Finite Group Databasebeta

← Group #13140243

Character table — Group #13140243

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order1222222234444666666612121212336666666666666612121212121212123666666612121212121212121212121222224444666666661212121212121212224444446666121212121212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ9111-11-1-1-11ii−i−i11-1-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-1-111-1-1ii−i−iii−i−i
χ10111-11-1-1-11ii−i−i11-1-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-111-1-111−i−iii−i−iii
χ11111-11-1-1-11ii−i−i11-1-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-1-1-1-111−i−iiiii−i−i
χ12111-11-1-1-11ii−i−i11-1-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-11111-1-1ii−i−i−i−iii
χ13111-11-1-1-11−i−iii11-1-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-111-1-1−i−iii−i−iii
χ14111-11-1-1-11−i−iii11-1-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111-1-111ii−i−iii−i−i
χ15111-11-1-1-11−i−iii11-1-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1-1-111ii−i−i−i−iii
χ16111-11-1-1-11−i−iii11-1-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii−i−i−i−iiiii-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-11111-1-1−i−iiiii−i−i
χ172222222222222222222222222-1222-1-1-1222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022220000-1-1-1-100000000-1-1-1-1
χ182222222222222222222222222-1222-1-1-1222-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200001111000000001111
χ19222222222222222222222222-12-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ20222222222222222222222222-12-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ21222222222-2-2-2-22222222-2-2-2-22-1222-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000000000000022-2-20000-1-1-1-1000000001111
χ22222222222-2-2-2-22222222-2-2-2-22-1222-1-1-1222-1-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2220000111100000000-1-1-1-1
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1222-1-1-12222-111111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1222-1-1-12222-111111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ25222-22-2-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i2-1222-1-1-1-2-2-21111-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii0000000000000000000000002-22i−2i0000-1-11100000000−i−iii
χ26222-22-2-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i2-1222-1-1-1-2-2-21111-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii000000000000000000000000-22−2i2i000011-1-100000000ii−i−i
χ27222-22-2-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i-12-1-1-1222111-2-2-2-21−i−i−i−iiiii-1-1-1-111112i2i−2i−2i−i−i−i−iiiii22-2-22i2i−2i−2i-1-1-1-11111−i−i−i−iiiii000000000000000000000000
χ28222-22-2-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i-12-1-1-1222111-2-2-2-21−i−i−i−iiiii-1-1-1-111112i2i−2i−2i−i−i−i−iiiii-2-222−2i−2i2i2i1111-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ29222-22-2-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i2-1222-1-1-1-2-2-21111-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i0000000000000000000000002-2−2i2i0000-1-11100000000ii−i−i
χ30222-22-2-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i2-1222-1-1-1-2-2-21111-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i000000000000000000000000-222i−2i000011-1-100000000−i−iii
