Finite Group Databasebeta

← Group #13168439

Character table — Group #13168439

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666663334666666666121212121212121244444444121212121212121236661212121212121212122266661212121212121212121212121212121212121212444466666612121212224466661212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-111-1-1111111-1-111-1-11111111111-1-11-111-1-111-1-11-1-1-111-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11-1-1111111-1-111-1-11111111111-1-111-11-1-111-1-111-11-1-1-1-111-1-111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ51111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-111-1-1-11-1-1-1-111-1-111-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-111-1-111-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1-11111-1-1-1-11111-11-1-11111-1-1-1-1-11-1-1-1-11111-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-111-1-1-1-11111-111111-1-1-1-1-1-11-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1-1-11111-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-1-1-111111-11-111-1-1-1-11111-1-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-111111-1-1-1-1-1-111-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-111-1-111-1-1-1-1111111111-111-1-1-1-111-1-1-11-1-1-1-11111-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-111-1-1-11111-1-111-1-11
χ17222222-12-1222-12-12-12-122-1-12-1-1-12-122-1-1-1-1-1-122220022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10200-1-122-1-1002200-1-1-1-1-1-1-1-1-1-100220200-1-100-1-1020000-1-100-1-100000
χ18222222-12-1222-12-12-12-122-1-12-1-1-12-122-1-1-1-1-1-1222200-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-2001122-1-100-2-20011-1-1-1-1-1-1-1-100-2-20-2001100110-2000011001100000
χ19222222-12-1222-12-12-12-122-1-12-1-1-12-122-1-1-1-1-1-1-2-2-2-200221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10200-1-1-2-211002200-1-11111111100-2-20200-1-100-1-10-2000011001100000
χ20222222-12-1222-12-12-12-122-1-12-1-1-12-122-1-1-1-1-1-1-2-2-2-200-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-20011-2-21100-2-200111111111100220-200110011020000-1-100-1-100000
χ21222222-12-1222-12-12-12-1-22-1-12-1-1-12-1-2-211111122-2-20022-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-200112211002200-1-1-1-1-1-1111100-2-20-2001100-1-1020000-1-1001100000
χ22222222-12-1222-12-12-12-1-22-1-12-1-1-12-1-2-211111122-2-200-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110200-1-1221100-2-20011-1-1-1-1111100220200-1-100110-200001100-1-100000
χ23222222-12-1222-12-12-12-1-22-1-12-1-1-12-1-2-2111111-2-222002211112222-1-1-1-1-2-2-21111110-20011-2-2-1-1002200-1-11111-1-1-1-100220-2001100-1-10-200001100-1-100000
χ24222222-12-1222-12-12-12-1-22-1-12-1-1-12-1-2-2111111-2-22200-2-211112222-1-1-1-1-2-2-21111110200-1-1-2-2-1-100-2-200111111-1-1-1-100-2-20200-1-10011020000-1-1001100000
χ2522222-12-1222-12-122-1-122-12-1-12-1-1-12-1-122-1-1-1-1222222002222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-100-1-1222200-1-100-1-1-1-1-1-1-1-1220020-1-100-1-1002000-1-100-1-10000000
χ2622222-12-1222-12-122-1-122-12-1-12-1-1-12-1-122-1-1-1-12222-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-201100-1-122-2-2001100-1-1-1-1-1-1-1-1-2-200-2011001100-20001100110000000
χ2722222-12-1222-12-122-1-122-12-1-12-1-1-12-1-122-1-1-1-1-2-2-2-22200-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-1-10011-2-22200-1-10011111111-2-20020-1-100-1-100-20001100110000000
χ2822222-12-1222-12-122-1-122-12-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20110011-2-2-2-2001100111111112200-20110011002000-1-100-1-10000000
χ2922222-12-1222-12-122-1-12-2-12-1-12-1-1-1211-2-2111122-2-2220022221111-1-1-1-1-211-2-21111-201100-1-1-2-22200-1-100-1-1-1-111112200-201100-1-100-20001100-1-10000000
