1-1-1-1-10000000000-1-10000
χ2622222-12-122-1222-12-12-12-122-1-1-1-1-12-1-122-2-2-1-1-1-122-1-1-1-122-1-1-1-1-2002-2-2-1-1112200-1-11100-2-20000-2-2111102-20-1-111-1-1110000000000110000
χ2722222-12-122-1222-12-12-12-122-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-1200-22211-1-1-2-20011-1-100-2-20000-2-211110-22011-1-111-1-10000000000110000
χ2822222-12-122-1222-12-12-12-122-1-1-1-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-122-1-1-1-1-200-2-2-21111-2-20011110022000022-1-1-1-10-2-20111111110000000000-1-10000
χ2922222-12-122-1222-12-12-1-2-122-1-1-1-1-12112222-1-1-1-1-2-21111-2-21111-200-22211-1-12200-1-11100-2-200002211110-2-2011-1-1-1-1110000000000-1-10000
χ3022222-12-122-1222-12-12-1-2-122-1-1-1-1-121122-2-2-1-1-1-1-2-21111-2-21111200-2-2-211112200-1-1-1-100220000-2-2-1-1-1-10-2201111-1-1-1-10000000000110000
χ3122222-12-122-1222-12-12-1-2-122-1-1-1-1-1211-2-222-1-1-1-1-2-21111-2-21111-200222-1-1-1-1-2-200111100220000-2-2-1-1-1-102-20-1-1-1-111110000000000110000
χ3222222-12-122-1222-12-12-1-2-122-1-1-1-1-1211-2-2-2-2-1-1-1-1-2-21111-2-211112002-2-2-1-111-2-20011-1-100-2-200002211110220-1-11111-1-10000000000-1-10000
χ332222-12222-12-1222-1-1-122-1-1-12-12-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12220-1-1002200220022-1-100002200000020-1-100-1-100-1-1-1-1-1-12000-1-1000-100
χ342222-12222-12-1222-1-1-122-1-1-12-12-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-12-2-20-1-1002200-2-20022110000-2-2000000-20-1100-1-100-1-11111-200011000100
χ352222-12222-12-1222-1-1-122-1-1-12-12-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-22201100-2-2002200-2-2-1-10000-2-2000000201-100110011-1-1-1-1-200011000100
χ362222-12222-12-1222-1-1-122-1-1-12-12-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-201100-2-200-2-200-2-211000022000000-20110011001111112000-1-1000-100
χ372222-12222-12-1222-1-1-12-2-1-1-12-12-12-1-2-20022-1-1-1-1-2111-2-2111111-22-20-1-10022002200-2-2110000-2-2000000-201-100-1-10011-1-111200011000-100
χ382222-12222-12-1222-1-1-12-2-1-1-12-12-12-1-2-20022-1-1-1-1-2111-2-2111111-2-220-1-1002200-2-200-2-2-1-1000022000000201100-1-1001111-1-1-2000-1-1000100
χ392222-12222-12-1222-1-1-12-2-1-1-12-12-12-1-2-200-2-2-1-1-1-1-2111-2-211111122-201100-2-20022002211000022000000-20-1-1001100-1-1-1-111-2000-1-1000100
χ402222-12222-12-1222-1-1-12-2-1-1-12-12-12-1-2-200-2-2-1-1-1-1-2111-2-21111112-2201100-2-200-2-20022-1-10000-2-200000020-11001100-1-111-1-1200011000-100
χ4122-2-222222-2-22-2-2-2-2222022-22-2-2-2-2-200000022-2-2000000000000000000000000000000002-22-22-20022-2-20000000000000000002-22-2000000
χ4222-2-222222-2-22-2-2-2-2222022-22-2-2-2-2-200000022-2-2000000000000000000000000000000002-2-22-220022-2-2000000000000000000-22-22000000
χ4322-2-222222-2-22-2-2-2-2222022-22-2-2-2-2-200000022-2-200000000000000000000000000000000-222-2-2200-2-2220000000000000000002-2-22000000
χ4422-2-222222-2-22-2-2-2-2222022-22-2-2-2-2-200000022-2-200000000000000000000000000000000-22-222-200-2-222000000000000000000-222-2000000
χ452-2-22222-2-222-2-22-2-22220-2-22-222-2-2-2002i−2i2-22-22-200000000000000002-2002-22i−2i002i−2i00000000002i−2i00000000002-22i−2i0000000000002i−2i0000
χ462-2-22222-2-222-2-22-2-22220-2-22-222-2-2-2002i−2i-222-22-20000000000000000-2200-222i−2i002i−2i0000000000−2i2i0000000000-222i−2i000000000000−2i2i0000
