Finite Group Databasebeta

← Group #13169274

Character table — Group #13169274

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121244441212121212121212121212121212121222666612121212121212121212121212121212224441212121212126644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-11111111111-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111-1-111-1-1111111-1-1-1-1-1-1-1-1111-111-1-111-1-111111-11-1-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-11-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-1-11-11-1-1-111-1-1-1111
χ51111111111111111111111111111111-1-111111111111111111111-11-1-111-1-1111111-1-111-1-1-1-1-1-111-11-1-111-1-1111111-11-11-1-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-11-11-1-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1111111-1-11-1-11-1-1-111-1-11-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111111111-11-1-1-1-1-1-11111-1-111-111-1-111-1-1-1-1-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-111-1-111-1-11-1-1-1-11111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-1111111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1111111111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-111-111-1-1-1-111-1-11111-1-11-1-1-1-111111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1111111-1-1-1-1-1-11111111-1111111-1-1-1-111-1-1-111-1-111-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1111111-11111111-1-1-1-1-1-1111-1-11-1-1-111-1-11-1-11
χ17222222-122-122-12-122-1-122-1-1-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1220200-1-10022-1-12200220000002-10-100-1-100-1-1-1-1-1-10202000-1-1000-100
χ18222222-122-122-12-122-1-122-1-1-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1-2-20200-1-1002211-2-20022000000-210-100-1-100-1-111110-20-200011000100
χ19222222-122-122-12-122-1-122-1-1-12-12-1-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1220-2001100-2-2-1-12200-2-20000002-10100110011-1-1-1-10-20-200011000100
χ20222222-122-122-12-122-1-122-1-1-12-12-1-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-20-2001100-2-211-2-200-2-2000000-21010011001111110202000-1-1000-100
χ21222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-20022-1-1-1-1-2111-2-21111112-20-200-1-100-2-2-1-1-2-200220000002101001100-1-1-1-1110-202000-1-1000100
χ22222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-20022-1-1-1-1-2111-2-2111111-220-200-1-100-2-211220022000000-2-101001100-1-111-1-1020-200011000-100
χ23222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-21111112-20200110022-1-1-2-200-2-2000000210-100-1-10011-1-111020-200011000-100
χ24222222-122-122-12-122-1-1-22-1-1-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-2111111-220200110022112200-2-2000000-2-10-100-1-1001111-1-10-202000-1-1000100
χ2522222-122-122-12-122-12-12-12-1-1-12-12-1222200-1-1-1-1-12-1-1-1-122-1-1-1-12220-1-100220022-1-12200000000-12-10-1-100-1-100-1-1-1-120200-1-10000-1000
χ2622222-122-122-12-122-12-12-12-1-1-12-12-1222200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-220-1-1002200-2-21122000000001-2-10-1-100-1-1001111-20-2001100001000
χ2722222-122-122-12-122-12-12-12-1-1-12-12-122-2-200-1-1-1-1-12-1-1-1-122-1-1-1-122-201100-2-20022-1-1-2-200000000-121011001100-1-1-1-1-20-2001100001000
χ2822222-122-122-12-122-12-12-12-1-1-12-12-122-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-201100-2-200-2-211-2-2000000001-21011001100111120200-1-10000-1000
χ2922222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-11-21111-2-211112-2-20-1-100-2-20022112200000000-1-2101100-1-100-1-11120-200110000-1000
χ3022222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-22200-1-1-1-11-21111-2-21111-22-20-1-100-2-200-2-2-1-1220000000012101100-1-10011-1-1-20200-1-100001000
χ3122222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-211112-220110022002211-2-200000000-1-2-10-1-1001100-1-111-20200-1-100001000
χ3222222-122-122-12-122-12-1-2-12-1-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-21111-222011002200-2-2-1-1-2-20000000012-10-1-100110011-1-120-200110000-1000
χ332222-122-122-12222-1-1-122-1-122-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100222222-1-1-1-10000-1-1-1-122-1-1-1-10022-1-1-1-1-1-1-1-10000000020000-1-10000
