Finite Group Databasebeta

← Group #13168720

Character table — Group #13168720

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666663334666666666121212121212121222444444121212121212121236661212121212121212124466661212121212121212121212121212121212121212224466121212121212121244446612121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-1111111-1-11111-1-1-1-11111111111-1-1111-111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-11-1-1-1-111-1-111-1-1-111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111-11-1-1-1-11111-1-111111111111111-1-111-1-1-11-1-11111-11-1-1-1-111-1-111-1-1-1-1-1
χ61111111111111111111111111111111111111-1-11111-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111111-1-1-111-1-111-1-1-1-1-111
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111-111-111-1-1-1-11111-11-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-111111-1-1-1-1-1-11-11
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111-11-1-1-11111-1-111-1-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-11-1-111-1-111-11-1-1-1-11111-1-111-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-11-1-1-1-11111-1-11-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1111111-1-11-11-1-1-11111-1-111-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-11-111-1-111-1-1-111111-1-1-1-1-1-111-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111-111-1-1-1-11111-1-11
χ17222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1222222002222-1-1-1-1-1-1-1-12-1-122-1-1-1-12022-1-1-1-100-1-1220000-1-1-1-1-1-1-1-12200-1-120-1-100002000-1-100-1-10000000
χ18222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-122-2-2-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-12022-1-11100-1-1-2-2000011111111-2-200-1-120-1-10000-20001100110000000
χ19222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-22222002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20-2-211-1-10011220000-1-1-1-1-1-1-1-1-2-20011-20110000-20001100110000000
χ20222222-12-12-1222-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-2-211110011-2-2000011111111220011-201100002000-1-100-1-10000000
χ21222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-211112222-2-20022221111-1-1-1-1-211-2-21111-2022-1-1-1-10011-2-20000-1-1-1-111112200-1-1-20110000-2000-1-100110000000
χ22222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-2111122-2-22200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-2022-1-11100112200001111-1-1-1-1-2-200-1-1-2011000020001100-1-10000000
χ23222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-21111-2-222-2-20022221111-1-1-1-1-211-2-2111120-2-211-1-100-1-1-2-20000-1-1-1-11111-2-2001120-1-1000020001100-1-10000000
χ24222222-12-12-1222-122-1-1-22-1-1-12-1-1-1211-2-21111-2-2-2-22200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-2-2111100-1-12200001111-1-1-1-122001120-1-10000-2000-1-100110000000
χ2522222-12-1222-1222-1-12-12-1-12-1-122-1-1222222222200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1220022220022-1-1000000000000-1-1-1-1-1-1-1-1-1-1002200000000-1-1-100
χ2622222-12-1222-1222-1-12-12-1-12-1-122-1-122222222220000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-1-12200-2-22200-2-211000000000000-1-1-11-1-1111100-2-20000000011100
χ2722222-12-1222-1222-1-12-12-1-12-1-122-1-122222222-2-200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2211-2-20022-2-20022-1-1000000000000111-111-1-1-1-100-2-20000000011100
χ2822222-12-1222-1222-1-12-12-1-12-1-122-1-122222222-2-20000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-200-2-2-2-200-2-2110000000000001111111111002200000000-1-1-100
χ2922222-12-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-22200002200000000-1-1-1-1111111111-2-2-1-1220022-2-200-2-2-1-1000000000000-1-1111111-1-1002-200000000-1-1100
χ3022222-12-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2220000-2-200000000-1-1-1-1111111111-22-1-12200-2-2-2-2002211000000000000-1-11-111-1-11100-220000000011-100
