Finite Group Databasebeta

← Group #13156378

Character table — Group #13156378

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222222244444444444444444444444488888888881212121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636727272727272108108
order1222333446666666661212121233366666666612121212121212121212121236661212121212124488882424242424242424242424242424242424242424242424242424242424242424441212121212121212412121212441212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-11-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111
χ511111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-1-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000002200000000-222-2-200000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000000000-2-2000000002-2-22200000000
χ11222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000000002-1-1-1-100000000
χ12222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10022-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200000000-2111100000000
χ13222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-2221111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200000000-2111100000000
χ14222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-211111111-2-2-2-211111111-2-2-2-21111111122000000002-1-1-1-100000000
χ15222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-2111100000033−3−333−3−300003333−3−3−3−300003333−3−3−3−32200000000-2-1-11100000000
χ16222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-2111100000033−3−3−3−33300003333−3−3−3−30000−3−3−3−33333-2-200000000211-1-100000000
χ17222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-21111000000−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3-2-200000000211-1-100000000
χ18222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-21111000000−3−333−3−3330000−3−3−3−333330000−3−3−3−333332200000000-2-1-11100000000
χ1922222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-122002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-10022-1-1-1-1-1-1000000200-1-100
χ2022222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-12200-2-20000-2-2-2-20000000000001111111111110022-1-1-1-1-1-1000000-2001100
χ2122222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-100-2-2111111000000-2001100
χ2222222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000-2-2-2-200000000000011111111111100-2-2111111000000200-1-100
χ232222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122220022220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000-1-122-1-1-1-10000020-1-10000
χ242222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-2-200-2-2-2-2000011111111111100000000000000-1-122-1-1-1-100000-20110000
χ252222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-2-2220022220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000011-2-2111100000-20110000
χ262222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-2-2-200001111111111110000000000000011-2-211110000020-1-10000
χ2722-2-22222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2-2222222222-2-2-2-2-2-22-2-222-222-2-22-2000000000000000000000000000000000000002-22-222-2-20000000000000
χ2822-2-22222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2-2222222222-2-2-2-2-2-22-2-222-222-2-2-2200000000000000000000000000000000000000-22-22-2-2220000000000000
χ2922-2-2222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2-2222-2-2-2-2-2-22222222-2-22-22-2-222000000000000000000000000000000000000000000000000000000000002i−2i
χ3022-2-2222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2-2222-2-2-2-2-2-22222222-2-22-22-2-22200000000000000000000000000000000000000000000000000000000000−2i2i
χ3122-2-22-122-2-2122-1-2-2-2122-2-2-12-111-2-2112-1-12-122-1-1-21-2-211-111-1-11-1-1112-200000000000000000000000033−3−333−3−333−3−3002-2-11-1-1110000000003−300
χ3222-2-22-122-2-2122-1-2-2-2122-2-2-12-111-2-2112-1-12-122-1-1-21-2-211-111-1-11-1-1112-2000000000000000000000000−3−333−3−333−3−333002-2-11-1-111000000000−3300
χ3322-2-22-122-2-2122-1-2-2-2122-2-2-12-111-2-2112-1-12-122-1-1-21-2-211-111-1-11-1-111-2200000000000000000000000033−3−333−3−333−3−300-221-111-1-1000000000−3300
χ3422-2-22-122-2-2122-1-2-2-2122-2-2-12-111-2-2112-1-12-122-1-1-21-2-211-111-1-11-1-111-22000000000000000000000000−3−333−3−333−3−33300-221-111-1-10000000003−300
χ3522-2-2-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-12-1-1221-211-2-2-111-1-11-1-1112-200000000000033−3−333−3−333−3−300000000000000-112-2-1-11100000003−30000
