Finite Group Databasebeta

← Group #13140003

Character table — Group #13140003

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order1222222234444666666612121212336666666666666612121212121212123666666612121212121212121212121244444444121212121212121212121212121212124444444412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-111-1-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-1111-1-111-1-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-1111-1-111-1-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-1111-1-111-1-11-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-11-1-11111-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-11-1-11111-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-11-1-11111-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-11-1-11111-1-11-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-12222-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1-1-1-12222-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-1-1-12222-1222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ21222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-12-1-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ22222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-12-1-1-12211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-12222-1222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ252222-2-2-2-2222-2-222-2-22-2-222-2-22-122-2-211112-1-1-1-2-2-1-1-1-11111-1-1-11111-122-2-2-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ262222-2-2-2-2222-2-222-2-22-2-222-2-22-122-2-211112-1-1-1-2-2-1-1-1-11111-1-1-11111-122-2-2-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ272222-2-2-2-2222-2-222-2-22-2-222-2-2-12-1-111-2-2-2-2-1222112222-2-2-2-2-1-1-11111-1-1-111-1-1-1-1111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ282222-2-2-2-2222-2-222-2-22-2-222-2-2-12-1-111-2-2-2-2-1222112222-2-2-2-2-1-1-11111-1-1-111-1-1-1-111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ292222-2-2-2-22-2-22222-2-22-2-2-2-2222-122-2-211112-1-1-1-2-21111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ302222-2-2-2-22-2-22222-2-22-2-2-2-2222-122-2-211112-1-1-1-2-21111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ312222-2-2-2-22-2-22222-2-22-2-2-2-222-12-1-111-2-2-2-2-122211-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ322222-2-2-2-22-2-22222-2-22-2-2-2-222-12-1-111-2-2-2-2-122211-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ3322-2-222-2-220000-2-22-222-2000022-2-22-222-2-222-2-22-2000000002-2-222-2-2200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-2-222-2-220000-2-22-222-2000022-2-22-222-2-222-2-22-2000000002-2-222-2-220000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-2-222-2-220000-2-22-222-200002-1-2-22-2-1-1112-1112-2−i3−i3i3i3−i3−i3i3i3-111-1-111-10000−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i33−3−333−3−3−i−iii−i−iii000000000000000000000000
χ3622-2-222-2-220000-2-22-222-200002-1-2-22-2-1-1112-1112-2−i3−i3i3i3−i3−i3i3i3-111-1-111-10000−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i−3−333−3−333ii−i−iii−i−i000000000000000000000000
χ3722-2-222-2-220000-2-22-222-200002-1-2-22-2-1-1112-1112-2i3i3−i3−i3i3i3−i3−i3-111-1-111-10000i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i−3−333−3−333−i−iii−i−iii000000000000000000000000
χ3822-2-222-2-220000-2-22-222-200002-1-2-22-2-1-1112-1112-2i3i3−i3−i3i3i3−i3−i3-111-1-111-10000i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i33−3−333−3−3ii−i−iii−i−i000000000000000000000000