χ342222-122-122-12222-1-1-122-1-122-1-1-1-12-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1002-222-2-2-1-1110000-1-111-2-21111002-2-1-111-1-11100000000-20000110000
χ352222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-100-22-2-22211-1-1000011-1-1-2-2111100-2211-1-111-1-100000000-20000110000
χ362222-122-122-12222-1-1-122-1-122-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-100-2-2-2-2-2-211110000111122-1-1-1-100-2-2111111110000000020000-1-10000
χ372222-122-122-12222-1-1-12-2-1-122-1-1-1-12112222-1-1-1-1-2-2-2-21111111100-2-2222211110000-1-1-1-122-1-1-1-100-2-21111-1-1-1-100000000-20000110000
χ382222-122-122-12222-1-1-12-2-1-122-1-1-1-121122-2-2-1-1-1-1-2-2-2-21111111100-2222-2-211-1-10000-1-111-2-2111100-2211-1-1-1-1110000000020000-1-10000
χ392222-122-122-12222-1-1-12-2-1-122-1-1-1-1211-2-222-1-1-1-1-2-2-2-211111111002-2-2-222-1-111000011-1-1-2-21111002-2-1-11111-1-10000000020000-1-10000
χ402222-122-122-12222-1-1-12-2-1-122-1-1-1-1211-2-2-2-2-1-1-1-1-2-2-2-2111111110022-2-2-2-2-1-1-1-10000111122-1-1-1-10022-1-1-1-1111100000000-20000110000
χ412-22-2222-2-2-22-2-222-22220-2-22-222-2-2-2002i−2i2i−2i22-2-200000000000000002i−2i2i−2i000000002i−2i2i−2i2-222-2-2000000002i−2i2i−2i0000000000000000000
χ422-22-2222-2-2-22-2-222-22220-2-22-222-2-2-2002i−2i−2i2i22-2-200000000000000002i−2i−2i2i000000002i−2i−2i2i-22-2-222000000002i−2i−2i2i0000000000000000000
χ432-22-2222-2-2-22-2-222-22220-2-22-222-2-2-200−2i2i2i−2i22-2-20000000000000000−2i2i2i−2i00000000−2i2i2i−2i-22-2-22200000000−2i2i2i−2i0000000000000000000
χ442-22-2222-2-2-22-2-222-22220-2-22-222-2-2-200−2i2i−2i2i22-2-20000000000000000−2i2i−2i2i00000000−2i2i−2i2i2-222-2-200000000−2i2i−2i2i0000000000000000000
χ452-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−32i−2i2i−2i-1-11100003−33−333−3−300002i−2i2i−2i−i3i3−i3i30000−ii−ii2-2-1-1110000−i3i3−i3i3−ii−ii00000000000003−30000
χ462-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−32i−2i−2i2i-1-11100003−33−333−3−300002i−2i−2i2i−i3i3i3−i30000−iii−i-2211-1-10000−i3i3i3−i3−iii−i0000000000000−330000
χ472-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−3−2i2i2i−2i-1-11100003−33−333−3−30000−2i2i2i−2ii3−i3−i3i30000i−i−ii-2211-1-10000i3−i3−i3i3i−i−ii0000000000000−330000
χ482-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-23−3−2i2i−2i2i-1-11100003−33−333−3−30000−2i2i−2i2ii3−i3i3−i30000i−ii−i2-2-1-1110000i3−i3i3−i3i−ii−i00000000000003−30000
χ492-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-2−332i−2i2i−2i-1-1110000−33−33−3−33300002i−2i2i−2ii3−i3i3−i30000−ii−ii2-2-1-1110000i3−i3i3−i3−ii−ii0000000000000−330000
χ502-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-2−332i−2i−2i2i-1-1110000−33−33−3−33300002i−2i−2i2ii3−i3−i3i30000−iii−i-2211-1-10000i3−i3−i3i3−iii−i00000000000003−30000
χ512-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-2−33−2i2i2i−2i-1-1110000−33−33−3−3330000−2i2i2i−2i−i3i3i3−i30000i−i−ii-2211-1-10000−i3i3i3−i3i−i−ii00000000000003−30000
χ522-22-2-1221-2-2-1-2-2221-1-120112-2-1-111-2−33−2i2i−2i2i-1-1110000−33−33−3−3330000−2i2i−2i2i−i3i3−i3i30000i−ii−i2-2-1-1110000−i3i3−i3i3i−ii−i0000000000000−330000
χ5344444-2-24-2-24-2-2-2-24-2-214-2-211-2-2-2-214400001111-2-211-2-2-2-21111440000000000-2-2-2-20000000000-2-200000000001111000000000000000
χ5444444-2-24-2-24-2-2-2-24-2-214-2-211-2-2-2-214400001111-2-211-2-2-2-21111-4-4000000000022220000000000220000000000-1-1-1-1000000000000000
χ5544444-2-24-2-24-2-2-2-24-2-21-4-2-211-2-2-2-21-4-40000111122-1-12222-1-1-1-14-40000000000-2-2220000000000-22000000000011-1-1000000000000000
χ5644444-2-24-2-24-2-2-2-24-2-21-4-2-211-2-2-2-21-4-40000111122-1-12222-1-1-1-1-44000000000022-2-200000000002-20000000000-1-111000000000000000
χ574444-24-2-24-2-24-24-2-2-21-24-21-2-2-21-21-2-2-2004411114-2-2-2-2-2111111000400-2-200-2-2000000-2-2000000000-2001100110000000000000000000
χ584444-24-2-24-2-24-24-2-2-21-24-21-2-2-21-21-2-2-200-4-411114-2-2-2-2-2111111000-40022002200000022000000000200-1-100-1-10000000000000000000
χ594444-24-2-24-2-24-24-2-2-21-2-4-21-2-2-21-21-22200441111-422222-1-1-1-1-1-1000-400-2-20022000000-2-2000000000200-1-100110000000000000000000
χ604444-24-2-24-2-24-24-2-2-21-2-4-21-2-2-21-21-22200-4-41111-422222-1-1-1-1-1-10004002200-2-200000022000000000-2001100-1-10000000000000000000
