Finite Group Databasebeta

← Group #13168403

Character table — Group #13168403

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121224466661212121212121212121212124444121212126666661212121212121212121244441212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-11111111111-1-11111-1-111111111-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1-1-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-1-1-111-1-111-1-1111-11
χ51111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-11-1-1111111-1-111-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-11-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1111-1-1-1-11111-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1111111-1-11111-1-111-1-1-11-1-11111-1-11-1-11-1-1-1-111111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-111-1-11111111111-11-1-111-1-1-1-1-111-1-1-111-1-1-1-1-111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-11-111-1-11111-111-1-1-111-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1111-111-1-1-1-1111-1-11-1-1-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1111-1-1-1-1-1-1111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-11-11-111111111-1-1-1
χ17222222-1-1-1222222-12-1-122-1-1-1-12-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-120222-1-10000222200-1-1000000002-1-1-1-1-1-10-1-100-1-10022000000-1-1000-10
χ18222222-1-1-1222222-12-1-122-1-1-1-12-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-20222-1-10000-2-222001100000000-21-1-111-10-1-1001100-2-20000001100010
χ19222222-1-1-1222222-12-1-122-1-1-1-12-1-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-120-2-2-211000022-2-200-1-1000000002-111-1-1101100-1-100-2-20000001100010
χ20222222-1-1-1222222-12-1-122-1-1-1-12-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-2-2110000-2-2-2-2001100000000-211111101100110022000000-1-1000-10
χ21222222-1-1-1222222-12-1-1-22-1-1-1-12-1-12-2-2220022-1-1-1-11-21111-2-21111-20-222-1-1000022-2-200-1-100000000-21-1-111101100-1-1002-2000000-1-100010
χ22222222-1-1-1222222-12-1-1-22-1-1-1-12-1-12-2-22200-2-2-1-1-1-11-21111-2-2111120-222-1-10000-2-2-2-20011000000002-1-1-1-1-11011001100-2200000011000-10
χ23222222-1-1-1222222-12-1-1-22-1-1-1-12-1-12-2-2-2-20022-1-1-1-11-21111-2-21111-202-2-2110000222200-1-100000000-211111-10-1-100-1-100-2200000011000-10
χ24222222-1-1-1222222-12-1-1-22-1-1-1-12-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-21111202-2-2110000-2-2220011000000002-111-1-1-10-1-10011002-2000000-1-100010
χ2522222-12222-12-1-122-12-12-12-12-1-12-1-1-1-1222200-1-1-1-12222-1-1-1-1-1-1-1-1022-1-12222-1-100-1-1-1-1002222-1-1-1-100-1-10022-1-1-1-100-1-10000-1-1000000000
χ2622222-12222-12-1-122-12-12-12-12-1-12-1-1-1-122-2-200-1-1-1-12222-1-1-1-1-1-1-1-10-22-1-122-2-21100-1-11100-2-2-2-2111100-1-1002-2-1-1110011000011000000000
χ2722222-12222-12-1-122-12-12-12-12-1-12-1-1-1-1-2-22200-1-1-1-12222-1-1-1-1-1-1-1-102-211-2-222-1-10011-1-100-2-2-2-21111001100-2211-1-100-1-1000011000000000
χ2822222-12222-12-1-122-12-12-12-12-1-12-1-1-1-1-2-2-2-200-1-1-1-12222-1-1-1-1-1-1-1-10-2-211-2-2-2-211001111002222-1-1-1-1001100-2-2111100110000-1-1000000000