χ31222-22-2-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i-12-1-1-1222111-2-2-2-21iiii−i−i−i−i-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i22-2-2−2i−2i2i2i-1-1-1-11111iiii−i−i−i−i000000000000000000000000
χ32222-22-2-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i-12-1-1-1222111-2-2-2-21iiii−i−i−i−i-1-1-1-11111−2i−2i2i2iiiii−i−i−i−i-2-2222i2i−2i−2i1111-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ3322-22-22-2-2200002-222-2-2-20000222-2-22-2-222-22-2-22-20000000022-2-222-2-200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-22-22-2-2200002-222-2-2-20000222-2-22-2-222-22-2-22-20000000022-2-222-2-20000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-22-22-2-2200002-222-2-2-20000-12-1112-2-2-1-112-2-22133−3−333−3−3-1-111-1-111000033−3−333−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii000000000000000000000000
χ3622-22-22-2-2200002-222-2-2-20000-12-1112-2-2-1-112-2-22133−3−333−3−3-1-111-1-111000033−3−333−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i000000000000000000000000
χ3722-22-22-2-2200002-222-2-2-20000-12-1112-2-2-1-112-2-221−3−333−3−333-1-111-1-1110000−3−333−3−33300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii000000000000000000000000
χ3822-22-22-2-2200002-222-2-2-20000-12-1112-2-2-1-112-2-221−3−333−3−333-1-111-1-1110000−3−333−3−3330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i000000000000000000000000
χ3922-2-2-2-222200002-2-2-22-220000222-2-22-2-2-2-22-222-220000000022-2-2-2-22200000000000000002-2-220000000022-2-2-2-222000000000000000000000000
χ4022-2-2-2-222200002-2-2-22-220000222-2-22-2-2-2-22-222-220000000022-2-2-2-2220000000000000000-222-200000000-2-22222-2-2000000000000000000000000
χ4122-2-2-2-222200002-2-2-22-220000-12-1112-2-211-1-222-2-1−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000−i3−i3i3i3i3i3−i3−i300002-2-22−i3−i3i3i3i3i3−i3−i3-1-11111-1-1000000000000000000000000
χ4222-2-2-2-222200002-2-2-22-220000-12-1112-2-211-1-222-2-1−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000−i3−i3i3i3i3i3−i3−i30000-222-2i3i3−i3−i3−i3−i3i3i311-1-1-1-111000000000000000000000000
χ4322-2-2-2-222200002-2-2-22-220000-12-1112-2-211-1-222-2-1i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000i3i3−i3−i3−i3−i3i3i300002-2-22i3i3−i3−i3−i3−i3i3i3-1-11111-1-1000000000000000000000000
χ4422-2-2-2-222200002-2-2-22-220000-12-1112-2-211-1-222-2-1i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000i3i3−i3−i3−i3−i3i3i30000-222-2−i3−i3i3i3i3i3−i3−i311-1-1-1-111000000000000000000000000
χ452-222-2-22-222i−2i2i−2i-222-2-2-222i−2i2i−2i22-22-2-22-22-2222-2-2-22i−2i2i−2i2i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ462-222-2-22-222i−2i2i−2i-222-2-2-222i−2i2i−2i2-1-22-21-112-22-1-111-22i−2i2i−2i2i−2i2i−2i-11-11-11-11−ii−ii−ii−ii−ii−ii00000000000000000000000000000000−i3i3−i3i3000000003−33−3
χ472-222-2-22-222i−2i2i−2i-222-2-2-222i−2i2i−2i2-1-22-21-112-22-1-111-22i−2i2i−2i2i−2i2i−2i-11-11-11-11−ii−ii−ii−ii−ii−ii00000000000000000000000000000000i3−i3i3−i300000000−33−33
χ482-222-2-22-222i−2i2i−2i-222-2-2-222i−2i2i−2i-121-11-22-2-11-122-2-21−ii−ii−ii−ii-11-11-11-112i−2i2i−2i−ii−ii−ii−ii00000000−i3i3−i3i3−i3i3−i3i33−33−33−33−3000000000000000000000000
