Finite Group Databasebeta

← Group #13140150

Character table — Group #13140150

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12222222344446666666121212123366666666666666121212121212121236666666121212121212121212121212222244446666666612121212121212124444444412121212121212121212121212121212
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
χ9111-1-1-1-11111-1-111-1-11-1-111-1-11111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ10111-1-1-1-11111-1-111-1-11-1-111-1-11111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ11111-1-1-1-11111-1-111-1-11-1-111-1-11111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ12111-1-1-1-11111-1-111-1-11-1-111-1-11111-1-111-1-1-1-11-1-111111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ13111-1-1-1-111-1-11111-1-11-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ14111-1-1-1-111-1-11111-1-11-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ15111-1-1-1-111-1-11111-1-11-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ16111-1-1-1-111-1-11111-1-11-1-1-1-1111111-1-111-1-1-1-11-1-11-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-12222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1-1-1-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-1-1-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ21222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-1-1-1222-111111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ22222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-1-1-1222-111111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-1222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-1222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ25222-2-2-2-22222-2-222-2-22-2-222-2-22-122-2-2-1-111112-2-2-1-1-1-1-11111-1-1-11111-122-2-2-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ26222-2-2-2-22222-2-222-2-22-2-222-2-22-122-2-2-1-111112-2-2-1-1-1-1-11111-1-1-11111-122-2-2-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ27222-2-2-2-22222-2-222-2-22-2-222-2-2-12-1-11122-2-2-2-2-11122222-2-2-2-2-1-1-11111-1-1-111-1-1-1-1111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ28222-2-2-2-22222-2-222-2-22-2-222-2-2-12-1-11122-2-2-2-2-11122222-2-2-2-2-1-1-11111-1-1-111-1-1-1-111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ29222-2-2-2-222-2-22222-2-22-2-2-2-2222-122-2-2-1-111112-2-2-11111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ30222-2-2-2-222-2-22222-2-22-2-2-2-2222-122-2-2-1-111112-2-2-11111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ31222-2-2-2-222-2-22222-2-22-2-2-2-222-12-1-11122-2-2-2-2-1112-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ32222-2-2-2-222-2-22222-2-22-2-2-2-222-12-1-11122-2-2-2-2-1112-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ3322-222-2-2-2200002-222-2-2-20000222-2-2-22-222-2-2-222-20000000022-222-2-2-200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-222-2-2-2200002-222-2-2-20000222-2-2-22-222-2-2-222-20000000022-222-2-2-20000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-222-2-2-2200002-222-2-2-200002-12-2-2-2-11-1-111-222133−3−333−3−3-1-11-1-1111000033−3−333−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3−i−iii−i−iii000000000000000000000000
χ3622-222-2-2-2200002-222-2-2-200002-12-2-2-2-11-1-111-222133−3−333−3−3-1-11-1-1111000033−3−333−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3ii−i−iii−i−i000000000000000000000000
χ3722-222-2-2-2200002-222-2-2-200002-12-2-2-2-11-1-111-2221−3−333−3−333-1-11-1-11110000−3−333−3−33300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3−i−iii−i−iii000000000000000000000000
