Finite Group Databasebeta

← Group #13169320

Character table — Group #13169320

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order1222333666666666333466666666612121212121212124444444412121212121212123666121212121212121212441212121212121212121212121212121212121212121212124444121212121212121212124444121212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1111111111111111111111111-111-1-111-1-1111111-1-11111111111-1-11-111-1-111-1-11-1-1-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-11111111111111111111111111-11-1-111-1-1111111-1-11111111111-1-111-11-1-111-1-111-11-1-1-1-111-1-111-1-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-11-1-1-1-111-1-111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-111-1-111-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1-1-1-1111111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111111111-1-1-1-11111-111111-1-1-1-1-1-1-11-1-11111-1-1-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1111-1-1-1-111-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-11-11-11111-1-1-1-111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111-11-11111-1-1-1-111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1111-1-1-1-111-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-11-1-11111-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-111-1-1-1-1-1111111-1-11
χ17222222-122-122-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-122002222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-102002200-1-122-1-100-1-1-1-1-1-1-1-1-1-100220200-1-100-1-1020000-1-100-1-100000
χ18222222-122-122-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-12200-2-222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-200-2-2001122-1-10011-1-1-1-1-1-1-1-100-2-20-2001100110-2000011001100000
χ19222222-122-122-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-1-2-20022-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-102002200-1-1-2-21100-1-11111111100-2-20200-1-100-1-10-2000011001100000
χ20222222-122-122-12-122-1-122-1-12-1-1-12-122-1-1-1-1-1-1-2-200-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-200-2-20011-2-21100111111111100220-200110011020000-1-100-1-100000
χ21222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2111111220022-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-2002200-1-122110011-1-1-1-1111100-2-20-2001100-1-10200001100-1-100000
χ22222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-21111112200-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110200-2-20011221100-1-1-1-1-1-1111100220200-1-100110-20000-1-1001100000
χ23222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2111111-2-200222211112222-1-1-1-1-2-2-21111110-2002200-1-1-2-2-1-100111111-1-1-1-100220-2001100-1-10-20000-1-1001100000
χ24222222-122-122-12-122-1-1-22-1-12-1-1-12-1-2-2111111-2-200-2-22211112222-1-1-1-1-2-2-21111110200-2-20011-2-2-1-100-1-11111-1-1-1-100-2-20200-1-100110200001100-1-100000
χ2522222-122-122-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-1222200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1202200-1-100-1-122-1-100-1-1-1-1-1-1-1-1220020-1-100-1-1002000-1-100-1-10000000
χ2622222-122-122-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-122-2-200222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20-2-2001100-1-1221100-1-1-1-1-1-1-1-1-2-200-2011001100-20001100110000000
χ2722222-122-122-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-1-2-22200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1202200-1-10011-2-2-1-10011111111-2-20020-1-100-1-100-20001100110000000
χ2822222-122-122-12-122-12-12-12-1-12-1-1-12-1-122-1-1-1-1-2-2-2-200-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-2-200110011-2-21100111111112200-20110011002000-1-100-1-10000000
χ2922222-122-122-12-122-12-1-2-12-1-12-1-1-1211-2-21111222200-2-222221111-1-1-1-1-211-2-21111-2022001100-1-1-2-2-1-100-1-1-1-111112200-20-1-1001100-20001100-1-10000000
χ3022222-122-122-12-122-12-1-2-12-1-12-1-1-1211-2-2111122-2-200-2-222221111-1-1-1-1-211-2-2111120-2-200-1-100-1-1-2-21100-1-1-1-11111-2-200201100-1-1002000-1-100110000000