χ3122222-12-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-200002200000000-1-1-1-11111111112-211-2-200222200-2-2-1-100000000000011-11-1-111-1-100-220000000011-100
χ3222222-12-1222-1222-1-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-20000-2-200000000-1-1-1-11111111112211-2-200-2-22200221100000000000011-1-1-1-1-1-111002-200000000-1-1100
χ332222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-100222222-1-1-1-12222-1-1-1-1222-1-1-1-1-1-102000022-1-100-1-1-1-122-1-1-1-1-1-1-1-10022000200-1-1-1-1020000-1-100-1-100000
χ342222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-1002222-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-20000221100-1-111-2-2-1-1-1-1-1-1-1-100-2-2000-20011110-2000011001100000
χ352222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-100-2-2-2-2221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1020000-2-2-1-10011-1-1221111111100-2-2000200-1-1-1-10-2000011001100000
χ362222-12222-122-1-122-1-122-12-12-1-1-12-122-1-1-1-1-1-100-2-2-2-2-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-20000-2-211001111-2-2111111110022000-2001111020000-1-100-1-100000
χ372222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-21111110022-2-222-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-2000022-1-100111122-1-1-1-1111100-2-2000-20011-1-10200001100-1-100000
χ382222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-21111110022-2-2-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-211111102000022110011-1-1-2-2-1-1-1-111110022000200-1-1110-20000-1-1001100000
χ392222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-211111100-2-2222211112222-1-1-1-1-2-2-21111110-20000-2-2-1-100-1-111221111-1-1-1-10022000-20011-1-10-20000-1-1001100000
χ402222-12222-122-1-122-1-12-2-12-12-1-1-12-1-2-211111100-2-222-2-211112222-1-1-1-1-2-2-2111111020000-2-21100-1-1-1-1-2-21111-1-1-1-100-2-2000200-1-1110200001100-1-100000
χ4122-2-22222-222-2-2-2-2-2222022-2-2-22-2-2-2000000002-22-2000022-2-2000022-2-2000000000002-22-22-2000000000022-2-200002-2002-20000000000002-200000000000
χ4222-2-22222-222-2-2-2-2-2222022-2-2-22-2-2-2000000002-2-220000-2-222000022-2-2000000000002-22-2-220000000000-2-2220000-22002-2000000000000-2200000000000
χ4322-2-22222-222-2-2-2-2-2222022-2-2-22-2-2-200000000-222-2000022-2-2000022-2-200000000000-22-222-2000000000022-2-20000-2200-22000000000000-2200000000000
χ4422-2-22222-222-2-2-2-2-2222022-2-2-22-2-2-200000000-22-220000-2-222000022-2-200000000000-22-22-220000000000-2-22200002-200-220000000000002-200000000000
χ4522-2-222-1212-1-2-2-21-22-1-102-111-2-111-23−30033−3−32-22-2000022-2-233−3−3-1-11103−30033−3−3002-2-11-11003−3000000-1-11133−3−32-200-11003−300000000-11003−30000000
χ4622-2-222-1212-1-2-2-21-22-1-102-111-2-111-23−30033−3−32-2-220000-2-222−3−333-1-11103−30033−3−3002-2-111-1003−300000011-1-1−3−333-2200-11003−3000000001-100−330000000
χ4722-2-222-1212-1-2-2-21-22-1-102-111-2-111-23−30033−3−3-222-2000022-2-233−3−3-1-11103−30033−3−300-221-1-1100−33000000-1-11133−3−3-22001-100−33000000001-100−330000000
χ4822-2-222-1212-1-2-2-21-22-1-102-111-2-111-23−30033−3−3-22-220000-2-222−3−333-1-11103−30033−3−300-221-11-100−3300000011-1-1−3−3332-2001-100−3300000000-11003−30000000
χ4922-2-222-1212-1-2-2-21-22-1-102-111-2-111-2−3300−3−3332-22-2000022-2-2−3−333-1-1110−3300−3−333002-2-11-1100−33000000-1-111−3−3332-200-1100−3300000000-1100−330000000
χ5022-2-222-1212-1-2-2-21-22-1-102-111-2-111-2−3300−3−3332-2-220000-2-22233−3−3-1-1110−3300−3−333002-2-111-100−3300000011-1-133−3−3-2200-1100−33000000001-1003−30000000
χ5122-2-222-1212-1-2-2-21-22-1-102-111-2-111-2−3300−3−333-222-2000022-2-2−3−333-1-1110−3300−3−33300-221-1-11003−3000000-1-111−3−333-22001-1003−3000000001-1003−30000000
χ5222-2-222-1212-1-2-2-21-22-1-102-111-2-111-2−3300−3−333-22-220000-2-22233−3−3-1-1110−3300−3−33300-221-11-1003−300000011-1-133−3−32-2001-1003−300000000-1100−330000000
χ532-22-2222-2-2-2-22-222-22220-2-2-2-22-222-20000000000002-22i−2i00002-22-22-22-2000000000000000002i−2i002-2002i−2i00002-22-2002i−2i000000002i−2i0000002i−2i000000000