χ492-222-2-22-222i−2i2i−2i-222-2-2-222i−2i2i−2i-121-11-22-2-11-122-2-21−ii−ii−ii−ii-11-11-11-112i−2i2i−2i−ii−ii−ii−ii00000000i3−i3i3−i3i3−i3i3−i3−33−33−33−33000000000000000000000000
χ502-222-2-22-22−2i2i−2i2i-222-2-2-22−2i2i−2i2i22-22-2-22-22-2222-2-2-2−2i2i−2i2i−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ512-222-2-22-22−2i2i−2i2i-222-2-2-22−2i2i−2i2i2-1-22-21-112-22-1-111-2−2i2i−2i2i−2i2i−2i2i-11-11-11-11i−ii−ii−ii−ii−ii−i00000000000000000000000000000000−i3i3−i3i300000000−33−33
χ522-222-2-22-22−2i2i−2i2i-222-2-2-22−2i2i−2i2i2-1-22-21-112-22-1-111-2−2i2i−2i2i−2i2i−2i2i-11-11-11-11i−ii−ii−ii−ii−ii−i00000000000000000000000000000000i3−i3i3−i3000000003−33−3
χ532-222-2-22-22−2i2i−2i2i-222-2-2-22−2i2i−2i2i-121-11-22-2-11-122-2-21i−ii−ii−ii−i-11-11-11-11−2i2i−2i2ii−ii−ii−ii−i00000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33000000000000000000000000
χ542-222-2-22-22−2i2i−2i2i-222-2-2-22−2i2i−2i2i-121-11-22-2-11-122-2-21i−ii−ii−ii−i-11-11-11-11−2i2i−2i2ii−ii−ii−ii−i00000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3000000000000000000000000
χ552-22-2-22-2222-2-22-22-222-2-22-2-2222-22-2-22-2-22-2-2-22222-22-2-22-222-22-2-22-222-2-222-22-2-22-22000000000000000000000000000000000000000000000000
χ562-22-2-22-2222-2-22-22-222-2-22-2-222-1-22-21-11-22-211-1-122-22-2-22-22-11-111-11-1-111-1-11-111-11-100000000000000000000000000000000−i3i3i3−i300000000−i3i3i3−i3
χ572-22-2-22-2222-2-22-22-222-2-22-2-222-1-22-21-11-22-211-1-122-22-2-22-22-11-111-11-1-111-1-11-111-11-100000000000000000000000000000000i3−i3−i3i300000000i3−i3−i3i3
χ582-22-2-22-2222-2-22-22-222-2-22-2-22-121-11-22-21-11-2-222-1-11-111-11-1-11-111-11-12-2-22-11-111-11-100000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ592-22-2-22-2222-2-22-22-222-2-22-2-22-121-11-22-21-11-2-222-1-11-111-11-1-11-111-11-12-2-22-11-111-11-100000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ602-22-2-22-222-222-2-22-222-2-2-222-222-22-2-22-2-22-2-2-2222-22-222-22-22-22-2-22-22-222-2-22-222-22-2000000000000000000000000000000000000000000000000
χ612-22-2-22-222-222-2-22-222-2-2-222-22-1-22-21-11-22-211-1-12-22-222-22-2-11-111-11-11-1-111-11-1-11-1100000000000000000000000000000000−i3i3i3−i300000000i3−i3−i3i3
χ622-22-2-22-222-222-2-22-222-2-2-222-22-1-22-21-11-22-211-1-12-22-222-22-2-11-111-11-11-1-111-11-1-11-1100000000000000000000000000000000i3−i3−i3i300000000−i3i3i3−i3
χ632-22-2-22-222-222-2-22-222-2-2-222-2-121-11-22-21-11-2-222-11-11-1-11-11-11-111-11-1-222-21-11-1-11-1100000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ642-22-2-22-222-222-2-22-222-2-2-222-2-121-11-22-21-11-2-222-11-11-1-11-11-11-111-11-1-222-21-11-1-11-1100000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ652-2-222-2-2220000-2-22-222-2000022-2-22-2-222-2-22-22-22000000002-2-222-2-220000000000002-22-200002-2-222-2-2200000000000000000000000000000000
χ662-2-222-2-2220000-2-22-222-2000022-2-22-2-222-2-22-22-22000000002-2-222-2-22000000000000-22-220000-222-2-222-200000000000000000000000000000000
