Finite Group Databasebeta

← Group #13168050

Character table — Group #13168050

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order12223336666666663334666666666121212121212121222444412121212366612121212121212121222466666612121212121212121212121212121212224466666666612121244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-111111-1-11111111111111111-1-111-1-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1-111-1-1-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1111111-1-11111111111-1-1-1-1111-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-11-1-1-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-11-1-11111-1-1-1-1-11-11-111-1-11111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-11-1-1-1-111-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-111-1-1-1-11111-1-111-11111-1-111-1-1-1-111-1-1-111-1-11111-1-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1111-1-1-1-111-1-1111-111-1-1-111-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-111-1-1-1-111111-1-1-111111-1-111-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-111-1-111111-11-1-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111-1-1-1-1111111-11-111-1-111-1-1-11-11
χ17222222-1-122-12-12222-1-12-1-1-12-1-122-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-10000220000000000220022-1-1-1-1-1-1-1-1-1-10200-1-1000000-1000
χ18222222-1-122-12-12222-1-12-1-1-12-1-122-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2222-1-1110000220000000000-2-200-2-21-1-11111-1-1-10-200110000001000
χ19222222-1-122-12-12222-1-12-1-1-12-1-122-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-211-1-10000-2-20000000000-2-20022-111-1-1-1-11110-200110000001000
χ20222222-1-122-12-12222-1-12-1-1-12-1-122-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211110000-2-200000000002200-2-211111111110200-1-1000000-1000
χ21222222-1-122-12-12222-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-22200000000-1-1-1-11111111112-2-222-1-1-1-10000-2-2000000000022002-21-1-1-1-1111110-200-1-10000001000
χ22222222-1-122-12-12222-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-222-1-1110000-2-20000000000-2-200-22-1-1-111-1-1111020011000000-1000
χ23222222-1-122-12-12222-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111112-22-2-211-1-10000220000000000-2-2002-2111-1-111-1-1-1020011000000-1000
χ24222222-1-122-12-12222-1-1-2-1-1-12-1-122-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111-222-2-2111100002200000000002200-22-11111-1-1-1-1-10-200-1-10000001000
χ2522222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-1220000022-1-1-1-10022-1-1-1-1-1-1-1-10000-1-1200-1-1-1-10000022000000000-1-10
χ2622222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-10022222222-1-1-1-1222-1-1-1-1-1-1-2-200000-2-2-1-1-1-10022-1-1-1-1-1-1-1-1000011-200111100000-2-2000000000110
χ2722222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1220000022111100-2-2111111110000-1-1200-1-1-1-100000-2-2000000000110
χ2822222-122-1-122222-1-12-122-1-1-12-1-1-1222-1-1-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-200000-2-2111100-2-211111111000011-20011110000022000000000-1-10
χ2922222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-21111110022-2-22222-1-1-1-1-2-2-21111112-20000022-1-11100-2-2-1-1-1-111110000-11-200-1-111000002-2000000000-110