χ3822-222-2-2-2200002-222-2-2-200002-12-2-2-2-11-1-111-2221−3−333−3−333-1-11-1-11110000−3−333−3−3330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3ii−i−iii−i−i000000000000000000000000
χ3922-2-2-222-2200002-2-2-2-2220000222-2222-2-2-222-2-2-2-20000000022-2-2-222-200000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-2-222-2200002-2-2-2-2220000222-2222-2-2-222-2-2-2-20000000022-2-2-222-20000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-2-222-2200002-2-2-2-22200002-12-222-1111-1-1-2-2-2133−3−3−3−333-1-1111-1-11000033−3−3−3−33300002i−2i−2i2i−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i000000000000000000000000
χ4222-2-2-222-2200002-2-2-2-22200002-12-222-1111-1-1-2-2-2133−3−3−3−333-1-1111-1-11000033−3−3−3−3330000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i3ii−i−i−i−iii000000000000000000000000
χ4322-2-2-222-2200002-2-2-2-22200002-12-222-1111-1-1-2-2-21−3−33333−3−3-1-1111-1-110000−3−33333−3−300002i−2i−2i2ii3i3−i3−i3−i3−i3i3i3−i−iiiii−i−i000000000000000000000000
χ4422-2-2-222-2200002-2-2-2-22200002-12-222-1111-1-1-2-2-21−3−33333−3−3-1-1111-1-110000−3−33333−3−30000−2i2i2i−2i−i3−i3i3i3i3i3−i3−i3ii−i−i−i−iii000000000000000000000000
χ452-222-22-2-222i−2i2i−2i-222-2-22-22i−2i2i−2i22-222-2-222-22-2-22-2-22i−2i2i−2i2i−2i2i−2i2-222-22-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ462-222-22-2-222i−2i2i−2i-222-2-22-22i−2i2i−2i2-1-222-21-1-11-11-22-21−ii−ii−ii−ii-11-1-11-1112i−2i2i−2i−ii−ii−ii−ii00000000−i3i3−i3i3−i3i3−i3i33−33−33−33−3000000000000000000000000
χ472-222-22-2-222i−2i2i−2i-222-2-22-22i−2i2i−2i2-1-222-21-1-11-11-22-21−ii−ii−ii−ii-11-1-11-1112i−2i2i−2i−ii−ii−ii−ii00000000i3−i3i3−i3i3−i3i3−i3−33−33−33−33000000000000000000000000
χ482-222-22-2-222i−2i2i−2i-222-2-22-22i−2i2i−2i-121-1-11-222-22-21-11-22i−2i2i−2i2i−2i2i−2i-11-1-11-111−ii−ii−ii−ii−ii−ii00000000000000000000000000000000000000003−33−3−i3i3−i3i3
χ492-222-22-2-222i−2i2i−2i-222-2-22-22i−2i2i−2i-121-1-11-222-22-21-11-22i−2i2i−2i2i−2i2i−2i-11-1-11-111−ii−ii−ii−ii−ii−ii0000000000000000000000000000000000000000−33−33i3−i3i3−i3
χ502-222-22-2-22−2i2i−2i2i-222-2-22-2−2i2i−2i2i22-222-2-222-22-2-22-2-2−2i2i−2i2i−2i2i−2i2i2-222-22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ512-222-22-2-22−2i2i−2i2i-222-2-22-2−2i2i−2i2i2-1-222-21-1-11-11-22-21i−ii−ii−ii−i-11-1-11-111−2i2i−2i2ii−ii−ii−ii−i00000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33000000000000000000000000
χ522-222-22-2-22−2i2i−2i2i-222-2-22-2−2i2i−2i2i2-1-222-21-1-11-11-22-21i−ii−ii−ii−i-11-1-11-111−2i2i−2i2ii−ii−ii−ii−i00000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3000000000000000000000000
χ532-222-22-2-22−2i2i−2i2i-222-2-22-2−2i2i−2i2i-121-1-11-222-22-21-11-2−2i2i−2i2i−2i2i−2i2i-11-1-11-111i−ii−ii−ii−ii−ii−i00000000000000000000000000000000000000003−33−3i3−i3i3−i3
χ542-222-22-2-22−2i2i−2i2i-222-2-22-2−2i2i−2i2i-121-1-11-222-22-21-11-2−2i2i−2i2i−2i2i−2i2i-11-1-11-111i−ii−ii−ii−ii−ii−i0000000000000000000000000000000000000000−33−33−i3i3−i3i3
χ552-22-22-22-222i−2i−2i2i-22-22-2-222i−2i−2i2i22-22-22-22-22-22-2-22-22i−2i2i−2i−2i2i−2i2i2-22-22-22-22i−2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ562-22-22-22-222i−2i−2i2i-22-22-2-222i−2i−2i2i2-1-22-221-11-11-1-2-221−ii−iii−ii−i-11-11-11-112i−2i−2i2i−ii−iii−ii−i00000000−i3i3−i3i3i3−i3i3−i33−33−3−33−33000000000000000000000000
χ572-22-22-22-222i−2i−2i2i-22-22-2-222i−2i−2i2i2-1-22-221-11-11-1-2-221−ii−iii−ii−i-11-11-11-112i−2i−2i2i−ii−iii−ii−i00000000i3−i3i3−i3−i3i3−i3i3−33−333−33−3000000000000000000000000
χ582-22-22-22-222i−2i−2i2i-22-22-2-222i−2i−2i2i-121-11-1-22-22-2211-1-22i−2i2i−2i−2i2i−2i2i-11-11-11-11−iii−i−ii−iii−ii−i0000000000000000000000000000000000000000−i3i3i3−i3−333−3
