Finite Group Databasebeta

← Group #13140147

Character table — Group #13140147

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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
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
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ911-1-111-1-11ii−i−i11-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−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−i11-1-1ii−i−i11-1-1ii−i−i
χ1011-1-111-1-11ii−i−i11-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−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−i−iii-1-111−i−iii
χ1111-1-111-1-11ii−i−i11-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−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−ii-1-111−i−iii11-1-1ii−i−i
χ1211-1-111-1-11ii−i−i11-1-1-11-1ii−i−i1111-1-1111-1-1-1-11-1-1iiii−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−i11-1-1ii−i−i-1-111−i−iii
χ1311-1-111-1-11−i−iii11-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−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−ii11-1-1−i−iii11-1-1−i−iii
χ1411-1-111-1-11−i−iii11-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−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-1-111ii−i−i-1-111ii−i−i
χ1511-1-111-1-11−i−iii11-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−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−i-1-111ii−i−i11-1-1−i−iii
χ1611-1-111-1-11−i−iii11-1-1-11-1−i−iii1111-1-1111-1-1-1-11-1-1−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−ii11-1-1−i−iii-1-111ii−i−i
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
χ19222222222222222222222222-12-1-1-1-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222000000000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-1-1-1222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-200000000000011111111
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
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-1222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000000000000022-2-2000000000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-1222222-1-1-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2220000000000001111-1-1-1-1
χ252222-2-2-2-2200002-222-2-2-20000222-2222-2-222-2-2-2-2-20000000022-2-222-2-20000000000002-22-2000022-2-222-2-200000000000000000000000000000000
χ262222-2-2-2-2200002-222-2-2-20000222-2222-2-222-2-2-2-2-20000000022-2-222-2-2000000000000-22-220000-2-222-2-22200000000000000000000000000000000
χ272222-2-2-2-2200002-222-2-2-200002-12-222-111-1-11-2-2-2133−3−333−3−3-1-111-1-111000033−3−333−3−32-22-20000-1-111-1-11133−3−333−3−3000000000000000000000000
χ282222-2-2-2-2200002-222-2-2-200002-12-222-111-1-11-2-2-2133−3−333−3−3-1-111-1-111000033−3−333−3−3-22-22000011-1-111-1-1−3−333−3−333000000000000000000000000
χ292222-2-2-2-2200002-222-2-2-200002-12-222-111-1-11-2-2-21−3−333−3−333-1-111-1-1110000−3−333−3−3332-22-20000-1-111-1-111−3−333−3−333000000000000000000000000
χ302222-2-2-2-2200002-222-2-2-200002-12-222-111-1-11-2-2-21−3−333−3−333-1-111-1-1110000−3−333−3−333-22-22000011-1-111-1-133−3−333−3−3000000000000000000000000
χ3122-2-222-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i2-122-2-2-1-1-1111-22-21−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
χ3222-2-222-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i2-122-2-2-1-1-1111-22-21−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
χ3322-2-222-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i-12-1-111222-2-2-21-11-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii0000000000000000000000002-22i−2i000000000000-1-111−i−iii