χ2922222-12222-12-1-122-12-1-2-12-12-1-12-1-111222200-1-1-1-1-2-2-2-2111111110-2-2-1-12222-1-100111100-2-222111100-1-100-2-2111100-1-10000-1-1000000000
χ3022222-12222-12-1-122-12-1-2-12-12-1-12-1-11122-2-200-1-1-1-1-2-2-2-21111111102-2-1-122-2-2110011-1-10022-2-2-1-1-1-100-1-100-2211-1-10011000011000000000
χ3122222-12222-12-1-122-12-1-2-12-12-1-12-1-111-2-22200-1-1-1-1-2-2-2-2111111110-2211-2-222-1-100-1-1110022-2-2-1-1-1-10011002-2-1-11100-1-1000011000000000
χ3222222-12222-12-1-122-12-1-2-12-12-1-12-1-111-2-2-2-200-1-1-1-1-2-2-2-21111111102211-2-2-2-21100-1-1-1-100-2-222111100110022-1-1-1-100110000-1-1000000000
χ332222-12222-12-122-12-1-122-1-12-12-1-12-122002222-1-1-1-12-1-1-122-1-1-1-1-1-12200000-1-122-1-100222200000000-1200-1-10-100-1-1-1-1-1-1002200-1-10000-100
χ342222-12222-12-122-12-1-122-1-12-12-1-12-1220022-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2200000-1-122110022-2-2000000001-200110-100-1-111-1-100-2-200110000100
χ352222-12222-12-122-12-1-122-1-12-12-1-12-12200-2-222-1-1-1-12-1-1-122-1-1-1-1-1-12-20000011-2-2-1-100-2-22200000000-1200-1-1010011-1-11100-2-200110000100
χ362222-12222-12-122-12-1-122-1-12-12-1-12-12200-2-2-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-20000011-2-21100-2-2-2-2000000001-200110100111111002200-1-10000-100
χ372222-12222-12-122-12-1-12-2-1-12-12-1-12-1-2-2002222-1-1-1-1-2111-2-2111111-2-200000-1-122-1-100-2-222000000001-20011010011-1-1-1-1002-200-1-10000100
χ382222-12222-12-122-12-1-12-2-1-12-12-1-12-1-2-20022-2-2-1-1-1-1-2111-2-21111112-200000-1-1221100-2-2-2-200000000-1200-1-101001111-1-100-2200110000-100
χ392222-12222-12-122-12-1-12-2-1-12-12-1-12-1-2-200-2-222-1-1-1-1-2111-2-2111111-220000011-2-2-1-1002222000000001-200110-100-1-1-1-11100-2200110000-100
χ402222-12222-12-122-12-1-12-2-1-12-12-1-12-1-2-200-2-2-2-2-1-1-1-1-2111-2-2111111220000011-2-2110022-2-200000000-1200-1-10-100-1-11111002-200-1-10000100
χ412-22-2222-2-2-2-222-2-222220-2-22-2-222-2-2002-22i−2i0022-2-20000000000000002-22-22i−2i2i−2i00000000002i−2i0000002-200000000002i−2i00002i−2i000000000
χ422-22-2222-2-2-2-222-2-222220-2-22-2-222-2-2002-2−2i2i0022-2-20000000000000002-22-2−2i2i−2i2i0000000000−2i2i0000002-20000000000−2i2i0000−2i2i000000000
χ432-22-2222-2-2-2-222-2-222220-2-22-2-222-2-200-222i−2i0022-2-2000000000000000-22-222i−2i2i−2i0000000000−2i2i000000-2200000000002i−2i0000−2i2i000000000
χ442-22-2222-2-2-2-222-2-222220-2-22-2-222-2-200-22−2i2i0022-2-2000000000000000-22-22−2i2i−2i2i00000000002i−2i000000-220000000000−2i2i00002i−2i000000000
χ452-22-22-12-2-2-212-11-22-12-101-2-1-21-12113−32-22i−2i00-1-11100003−33−333−3−3000-112-22i−2i−ii003−3−i3i300002i−2i−i3−i3i3i300-1100003−3−i3i300−ii0000−ii000000000
χ462-22-22-12-2-2-212-11-22-12-101-2-1-21-12113−32-2−2i2i00-1-11100003−33−333−3−3000-112-2−2i2ii−i003−3i3−i30000−2i2ii3i3−i3−i300-1100003−3i3−i300i−i0000i−i000000000
χ472-22-22-12-2-2-212-11-22-12-101-2-1-21-12113−3-222i−2i00-1-11100003−33−333−3−30001-1-222i−2i−ii00−33−i3i30000−2i2ii3i3−i3−i3001-10000−33−i3i300−ii0000i−i000000000
χ482-22-22-12-2-2-212-11-22-12-101-2-1-21-12113−3-22−2i2i00-1-11100003−33−333−3−30001-1-22−2i2ii−i00−33i3−i300002i−2i−i3−i3i3i3001-10000−33i3−i300i−i0000−ii000000000