χ3122222-122-122-12-122-12-1-2-12-1-12-1-1-1211-2-21111-2-2220022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20220011001122-1-1001111-1-1-1-1-2-200-20-1-10011002000-1-100110000000
χ3222222-122-122-12-122-12-1-2-12-1-12-1-1-1211-2-21111-2-2-2-20022-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-2-200-1-100112211001111-1-1-1-12200201100-1-100-20001100-1-10000000
χ332222-122-122-12222-1-1-122-1-12-1-122-1-1222222220022220000000000-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222200002222000000000000-1-1-1-1-1-1-1-1-1-1002200000000-1-1-100
χ342222-122-122-12222-1-1-122-1-12-1-122-1-1222222220022-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-11122-2-2000022-2-2000000000000-11-1-111-1-11100-2-20000000011100
χ352222-122-122-12222-1-1-122-1-12-1-122-1-12222222200-2-2220000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-1-1-2-2220000-2-2220000000000001-111-1-111-1-100-2-20000000011100
χ362222-122-122-12222-1-1-122-1-12-1-122-1-12222222200-2-2-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-20000-2-2-2-20000000000001111111111002200000000-1-1-100
χ372222-122-122-12222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20022220000000000-1-1-1-1111111111-2-2-1-1-1-1-2-222000022-2-200000000000011-1-11111-1-1002-200000000-1-1100
χ382222-122-122-12222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20022-2-20000000000-1-1-1-1111111111-22-1-111-2-2-2-2000022220000000000001-1-1-1-1-1111100-220000000011-100
χ392222-122-122-12222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-2-2220000000000-1-1-1-11111111112-211-1-122220000-2-2-2-2000000000000-111111-1-1-1-100-220000000011-100
χ402222-122-122-12222-1-1-12-2-1-12-1-122-1-1-2-2-2-2-2-2-2-200-2-2-2-20000000000-1-1-1-111111111122111122-2-20000-2-222000000000000-1-111-1-1-1-111002-200000000-1-1100
χ4122-2-22222-22-2-2-22-2-22220-22-22-22-2-2-2000000002-22-2000022-2-2000022-2-2000000000002-20000002-2002-20022-2-200002-200002-2000000000000002-20000000
χ4222-2-22222-22-2-2-22-2-22220-22-22-22-2-2-2000000002-2-22000022-2-2000022-2-200000000000-220000002-200-220022-2-20000-220000-2200000000000000-220000000
χ4322-2-22222-22-2-2-22-2-22220-22-22-22-2-2-200000000-222-20000-2-222000022-2-2000000000002-2000000-22002-200-2-2220000-2200002-200000000000000-220000000
χ4422-2-22222-22-2-2-22-2-22220-22-22-22-2-2-200000000-22-220000-2-222000022-2-200000000000-22000000-2200-2200-2-22200002-20000-22000000000000002-20000000
χ4522-2-22-12212-21-2-1-2-2-12-10121-1-2-111-23−30033−3−32-22-2000022-2-233−3−3-1-11103−30033−3−3002-2003−300-1100-1100-1-11133−3−32-20000-11003−30000003−300-110000000
χ4622-2-22-12212-21-2-1-2-2-12-10121-1-2-111-23−30033−3−32-2-22000022-2-233−3−3-1-11103−30033−3−300-2200−3300-11001-100-1-11133−3−3-2200001-100−33000000−33001-10000000
χ4722-2-22-12212-21-2-1-2-2-12-10121-1-2-111-23−30033−3−3-222-20000-2-222−3−333-1-11103−30033−3−3002-2003−3001-100-110011-1-1−3−333-220000-11003−3000000−33001-10000000
χ4822-2-22-12212-21-2-1-2-2-12-10121-1-2-111-23−30033−3−3-22-220000-2-222−3−333-1-11103−30033−3−300-2200−33001-1001-10011-1-1−3−3332-200001-100−330000003−300-110000000
χ4922-2-22-12212-21-2-1-2-2-12-10121-1-2-111-2−3300−3−3332-22-2000022-2-2−3−333-1-1110−3300−3−333002-200−3300-1100-1100-1-111−3−3332-20000-1100−33000000−3300-110000000
χ5022-2-22-12212-21-2-1-2-2-12-10121-1-2-111-2−3300−3−3332-2-22000022-2-2−3−333-1-1110−3300−3−33300-22003−300-11001-100-1-111−3−333-2200001-1003−30000003−3001-10000000
χ5122-2-22-12212-21-2-1-2-2-12-10121-1-2-111-2−3300−3−333-222-20000-2-22233−3−3-1-1110−3300−3−333002-200−33001-100-110011-1-133−3−3-220000-1100−330000003−3001-10000000
χ5222-2-22-12212-21-2-1-2-2-12-10121-1-2-111-2−3300−3−333-22-220000-2-22233−3−3-1-1110−3300−3−33300-22003−3001-1001-10011-1-133−3−32-200001-1003−3000000−3300-110000000
χ532-2-22222-22-2-2-2-2-22222202-2-2-22-22-2-20000000000002i−2i2-200002-22-22-22-200000000000002i−2i002i−2i002-2000000002-22-2002i−2i000000002i−2i0000002i−2i000000000