χ3422-2-222-2-222i2i−2i−2i22-2-2-22-22i2i−2i−2i-12-1-111222-2-2-21-11-22i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii000000000000000000000000-22−2i2i00000000000011-1-1ii−i−i
χ3522-2-222-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i2-122-2-2-1-1-1111-22-21iiii−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
χ3622-2-222-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i2-122-2-2-1-1-1111-22-21iiii−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
χ3722-2-222-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i-12-1-111222-2-2-21-11-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i0000000000000000000000002-2−2i2i000000000000-1-111ii−i−i
χ3822-2-222-2-22−2i−2i2i2i22-2-2-22-2−2i−2i2i2i-12-1-111222-2-2-21-11-2−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i000000000000000000000000-222i−2i00000000000011-1-1−i−iii
χ3922-2-2-2-222200002-2-2-22-220000222-2-2-22-2-2-2-222-2220000000022-2-2-2-2220000000000002-2-22000022-2-2-2-22200000000000000000000000000000000
χ4022-2-2-2-222200002-2-2-22-220000222-2-2-22-2-2-2-222-2220000000022-2-2-2-222000000000000-222-20000-2-22222-2-200000000000000000000000000000000
χ4122-2-2-2-222200002-2-2-22-2200002-12-2-2-2-11111-12-22-1−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000−i3−i3i3i3i3i3−i3−i32-2-220000-1-11111-1-1−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ4222-2-2-2-222200002-2-2-22-2200002-12-2-2-2-11111-12-22-1−i3−i3i3i3i3i3−i3−i3-1-11111-1-10000−i3−i3i3i3i3i3−i3−i3-222-2000011-1-1-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ4322-2-2-2-222200002-2-2-22-2200002-12-2-2-2-11111-12-22-1i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000i3i3−i3−i3−i3−i3i3i32-2-220000-1-11111-1-1i3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ4422-2-2-2-222200002-2-2-22-2200002-12-2-2-2-11111-12-22-1i3i3−i3−i3−i3−i3i3i3-1-11111-1-10000i3i3−i3−i3−i3−i3i3i3-222-2000011-1-1-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ452-22-22-22-220000-222-22-2-2000022-2-22-2-22-22-22-222-2000000002-22-22-22-200000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ462-22-22-22-220000-222-22-2-2000022-2-22-2-22-22-22-222-2000000002-22-22-22-20000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ472-22-22-22-220000-222-22-2-200002-1-2-22-21-11-11-1-22213−33−33−33−3-11-11-11-1100003−33−33−33−300002i−2i2i−2i−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii000000000000000000000000
χ482-22-22-22-220000-222-22-2-200002-1-2-22-21-11-11-1-22213−33−33−33−3-11-11-11-1100003−33−33−33−30000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i000000000000000000000000
χ492-22-22-22-220000-222-22-2-200002-1-2-22-21-11-11-1-2221−33−33−33−33-11-11-11-110000−33−33−33−3300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii000000000000000000000000
χ502-22-22-22-220000-222-22-2-200002-1-2-22-21-11-11-1-2221−33−33−33−33-11-11-11-110000−33−33−33−330000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i000000000000000000000000
χ512-22-2-22-2222-22-2-2-22-2-2222-22-222-222-2-2-222-2-22-2-222-2-222-2-222-2-222-2-222-22-22-2-222-2-22000000000000000000000000000000000000000000000000
χ522-22-2-22-2222-22-2-2-22-2-2222-22-22-1-222-211-1-1112-2-2-1-111-1-111-1-111-1-111-12-22-2-111-1-111-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ532-22-2-22-2222-22-2-2-22-2-2222-22-22-1-222-211-1-1112-2-2-1-111-1-111-1-111-1-111-12-22-2-111-1-111-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ542-22-2-22-2222-22-2-2-22-2-2222-22-2-121-1-11-2-222-2-2-11122-2-222-2-22-111-1-111-1-11-11-111-1-111-100000000000000000000000000000000000000003−33−33−33−3
