Finite Group Databasebeta

← Group #13168292

Character table — Group #13168292

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818182424242424242424242424242424242436363636363636363636367272108108
order122233366666666633346666666661212224436661212121212121212121212124444666612121212121212121212121244121212126612121212121212121212121212122244466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111111111111-1-111-1-111111111-111-1111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1111-1-1-1-11111-1-111-1-1-1-1-1111-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-111-1-111111111-11-1-1111-1-1-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-1111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11-1-11-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1111111-1-111111111-1-1-11-1-1-1-11111-1-1-111-1-111-1-1-1-11-11-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-11111111111111-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1-111-1-111-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111-11-1-1-111-1-1-1-11111-11-1111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-11111-1-111-11-1111111-1-1-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-11-1-111-1-1111-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1111111-1-1-11111111-1-111-1-1-1-1-111-1-1-1-111-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-111111111-1-1111-11111-1-1-1-111-111-1-111-1-1-1-11-1-11
χ17222222-122-1-1222-122-1-1222-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-1200222-1-1-1-1-1-12200-1-10022-1-1-1-1-1-10220-1-1-1-1-1-100002000000-1-1000000
χ18222222-122-1-1222-122-1-1222-1-1-1-1-1-12-1-122-2-2-1-1-1-122-1-1-1-122-1-1-1-1200-222-1-1-1-111-2-2001100-2-21111-1-102-20-1-111110000-200000011000000
χ19222222-122-1-1222-122-1-1222-1-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-1-2002-2-21111-1-12200-1-100-2-21111110-22011-1-1-1-10000-200000011000000
χ20222222-122-1-1222-122-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-122-1-1-1-1-200-2-2-2111111-2-200110022-1-1-1-1110-2-2011111100002000000-1-1000000
χ21222222-122-1-1222-122-1-1-222-1-1-1-1-1-12112222-1-1-1-1-2-21111-2-21111-200-222-1-111112200-1-10022-1-1-1-1-1-10-2-201111-1-10000-200000011000000
χ22222222-122-1-1222-122-1-1-222-1-1-1-1-1-121122-2-2-1-1-1-1-2-21111-2-21111-200222-1-111-1-1-2-2001100-2-21111-1-10-22011-1-11100002000000-1-1000000
χ23222222-122-1-1222-122-1-1-222-1-1-1-1-1-1211-2-222-1-1-1-1-2-21111-2-21111200-2-2-211-1-1112200-1-100-2-211111102-20-1-111-1-100002000000-1-1000000
χ24222222-122-1-1222-122-1-1-222-1-1-1-1-1-1211-2-2-2-2-1-1-1-1-2-21111-2-211112002-2-211-1-1-1-1-2-200110022-1-1-1-1110220-1-1-1-1110000-200000011000000
χ2522222-122-122-12-122-1-122-1-1-122-12-1-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-1022200000022-1-1-1-1222200000000-10-1200-1-1-1-1-1-1-1-102002-1-100000-100
χ2622222-122-122-12-122-1-122-1-1-122-12-1-1220022-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-2200000022-1-11122-2-20000000010-1-200-1-1-1-111110-200-21100000100
χ2722222-122-122-12-122-1-122-1-1-122-12-1-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-1022-2000000-2-211-1-1-2-22200000000-1012001111-1-1-1-10-200-21100000100
χ2822222-122-122-12-122-1-122-1-1-122-12-1-12200-2-2-1-1-1-1-1222-1-1-1-1-1-1-1-10-2-2-2000000-2-21111-2-2-2-200000000101-2001111111102002-1-100000-100
χ2922222-122-122-12-122-1-12-2-1-1-122-12-1-1-2-20022-1-1-1-11-2-2-21111111102-2-2000000-2-2-1-1-1-122-2-20000000010120011-1-1-1-1110200-2-1-100000100
χ3022222-122-122-12-122-1-12-2-1-1-122-12-1-1-2-20022-1-1-1-11-2-2-2111111110-22-2000000-2-2-1-111222200000000-101-20011-1-111-1-10-20021100000-100
χ3122222-122-122-12-122-1-12-2-1-1-122-12-1-1-2-200-2-2-1-1-1-11-2-2-21111111102-220000002211-1-1-2-2-2-20000000010-1200-1-111-1-1110-20021100000-100