χ3922-2-2-2-22220000-2-2-222-22000022-2-2-22-2-22222-2-2-22000000002-2-2-2-222200000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-2-2-22220000-2-2-222-22000022-2-2-22-2-22222-2-2-22000000002-2-2-2-22220000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-2-2-22220000-2-2-222-2200002-1-2-2-2211-1-12-111-22−i3−i3i3i3i3i3−i3−i3-11111-1-1-10000−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i33−3−3−3−333−i−iiiii−i−i000000000000000000000000
χ4222-2-2-2-22220000-2-2-222-2200002-1-2-2-2211-1-12-111-22−i3−i3i3i3i3i3−i3−i3-11111-1-1-10000−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i−3−33333−3−3ii−i−i−i−iii000000000000000000000000
χ4322-2-2-2-22220000-2-2-222-2200002-1-2-2-2211-1-12-111-22i3i3−i3−i3−i3−i3i3i3-11111-1-1-10000i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i−3−33333−3−3−i−iiiii−i−i000000000000000000000000
χ4422-2-2-2-22220000-2-2-222-2200002-1-2-2-2211-1-12-111-22i3i3−i3−i3−i3−i3i3i3-11111-1-1-10000i3i3−i3−i3−i3−i3i3i30000−2i2i2i−2i33−3−3−3−333ii−i−i−i−iii000000000000000000000000
χ452-22-22-22-2200002-222-2-2-20000222-2-2-22-22-2-2-22-2220000000022-22-22-2-20000000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ462-22-22-22-2200002-222-2-2-20000222-2-2-22-22-2-2-22-2220000000022-22-22-2-2000000000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ472-22-22-22-2200002-222-2-2-200002-12-2-2-2-11-11-21-11223−33−33−33−3-1-11-11-11100003−33−33−33−32i−2i2i−2i0000−ii−ii−ii−ii−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ482-22-22-22-2200002-222-2-2-200002-12-2-2-2-11-11-21-11223−33−33−33−3-1-11-11-11100003−33−33−33−3−2i2i−2i2i0000i−ii−ii−ii−ii3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ492-22-22-22-2200002-222-2-2-200002-12-2-2-2-11-11-21-1122−33−33−33−33-1-11-11-1110000−33−33−33−332i−2i2i−2i0000−ii−ii−ii−iii3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ502-22-22-22-2200002-222-2-2-200002-12-2-2-2-11-11-21-1122−33−33−33−33-1-11-11-1110000−33−33−33−33−2i2i−2i2i0000i−ii−ii−ii−i−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ512-22-2-22-22200002-2-2-2-2220000222-222-22-22-2-22-2-2-20000000022-2-22-22-20000000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ522-22-2-22-22200002-2-2-2-2220000222-222-22-22-2-22-2-2-20000000022-2-22-22-2000000000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ532-22-2-22-22200002-2-2-2-22200002-12-2221-11-1-21-11-2-23−33−3−33−33-1-111-11-1100003−33−3−33−332i−2i−2i2i0000−ii−iii−ii−i−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ542-22-2-22-22200002-2-2-2-22200002-12-2221-11-1-21-11-2-23−33−3−33−33-1-111-11-1100003−33−3−33−33−2i2i2i−2i0000i−ii−i−ii−iii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ552-22-2-22-22200002-2-2-2-22200002-12-2221-11-1-21-11-2-2−33−333−33−3-1-111-11-110000−33−333−33−32i−2i−2i2i0000−ii−iii−ii−ii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ562-22-2-22-22200002-2-2-2-22200002-12-2221-11-1-21-11-2-2−33−333−33−3-1-111-11-110000−33−333−33−3−2i2i2i−2i0000i−ii−i−ii−ii−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ572-2-222-2-2222i−2i2i−2i-222-2-2-222i−2i2i−2i22-22-222-2-22-2-2-222-22i−2i−2i2i2i−2i−2i2i2-222-2-22-22i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ582-2-222-2-2222i−2i2i−2i-222-2-2-222i−2i2i−2i2-1-22-22-111-1-211-12-2−iii−i−iii−i-11-1-111-112i−2i2i−2i−iii−i−iii−i00000000−i3i3i3−i3−i3i3i3−i3−333−3−333−3000000000000000000000000
χ592-2-222-2-2222i−2i2i−2i-222-2-2-222i−2i2i−2i2-1-22-22-111-1-211-12-2−iii−i−iii−i-11-1-111-112i−2i2i−2i−iii−i−iii−i00000000i3−i3−i3i3i3−i3−i3i33−3−333−3−33000000000000000000000000
χ602-2-222-2-2222i−2i2i−2i-222-2-2-222i−2i2i−2i-121-11-12-2-221-2-22-112i−2i−2i2i2i−2i−2i2i-11-1-111-11−ii−ii−iii−i−iii−i0000000000000000000000000000000000000000−i3i3−i3i33−33−3
χ612-2-222-2-2222i−2i2i−2i-222-2-2-222i−2i2i−2i-121-11-12-2-221-2-22-112i−2i−2i2i2i−2i−2i2i-11-1-111-11−ii−ii−iii−i−iii−i0000000000000000000000000000000000000000i3−i3i3−i3−33−33