χ552-22-2-22-2222-22-2-2-22-2-2222-22-2-121-1-11-2-222-2-2-11122-2-222-2-22-111-1-111-1-11-11-111-1-111-10000000000000000000000000000000000000000−33−33−33−33
χ562-22-2-22-222-22-22-2-22-2-222-22-2222-222-2-2-222-2-22-2-22-222-2-222-22-2-222-2-22-22-22-222-2-222-2000000000000000000000000000000000000000000000000
χ572-22-2-22-222-22-22-2-22-2-222-22-222-1-222-211-1-1112-2-2-11-1-111-1-11-111-1-111-1-22-221-1-111-1-1100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ582-22-2-22-222-22-22-2-22-2-222-22-222-1-222-211-1-1112-2-2-11-1-111-1-11-111-1-111-1-22-221-1-111-1-1100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ592-22-2-22-222-22-22-2-22-2-222-22-22-121-1-11-2-222-2-2-1112-222-2-222-2-111-1-111-11-11-11-1-111-1-1100000000000000000000000000000000000000003−33−3−33−33
χ602-22-2-22-222-22-22-2-22-2-222-22-22-121-1-11-2-222-2-2-1112-222-2-222-2-111-1-111-11-11-11-1-111-1-110000000000000000000000000000000000000000−33−333−33−3
χ612-2-222-2-2220000-22-22-2-22000022-2-2-22-22-2-22-222-22000000002-22-2-22-2200000000000000002-2-22000000002-22-2-22-22000000000000000000000000
χ622-2-222-2-2220000-22-22-2-22000022-2-2-22-22-2-22-222-22000000002-22-2-22-220000000000000000-222-200000000-22-222-22-2000000000000000000000000
χ632-2-222-2-2220000-22-22-2-2200002-1-2-2-221-111-1122-2-1−i3i3−i3i3i3−i3i3−i3-11-111-11-10000−i3i3−i3i3i3−i3i3−i300002-2-22−i3i3−i3i3i3−i3i3−i3-11-111-11-1000000000000000000000000
χ642-2-222-2-2220000-22-22-2-2200002-1-2-2-221-111-1122-2-1−i3i3−i3i3i3−i3i3−i3-11-111-11-10000−i3i3−i3i3i3−i3i3−i30000-222-2i3−i3i3−i3−i3i3−i3i31-11-1-11-11000000000000000000000000
χ652-2-222-2-2220000-22-22-2-2200002-1-2-2-221-111-1122-2-1i3−i3i3−i3−i3i3−i3i3-11-111-11-10000i3−i3i3−i3−i3i3−i3i300002-2-22i3−i3i3−i3−i3i3−i3i3-11-111-11-1000000000000000000000000
χ662-2-222-2-2220000-22-22-2-2200002-1-2-2-221-111-1122-2-1i3−i3i3−i3−i3i3−i3i3-11-111-11-10000i3−i3i3−i3−i3i3−i3i30000-222-2−i3i3−i3i3i3−i3i3−i31-11-1-11-11000000000000000000000000
χ672-2-22-222-222i−2i−2i2i-2-2-2222-22i−2i−2i2i22-22-22-2-22-222-2-22-22i−2i−2i2i−2i2i2i−2i2-2-22-222-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ682-2-22-222-222i−2i−2i2i-2-2-2222-22i−2i−2i2i2-1-22-2211-11-1-1-2-221−iii−ii−i−ii-111-11-1-112i−2i−2i2i−iii−ii−i−ii00000000−i3i3i3−i3i3−i3−i3i33−3−33−333−3000000000000000000000000
χ692-2-22-222-222i−2i−2i2i-2-2-2222-22i−2i−2i2i2-1-22-2211-11-1-1-2-221−iii−ii−i−ii-111-11-1-112i−2i−2i2i−iii−ii−i−ii00000000i3−i3−i3i3−i3i3i3−i3−333−33−3−33000000000000000000000000
χ702-2-22-222-222i−2i−2i2i-2-2-2222-22i−2i−2i2i-121-11-1-2-22-22211-1-22i−2i−2i2i−2i2i2i−2i-111-11-1-11−iii−i−iii−ii−i−ii00000000000000000000000000000000000000003−3−33i3−i3−i3i3
χ712-2-22-222-222i−2i−2i2i-2-2-2222-22i−2i−2i2i-121-11-1-2-22-22211-1-22i−2i−2i2i−2i2i2i−2i-111-11-1-11−iii−i−iii−ii−i−ii0000000000000000000000000000000000000000−333−3−i3i3i3−i3
χ722-2-22-222-22−2i2i2i−2i-2-2-2222-2−2i2i2i−2i22-22-22-2-22-222-2-22-2−2i2i2i−2i2i−2i−2i2i2-2-22-222-2−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ732-2-22-222-22−2i2i2i−2i-2-2-2222-2−2i2i2i−2i2-1-22-2211-11-1-1-2-221i−i−ii−iii−i-111-11-1-11−2i2i2i−2ii−i−ii−iii−i00000000−i3i3i3−i3i3−i3−i3i3−333−33−3−33000000000000000000000000
χ742-2-22-222-22−2i2i2i−2i-2-2-2222-2−2i2i2i−2i2-1-22-2211-11-1-1-2-221i−i−ii−iii−i-111-11-1-11−2i2i2i−2ii−i−ii−iii−i00000000i3−i3−i3i3−i3i3i3−i33−3−33−333−3000000000000000000000000