χ3022222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-21111110022-2-22222-1-1-1-1-2-2-2111111-2200000-2-2-1-11100-2-2-1-1-1-1111100001-120011-1-100000-220000000001-10
χ3122222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-211111100-2-222-2-2-2-2-1-1-1-1-2-2-21111112-2000002211-1-100221111-1-1-1-10000-11-200-1-11100000-220000000001-10
χ3222222-122-1-122222-1-12-1-22-1-1-12-1-1-12-2-211111100-2-222-2-2-2-2-1-1-1-1-2-2-2111111-2200000-2-211-1-100221111-1-1-1-100001-120011-1-1000002-2000000000-110
χ332222-1222222-12-1-12-1-122-122-1-12-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1002-1-122002222-1-1-1-1-1-1-1-1-1-1-1-10022000-1-100002-1-1200000-1-1-1-1000000
χ342222-1222222-12-1-12-1-122-122-1-12-1-1-1-1-122-1-1-1-122-2-2-2-21111-1-1-1-12-1-122-1-1-1-1002-1-12200-2-2-2-2-1-1111111111100-2-2000-1-100002-1-1-2000001111000000
χ352222-1222222-12-1-12-1-122-122-1-12-1-1-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-122-1-1-1-100-211-2-200222211-1-1-1-1-1-1-1-1-1-100-2-2000110000-211-2000001111000000
χ362222-1222222-12-1-12-1-122-122-1-12-1-1-1-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-100-211-2-200-2-2-2-21111111111110022000110000-211200000-1-1-1-1000000
χ372222-1222222-12-1-12-1-12-2-122-1-12-1-1-111-2-211112222-2-2-1-1-1-1-1-1-1-1-211-2-2111100-2-1-1220022-2-21111-1-1-1-1111100-2-2000-1-10000-21120000011-1-1000000
χ382222-1222222-12-1-12-1-12-2-122-1-12-1-1-111-2-2111122-2-2221111-1-1-1-1-211-2-2111100-2-1-12200-2-22211-1-11111-1-1-1-10022000-1-10000-211-200000-1-111000000
χ392222-1222222-12-1-12-1-12-2-122-1-12-1-1-111-2-21111-2-222-2-2-1-1-1-1-1-1-1-1-211-2-2111100211-2-20022-2-2-1-111-1-1-1-1111100220001100002-1-1-200000-1-111000000
χ402222-1222222-12-1-12-1-12-2-122-1-12-1-1-111-2-21111-2-2-2-2221111-1-1-1-1-211-2-2111100211-2-200-2-222-1-1-1-11111-1-1-1-100-2-20001100002-1-120000011-1-1000000
χ4122-2-2222-22-2-2-22-22-2222022-2-2-2-22-2-2000000002-2002i−2i000022-2-20000000000002-22-200002i−2i002i−2i00002i2i−2i−2i002i−2i0002-200000000000002i−2i00000000
χ4222-2-2222-22-2-2-22-22-2222022-2-2-2-22-2-2000000002-200−2i2i000022-2-20000000000002-22-20000−2i2i00−2i2i0000−2i−2i2i2i00−2i2i0002-20000000000000−2i2i00000000
χ4322-2-2222-22-2-2-22-22-2222022-2-2-2-22-2-200000000-22002i−2i000022-2-2000000000000-22-2200002i−2i002i−2i00002i2i−2i−2i00−2i2i000-220000000000000−2i2i00000000
χ4422-2-2222-22-2-2-22-22-2222022-2-2-2-22-2-200000000-2200−2i2i000022-2-2000000000000-22-220000−2i2i00−2i2i0000−2i−2i2i2i002i−2i000-2200000000000002i−2i00000000
χ4522-2-2-122-22-2-2121-1-2-1-120-12-211-2-1113−30033−3−32-2002i−2i−i3−i3i3i3-1-11103−30033−3−3000-112-200002i−2i3−3−ii−i3−i3i3i3−i−iii002i−2i000-11000003−3000000−ii−i3i3000000
χ4622-2-2-122-22-2-2121-1-2-1-120-12-211-2-1113−30033−3−32-200−2i2ii3i3−i3−i3-1-11103−30033−3−3000-112-20000−2i2i3−3i−ii3i3−i3−i3ii−i−i00−2i2i000-11000003−3000000i−ii3−i3000000
χ4722-2-2-122-22-2-2121-1-2-1-120-12-211-2-1113−30033−3−3-22002i−2i−i3−i3i3i3-1-11103−30033−3−30001-1-2200002i−2i−33−ii−i3−i3i3i3−i−iii00−2i2i0001-100000−33000000i−ii3−i3000000
χ4822-2-2-122-22-2-2121-1-2-1-120-12-211-2-1113−30033−3−3-2200−2i2ii3i3−i3−i3-1-11103−30033−3−30001-1-220000−2i2i−33i−ii3i3−i3−i3ii−i−i002i−2i0001-100000−33000000−ii−i3i3000000
χ4922-2-2-122-22-2-2121-1-2-1-120-12-211-2-111−3300−3−3332-2002i−2ii3i3−i3−i3-1-1110−3300−3−333000-112-200002i−2i−33−iii3i3−i3−i3−i−iii002i−2i000-1100000−33000000−iii3−i3000000