χ622-2-222-2-222−2i2i−2i2i-222-2-2-22−2i2i−2i2i22-22-222-2-22-2-2-222-2−2i2i2i−2i−2i2i2i−2i2-222-2-22-2−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ632-2-222-2-222−2i2i−2i2i-222-2-2-22−2i2i−2i2i2-1-22-22-111-1-211-12-2i−i−iii−i−ii-11-1-111-11−2i2i−2i2ii−i−iii−i−ii00000000−i3i3i3−i3−i3i3i3−i33−3−333−3−33000000000000000000000000
χ642-2-222-2-222−2i2i−2i2i-222-2-2-22−2i2i−2i2i2-1-22-22-111-1-211-12-2i−i−iii−i−ii-11-1-111-11−2i2i−2i2ii−i−iii−i−ii00000000i3−i3−i3i3i3−i3−i3i3−333−3−333−3000000000000000000000000
χ652-2-222-2-222−2i2i−2i2i-222-2-2-22−2i2i−2i2i-121-11-12-2-221-2-22-11−2i2i2i−2i−2i2i2i−2i-11-1-111-11i−ii−ii−i−iii−i−ii0000000000000000000000000000000000000000−i3i3−i3i3−33−33
χ662-2-222-2-222−2i2i−2i2i-222-2-2-22−2i2i−2i2i-121-11-12-2-221-2-22-11−2i2i2i−2i−2i2i2i−2i-11-1-111-11i−ii−ii−i−iii−i−ii0000000000000000000000000000000000000000i3−i3i3−i33−33−3
χ672-2-22-222-222i−2i−2i2i-22-22-22-22i−2i−2i2i22-222-2-222-2-2-2-22-222i−2i−2i2i−2i2i2i−2i2-22-222-2-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ682-2-22-222-222i−2i−2i2i-22-22-22-22i−2i−2i2i2-1-222-21-1-11-211-1-22−iii−ii−i−ii-11-11-1-1112i−2i−2i2i−iii−ii−i−ii00000000−i3i3i3−i3i3−i3−i3i3−333−33−3−33000000000000000000000000
χ692-2-22-222-222i−2i−2i2i-22-22-22-22i−2i−2i2i2-1-222-21-1-11-211-1-22−iii−ii−i−ii-11-11-1-1112i−2i−2i2i−iii−ii−i−ii00000000i3−i3−i3i3−i3i3i3−i33−3−33−333−3000000000000000000000000
χ702-2-22-222-222i−2i−2i2i-22-22-22-22i−2i−2i2i-121-1-11-222-21-2-221-12i−2i−2i2i−2i2i2i−2i-11-11-1-111−iii−i−iii−ii−i−ii00000000000000000000000000000000000000003−3−33i3−i3−i3i3
χ712-2-22-222-222i−2i−2i2i-22-22-22-22i−2i−2i2i-121-1-11-222-21-2-221-12i−2i−2i2i−2i2i2i−2i-11-11-1-111−iii−i−iii−ii−i−ii0000000000000000000000000000000000000000−333−3−i3i3i3−i3
χ722-2-22-222-22−2i2i2i−2i-22-22-22-2−2i2i2i−2i22-222-2-222-2-2-2-22-22−2i2i2i−2i2i−2i−2i2i2-22-222-2-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ732-2-22-222-22−2i2i2i−2i-22-22-22-2−2i2i2i−2i2-1-222-21-1-11-211-1-22i−i−ii−iii−i-11-11-1-111−2i2i2i−2ii−i−ii−iii−i00000000−i3i3i3−i3i3−i3−i3i33−3−33−333−3000000000000000000000000
χ742-2-22-222-22−2i2i2i−2i-22-22-22-2−2i2i2i−2i2-1-222-21-1-11-211-1-22i−i−ii−iii−i-11-11-1-111−2i2i2i−2ii−i−ii−iii−i00000000i3−i3−i3i3−i3i3i3−i3−333−33−3−33000000000000000000000000
χ752-2-22-222-22−2i2i2i−2i-22-22-22-2−2i2i2i−2i-121-1-11-222-21-2-221-1−2i2i2i−2i2i−2i−2i2i-11-11-1-111i−i−iii−i−ii−iii−i00000000000000000000000000000000000000003−3−33−i3i3i3−i3
χ762-2-22-222-22−2i2i2i−2i-22-22-22-2−2i2i2i−2i-121-1-11-222-21-2-221-1−2i2i2i−2i2i−2i−2i2i-11-11-1-111i−i−iii−i−ii−iii−i0000000000000000000000000000000000000000−333−3i3−i3−i3i3
χ77444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ78444444444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222111111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ794444-4-4-4-4444-4-444-4-44-4-444-4-4-2-2-2-2222222-2-2-2-222-2-2-2-22222111-1-1-1-11-2-2221111-1-1-1-1000000000000000000000000000000000000000000000000
χ804444-4-4-4-44-4-44444-4-44-4-4-4-444-2-2-2-2222222-2-2-2-2222222-2-2-2-2111-1-1-1-1122-2-2-1-1-1-11111000000000000000000000000000000000000000000000000
χ8144-4-444-4-440000-4-44-444-40000-2422-2244-4-4-24-4-4-2200000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-440000-4-44-444-40000-2-222-22-2-222-2-222-22−2i3−2i32i32i3−2i3−2i32i32i31-1-111-1-110000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ8344-4-444-4-440000-4-44-444-40000-2-222-22-2-222-2-222-222i32i3−2i3−2i32i32i3−2i3−2i31-1-111-1-110000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8444-4-4-4-44440000-4-4-444-440000-24222-2-4-444-24-4-42-200000000-22222-2-2-2000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-44440000-4-4-444-440000-2-2222-222-2-2-2-2222-2−2i3−2i32i32i32i32i3−2i3−2i31-1-1-1-11110000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8644-4-4-4-44440000-4-4-444-440000-2-2222-222-2-2-2-2222-22i32i3−2i3−2i3−2i3−2i32i32i31-1-1-1-11110000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ874-44-44-44-4400004-444-4-4-40000-24-22224-44-42-44-4-2-200000000-2-22-22-222000000000000000000000000000000000000000000000000000000000000