χ3022222-12-1222-12-122-1-12-2-12-1-12-1-1-1211-2-2111122-2-2-2-20022221111-1-1-1-1-211-2-2111120-1-100-1-1-2-2-2-2001100-1-1-1-11111-2-20020-1-10011002000-1-100110000000
χ3122222-12-1222-12-122-1-12-2-12-1-12-1-1-1211-2-21111-2-2222200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20110011222200-1-1001111-1-1-1-1-2-200-201100-1-1002000-1-100110000000
χ3222222-12-1222-12-122-1-12-2-12-1-12-1-1-1211-2-21111-2-222-2-200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-1-1001122-2-20011001111-1-1-1-1220020-1-1001100-20001100-1-10000000
χ332222-12222-1-12222-12-1-12-1-12-1-122-1-1222222220000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12222220000-1-1-1-12222000000000000-1-1-1-1-1-1-1-1-1-1002200000000-1-1-100
χ342222-12222-1-12222-12-1-12-1-12-1-122-1-122222222000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-2-20000-1-11122-2-2000000000000-11-1-111-1-11100-2-20000000011100
χ352222-12222-1-12222-12-1-12-1-12-1-122-1-1222222220000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-222000011-1-1-2-2220000000000001-111-1-111-1-100-2-20000000011100
χ362222-12222-1-12222-12-1-12-1-12-1-122-1-1222222220000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200001111-2-2-2-20000000000001111111111002200000000-1-1-100
χ372222-12222-1-12222-12-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000222200000000-1-1-1-1111111111-2-2-2-2-2-20000-1-1-1-12222000000000000111111-1-1-1-1002-200000000-1-1100
χ382222-12222-1-12222-12-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2000022-2-200000000-1-1-1-1111111111-22-2-2220000-1-11122-2-20000000000001-111-1-1-1-11100-220000000011-100
χ392222-12222-1-12222-12-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000-2-22200000000-1-1-1-11111111112-222-2-2000011-1-1-2-222000000000000-11-1-11111-1-100-220000000011-100
χ402222-12222-1-12222-12-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000-2-2-2-200000000-1-1-1-111111111122222200001111-2-2-2-2000000000000-1-1-1-1-1-11111002-200000000-1-1100
χ4122-2-2222-2-22-22-2-22-222202-2-2-2-22-2-22000000002-2002i−2i0022-2-2000022-2-20000000000000002-2002i−2i002i−2i0022-2-200002i−2i000000002i−2i00000000002i−2i0000000
χ4222-2-2222-2-22-22-2-22-222202-2-2-2-22-2-22000000002-200−2i2i0022-2-2000022-2-20000000000000002-200−2i2i00−2i2i0022-2-20000−2i2i00000000−2i2i0000000000−2i2i0000000
χ4322-2-2222-2-22-22-2-22-222202-2-2-2-22-2-2200000000-22002i−2i00-2-222000022-2-2000000000000000-22002i−2i002i−2i00-2-2220000−2i2i000000002i−2i0000000000−2i2i0000000
χ4422-2-2222-2-22-22-2-22-222202-2-2-2-22-2-2200000000-2200−2i2i00-2-222000022-2-2000000000000000-2200−2i2i00−2i2i00-2-22200002i−2i00000000−2i2i00000000002i−2i0000000
χ4522-2-22-121-22-2-1-212-2-1-120-1-211-2-11123−30033−3−32-2002i−2i0022-2-233−3−3-1-11103−30033−3−300−i3i300-11002i−2i00−ii00-1-11133−3−32i−2i0000−i3i300−ii000000−i3i300−ii0000000
χ4622-2-22-121-22-2-1-212-2-1-120-1-211-2-11123−30033−3−32-200−2i2i0022-2-233−3−3-1-11103−30033−3−300i3−i300-1100−2i2i00i−i00-1-11133−3−3−2i2i0000i3−i300i−i000000i3−i300i−i0000000
χ4722-2-22-121-22-2-1-212-2-1-120-1-211-2-11123−30033−3−3-22002i−2i00-2-222−3−333-1-11103−30033−3−300−i3i3001-1002i−2i00−ii0011-1-1−3−333−2i2i0000−i3i300−ii000000i3−i300i−i0000000
χ4822-2-22-121-22-2-1-212-2-1-120-1-211-2-11123−30033−3−3-2200−2i2i00-2-222−3−333-1-11103−30033−3−300i3−i3001-100−2i2i00i−i0011-1-1−3−3332i−2i0000i3−i300i−i000000−i3i300−ii0000000
χ4922-2-22-121-22-2-1-212-2-1-120-1-211-2-1112−3300−3−3332-2002i−2i0022-2-2−3−333-1-1110−3300−3−33300i3−i300-11002i−2i00−ii00-1-111−3−3332i−2i0000i3−i300−ii000000i3−i300−ii0000000
χ5022-2-22-121-22-2-1-212-2-1-120-1-211-2-1112−3300−3−3332-200−2i2i0022-2-2−3−333-1-1110−3300−3−33300−i3i300-1100−2i2i00i−i00-1-111−3−333−2i2i0000−i3i300i−i000000−i3i300i−i0000000