χ472-2-22222-2-222-2-22-2-22220-2-22-222-2-2-200−2i2i2-22-22-200000000000000002-2002-2−2i2i00−2i2i0000000000−2i2i00000000002-2−2i2i000000000000−2i2i0000
χ482-2-22222-2-222-2-22-2-22220-2-22-222-2-2-200−2i2i-222-22-20000000000000000-2200-22−2i2i00−2i2i00000000002i−2i0000000000-22−2i2i0000000000002i−2i0000
χ492-2-222-121-22-1-2-221-2-12-101-221-1-111-23−32i−2i2-2-11-11003−33−30033−3−300002-2−i3i3-112i−2i00−ii3−3000000002i−2i−i3i3−i3i30000−i3i3-11−ii3−30000000000−ii0000
χ502-2-222-121-22-1-2-221-2-12-101-221-1-111-23−32i−2i-22-11-11003−33−30033−3−30000-22−i3i31-12i−2i00−ii−3300000000−2i2ii3−i3i3−i30000−i3i31-1−ii−330000000000i−i0000
χ512-2-222-121-22-1-2-221-2-12-101-221-1-111-23−3−2i2i2-2-11-11003−33−30033−3−300002-2i3−i3-11−2i2i00i−i3−300000000−2i2ii3−i3i3−i30000i3−i3-11i−i3−30000000000i−i0000
χ522-2-222-121-22-1-2-221-2-12-101-221-1-111-23−3−2i2i-22-11-11003−33−30033−3−30000-22i3−i31-1−2i2i00i−i−33000000002i−2i−i3i3−i3i30000i3−i31-1i−i−330000000000−ii0000
χ532-2-222-121-22-1-2-221-2-12-101-221-1-111-2−332i−2i2-2-11-1100−33−3300−3−33300002-2i3−i3-112i−2i00−ii−33000000002i−2ii3−i3i3−i30000i3−i3-11−ii−330000000000−ii0000
χ542-2-222-121-22-1-2-221-2-12-101-221-1-111-2−332i−2i-22-11-1100−33−3300−3−3330000-22i3−i31-12i−2i00−ii3−300000000−2i2i−i3i3−i3i30000i3−i31-1−ii3−30000000000i−i0000
χ552-2-222-121-22-1-2-221-2-12-101-221-1-111-2−33−2i2i2-2-11-1100−33−3300−3−33300002-2−i3i3-11−2i2i00i−i−3300000000−2i2i−i3i3−i3i30000−i3i3-11i−i−330000000000i−i0000
χ562-2-222-121-22-1-2-221-2-12-101-221-1-111-2−33−2i2i-22-11-1100−33−3300−3−3330000-22−i3i31-1−2i2i00i−i3−3000000002i−2ii3−i3i3−i30000−i3i31-1i−i3−30000000000−ii0000
χ5744444-2-2-2-24-24-2-2-24-2-214-2-2-21-21-21-2-2-244001111-24-2-211-2-21111000400-2-200-2-200-2-200000000000000000-200110011000000000000000000
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χ5944444-2-2-2-24-24-2-2-24-2-21-4-2-2-21-21-21-222440011112-422-1-122-1-1-1-1000-4002200-2-200-2-200000000000000000200-1-10011000000000000000000
χ6044444-2-2-2-24-24-2-2-24-2-21-4-2-2-21-21-21-222-4-40011112-422-1-122-1-1-1-1000400-2-20022002200000000000000000-2001100-1-1000000000000000000
χ614444-24-24-2-24-2-2-24-2-21-24-211-2-2-2-2-214400001111-2-2-2-2-2-2111111044000000000-2-20000-2-2000000000000-200-2000000001111000000000000
χ624444-24-24-2-24-2-2-24-2-21-24-211-2-2-2-2-214400001111-2-2-2-2-2-21111110-4-400000000022000022000000000000200200000000-1-1-1-1000000000000
χ634444-24-24-2-24-2-2-24-2-21-2-4-211-2-2-2-2-21-4-400001111222222-1-1-1-1-1-104-4000000000-2-2000022000000000000200-20000000011-1-1000000000000
χ644444-24-24-2-24-2-2-24-2-21-2-4-211-2-2-2-2-21-4-400001111222222-1-1-1-1-1-10-44000000000220000-2-2000000000000-200200000000-1-111000000000000
χ654444-2-24-24-2-2-244-2-21-2-241-2-2-21-21-2-2-2-2004411114-211-2-2-2-211114000-2-200-2-2000000-2-20000000000000000-20001100110000000000000000
χ664444-2-24-24-2-2-244-2-21-2-241-2-2-21-21-2-2-2-200-4-411114-211-2-2-2-21111-40002200220000002200000000000000002000-1-100-1-10000000000000000
χ674444-2-24-24-2-2-244-2-21-2-2-41-2-2-21-21-2-22200441111-42-1-12222-1-1-1-1-4000-2-200-2-200000022000000000000000020001100-1-10000000000000000
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χ834-44-4-24-2-422-42-224-2-21-202-1-1222-2-210000001-1-110000003-33-33-30000000000002i3−2i300002i3−2i3000000000000000000000000−i3i3−i3i3000000000000