χ3622-2-2-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-12-1-1221-211-2-2-111-1-11-1-1112-2000000000000−3−333−3−333−3−33300000000000000-112-2-1-1110000000−330000
χ3722-2-2-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-12-1-1221-211-2-2-111-1-11-1-111-2200000000000033−3−333−3−333−3−3000000000000001-1-2211-1-10000000−330000
χ3822-2-2-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-12-1-1221-211-2-2-111-1-11-1-111-22000000000000−3−333−3−333−3−333000000000000001-1-2211-1-100000003−30000
χ392-2-22222002-2-2-2-22-2-2200002222-22-22-2-2-2-200000000000022-2-2000000002−2−i2i22−22−2−i2i2−i2i22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i0000000002i−2i0000000000
χ402-2-22222002-2-2-2-22-2-2200002222-22-22-2-2-2-200000000000022-2-2000000002−2i2−i22−22−2i2−i2i2−i22−22−22−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i000000000−2i2i0000000000
χ412-2-22222002-2-2-2-22-2-2200002222-22-22-2-2-2-200000000000022-2-200000000−22−i2i2−22−22−i2i2−i2i2−22−22−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i000000000−2i2i0000000000
χ422-2-22222002-2-2-2-22-2-2200002222-22-22-2-2-2-200000000000022-2-200000000−22i2−i2−22−22i2−i2i2−i2−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i0000000002i−2i0000000000
χ432-2-2222-1002-21-2-2-11-223−33−32-1-12-2-11-1111-2003−33−3003−33−3-1-111003−33−3002−2−i2i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72i−2i000000000−ii−i3i300000000
χ442-2-2222-1002-21-2-2-11-223−33−32-1-12-2-11-1111-2003−33−3003−33−3-1-111003−33−3002−2i2−i2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−2i2i000000000i−ii3−i300000000
χ452-2-2222-1002-21-2-2-11-223−33−32-1-12-2-11-1111-2003−33−3003−33−3-1-111003−33−300−22−i2i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−2i2i000000000i−ii3−i300000000
χ462-2-2222-1002-21-2-2-11-223−33−32-1-12-2-11-1111-2003−33−3003−33−3-1-111003−33−300−22i2−i2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72i−2i000000000−ii−i3i300000000
χ472-2-2222-1002-21-2-2-11-22−33−332-1-12-2-11-1111-200−33−3300−33−33-1-11100−33−33002−2−i2i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232i−2i000000000−iii3−i300000000
χ482-2-2222-1002-21-2-2-11-22−33−332-1-12-2-11-1111-200−33−3300−33−33-1-11100−33−33002−2i2−i2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−2i2i000000000i−i−i3i300000000
χ492-2-2222-1002-21-2-2-11-22−33−332-1-12-2-11-1111-200−33−3300−33−33-1-11100−33−3300−22−i2i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−2i2i000000000i−i−i3i300000000
χ502-2-2222-1002-21-2-2-11-22−33−332-1-12-2-11-1111-200−33−3300−33−33-1-11100−33−3300−22i2−i2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232i−2i000000000−iii3−i300000000
χ5144444-24-4-44-244-2444-2-4-4-4-4-24-2-2-244-2-24-2-2-42-4-422-42-4-422-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ5244444-2-2444-2-24-2-2-24-2-2-2-2-2-2-21-2-2-2-211-21-24-2-2-2114-2-2-2111111-2-211110000440000-2-2-2-2000000000000-2-2-2-21111111100000000000000000000000
χ5344444-2-2444-2-24-2-2-24-2-2-2-2-2-2-21-2-2-2-211-21-24-2-2-2114-2-2-2111111-2-211110000-4-4000022220000000000002222-1-1-1-1-1-1-1-100000000000000000000000
χ5444444-2-2-4-44-2-24-2-2-24-22222-2-21-2-2-2-211-21-2-4222-1-1-4222-1-1111122-1-1-1-100000000002323−23−230000000000000000−3−3−3−3333300000000000000000000000
χ5544444-2-2-4-44-2-24-2-2-24-22222-2-21-2-2-2-211-21-2-4222-1-1-4222-1-1111122-1-1-1-10000000000−23−23232300000000000000003333−3−3−3−300000000000000000000000
χ564444-244-4-4-244-2444-24-4-4-4-4-2-24-2-2-2-244-24-22-422-4-42-422-4-4-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ574444-24-244-24-2-24-2-2-24-2-2-2-2-21-2-2-211-2-21-2-2-2411-2-2-2411-2-21111-2-21111004400-2-2-2-20000-2-2-2-21111111100000000000000000000000000000000000
χ584444-24-244-24-2-24-2-2-24-2-2-2-2-21-2-2-211-2-21-2-2-2411-2-2-2411-2-21111-2-2111100-4-400222200002222-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ594444-24-2-4-4-24-2-24-2-2-242222-21-2-2-211-2-21-2-22-4-1-1222-4-1-122111122-1-1-1-10000002323−23−2300000000−3−3−3−3333300000000000000000000000000000000000
χ604444-24-2-4-4-24-2-24-2-2-242222-21-2-2-211-2-21-2-22-4-1-1222-4-1-122111122-1-1-1-1000000−23−232323000000003333−3−3−3−300000000000000000000000000000000000
χ614444-2-2444-2-24-2-244-2-244441-2-211-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-211111111114400000000000000000000000000000000000000-2-2-2-211110000000000000
χ624444-2-2444-2-24-2-244-2-244441-2-211-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111111-4-4000000000000000000000000000000000000002222-1-1-1-10000000000000