χ492-22-22-12-2-2-212-11-22-12-101-2-1-21-1211−332-22i−2i00-1-1110000−33−33−3−333000-112-22i−2i−ii00−33i3−i300002i−2ii3i3−i3−i300-110000−33i3−i300−ii0000−ii000000000
χ502-22-22-12-2-2-212-11-22-12-101-2-1-21-1211−332-2−2i2i00-1-1110000−33−33−3−333000-112-2−2i2ii−i00−33−i3i30000−2i2i−i3−i3i3i300-110000−33−i3i300i−i0000i−i000000000
χ512-22-22-12-2-2-212-11-22-12-101-2-1-21-1211−33-222i−2i00-1-1110000−33−33−3−3330001-1-222i−2i−ii003−3i3−i30000−2i2i−i3−i3i3i3001-100003−3i3−i300−ii0000i−i000000000
χ522-22-22-12-2-2-212-11-22-12-101-2-1-21-1211−33-22−2i2i00-1-1110000−33−33−3−3330001-1-22−2i2ii−i003−3−i3i300002i−2ii3i3−i3−i3001-100003−3−i3i300i−i0000−ii000000000
χ532-2-22222-22-2-2-2-222-2222022-2-2-2-2-22-20000002i−2i2-22-2000000000000000000000002i−2i00002i−2i2i−2i002i−2i2i−2i0000000000002i−2i0000000000002-2000
χ542-2-22222-22-2-2-2-222-2222022-2-2-2-2-22-20000002i−2i2-22-2000000000000000000000002i−2i00002i−2i−2i2i00−2i2i−2i2i0000000000002i−2i000000000000-22000
χ552-2-22222-22-2-2-2-222-2222022-2-2-2-2-22-2000000−2i2i2-22-200000000000000000000000−2i2i0000−2i2i2i−2i002i−2i2i−2i000000000000−2i2i000000000000-22000
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χ5744444-2-2-2-24-24-2-24-2-2-214-2-21-21-2-21-2-2-24400001111-24-2-211-2-21111004-2-2-2-2000000-2-2000000000000001100-2011000000000000000000000
χ5844444-2-2-2-24-24-2-24-2-2-214-2-21-21-2-21-2-2-2-4-400001111-24-2-211-2-2111100-422220000002200000000000000-1-10020-1-1000000000000000000000
χ5944444-2-2-2-24-24-2-24-2-2-21-4-2-21-21-2-21-22244000011112-422-1-122-1-1-1-100-4-2-2-2-20000002200000000000000110020-1-1000000000000000000000
χ6044444-2-2-2-24-24-2-24-2-2-21-4-2-21-21-2-21-222-4-4000011112-422-1-122-1-1-1-10042222000000-2-200000000000000-1-100-2011000000000000000000000
χ614444-24-2-2-2-24-244-2-2-21-24-21-21-2-21-2-2440000441111-2-211-2-2-2-2111140000000000-2-20000-2-200000000-2-200110000001100000000000000000
χ624444-24-2-2-2-24-244-2-2-21-24-21-21-2-21-2-2440000-4-41111-2-211-2-2-2-21111-4000000000022000022000000002200-1-1000000-1-100000000000000000
χ634444-24-2-2-2-24-244-2-2-21-2-4-21-21-2-21-2-2-4-4000044111122-1-12222-1-1-1-1-40000000000-2-20000-2-2000000002200-1-10000001100000000000000000
χ644444-24-2-2-2-24-244-2-2-21-2-4-21-21-2-21-2-2-4-40000-4-4111122-1-12222-1-1-1-1400000000002200002200000000-2-20011000000-1-100000000000000000
χ654444-2-2444-2-2-2-2-2-241-2-241-2-2-2-21-2-21-2-200440011114-2-2-2-2-21111110400000-2-2-2-20000-2-200000000000000000-200110011000000000000000
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χ684444-2-2444-2-2-2-2-2-241-2-2-41-2-2-2-21-2-212200-4-4001111-422222-1-1-1-1-1-1040000022220000-2-200000000000000000-2001100-1-1000000000000000
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χ814-44-44-2-222-424-22-4-2-2-2102212-1-2-2-12−2323-44000011-1-100003−3−232333−3−30002-22-200000023−2300000000000000-110000−33000000000000000000000
χ824-44-4-244-4-42-4-24-424-2-2402242-4-2-2-4200004i−4i00-2-2220000000000000000000−2i2i4i−4i000000000000000000000000000000−2i2i000000000000000
χ834-44-4-244-4-42-4-24-424-2-2402242-4-2-2-420000−4i4i00-2-22200000000000000000002i−2i−4i4i0000000000000000000000000000002i−2i000000000000000