χ672-2-222-2-2220000-2-22-222-20000-1211-1-2-22-1112-22-2-1−i3i3i3−i3−i3i3i3−i3-111-1-111-10000−i3i3i3−i3−i3i3i3−i32-22-20000-111-1-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ682-2-222-2-2220000-2-22-222-20000-1211-1-2-22-1112-22-2-1−i3i3i3−i3−i3i3i3−i3-111-1-111-10000−i3i3i3−i3−i3i3i3−i3-22-2200001-1-111-1-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ692-2-222-2-2220000-2-22-222-20000-1211-1-2-22-1112-22-2-1i3−i3−i3i3i3−i3−i3i3-111-1-111-10000i3−i3−i3i3i3−i3−i3i32-22-20000-111-1-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ702-2-222-2-2220000-2-22-222-20000-1211-1-2-22-1112-22-2-1i3−i3−i3i3i3−i3−i3i3-111-1-111-10000i3−i3−i3i3i3−i3−i3i3-22-2200001-1-111-1-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ712-2-2-2222-220000-2-2-22-222000022-2-22-2-22-222-22-22-2000000002-2-22-222-20000000000002-2-2200002-2-22-222-200000000000000000000000000000000
χ722-2-2-2222-220000-2-2-22-222000022-2-22-2-22-222-22-22-2000000002-2-22-222-2000000000000-222-20000-222-22-2-2200000000000000000000000000000000
χ732-2-2-2222-220000-2-2-22-2220000-1211-1-2-221-1-1-22-2213−3−33−333−3-111-11-1-1100003−3−33−333−32-2-220000-111-11-1-113−3−33−333−3000000000000000000000000
χ742-2-2-2222-220000-2-2-22-2220000-1211-1-2-221-1-1-22-2213−3−33−333−3-111-11-1-1100003−3−33−333−3-222-200001-1-11-111-1−333−33−3−33000000000000000000000000
χ752-2-2-2222-220000-2-2-22-2220000-1211-1-2-221-1-1-22-221−333−33−3−33-111-11-1-110000−333−33−3−332-2-220000-111-11-1-11−333−33−3−33000000000000000000000000
χ762-2-2-2222-220000-2-2-22-2220000-1211-1-2-221-1-1-22-221−333−33−3−33-111-11-1-110000−333−33−3−33-222-200001-1-11-111-13−3−33−333−3000000000000000000000000
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
χ79444-44-4-4-444i4i−4i−4i44-4-4-44-44i4i−4i−4i-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000000000
χ80444-44-4-4-44−4i−4i4i4i44-4-4-44-4−4i−4i4i4i-2-2-2-2-2-2-2-2222222222i2i2i2i−2i−2i−2i−2i1111-1-1-1-12i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ8144-44-44-4-4400004-444-4-4-400004-24-4-4-22244-4-222-2-400000000-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ8244-44-44-4-4400004-444-4-4-40000-2-2-222-222-2-22-222-222323−23−232323−23−2311-1-111-1-10000−3−333−3−333000000000000000000000000000000000000000000000000
χ8344-44-44-4-4400004-444-4-4-40000-2-2-222-222-2-22-222-22−23−232323−23−23232311-1-111-1-1000033−3−333−3−3000000000000000000000000000000000000000000000000
χ8444-4-4-4-444400004-4-4-44-4400004-24-4-4-222-4-442-2-22400000000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-444400004-4-4-44-440000-2-2-222-22222-22-2-22-2−2i3−2i32i32i32i32i3−2i3−2i311-1-1-1-1110000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8644-4-4-4-444400004-4-4-44-440000-2-2-222-22222-22-2-22-22i32i3−2i3−2i3−2i3−2i32i32i311-1-1-1-1110000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ874-444-4-44-444i−4i4i−4i-444-4-4-444i−4i4i−4i-2-22-222-22-22-2-2-2222−2i2i−2i2i−2i2i−2i2i1-11-11-11-1−2i2i−2i2ii−ii−ii−ii−i000000000000000000000000000000000000000000000000
χ884-444-4-44-44−4i4i−4i4i-444-4-4-44−4i4i−4i4i-2-22-222-22-22-2-2-22222i−2i2i−2i2i−2i2i−2i1-11-11-11-12i−2i2i−2i−ii−ii−ii−ii000000000000000000000000000000000000000000000000
χ894-44-4-44-4444-4-44-44-444-4-44-4-44-2-22-222-222-2222-2-2-2-22-222-22-21-11-1-11-11-222-21-11-1-11-11000000000000000000000000000000000000000000000000
χ904-44-4-44-444-444-4-44-444-4-4-444-4-2-22-222-222-2222-2-2-22-22-2-22-221-11-1-11-112-2-22-11-111-11-1000000000000000000000000000000000000000000000000