χ3222222-122-122-12-122-1-12-2-1-1-122-12-1-1-2-200-2-2-1-1-1-11-2-2-2111111110-222000000221111-2-22200000000-10-1-200-1-11111-1-10200-2-1-100000100
χ332222-122-12222-122-1-12-12-1-12-1-12-12-1222200-1-1-1-12-1-1-122-1-1-1-1-1-12220-1-1222200002200-1-1000000-1-12-10-1-1-10000-1-1-1-1002200000-1-1-1000
χ342222-122-12222-122-1-12-12-1-12-1-12-12-1222200-1-1-1-12-1-1-122-1-1-1-1-1-12-2-20-1-122220000-2-20011000000-1-1-2-101-1-10000111100-2-200000111000
χ352222-122-12222-122-1-12-12-1-12-1-12-12-122-2-200-1-1-1-12-1-1-122-1-1-1-1-1-1-222011-2-2-2-200002200-1-100000011210-1110000-1-1-1-100-2-200000111000
χ362222-122-12222-122-1-12-12-1-12-1-12-12-122-2-200-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2011-2-2-2-20000-2-2001100000011-21011100001111002200000-1-1-1000
χ372222-122-12222-122-1-12-1-2-1-12-1-12-12-1-2-22200-1-1-1-1-2111-2-2111111-22-20-1-122-2-20000220011000000-1-1-210-1110000-1-111002-20000011-1000
χ382222-122-12222-122-1-12-1-2-1-12-1-12-12-1-2-22200-1-1-1-1-2111-2-2111111-2-220-1-122-2-20000-2-200-1-1000000-1-1210111000011-1-100-2200000-1-11000
χ392222-122-12222-122-1-12-1-2-1-12-1-12-12-1-2-2-2-200-1-1-1-1-2111-2-211111122-2011-2-222000022001100000011-2-10-1-1-10000-1-11100-2200000-1-11000
χ402222-122-12222-122-1-12-1-2-1-12-1-12-12-1-2-2-2-200-1-1-1-1-2111-2-21111112-22011-2-2220000-2-200-1-1000000112-101-1-1000011-1-1002-20000011-1000
χ412-2-222222-22-2-2-22-2-222202-2-22-22-2-2-2002-22i−2i22-2-200000000000000002-22-200002i−2i002i−2i002i−2i2i2i−2i−2i2-2000000002i−2i0000000000000000000
χ422-2-222222-22-2-2-22-2-222202-2-22-22-2-2-2002-2−2i2i22-2-200000000000000002-22-20000−2i2i00−2i2i00−2i2i−2i−2i2i2i2-200000000−2i2i0000000000000000000
χ432-2-222222-22-2-2-22-2-222202-2-22-22-2-2-200-222i−2i22-2-20000000000000000-22-2200002i−2i002i−2i00−2i2i−2i−2i2i2i-22000000002i−2i0000000000000000000
χ442-2-222222-22-2-2-22-2-222202-2-22-22-2-2-200-22−2i2i22-2-20000000000000000-22-220000−2i2i00−2i2i002i−2i2i2i−2i−2i-2200000000−2i2i0000000000000000000
χ452-2-2222-12-2-11-2-221-22-1-102-21-11-111-23−32-22i−2i-1-111003−33−30033−3−300002-2-113−3−i3i32i−2i00−ii002i−2i−i−iii-1100003−3−i3i3−ii00000000000−i3i3000000
χ462-2-2222-12-2-11-2-221-22-1-102-21-11-111-23−32-2−2i2i-1-111003−33−30033−3−300002-2-113−3i3−i3−2i2i00i−i00−2i2iii−i−i-1100003−3i3−i3i−i00000000000i3−i3000000
χ472-2-2222-12-2-11-2-221-22-1-102-21-11-111-23−3-222i−2i-1-111003−33−30033−3−30000-221-1−33−i3i32i−2i00−ii00−2i2iii−i−i1-10000−33−i3i3−ii00000000000i3−i3000000
χ482-2-2222-12-2-11-2-221-22-1-102-21-11-111-23−3-22−2i2i-1-111003−33−30033−3−30000-221-1−33i3−i3−2i2i00i−i002i−2i−i−iii1-10000−33i3−i3i−i00000000000−i3i3000000
χ492-2-2222-12-2-11-2-221-22-1-102-21-11-111-2−332-22i−2i-1-11100−33−3300−3−33300002-2-11−33i3−i32i−2i00−ii002i−2i−i−iii-110000−33i3−i3−ii00000000000i3−i3000000
χ502-2-2222-12-2-11-2-221-22-1-102-21-11-111-2−332-2−2i2i-1-11100−33−3300−3−33300002-2-11−33−i3i3−2i2i00i−i00−2i2iii−i−i-110000−33−i3i3i−i00000000000−i3i3000000
χ512-2-2222-12-2-11-2-221-22-1-102-21-11-111-2−33-222i−2i-1-11100−33−3300−3−3330000-221-13−3i3−i32i−2i00−ii00−2i2iii−i−i1-100003−3i3−i3−ii00000000000−i3i3000000
χ522-2-2222-12-2-11-2-221-22-1-102-21-11-111-2−33-22−2i2i-1-11100−33−3300−3−3330000-221-13−3−i3i3−2i2i00i−i002i−2i−i−iii1-100003−3−i3i3i−i00000000000i3−i3000000
χ5344444-2-24-2-2-2-24-2-24-21-24-2-21-2-21-21-2-2-200441111-24-2-211-2-211110004000000-2-2-2-200-2-2000000000000-200011110000000000000000000
χ5444444-2-24-2-2-2-24-2-24-21-24-2-21-2-21-21-2-2-200-4-41111-24-2-211-2-21111000-4000000222200220000000000002000-1-1-1-10000000000000000000
χ5544444-2-24-2-2-2-24-2-24-21-2-4-2-21-2-21-21-222004411112-422-1-122-1-1-1-1000-400000022-2-200-2-20000000000002000-1-1110000000000000000000