χ5022-2-2-122-22-2-2121-1-2-1-120-12-211-2-111−3300−3−3332-200−2i2i−i3−i3i3i3-1-1110−3300−3−333000-112-20000−2i2i−33i−i−i3−i3i3i3ii−i−i00−2i2i000-1100000−33000000i−i−i3i3000000
χ5122-2-2-122-22-2-2121-1-2-1-120-12-211-2-111−3300−3−333-22002i−2ii3i3−i3−i3-1-1110−3300−3−3330001-1-2200002i−2i3−3−iii3i3−i3−i3−i−iii00−2i2i0001-1000003−3000000i−i−i3i3000000
χ5222-2-2-122-22-2-2121-1-2-1-120-12-211-2-111−3300−3−333-2200−2i2i−i3−i3i3i3-1-1110−3300−3−3330001-1-220000−2i2i3−3i−i−i3−i3i3i3ii−i−i002i−2i0001-1000003−3000000−iii3−i3000000
χ532-22-2222-2-2222-2-2-2-22220-2-22-2-2-2-22200000000002i−2i002i−2i2i−2i2-22-20000000000000000002i−2i0000002i−2i2i−2i00002-20000000000000000002-200002i−2i0000
χ542-22-2222-2-2222-2-2-2-22220-2-22-2-2-2-22200000000002i−2i002i−2i2i−2i2-22-20000000000000000002i−2i0000002i−2i2i−2i0000-22000000000000000000-220000−2i2i0000
χ552-22-2222-2-2222-2-2-2-22220-2-22-2-2-2-2220000000000−2i2i00−2i2i−2i2i2-22-2000000000000000000−2i2i000000−2i2i−2i2i00002-20000000000000000002-20000−2i2i0000
χ562-22-2222-2-2222-2-2-2-22220-2-22-2-2-2-2220000000000−2i2i00−2i2i−2i2i2-22-2000000000000000000−2i2i000000−2i2i−2i2i0000-22000000000000000000-2200002i−2i0000
χ5744444-2-2-2-2-2-24-244-2-2-214-211-2-21-2-2-244-2-2-2-2-2-200000000001111-2-2-21111114400000-2-200000000000000000000-2-2-20011110000000000000000000
χ5844444-2-2-2-2-2-24-244-2-2-214-211-2-21-2-2-244-2-2-2-2-2-200000000001111-2-2-2111111-4-400000220000000000000000000022200-1-1-1-10000000000000000000
χ5944444-2-2-2-2-2-24-244-2-2-21-4-211-2-21-2-2-2-4-422222200000000001111222-1-1-1-1-1-14-400000-2-200000000000000000000-2220011-1-10000000000000000000
χ6044444-2-2-2-2-2-24-244-2-2-21-4-211-2-21-2-2-2-4-422222200000000001111222-1-1-1-1-1-1-440000022000000000000000000002-2-200-1-1110000000000000000000
χ614444-24-2-244-2-2-2-2-24-21-241-2-2-21-2-2-21-2-244-2-2-2-244000000001111-211-2-21111004-2-2-2-2000000-2-200000000000000000110000-2110000000000000000
χ624444-24-2-244-2-2-2-2-24-21-241-2-2-21-2-2-21-2-244-2-2-2-2-4-4000000001111-211-2-2111100-422220000002200000000000000000-1-100002-1-10000000000000000
χ634444-24-2-244-2-2-2-2-24-21-2-41-2-2-21-2-2-2122-4-42222440000000011112-1-122-1-1-1-100-4-2-2-2-200000022000000000000000001100002-1-10000000000000000
χ644444-24-2-244-2-2-2-2-24-21-2-41-2-2-21-2-2-2122-4-42222-4-40000000011112-1-122-1-1-1-10042222000000-2-200000000000000000-1-10000-2110000000000000000
χ654444-2-244-2-24-24-2-2-21-2-24-2-2-21-2-211-2-2-2-2-21111004444-2-2-2-211114-2-2-2-21111000000000-2-2-2-200-2-21111111100000000000000000000000000000000
χ664444-2-244-2-24-24-2-2-21-2-24-2-2-21-2-211-2-2-2-2-2111100-4-4-4-4222211114-2-2-2-2111100000000022220022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ674444-2-244-2-24-24-2-2-21-2-2-4-2-2-21-2-211-22222-1-1-1-10044-4-4-2-2-2-21111-42222-1-1-1-1000000000-2-22200221111-1-1-1-100000000000000000000000000000000
χ684444-2-244-2-24-24-2-2-21-2-2-4-2-2-21-2-211-22222-1-1-1-100-4-44422221111-42222-1-1-1-100000000022-2-200-2-2-1-1-1-1111100000000000000000000000000000000
χ6944-4-444-224-42-4-2-44-44-2-20-2-22-4224-42000000004-400000000-2-2220000000000004-4-220000000000000000000000000-2200000000000000000000000
χ7044-4-444-224-42-4-2-44-44-2-20-2-22-4224-4200000000-4400000000-2-222000000000000-442-200000000000000000000000002-200000000000000000000000