χ634444-2-24-4-4-2-24-2-244-2-2-4-4-4-41-2-211-2-2-2-2-2-212222222222221111-1-1-1-1-1-1000000000000000000000000000000000000000000003-33-30000000000000
χ644444-2-24-4-4-2-24-2-244-2-2-4-4-4-41-2-211-2-2-2-2-2-212222222222221111-1-1-1-1-1-100000000000000000000000000000000000000000000-33-330000000000000
χ6544-4-444-24-4-4-4-24422-4-4-2-2224-2-2-4-42222-2-2444-2-2-2-2-4-42222-222-24-4-2-2220000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-44-4-4-24422-4-422-2-24-2-2-4-42222-2-24-4-4222244-2-2-2-2-222-2-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ6744-4-44-24-44-4244-2-4-4-42-4-444-24-222-4-4224-2-2-42-4-4224-244-2-2-222-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ6844-4-44-2-24-4-42-24-222-42-2-222-2-212222-1-1-21-24-2-2-211-4222-1-11-1-11-2211-1-1000000000000000000000000002323−23−23−3−333−3−33300000000000000000000000
χ6944-4-44-2-24-4-42-24-222-42-2-222-2-212222-1-1-21-24-2-2-211-4222-1-11-1-11-2211-1-100000000000000000000000000−23−23232333−3−333−3−300000000000000000000000
χ7044-4-44-2-2-44-42-24-222-4222-2-2-2-212222-1-1-21-2-4222-1-14-2-2-2111-1-112-2-1-11100000000000000000000000000000033-3-3-3-33300000000000000000000000
χ7144-4-44-2-2-44-42-24-222-4222-2-2-2-212222-1-1-21-2-4222-1-14-2-2-2111-1-112-2-1-111000000000000000000000000000000-3-33333-3-300000000000000000000000
χ7244-4-4-244-442-44-24-4-42-4-4-444-2-242222-4-4-24-22-422-4-4-24-2-244-222-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ7344-4-4-24-24-42-4-2-24222-4-2-222-21-222-1-1221-2-2-2411-2-22-4-1-1221-1-11-2211-1-1000000000000002323−23−23−3−333−3−33300000000000000000000000000000000000
χ7444-4-4-24-24-42-4-2-24222-4-2-222-21-222-1-1221-2-2-2411-2-22-4-1-1221-1-11-2211-1-100000000000000−23−23232333−3−333−3−300000000000000000000000000000000000
χ7544-4-4-24-2-442-4-2-24222-422-2-2-21-222-1-1221-2-22-4-1-122-2411-2-21-1-112-2-1-11100000000000000000033-3-3-3-33300000000000000000000000000000000000
χ7644-4-4-24-2-442-4-2-24222-422-2-2-21-222-1-1221-2-22-4-1-122-2411-2-21-1-112-2-1-111000000000000000000-3-33333-3-300000000000000000000000000000000000
χ7744-4-4-2-244-4224-2-2-4-42244-4-41-2-2-1-12222-2-21-2-2-2-2-2-22222221-1-111-111-1-14-400000000000000000000000000000000000000-22-2211-1-10000000000000
χ7844-4-4-2-244-4224-2-2-4-42244-4-41-2-2-1-12222-2-21-2-2-2-2-2-22222221-1-111-111-1-1-44000000000000000000000000000000000000002-22-2-1-1110000000000000
χ7944-4-4-2-24-44224-2-2-4-422-4-4441-2-2-1-12222-2-21222222-2-2-2-2-2-21-1-11-11-1-111000000000000000000000000000000000000000000003-3-330000000000000
χ8044-4-4-2-24-44224-2-2-4-422-4-4441-2-2-1-12222-2-21222222-2-2-2-2-2-21-1-11-11-1-11100000000000000000000000000000000000000000000-333-30000000000000
χ814-44-444400-44-4-4-4-444-40000444-44-44-44-4-4-40000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ824-44-444-200-442-4-42-24-423−23−23234-2-2-442-22-222-40023−2323−2300−2323−2323-22-220023−23−23230000000000000000000000000000000000000000000000000000000000000
χ834-44-444-200-442-4-42-24-4−232323−234-2-2-442-22-222-400−2323−23230023−2323−23-22-2200−232323−230000000000000000000000000000000000000000000000000000000000000
χ844-44-44-2400-4-2-4-42-44420000-24-22-2-442-2-422000000000000-22-2200000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000
χ854-44-44-2400-4-2-4-42-44420000-24-22-2-442-2-422000000000000-22-2200000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i600000000000000000000000
χ864-44-44-2-200-4-22-422-24223−23−2323-2-212-22-2-112-120023−23−3300−23233−31-11-100−333−300000000000000000000000000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ2300000000000000000000000
χ874-44-44-2-200-4-22-422-24223−23−2323-2-212-22-2-112-120023−23−3300−23233−31-11-100−333−300000000000000000000000000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ2300000000000000000000000
χ884-44-44-2-200-4-22-422-242−232323−23-2-212-22-2-112-1200−23233−30023−23−331-11-1003−3−3300000000000000000000000000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ2300000000000000000000000
χ894-44-44-2-200-4-22-422-242−232323−23-2-212-22-2-112-1200−23233−30023−23−331-11-1003−3−3300000000000000000000000000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ2300000000000000000000000
χ904-44-4-2440024-42-4-44-2-40000-2-242-22-2-442-42000000000000-22-22000000000000000000006−6−666−6−666−6−6600000000000000000000000000000000000
χ914-44-4-2440024-42-4-44-2-40000-2-242-22-2-442-42000000000000-22-2200000000000000000000−666−6−666−6−666−600000000000000000000000000000000000