χ884-44-44-44-4400004-444-4-4-40000-2-2-2222-22-2222-22-2-223−2323−2323−2323−2311-11-11-1-10000−33−33−33−33000000000000000000000000000000000000000000000000
χ894-44-44-44-4400004-444-4-4-40000-2-2-2222-22-2222-22-2-2−2323−2323−2323−232311-11-11-1-100003−33−33−33−3000000000000000000000000000000000000000000000000
χ904-44-4-44-44400004-4-4-4-4440000-24-22-2-2-44-442-44-42200000000-2-222-22-22000000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-44400004-4-4-4-4440000-2-2-22-2-22-22-222-222223−2323−23−2323−232311-1-11-11-10000−33−333−33−3000000000000000000000000000000000000000000000000
χ924-44-4-44-44400004-4-4-4-4440000-2-2-22-2-22-22-222-2222−2323−232323−2323−2311-1-11-11-100003−33−3−33−33000000000000000000000000000000000000000000000000
χ934-4-444-4-4444i−4i4i−4i-444-4-4-444i−4i4i−4i-2-22-22-2-222-2222-2-22−2i2i2i−2i−2i2i2i−2i1-111-1-11-1−2i2i−2i2ii−i−iii−i−ii000000000000000000000000000000000000000000000000
χ944-4-444-4-444−4i4i−4i4i-444-4-4-44−4i4i−4i4i-2-22-22-2-222-2222-2-222i−2i−2i2i2i−2i−2i2i1-111-1-11-12i−2i2i−2i−iii−i−iii−i000000000000000000000000000000000000000000000000
χ954-4-44-444-444i−4i−4i4i-44-44-44-44i−4i−4i4i-2-22-2-222-2-22222-22-2−2i2i2i−2i2i−2i−2i2i1-11-111-1-1−2i2i2i−2ii−i−ii−iii−i000000000000000000000000000000000000000000000000
χ964-4-44-444-44−4i4i4i−4i-44-44-44-4−4i4i4i−4i-2-22-2-222-2-22222-22-22i−2i−2i2i−2i2i2i−2i1-11-111-1-12i−2i−2i2i−iii−ii−i−ii000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200001111111100000000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000022-2-20000-1-1-1-1111100000000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-100000000
χ1016666-6-6-6-6-366-6-6-3-333-333-3-333000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ1026666-6-6-6-6-366-6-6-3-333-333-3-33300000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ1036666-6-6-6-6-3-6-666-3-333-33333-3-3000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ1046666-6-6-6-6-3-6-666-3-333-33333-3-300000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ1056-6-666-6-66-36i−6i6i−6i3-3-3333-3−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000003−33−3−i3i3−i3i300000000
χ1066-6-666-6-66-36i−6i6i−6i3-3-3333-3−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−33−33i3−i3i3−i300000000
χ1076-6-666-6-66-3−6i6i−6i6i3-3-3333-33i−3i3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000003−33−3i3−i3i3−i300000000
χ1086-6-666-6-66-3−6i6i−6i6i3-3-3333-33i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−33−33−i3i3−i3i300000000
χ1096-6-66-666-6-36i−6i−6i6i3-33-33-33−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3−333−300000000
χ1106-6-66-666-6-36i−6i−6i6i3-33-33-33−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i33−3−3300000000
χ1116-6-66-666-6-3−6i6i6i−6i3-33-33-333i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i33−3−3300000000
χ1126-6-66-666-6-3−6i6i6i−6i3-33-33-333i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3−333−300000000
χ1131212-12-121212-12-12-6000066-66-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-12-121212-60000666-6-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-1212-1212-1212-12-60000-66-6-6666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-1212-12-1212-1212-60000-66666-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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