χ914-4-444-4-4440000-4-44-444-400004-2-4-4422-24-4-4-22-22400000000-222-2-222-2000000000000000000000000000000000000000000000000000000000000
χ924-4-444-4-4440000-4-44-444-40000-2-222-222-2-222-22-22-2−2i32i32i3−2i3−2i32i32i3−2i31-1-111-1-110000i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000000000
χ934-4-444-4-4440000-4-44-444-40000-2-222-222-2-222-22-22-22i3−2i3−2i32i32i3−2i3−2i32i31-1-111-1-110000−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000000000
χ944-4-4-4444-440000-4-4-44-44400004-2-4-4422-2-4442-22-2-400000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000
χ954-4-4-4444-440000-4-4-44-4440000-2-222-222-22-2-22-22-2223−23−2323−232323−231-1-11-111-10000−333−33−3−33000000000000000000000000000000000000000000000000
χ964-4-4-4444-440000-4-4-44-4440000-2-222-222-22-2-22-22-22−232323−2323−23−23231-1-11-111-100003−3−33−333−3000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-10000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-20000111111110000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000000022-2-20000-1-1-1-111110000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-10000
χ101666-66-6-6-6-36i6i−6i−6i-3-3333-33−3i−3i3i3i0000000000000000000000000000000000000000000000000000000000000000000000002-22i−2i0000-1-111−i−iii0000
χ102666-66-6-6-6-36i6i−6i−6i-3-3333-33−3i−3i3i3i000000000000000000000000000000000000000000000000000000000000000000000000-22−2i2i000011-1-1ii−i−i0000
χ103666-66-6-6-6-3−6i−6i6i6i-3-3333-333i3i−3i−3i0000000000000000000000000000000000000000000000000000000000000000000000002-2−2i2i0000-1-111ii−i−i0000
χ104666-66-6-6-6-3−6i−6i6i6i-3-3333-333i3i−3i−3i000000000000000000000000000000000000000000000000000000000000000000000000-222i−2i000011-1-1−i−iii0000
χ1056-666-6-66-6-36i−6i6i−6i3-3-3333-3−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000000000000000000000003−33−3−i3i3−i3i30000
χ1066-666-6-66-6-36i−6i6i−6i3-3-3333-3−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000000000−33−33i3−i3i3−i30000
χ1076-666-6-66-6-3−6i6i−6i6i3-3-3333-33i−3i3i−3i000000000000000000000000000000000000000000000000000000000000000000000000000000003−33−3i3−i3i3−i30000
χ1086-666-6-66-6-3−6i6i−6i6i3-3-3333-33i−3i3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000000000−33−33−i3i3−i3i30000
χ1096-66-6-66-66-36-6-663-33-3-333-333-3000000000000000000000000000000000000000000000000000000000000000000000000000000003−3−33−333−30000
χ1106-66-6-66-66-36-6-663-33-3-333-333-300000000000000000000000000000000000000000000000000000000000000000000000000000000−333−33−3−330000
χ1116-66-6-66-66-3-666-63-33-3-3333-3-33000000000000000000000000000000000000000000000000000000000000000000000000000000003−3−333−3−330000
χ1126-66-6-66-66-3-666-63-33-3-3333-3-3300000000000000000000000000000000000000000000000000000000000000000000000000000000−333−3−333−30000
χ1131212-1212-1212-12-12-60000-66-6-6666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-12-121212-60000-6666-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-121212-12-1212-6000066-66-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-12-12121212-12-60000666-66-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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