χ924-44-4-24-2002422-42-2-2-423−23−2323-21-22-2-112-2-12200−3323−23003−3−23231-11-100−333−3000000000000006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ2300000000000000000000000000000000000
χ934-44-4-24-2002422-42-2-2-423−23−2323-21-22-2-112-2-12200−3323−23003−3−23231-11-100−333−300000000000000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ2300000000000000000000000000000000000
χ944-44-4-24-2002422-42-2-2-4−232323−23-21-22-2-112-2-122003−3−232300−3323−231-11-1003−3−33000000000000006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ2300000000000000000000000000000000000
χ954-44-4-24-2002422-42-2-2-4−232323−23-21-22-2-112-2-122003−3−232300−3323−231-11-1003−3−3300000000000000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ2300000000000000000000000000000000000
χ964-4-444-240042-4-424-4-4-20000-24-2-224-4-22-422000000000000-2-2220000000000−2i22i20000−2i22i2−2i22i2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000
χ974-4-444-240042-4-424-4-4-20000-24-2-224-4-22-422000000000000-2-22200000000002i2−2i200002i2−2i22i2−2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000
χ984-4-444-2-200422-42-22-4-223−2323−23-2-21-22-221-12-120023−23−330023−23−3311-1-100−33−330000−2i22i200002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7000000000000i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000000000000000000
χ994-4-444-2-200422-42-22-4-223−2323−23-2-21-22-221-12-120023−23−330023−23−3311-1-100−33−3300002i2−2i20000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7000000000000−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000000000000000000
χ1004-4-444-2-200422-42-22-4-2−2323−2323-2-21-22-221-12-1200−23233−300−23233−311-1-1003−33−30000−2i22i200002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23000000000000i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000000000000000000
χ1014-4-444-2-200422-42-22-4-2−2323−2323-2-21-22-221-12-1200−23233−300−23233−311-1-1003−33−300002i2−2i20000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23000000000000−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000000000000000000
χ1024-4-44-24400-2-4-42-44-4240000-2-24-22-224-42-42000000000000-2-2220000000022−220022−2222−220000−22−22−22−22−22−2200000000000000000000000000000000000
χ1034-4-44-24400-2-4-42-44-4240000-2-24-22-224-42-42000000000000-2-22200000000−222200−2222−222200002−22−22−22−22−22−200000000000000000000000000000000000
χ1044-4-44-24-200-2-422-4-222423−2323−23-21-2-221-1-22-12200−3323−2300−3323−2311-1-100−33−330022−22002ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000000000000000000000000000000
χ1054-4-44-24-200-2-422-4-222423−2323−23-21-2-221-1-22-12200−3323−2300−3323−2311-1-100−33−3300−222200−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300002−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000000000000000000000000000000
χ1064-4-44-24-200-2-422-4-2224−2323−2323-21-2-221-1-22-122003−3−2323003−3−232311-1-1003−33−30022−22002ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000000000000000000000000000000
χ1074-4-44-24-200-2-422-4-2224−2323−2323-21-2-221-1-22-122003−3−2323003−3−232311-1-1003−33−300−222200−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700002−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000000000000000000000000000000
χ1088888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-42222-4-42222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1098888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444422222222222244-2-2-2-244-2-2-2-2-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-48-844-4-4-44444-4-444222-2-2-2-2-2-2222-4-4222244-2-2-2-2-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4-8844-4-4-4444444-4-4222-2-2-2-2-2-222244-2-2-2-2-4-42222-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48004-4-844-88-4400002-4-4-224-44-444-20000000000002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4004-44444-4-4443−43−4343222-22-22-22-2-2-200−2323−23230023−2323−23-11-11003−3−330000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-44444-4-44−434343−43222-22-22-22-2-2-20023−2323−2300−2323−2323-11-1100−333−30000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-44-8448-84-400002-4-42-2-44-4444-200000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-44444-444-443−4343−432222-22-22-2-2-2-200−2323−232300−2323−2323-1-111003−33−30000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-44444-444-4−4343−43432222-22-22-2-2-2-20023−2323−230023−2323−23-1-11100−33−330000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.