χ614444-2-24-2-24-2-24-24-21-2-241-2-2-21-21-2-2-2-244001111-24-2-211-2-211110040-2-200-2-2000000-2-20000000000-20110011000000000000000000000
χ624444-2-24-2-24-2-24-24-21-2-241-2-2-21-21-2-2-2-2-4-4001111-24-2-211-2-2111100-4022002200000022000000000020-1-100-1-1000000000000000000000
χ634444-2-24-2-24-2-24-24-21-2-2-41-2-2-21-21-2-222440011112-422-1-122-1-1-1-100-40-2-20022000000-2-2000000000020-1-10011000000000000000000000
χ644444-2-24-2-24-2-24-24-21-2-2-41-2-2-21-21-2-222-4-40011112-422-1-122-1-1-1-100402200-2-2000000220000000000-201100-1-1000000000000000000000
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χ774-44-4-24-22-42-2-424-22-21-202-1-22-212-1223−2300−4i4i11-1-1000023−23−33−3−3330000002i−2i002i3−2i30000002i−2i000000000000−i3i300−ii0000000000000000000
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χ794-44-4-24-22-42-2-424-22-21-202-1-22-212-12−232300−4i4i11-1-10000−23233−333−3−30000002i−2i00−2i32i30000002i−2i000000000000i3−i300−ii0000000000000000000
χ804-44-4-2-2422-4-22-4-2421-2-20-12-221-2-12223−234i−4i0011-1-10000−3323−23−3−3330000−2i2i00−2i32i3000000−2i2i000000000000i3−i300i−i000000000000000000000
χ814-44-4-2-2422-4-22-4-2421-2-20-12-221-2-12223−23−4i4i0011-1-10000−3323−23−3−33300002i−2i002i3−2i30000002i−2i000000000000−i3i300−ii000000000000000000000
χ824-44-4-2-2422-4-22-4-2421-2-20-12-221-2-122−23234i−4i0011-1-100003−3−232333−3−30000−2i2i002i3−2i3000000−2i2i000000000000−i3i300i−i000000000000000000000
χ834-44-4-2-2422-4-22-4-2421-2-20-12-221-2-122−2323−4i4i0011-1-100003−3−232333−3−300002i−2i00−2i32i30000002i−2i000000000000i3−i300−ii000000000000000000000
χ844-4-44444-444-4-4-4-4-444440-4-4-44-4-444-40000004-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ854-4-4444-2-44-2-4-42-4244-2-20-422-2-424-22000000-222-200000000000000000000000023−2300000000000000000000000023−2300000000000000000
χ864-4-4444-2-44-2-4-42-4244-2-20-422-2-424-22000000-222-2000000000000000000000000−2323000000000000000000000000−232300000000000000000
χ874-4-444-24-4-24-42-42-44-24-202-42-22-4-242000000-222-20000000000000000000000000023−2300000000000000000000000023−23000000000000000
χ884-4-444-24-4-24-42-42-44-24-202-42-22-4-242000000-222-200000000000000000000000000−2323000000000000000000000000−2323000000000000000
χ894-4-444-2-2-4-2-2-422224-2-21022-1122-2-2-10000001-1-11003-300003-33-300000000000023−2323−230000000000000000000000−33−33000000000000000
χ904-4-444-2-2-4-2-2-422224-2-21022-1122-2-2-10000001-1-11003-300003-33-3000000000000−2323−232300000000000000000000003−33−3000000000000000
χ914-4-444-2-2-4-2-2-422224-2-21022-1122-2-2-10000001-1-1100-330000-33-3300000000000023−23−23230000000000000000000000−333−3000000000000000
χ924-4-444-2-2-4-2-2-422224-2-21022-1122-2-2-10000001-1-1100-330000-33-33000000000000−232323−2300000000000000000000003−3−33000000000000000
χ934-4-44-2442442-4-4-4-4-2-2-24022-4422-2-2-4000000-222-20000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ944-4-44-2442442-4-4-4-4-2-2-24022-4422-2-2-4000000-222-200000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ958888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ968888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4844-8-4-444-8-4-420-4-4-2-2444420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4-4-8448-4-844-42-40-42444-24-2-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-48-44-84-484-842-4-402-444-24-24-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-4-4444-4-4444222022-2-2-2-2-2-22000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4444-4-4444222022-2-2-2-2-2-22000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-4-844844-4-4-8-4-420442-2-4-444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-4444-444-4-442220-2-22-222-2-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-4444-444-4-442220-2-22-222-2-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-448-44-84-84-4-42-404-24-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-484-4844-84-8-42-4-40-244-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-44-4-444444-42220-2-2-22-2-222-2000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-44-4-444444-42220-2-2-22-2-222-2000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000

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