χ592-22-22-22-222i−2i−2i2i-22-22-2-222i−2i−2i2i-121-11-1-22-22-2211-1-22i−2i2i−2i−2i2i−2i2i-11-11-11-11−iii−i−ii−iii−ii−i0000000000000000000000000000000000000000i3−i3−i3i33−3−33
χ602-22-22-22-22−2i2i2i−2i-22-22-2-22−2i2i2i−2i22-22-22-22-22-22-2-22-2−2i2i−2i2i2i−2i2i−2i2-22-22-22-2−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ612-22-22-22-22−2i2i2i−2i-22-22-2-22−2i2i2i−2i2-1-22-221-11-11-1-2-221i−ii−i−ii−ii-11-11-11-11−2i2i2i−2ii−ii−i−ii−ii00000000−i3i3−i3i3i3−i3i3−i3−33−333−33−3000000000000000000000000
χ622-22-22-22-22−2i2i2i−2i-22-22-2-22−2i2i2i−2i2-1-22-221-11-11-1-2-221i−ii−i−ii−ii-11-11-11-11−2i2i2i−2ii−ii−i−ii−ii00000000i3−i3i3−i3−i3i3−i3i33−33−3−33−33000000000000000000000000
χ632-22-22-22-22−2i2i2i−2i-22-22-2-22−2i2i2i−2i-121-11-1-22-22-2211-1-2−2i2i−2i2i2i−2i2i−2i-11-11-11-11i−i−iii−ii−i−ii−ii0000000000000000000000000000000000000000−i3i3i3−i33−3−33
χ642-22-22-22-22−2i2i2i−2i-22-22-2-22−2i2i2i−2i-121-11-1-22-22-2211-1-2−2i2i−2i2i2i−2i2i−2i-11-11-11-11i−i−iii−ii−i−ii−ii0000000000000000000000000000000000000000i3−i3−i3i3−333−3
χ652-2-22-2-22220000-2-22-22-22000022-2-2-22-2-22-2-2222-22000000002-2-22-2-2220000000000002-22-200002-2-222-2-2200000000000000000000000000000000
χ662-2-22-2-22220000-2-22-22-22000022-2-2-22-2-22-2-2222-22000000002-2-22-2-222000000000000-22-220000-222-2-222-200000000000000000000000000000000
χ672-2-22-2-22220000-2-22-22-2200002-1-2-2-2211-111-122-2-1−i3i3i3−i3−i3i3i3−i3-111-111-1-10000−i3i3i3−i3−i3i3i3−i32-22-20000-111-1-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ682-2-22-2-22220000-2-22-22-2200002-1-2-2-2211-111-122-2-1−i3i3i3−i3−i3i3i3−i3-111-111-1-10000−i3i3i3−i3−i3i3i3−i3-22-2200001-1-111-1-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ692-2-22-2-22220000-2-22-22-2200002-1-2-2-2211-111-122-2-1i3−i3−i3i3i3−i3−i3i3-111-111-1-10000i3−i3−i3i3i3−i3−i3i32-22-20000-111-1-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ702-2-22-2-22220000-2-22-22-2200002-1-2-2-2211-111-122-2-1i3−i3−i3i3i3−i3−i3i3-111-111-1-10000i3−i3−i3i3i3−i3−i3i3-22-2200001-1-111-1-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ712-2-2-222-2220000-2-2-2222-2000022-2-22-2-2-2-222-22-222000000002-2-2-222-220000000000002-2-2200002-2-22-222-200000000000000000000000000000000
χ722-2-2-222-2220000-2-2-2222-2000022-2-22-2-2-2-222-22-222000000002-2-2-222-22000000000000-222-20000-222-22-2-2200000000000000000000000000000000
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χ752-2-2-222-2220000-2-2-2222-200002-1-2-22-2111-1-112-22-1i3−i3−i3i3−i3i3i3−i3-1111-1-11-10000i3−i3−i3i3−i3i3i3−i32-2-220000-111-11-1-11i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ762-2-2-222-2220000-2-2-2222-200002-1-2-22-2111-1-112-22-1i3−i3−i3i3−i3i3i3−i3-1111-1-11-10000i3−i3−i3i3−i3i3i3−i3-222-200001-1-11-111-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000
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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
χ79444-4-4-4-44444-4-444-4-44-4-444-4-4-2-2-2-222-2-22222-222-2-2-2-2-22222111-1-1-1-11-2-2221111-1-1-1-1000000000000000000000000000000000000000000000000
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χ8144-444-4-4-4400004-444-4-4-40000-24-22224-444-4-42-2-2-400000000-2-22-2-2222000000000000000000000000000000000000000000000000000000000000
χ8244-444-4-4-4400004-444-4-4-40000-2-2-2222-22-2-2222-2-222323−23−232323−23−2311-111-1-1-10000−3−333−3−333000000000000000000000000000000000000000000000000
χ8344-444-4-4-4400004-444-4-4-40000-2-2-2222-22-2-2222-2-22−23−232323−23−23232311-111-1-1-1000033−3−333−3−3000000000000000000000000000000000000000000000000
χ8444-4-4-444-4400004-4-4-4-4440000-24-22-2-24-4-4-444222-400000000-2-2222-2-22000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-444-4400004-4-4-4-4440000-2-2-22-2-2-2222-2-222222323−23−23−23−23232311-1-1-111-10000−3−33333−3−3000000000000000000000000000000000000000000000000