χ7144-4-44-24-4-22-4-44-442-24-204-222-42-22-40000000000004i−4i0000-2-22200000000000000000000−2i2i004i−4i0000−2i−2i2i2i00000000000000000000000000000000
χ7244-4-44-24-4-22-4-44-442-24-204-222-42-22-4000000000000−4i4i0000-2-222000000000000000000002i−2i00−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ7344-4-4-24-224-422-22-2-4-21-201-222-12-22-123−23002323−23−234-40000000011-1-10−3300−3−333000-22-2200000023−23000000000000000001-100000−330000000000000000
χ7444-4-4-24-224-422-22-2-4-21-201-222-12-22-123−23002323−23−23-440000000011-1-10−3300−3−3330002-22-2000000−232300000000000000000-11000003−30000000000000000
χ7544-4-4-24-224-422-22-2-4-21-201-222-12-22-1−232300−23−2323234-40000000011-1-103−30033−3−3000-22-22000000−2323000000000000000001-1000003−30000000000000000
χ7644-4-4-24-224-422-22-2-4-21-201-222-12-22-1−232300−23−232323-440000000011-1-103−30033−3−30002-22-200000023−2300000000000000000-1100000−330000000000000000
χ7744-4-4-2-24-4-22-4242-221-2-20-2-22-1221-1223−2300−3−33300004i−4i−2i3−2i32i32i311-1-1023−2300−3−33300000000000−2i2i00−2i2ii3i3−i3−i3ii−i−i00000000000000000000000000000000
χ7844-4-4-2-24-4-22-4242-221-2-20-2-22-1221-1223−2300−3−3330000−4i4i2i32i3−2i3−2i311-1-1023−2300−3−333000000000002i−2i002i−2i−i3−i3i3i3−i−iii00000000000000000000000000000000
χ7944-4-4-2-24-4-22-4242-221-2-20-2-22-1221-12−23230033−3−300004i−4i2i32i3−2i3−2i311-1-10−23230033−3−300000000000−2i2i00−2i2i−i3−i3i3i3ii−i−i00000000000000000000000000000000
χ8044-4-4-2-24-4-22-4242-221-2-20-2-22-1221-12−23230033−3−30000−4i4i−2i3−2i32i32i311-1-10−23230033−3−3000000000002i−2i002i−2ii3i3−i3−i3−i−iii00000000000000000000000000000000
χ814-44-444-22-44-242-4-4-44-2-2022-2-422-44-2000000000000000000-22-2200000000000000000000000000000000004-4000000000000000000-220000000000
χ824-44-444-22-44-242-4-4-44-2-2022-2-422-44-2000000000000000000-22-220000000000000000000000000000000000-440000000000000000002-20000000000
χ834-44-44-24-42-244-4-4-42-24-20-42-22-422-2400000000004i−4i004i−4i4i−4i-22-22000000000000000000−2i2i000000−2i2i−2i2i000000000000000000000000000000000000
χ844-44-44-24-42-244-4-4-42-24-20-42-22-422-240000000000−4i4i00−4i4i−4i4i-22-220000000000000000002i−2i0000002i−2i2i−2i000000000000000000000000000000000000
χ854-44-4-244-4-444-2-422-4-2-2402-4422-42-2-200000000004i−4i00−2i2i−2i2i-22-220000000000000000004i−4i000000−2i2i−2i2i000000000000000000000000000000000000
χ864-44-4-244-4-444-2-422-4-2-2402-4422-42-2-20000000000−4i4i002i−2i2i−2i-22-22000000000000000000−4i4i0000002i−2i2i−2i000000000000000000000000000000000000
χ874-44-4-2-24-42-24-2-42221-2-2022-2-122-11-200003i−3i3i−3i004i−4i00−2i2i−2i2i1-11-1000003i−3i3i−3i000000000−2i2i000000i−ii−i3-33-300000000000000000000000000000000
χ884-44-4-2-24-42-24-2-42221-2-2022-2-122-11-200003i−3i3i−3i00−4i4i002i−2i2i−2i1-11-1000003i−3i3i−3i0000000002i−2i000000−ii−ii-33-3300000000000000000000000000000000
χ894-44-4-2-24-42-24-2-42221-2-2022-2-122-11-20000−3i3i−3i3i004i−4i00−2i2i−2i2i1-11-100000−3i3i−3i3i000000000−2i2i000000i−ii−i-33-3300000000000000000000000000000000
χ904-44-4-2-24-42-24-2-42221-2-2022-2-122-11-20000−3i3i−3i3i00−4i4i002i−2i2i−2i1-11-100000−3i3i−3i3i0000000002i−2i000000−ii−ii3-33-300000000000000000000000000000000
χ914-4-444444-4-4-4-4-44-444440-4-4-4444-4-4-40000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-2-2-4-42-424-444-2-202224-2-2-4-42000000000000000000-222-20000000000000000−2i32i30000000000000000000000000−2i32i3000000000000000000000