χ844-44-4-24-2-422-42-224-2-21-202-1-1222-2-210000001-1-11000000-33-33-33000000000000−2i32i300002i3−2i3000000000000000000000000i3−i3−i3i3000000000000
χ854-44-4-24-2-422-42-224-2-21-202-1-1222-2-210000001-1-11000000-33-33-330000000000002i3−2i30000−2i32i3000000000000000000000000−i3i3i3−i3000000000000
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χ874-4-4444-2-4244-42-2-4-44-2-20-42-224-2-42200−4i4i00-22-2200000000000000000000002i−2i00−4i4i0000000000000000000000002i−2i000000000000000000
χ884-4-444-2-2224-2-42-22-4-2-21022-2-1-212-1223−234i−4i001-11-10023−23−3300−3−333000000−2i32i300−2i2i00−2i2i00000000000000000000i3−i300i−i000000000000000000
χ894-4-444-2-2224-2-42-22-4-2-21022-2-1-212-1223−23−4i4i001-11-10023−23−3300−3−3330000002i3−2i3002i−2i002i−2i00000000000000000000−i3i300−ii000000000000000000
χ904-4-444-2-2224-2-42-22-4-2-21022-2-1-212-12−23234i−4i001-11-100−23233−30033−3−30000002i3−2i300−2i2i00−2i2i00000000000000000000−i3i300i−i000000000000000000
χ914-4-444-2-2224-2-42-22-4-2-21022-2-1-212-12−2323−4i4i001-11-100−23233−30033−3−3000000−2i32i3002i−2i002i−2i00000000000000000000i3−i300−ii000000000000000000
χ924-4-44-244-4-4-242-44-42-2-24022-2-4-242-4200004-4-22-220000000000000000-22004-40000000000000000000000000000-2200000000000000000000
χ934-4-44-244-4-4-242-44-42-2-24022-2-4-242-420000-44-22-2200000000000000002-200-4400000000000000000000000000002-200000000000000000000
χ944-4-44-2-242-4-2-22-44221-2-20-12-221-2-12223−23004-41-11-100−3323−2300−3−3330000-2200-2200000023−23000000000000000000001-100−330000000000000000
χ954-4-44-2-242-4-2-22-44221-2-20-12-221-2-12223−2300-441-11-100−3323−2300−3−33300002-2002-2000000−232300000000000000000000-11003−30000000000000000
χ964-4-44-2-242-4-2-22-44221-2-20-12-221-2-122−2323004-41-11-1003−3−23230033−3−30000-2200-22000000−2323000000000000000000001-1003−30000000000000000
χ974-4-44-2-242-4-2-22-44221-2-20-12-221-2-122−232300-441-11-1003−3−23230033−3−300002-2002-200000023−2300000000000000000000-1100−330000000000000000
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
χ10088-8-88-4-4-4-4-848444-8-4-420-4-4424-24-2400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-48-44-8-444-84-42-40-42-2-44444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-48-4844-4-8-8442-4-402-44-4-24-24400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-4-444-44444222022-22-2-2-2-2-2000000-1-1110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-4-444-44444222022-22-2-2-2-2-2000000-1-11100000000−333333−33000000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-444-84-8-44-48-4-420444-24-2-42-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-484-84448-8-4-42-4-40-2444-242-4-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-444444-44-4-42220-2-2-2-2-2-2222000000-111-10000006-6-33-33000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-444444-44-4-42220-2-2-2-2-2-2222000000-111-1000000-663-33-3000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-4-84-4844-4-84-42-404-224-4-444-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-4-444-4442220-2-22-222-2-2-243−430000-11-1100−2323−23230033−3−3000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-4-444-4442220-2-22-222-2-2-2−43430000-11-110023−2323−2300−3−333000000000000000000000000000000000000000000000000000000000000

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