χ5122-2-22-121-22-2-1-212-2-1-120-1-211-2-1112−3300−3−333-22002i−2i00-2-22233−3−3-1-1110−3300−3−33300i3−i3001-1002i−2i00−ii0011-1-133−3−3−2i2i0000i3−i300−ii000000−i3i300i−i0000000
χ5222-2-22-121-22-2-1-212-2-1-120-1-211-2-1112−3300−3−333-2200−2i2i00-2-22233−3−3-1-1110−3300−3−33300−i3i3001-100−2i2i00i−i0011-1-133−3−32i−2i0000−i3i300i−i000000i3−i300−ii0000000
χ532-22-2222-2-2-22-222-2-22220-22-2-2-2-222-200000000002-2002i−2i00002-22-22-22-2000000000000000002-2002i−2i002i−2i00002-22-2002i−2i000000002i−2i00000000002i−2i00000
χ542-22-2222-2-2-22-222-2-22220-22-2-2-2-222-200000000002-200−2i2i00002-22-22-22-2000000000000000002-200−2i2i00−2i2i00002-22-200−2i2i00000000−2i2i0000000000−2i2i00000
χ552-22-2222-2-2-22-222-2-22220-22-2-2-2-222-20000000000-22002i−2i0000-22-222-22-200000000000000000-22002i−2i002i−2i0000-22-2200−2i2i000000002i−2i0000000000−2i2i00000
χ562-22-2222-2-2-22-222-2-22220-22-2-2-2-222-20000000000-2200−2i2i0000-22-222-22-200000000000000000-2200−2i2i00−2i2i0000-22-22002i−2i00000000−2i2i00000000002i−2i00000
χ572-22-222-1-21-22-2-121-2-12-10-2-11-211-121003−33−33−3002-2002i−2i3−33−32-22-2-11-110003−33−33−30000−i3i300-11002i−2i00−ii3−33−3-11-11002i−2i0000−i3i300−ii000000−i3i300−ii00000
χ582-22-222-1-21-22-2-121-2-12-10-2-11-211-121003−33−33−3002-200−2i2i3−33−32-22-2-11-110003−33−33−30000i3−i300-1100−2i2i00i−i3−33−3-11-1100−2i2i0000i3−i300i−i000000i3−i300i−i00000
χ592-22-222-1-21-22-2-121-2-12-10-2-11-211-121003−33−33−300-22002i−2i−33−33-22-22-11-110003−33−33−30000−i3i3001-1002i−2i00−ii−33−331-11-100−2i2i0000−i3i300−ii000000i3−i300i−i00000
χ602-22-222-1-21-22-2-121-2-12-10-2-11-211-121003−33−33−300-2200−2i2i−33−33-22-22-11-110003−33−33−30000i3−i3001-100−2i2i00i−i−33−331-11-1002i−2i0000i3−i300i−i000000−i3i300−ii00000
χ612-22-222-1-21-22-2-121-2-12-10-2-11-211-12100−33−33−33002-2002i−2i−33−332-22-2-11-11000−33−33−330000i3−i300-11002i−2i00−ii−33−33-11-11002i−2i0000i3−i300−ii000000i3−i300−ii00000
χ622-22-222-1-21-22-2-121-2-12-10-2-11-211-12100−33−33−33002-200−2i2i−33−332-22-2-11-11000−33−33−330000−i3i300-1100−2i2i00i−i−33−33-11-1100−2i2i0000−i3i300i−i000000−i3i300i−i00000
χ632-22-222-1-21-22-2-121-2-12-10-2-11-211-12100−33−33−3300-22002i−2i3−33−3-22-22-11-11000−33−33−330000i3−i3001-1002i−2i00−ii3−33−31-11-100−2i2i0000i3−i300−ii000000−i3i300i−i00000
χ642-22-222-1-21-22-2-121-2-12-10-2-11-211-12100−33−33−3300-2200−2i2i3−33−3-22-22-11-11000−33−33−330000−i3i3001-100−2i2i00i−i3−33−31-11-1002i−2i0000−i3i300i−i000000i3−i300−ii00000
χ6544444-2-2-2-244-2-2-2-241-2-24-2-21-2-211-2-2-2-2-2-2111144440000-2-2-2-2-2-2-2-211114-2-2-2-21111000000-2-2-2-200000000111111110000000000000000000000000000000
χ6644444-2-2-2-244-2-2-2-241-2-24-2-21-2-211-2-2-2-2-2-21111-4-4-4-400002222222211114-2-2-2-21111000000222200000000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ6744444-2-2-2-244-2-2-2-241-2-2-4-2-21-2-211-2-22222-1-1-1-144-4-40000-2-2-2-222221111-42222-1-1-1-1000000-2-222000000001111-1-1-1-10000000000000000000000000000000
χ6844444-2-2-2-244-2-2-2-241-2-2-4-2-21-2-211-2-22222-1-1-1-1-4-44400002222-2-2-2-21111-42222-1-1-1-100000022-2-200000000-1-1-1-111110000000000000000000000000000000
χ694444-24-24-2-2-24-24-2-2-2-214-21-2-21-2-2-2144-2-2-2-2-2-200000044000000001111-2-2-21111110400-2-2000000-2-200-2-20000000000000-20011001100000000000000000
χ704444-24-24-2-2-24-24-2-2-2-214-21-2-21-2-2-2144-2-2-2-2-2-2000000-4-4000000001111-2-2-21111110-400220000002200220000000000000200-1-100-1-100000000000000000
χ714444-24-24-2-2-24-24-2-2-2-21-4-21-2-21-2-2-21-4-422222200000044000000001111222-1-1-1-1-1-10-40022000000-2-200-2-20000000000000200-1-1001100000000000000000
χ724444-24-24-2-2-24-24-2-2-2-21-4-21-2-21-2-2-21-4-4222222000000-4-4000000001111222-1-1-1-1-1-10400-2-20000002200220000000000000-2001100-1-100000000000000000
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Here i is the imaginary unit (i² = −1).