χ844-44-4-2-24-4-422-2-22241-2-20-12-2221-22-123−23004i−4i0011-1-1000023−23−33−3−3330000000−2i2i−2i2i0000−2i32i300000000000000000000i3−i300i−i000000000000000
χ854-44-4-2-24-4-422-2-22241-2-20-12-2221-22-123−2300−4i4i0011-1-1000023−23−33−3−33300000002i−2i2i−2i00002i3−2i300000000000000000000−i3i300−ii000000000000000
χ864-44-4-2-24-4-422-2-22241-2-20-12-2221-22-1−2323004i−4i0011-1-10000−23233−333−3−30000000−2i2i−2i2i00002i3−2i300000000000000000000−i3i300i−i000000000000000
χ874-44-4-2-24-4-422-2-22241-2-20-12-2221-22-1−232300−4i4i0011-1-10000−23233−333−3−300000002i−2i2i−2i0000−2i32i300000000000000000000i3−i300−ii000000000000000
χ884-4-4444-22-2-4-4-4-44424-2-204-2222-42-2-40000004i−4i-22-22000000000000000000000004i−4i0000−2i2i00000000000000000000−2i2i00000000000000000
χ894-4-4444-22-2-4-4-4-44424-2-204-2222-42-2-4000000−4i4i-22-2200000000000000000000000−4i4i00002i−2i000000000000000000002i−2i00000000000000000
χ904-4-444-24-44-42-42-24-4-24-20-242-422-4-2200000000-22-2200000000000000000000000000000004i−4i00−2i2i−2i2i0000000000000000000000000000000
χ914-4-444-24-44-42-42-24-4-24-20-242-422-4-2200000000-22-220000000000000000000000000000000−4i4i002i−2i2i−2i0000000000000000000000000000000
χ924-4-44-244-442-42-44-2-4-2-240-2-2-42-422420000004i−4i-22-2200000000000000000000000−2i2i00004i−4i00000000000000000000−2i2i00000000000000000
χ934-4-44-244-442-42-44-2-4-2-240-2-2-42-42242000000−4i4i-22-22000000000000000000000002i−2i0000−4i4i000000000000000000002i−2i00000000000000000
χ944-4-44-24-22-22-42-44-22-21-20-212-122-1-220000004i−4i1-11-1003i−3i00003i−3i3i−3i00000000000−2i2i0000−2i2i0000000000003-3000000i−i00000000000000000
χ954-4-44-24-22-22-42-44-22-21-20-212-122-1-220000004i−4i1-11-100−3i3i0000−3i3i−3i3i00000000000−2i2i0000−2i2i000000000000-33000000i−i00000000000000000
χ964-4-44-24-22-22-42-44-22-21-20-212-122-1-22000000−4i4i1-11-1003i−3i00003i−3i3i−3i000000000002i−2i00002i−2i000000000000-33000000−ii00000000000000000
χ974-4-44-24-22-22-42-44-22-21-20-212-122-1-22000000−4i4i1-11-100−3i3i0000−3i3i−3i3i000000000002i−2i00002i−2i0000000000003-3000000−ii00000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-448-4-844-84-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-44-484-8-844-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-488-8-4-44444-82-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-44-4-4444442220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-4-44-4-4444442220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1058-88-8-48-4444-8-48-84-4-42-404-2-4-24-42440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44444-4-444-42220-2-22-2-222-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-44444-4-444-42220-2-22-2-222-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000
χ1088-8-888-4-44-4-84-84-484-4-420-4-4-24-24424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-884444-4-4-82-4-402-4444-24-4-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-44444-4-44222022-2-2-2-2-22-200000000-11-11006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-44444-4-44222022-2-2-2-2-22-200000000-11-1100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000

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