χ5644444-2-24-2-2-2-24-2-24-21-2-4-2-21-2-21-21-22200-4-411112-422-1-122-1-1-1-10004000000-2-2220022000000000000-200011-1-10000000000000000000
χ574444-24-2-24-2-24-24-2-2-2-214-2-2-211-21-2-2-2-2440011114-211-2-2-2-211114000-2-2-2-2-2-20000000000000000110-2001100000000000000000000000
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χ594444-24-2-24-2-24-24-2-2-2-21-4-2-2-211-21-2-22244001111-42-1-12222-1-1-1-1-4000-2-2-2-2220000000000000000110200-1-100000000000000000000000
χ604444-24-2-24-2-24-24-2-2-2-21-4-2-2-211-21-2-222-4-4001111-42-1-12222-1-1-1-140002222-2-20000000000000000-1-10-2001100000000000000000000000
χ614444-2-24-2-244-2-2-24-21-2-2411-2-2-2-2-2-214400001111-2-2-2-2-2-211111104400000000000-2-200-2-200000000-200-20000001111000000000000000
χ624444-2-24-2-244-2-2-24-21-2-2411-2-2-2-2-2-214400001111-2-2-2-2-2-21111110-4-400000000000220022000000002002000000-1-1-1-1000000000000000
χ634444-2-24-2-244-2-2-24-21-2-2-411-2-2-2-2-2-21-4-400001111222222-1-1-1-1-1-104-400000000000-2-2002200000000200-200000011-1-1000000000000000
χ644444-2-24-2-244-2-2-24-21-2-2-411-2-2-2-2-2-21-4-400001111222222-1-1-1-1-1-10-44000000000002200-2-200000000-2002000000-1-111000000000000000
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χ824-44-4-2-2422-4-4-2224-21-2-20-1-122-222-210000001-1-11000000-33-33-33000000000000002i3−2i300−2i32i3000000000000000000−i3i3i3−i3000000000000000
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χ864-4-444-2-242-222-4-22-4-21-20-22-1-2212-1223−2300−4i4i11-1-10023−23−3300−3−33300000000002i3−2i32i−2i002i−2i0000000000000000−i3i3−ii0000000000000000000
χ874-4-444-2-242-222-4-22-4-21-20-22-1-2212-12−2323004i−4i11-1-100−23233−30033−3−300000000002i3−2i3−2i2i00−2i2i0000000000000000−i3i3i−i0000000000000000000
χ884-4-444-2-242-222-4-22-4-21-20-22-1-2212-12−232300−4i4i11-1-100−23233−30033−3−30000000000−2i32i32i−2i002i−2i0000000000000000i3−i3−ii0000000000000000000
χ894-4-44-244-2-44-4-424-42-24-20-22-4-2242-42004-400-2-2220000000000000000-224-4000000000000000000-2200000000000000000000000000000
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χ924-4-44-24-2-2-4-22-42422-2-210-2221-1-2-12223−23-440011-1-100−3323−2300−3−33300002-22-2−23230000000000000000-1100003−300000000000000000000000
χ934-4-44-24-2-2-4-22-42422-2-210-2221-1-2-122−23234-40011-1-1003−3−23230033−3−30000-22-22−232300000000000000001-100003−300000000000000000000000
χ944-4-44-24-2-2-4-22-42422-2-210-2221-1-2-122−2323-440011-1-1003−3−23230033−3−300002-22-223−230000000000000000-110000−3300000000000000000000000
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
χ9788-8-88-4-4-8-44-44844-8-42-404-4244-2-4-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-48-4484-4-8-4-844-4-4204-4-4-2-242440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-484-4-884-44-842-4-40-22-4444-44-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-4-44-44-44-44442220-222-2-2-22-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-44-44-44-44442220-222-2-2-22-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000
χ1028-88-88-4-4-8444-4-84-48-42-4044-24-4-242-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-44-84484-8-4-4-4-420444-224-2-4-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-4-44444-444-4-42220-2-2-2-22-2-222000000-111-10000006-6-33-33000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44444-444-4-42220-2-2-2-22-2-222000000-111-1000000-663-33-3000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48-448-844-4-842-4-402-24-44-444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4-44-4444-44422202-2-22-22-2-2-243−430000-1-11100−2323−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4-44-4444-44422202-2-22-22-2-2-2−43430000-1-1110023−2323−2300−3−333000000000000000000000000000000000000000000000000000000000

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