χ542-22-2222-2-2-2-22-222-22220-2-2-2-22-222-20000000000002-2−2i2i00002-22-22-22-200000000000000000−2i2i002-200−2i2i00002-22-200−2i2i00000000−2i2i000000−2i2i000000000
χ552-22-2222-2-2-2-22-222-22220-2-2-2-22-222-2000000000000-222i−2i0000-22-222-22-2000000000000000002i−2i00-22002i−2i0000-22-2200−2i2i000000002i−2i000000−2i2i000000000
χ562-22-2222-2-2-2-22-222-22220-2-2-2-22-222-2000000000000-22−2i2i0000-22-222-22-200000000000000000−2i2i00-2200−2i2i0000-22-22002i−2i00000000−2i2i0000002i−2i000000000
χ572-22-2-122-2-21-221-12-2-1-1201-21-2-11-121003−33−33−300002-22i−2i3−33−32-22-2-11-110003−33−33−300000000−ii00-11−i3i32i−2i3−33−3-11-11002i−2i000000−i3i3−ii000000−ii00−i3i300000
χ582-22-2-122-2-21-221-12-2-1-1201-21-2-11-121003−33−33−300002-2−2i2i3−33−32-22-2-11-110003−33−33−300000000i−i00-11i3−i3−2i2i3−33−3-11-1100−2i2i000000i3−i3i−i000000i−i00i3−i300000
χ592-22-2-122-2-21-221-12-2-1-1201-21-2-11-121003−33−33−30000-222i−2i−33−33-22-22-11-110003−33−33−300000000−ii001-1−i3i32i−2i−33−331-11-100−2i2i000000−i3i3−ii000000i−i00i3−i300000
χ602-22-2-122-2-21-221-12-2-1-1201-21-2-11-121003−33−33−30000-22−2i2i−33−33-22-22-11-110003−33−33−300000000i−i001-1i3−i3−2i2i−33−331-11-1002i−2i000000i3−i3i−i000000−ii00−i3i300000
χ612-22-2-122-2-21-221-12-2-1-1201-21-2-11-12100−33−33−3300002-22i−2i−33−332-22-2-11-11000−33−33−3300000000−ii00-11i3−i32i−2i−33−33-11-11002i−2i000000i3−i3−ii000000−ii00i3−i300000
χ622-22-2-122-2-21-221-12-2-1-1201-21-2-11-12100−33−33−3300002-2−2i2i−33−332-22-2-11-11000−33−33−3300000000i−i00-11−i3i3−2i2i−33−33-11-1100−2i2i000000−i3i3i−i000000i−i00−i3i300000
χ632-22-2-122-2-21-221-12-2-1-1201-21-2-11-12100−33−33−330000-222i−2i3−33−3-22-22-11-11000−33−33−3300000000−ii001-1i3−i32i−2i3−33−31-11-100−2i2i000000i3−i3−ii000000i−i00−i3i300000
χ642-22-2-122-2-21-221-12-2-1-1201-21-2-11-12100−33−33−330000-22−2i2i3−33−3-22-22-11-11000−33−33−3300000000i−i001-1−i3i3−2i2i3−33−31-11-1002i−2i000000−i3i3i−i000000−ii00i3−i300000
χ6544444-2-2-2-24-2-244-2-2-2-214-21-21-2-2-21-2-2-244-2-2-2-244000000000000001111-211-2-2111140-2-2-2-20000-2-200000000000000000011-2011000000000000000000000
χ6644444-2-2-2-24-2-244-2-2-2-214-21-21-2-2-21-2-2-244-2-2-2-2-4-4000000000000001111-211-2-21111-402222000022000000000000000000-1-120-1-1000000000000000000000
χ6744444-2-2-2-24-2-244-2-2-2-21-4-21-21-2-2-21-222-4-42222440000000000000011112-1-122-1-1-1-1-40-2-2-2-20000220000000000000000001120-1-1000000000000000000000
χ6844444-2-2-2-24-2-244-2-2-2-21-4-21-21-2-2-21-222-4-42222-4-40000000000000011112-1-122-1-1-1-14022220000-2-2000000000000000000-1-1-2011000000000000000000000
χ694444-24-24-2-2-24-2-2-24-21-24-2-21-2-211-2-2-2-2-2-2111100444400-2-2-2-2-2-2-2-211114-2-2-2-21111000000-2-20000-2-20000111111110000000000000000000000000000000
χ704444-24-24-2-2-24-2-2-24-21-24-2-21-2-211-2-2-2-2-2-2111100-4-4-4-4002222222211114-2-2-2-21111000000220000220000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ714444-24-24-2-2-24-2-2-24-21-2-4-2-21-2-211-2-22222-1-1-1-10044-4-400-2-2-2-222221111-42222-1-1-1-1000000-2-200002200001111-1-1-1-10000000000000000000000000000000
χ724444-24-24-2-2-24-2-2-24-21-2-4-2-21-2-211-2-22222-1-1-1-100-4-444002222-2-2-2-21111-42222-1-1-1-1000000220000-2-20000-1-1-1-111110000000000000000000000000000000
χ734444-2-24-24-24-2-2-24-21-2-241-2-2-21-2-2-2144-2-2-2-2-2-200000044000000001111-2-2-211111104000000-2-20000-2-2-2-2000000000000000-200111100000000000000000
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χ754444-2-24-24-24-2-2-24-21-2-2-41-2-2-21-2-2-21-4-422222200000044000000001111222-1-1-1-1-1-10-4000000-2-2000022-2-2000000000000000200-1-11100000000000000000
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χ1238-8-88-4-4-44-4444-444-42220-2-222-2-2-2-220000-666-60000000000000000-111-1000003-3-33000000000000000000000000000000000000000000000000000000000

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