χ8644-4-4-444-4400004-4-4-4-4440000-2-2-22-2-2-2222-2-22222−23−2323232323−23−2311-1-1-111-1000033−3−3−3−333000000000000000000000000000000000000000000000000
χ874-444-44-4-444i−4i4i−4i-444-4-44-44i−4i4i−4i-2-22-2-222-2-22-222-222−2i2i−2i2i−2i2i−2i2i1-111-11-1-1−2i2i−2i2ii−ii−ii−ii−i000000000000000000000000000000000000000000000000
χ884-444-44-4-44−4i4i−4i4i-444-4-44-4−4i4i−4i4i-2-22-2-222-2-22-222-2222i−2i2i−2i2i−2i2i−2i1-111-11-1-12i−2i2i−2i−ii−ii−ii−ii000000000000000000000000000000000000000000000000
χ894-44-44-44-444i−4i−4i4i-44-44-4-444i−4i−4i4i-2-22-22-22-22-22-222-22−2i2i−2i2i2i−2i2i−2i1-11-11-11-1−2i2i2i−2ii−ii−i−ii−ii000000000000000000000000000000000000000000000000
χ904-44-44-44-44−4i4i4i−4i-44-44-4-44−4i4i4i−4i-2-22-22-22-22-22-222-222i−2i2i−2i−2i2i−2i2i1-11-11-11-12i−2i−2i2i−ii−iii−ii−i000000000000000000000000000000000000000000000000
χ914-4-44-4-44440000-4-44-44-440000-24222-2-4-44-4-44-2-22400000000-222-222-2-2000000000000000000000000000000000000000000000000000000000000
χ924-4-44-4-44440000-4-44-44-440000-2-2222-222-222-2-2-22-2−2i32i32i3−2i3−2i32i32i3−2i31-1-11-1-1110000i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000000000
χ934-4-44-4-44440000-4-44-44-440000-2-2222-222-222-2-2-22-22i3−2i3−2i32i32i3−2i3−2i32i31-1-11-1-1110000−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000000000
χ944-4-4-444-4440000-4-4-4444-40000-2422-22-4-4-444-4-22-2400000000-2222-2-22-2000000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-4440000-4-4-4444-40000-2-222-22222-2-22-22-2-2−2i32i32i3−2i32i3−2i3−2i32i31-1-1-111-110000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000000000
χ964-4-4-444-4440000-4-4-4444-40000-2-222-22222-2-22-22-2-22i3−2i3−2i32i3−2i32i32i3−2i31-1-1-111-110000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000000000
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
χ101666-6-6-6-66-366-6-6-3-333-333-3-333000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ102666-6-6-6-66-366-6-6-3-333-333-3-33300000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ103666-6-6-6-66-3-6-666-3-333-33333-3-3000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ104666-6-6-6-66-3-6-666-3-333-33333-3-300000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ1056-666-66-6-6-36i−6i6i−6i3-3-333-33−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i33−33−300000000
χ1066-666-66-6-6-36i−6i6i−6i3-3-333-33−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ1076-666-66-6-6-3−6i6i−6i6i3-3-333-333i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ1086-666-66-6-6-3−6i6i−6i6i3-3-333-333i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i33−33−300000000
χ1096-66-66-66-6-36i−6i−6i6i3-33-333-3−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000000000000000000003−3−33i3−i3−i3i300000000
χ1106-66-66-66-6-36i−6i−6i6i3-33-333-3−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−333−3−i3i3i3−i300000000
χ1116-66-66-66-6-3−6i6i6i−6i3-33-333-33i−3i−3i3i00000000000000000000000000000000000000000000000000000000000000000000000000003−3−33−i3i3i3−i300000000
χ1126-66-66-66-6-3−6i6i6i−6i3-33-333-33i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−333−3i3−i3−i3i300000000
χ1131212-121212-12-12-12-60000-66-6-6666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-121212-12-60000-66666-6-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-1212-12-121212-6000066-66-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-12-121212-1212-60000666-6-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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