χ542-2-22222-22-2-2-2-2-22222202-2-2-22-22-2-20000000000002i−2i-220000-22-222-22-200000000000002i−2i002i−2i00-2200000000-22-2200−2i2i000000002i−2i000000−2i2i000000000
χ552-2-22222-22-2-2-2-2-22222202-2-2-22-22-2-2000000000000−2i2i2-200002-22-22-22-20000000000000−2i2i00−2i2i002-2000000002-22-200−2i2i00000000−2i2i000000−2i2i000000000
χ562-2-22222-22-2-2-2-2-22222202-2-2-22-22-2-2000000000000−2i2i-220000-22-222-22-20000000000000−2i2i00−2i2i00-2200000000-22-22002i−2i00000000−2i2i0000002i−2i000000000
χ572-2-2222-1-221-2-21-2-122-1-10211-2-11-1-21003−33−33−300002i−2i2-23−33−32-22-2-11-110003−33−33−300002i−2i00−ii00-1100−i3i33−33−3-11-11002i−2i0000−i3i300−ii000000−ii00−i3i300000
χ582-2-2222-1-221-2-21-2-122-1-10211-2-11-1-21003−33−33−300002i−2i-22−33−33-22-22-11-110003−33−33−300002i−2i00−ii001-100−i3i3−33−331-11-100−2i2i0000−i3i300−ii000000i−i00i3−i300000
χ592-2-2222-1-221-2-21-2-122-1-10211-2-11-1-21003−33−33−30000−2i2i2-23−33−32-22-2-11-110003−33−33−30000−2i2i00i−i00-1100i3−i33−33−3-11-1100−2i2i0000i3−i300i−i000000i−i00i3−i300000
χ602-2-2222-1-221-2-21-2-122-1-10211-2-11-1-21003−33−33−30000−2i2i-22−33−33-22-22-11-110003−33−33−30000−2i2i00i−i001-100i3−i3−33−331-11-1002i−2i0000i3−i300i−i000000−ii00−i3i300000
χ612-2-2222-1-221-2-21-2-122-1-10211-2-11-1-2100−33−33−3300002i−2i2-2−33−332-22-2-11-11000−33−33−3300002i−2i00−ii00-1100i3−i3−33−33-11-11002i−2i0000i3−i300−ii000000−ii00i3−i300000
χ622-2-2222-1-221-2-21-2-122-1-10211-2-11-1-2100−33−33−3300002i−2i-223−33−3-22-22-11-11000−33−33−3300002i−2i00−ii001-100i3−i33−33−31-11-100−2i2i0000i3−i300−ii000000i−i00−i3i300000
χ632-2-2222-1-221-2-21-2-122-1-10211-2-11-1-2100−33−33−330000−2i2i2-2−33−332-22-2-11-11000−33−33−330000−2i2i00i−i00-1100−i3i3−33−33-11-1100−2i2i0000−i3i300i−i000000i−i00−i3i300000
χ642-2-2222-1-221-2-21-2-122-1-10211-2-11-1-2100−33−33−330000−2i2i-223−33−3-22-22-11-11000−33−33−330000−2i2i00i−i001-100−i3i33−33−31-11-1002i−2i0000−i3i300i−i000000−ii00i3−i300000
χ6544444-2-24-2-24-2-2-2-24-2-214-2-21-2-211-2-2-2-2-2-2111144000044-2-2-2-2-2-2-2-211114-2-2-2-211110000000000-2-2-2-20000111111110000000000000000000000000000000
χ6644444-2-24-2-24-2-2-2-24-2-214-2-21-2-211-2-2-2-2-2-21111-4-40000-4-42222222211114-2-2-2-21111000000000022220000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ6744444-2-24-2-24-2-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-1440000-4-4-2-2-2-222221111-42222-1-1-1-10000000000-2-22200001111-1-1-1-10000000000000000000000000000000
χ6844444-2-24-2-24-2-2-2-24-2-21-4-2-21-2-211-2-22222-1-1-1-1-4-40000442222-2-2-2-21111-42222-1-1-1-1000000000022-2-20000-1-1-1-111110000000000000000000000000000000
χ694444-24-2-24-2-24-24-2-2-21-24-21-2-21-2-2-2144-2-2-2-2-2-200004400000000001111-2-2-21111110400-2-200-2-2000000-2-20000000000000-20011001100000000000000000
χ704444-24-2-24-2-24-24-2-2-21-24-21-2-21-2-2-2144-2-2-2-2-2-20000-4-400000000001111-2-2-21111110-400220022000000220000000000000200-1-100-1-100000000000000000
χ714444-24-2-24-2-24-24-2-2-21-2-4-21-2-21-2-2-21-4-422222200004400000000001111222-1-1-1-1-1-10-400-2-200-2-2000000220000000000000200-1-1001100000000000000000
χ724444-24-2-24-2-24-24-2-2-21-2-4-21-2-21-2-2-21-4-42222220000-4-400000000001111222-1-1-1-1-1-10400220022000000-2-20000000000000-2001100-1-100000000000000000
χ734444-2-24-2-24-2-24-24-21-2-241-2-21-2-2-21-2-2-244-2-2-2-200440000000000001111-211-2-2111140-2-200-2-2000000-2-200000000000000-201100110000000000000000000
χ744444-2-24-2-24-2-24-24-21-2-241-2-21-2-2-21-2-2-244-2-2-2-200-4-40000000000001111-211-2-21111-40220022000000220000000000000020-1-100-1-10000000000000000000
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χ11688-8-8-4-4-4-44-4444-4442220-22-22-22-2-2-2−4343002323−23−230000000000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
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χ1238-8-88-4-4-44-444444-4-422202-2-2-22-22-2-200−434323−2323−230000000000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000

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