χ934-4-4444-2-2-4-42-424-444-2-202224-2-2-4-42000000000000000000-222-200000000000000002i3−2i300000000000000000000000002i3−2i3000000000000000000000
χ944-4-444-24422-4-4-44-4-2-24-20-422-24-222-400−2i32i3−2i32i32i3−2i30000000000-222-2000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ954-4-444-24422-4-4-44-4-2-24-20-422-24-222-4002i3−2i32i3−2i3−2i32i30000000000-222-20002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ964-4-444-2-2-2222-424-4-2-2-2102-1-1-2-2122200−2i32i3−2i32i32i3−2i300000000001-1-11000i3−i3i3−i3−i3i30000000−2i32i30000000000000000000000000i3−i33-30000000000000000000
χ974-4-444-2-2-2222-424-4-2-2-2102-1-1-2-2122200−2i32i3−2i32i32i3−2i300000000001-1-11000i3−i3i3−i3−i3i300000002i3−2i30000000000000000000000000−i3i3-330000000000000000000
χ984-4-444-2-2-2222-424-4-2-2-2102-1-1-2-21222002i3−2i32i3−2i3−2i32i300000000001-1-11000−i3i3−i3i3i3−i30000000−2i32i30000000000000000000000000i3−i3-330000000000000000000
χ994-4-444-2-2-2222-424-4-2-2-2102-1-1-2-21222002i3−2i32i3−2i3−2i32i300000000001-1-11000−i3i3−i3i3i3−i300000002i3−2i30000000000000000000000000−i3i33-30000000000000000000
χ1004-4-44-2444-4-4-42-4-224-2-2402-4-4-2-242220000000000000023−23−2323-222-20000000000000000000000000023−23−2323000000000000000000000000000000000000
χ1014-4-44-2444-4-4-42-4-224-2-2402-4-4-2-2422200000000000000−232323−23-222-200000000000000000000000000−232323−23000000000000000000000000000000000000
χ1024-4-44-2-24422-42-4-22-21-2-202221-2-2-1-1200−2i32i3i3−i3−i3i300000023−23−23231-1-11000−2i32i3i3−i3−i3i300000000000000000−333−33i−3i−3i3i00000000000000000000000000000000
χ1034-4-44-2-24422-42-4-22-21-2-202221-2-2-1-1200−2i32i3i3−i3−i3i3000000−232323−231-1-11000−2i32i3i3−i3−i3i3000000000000000003−3−33−3i3i3i−3i00000000000000000000000000000000
χ1044-4-44-2-24422-42-4-22-21-2-202221-2-2-1-12002i3−2i3−i3i3i3−i300000023−23−23231-1-110002i3−2i3−i3i3i3−i300000000000000000−333−3−3i3i3i−3i00000000000000000000000000000000
χ1054-4-44-2-24422-42-4-22-21-2-202221-2-2-1-12002i3−2i3−i3i3i3−i3000000−232323−231-1-110002i3−2i3−i3i3i3−i3000000000000000003−3−333i−3i−3i3i00000000000000000000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-44-444-8-4-884-4-420-42-244-2-44400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-44-4444-44-44222022-2-2-2-22-2-243−4300−23−2323230000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-4444-44-44222022-2-2-2-22-2-2−4343002323−23−230000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-444-4-484-8-84-4-4204-2244-24-4-40000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-44-88-4-4444-8-42-40-24-44-244-420000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444-4-4-444442220-2-22-2-2-2-22200006i−6i6i−6i0000000000-11-1100000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-4-4-444442220-2-22-2-2-2-2220000−6i6i−6i6i0000000000-11-11000003i−3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-4-4-8-8444-448-42-40-244-42-444-20000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-444444-44-42220-2-2-2222-2-2-200−4i34i32i3−2i3−2i32i30000000000-111-10002i3−2i3−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-444444-44-42220-2-2-2222-2-2-2004i3−4i3−2i32i32i3−2i30000000000-111-1000−2i32i3i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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