χ752-2-22-222-22−2i2i2i−2i-2-2-2222-2−2i2i2i−2i-121-11-1-2-22-22211-1-2−2i2i2i−2i2i−2i−2i2i-111-11-1-11i−i−iii−i−ii−iii−i00000000000000000000000000000000000000003−3−33−i3i3i3−i3
χ762-2-22-222-22−2i2i2i−2i-2-2-2222-2−2i2i2i−2i-121-11-1-2-22-22211-1-2−2i2i2i−2i2i−2i−2i2i-111-11-1-11i−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
χ794444-4-4-4-4400004-444-4-4-40000-24-22-2-24-4-444-4222-400000000-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4400004-444-4-4-40000-2-2-22-2-2-222-2-2222222323−23−232323−23−2311-1-111-1-10000−3−333−3−333000000000000000000000000000000000000000000000000
χ814444-4-4-4-4400004-444-4-4-40000-2-2-22-2-2-222-2-222222−23−232323−23−23232311-1-111-1-1000033−3−333−3−3000000000000000000000000000000000000000000000000
χ8244-4-444-4-444i4i−4i−4i44-4-4-44-44i4i−4i−4i-2-2-2-222-2-2-22222-222−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000000000
χ8344-4-444-4-44−4i−4i4i4i44-4-4-44-4−4i−4i4i4i-2-2-2-222-2-2-22222-2222i2i2i2i−2i−2i−2i−2i1111-1-1-1-12i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ8444-4-4-4-444400004-4-4-44-440000-24-22224-4-4-4-44-22-2400000000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-444400004-4-4-44-440000-2-2-2222-22222-2-22-2-2−2i3−2i32i32i32i32i3−2i3−2i311-1-1-1-1110000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8644-4-4-4-444400004-4-4-44-440000-2-2-2222-22222-2-22-2-22i32i3−2i3−2i3−2i3−2i32i32i311-1-1-1-1110000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ874-44-44-44-440000-444-44-4-40000-2422-22-44-44-442-2-2-400000000-22-22-22-22000000000000000000000000000000000000000000000000000000000000
χ884-44-44-44-440000-444-44-4-40000-2-222-222-22-22-22-2-2223−2323−2323−2323−231-11-11-11-10000−33−33−33−33000000000000000000000000000000000000000000000000
χ894-44-44-44-440000-444-44-4-40000-2-222-222-22-22-22-2-22−2323−2323−2323−23231-11-11-11-100003−33−33−33−3000000000000000000000000000000000000000000000000
χ904-44-4-44-4444-44-4-4-44-4-4444-44-4-2-22-2-2222-2-222-222-2-222-2-222-21-1-111-1-11-22-221-1-111-1-11000000000000000000000000000000000000000000000000
χ914-44-4-44-444-44-44-4-44-4-444-44-44-2-22-2-2222-2-222-222-22-2-222-2-221-1-111-1-112-22-2-111-1-111-1000000000000000000000000000000000000000000000000
χ924-4-444-4-4440000-44-44-4-440000-24222-2-44-4-44-4-2-22400000000-22-222-22-2000000000000000000000000000000000000000000000000000000000000
χ934-4-444-4-4440000-44-44-4-440000-2-2222-22-222-22-2-22-2−2i32i3−2i32i32i3−2i32i3−2i31-11-1-11-110000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ944-4-444-4-4440000-44-44-4-440000-2-2222-22-222-22-2-22-22i3−2i32i3−2i3−2i32i3−2i32i31-11-1-11-110000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ954-4-44-444-444i−4i−4i4i-4-4-4444-44i−4i−4i4i-2-22-22-222-22-2-222-22−2i2i2i−2i2i−2i−2i2i1-1-11-111-1−2i2i2i−2ii−i−ii−iii−i000000000000000000000000000000000000000000000000
χ964-4-44-444-44−4i4i4i−4i-4-4-4444-4−4i4i4i−4i-2-22-22-222-22-2-222-222i−2i−2i2i−2i2i2i−2i1-1-11-111-12i−2i−2i2i−iii−ii−i−ii000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000000000-2-2-2-21111111100000000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000000022-2-2-1-1-1-1111100000000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000000000-2-2221111-1-1-1-100000000
χ10166-6-666-6-6-36i6i−6i−6i-3-3333-33−3i−3i3i3i0000000000000000000000000000000000000000000000000000000000000000000000002-22i−2i-1-111−i−iii00000000
χ10266-6-666-6-6-36i6i−6i−6i-3-3333-33−3i−3i3i3i000000000000000000000000000000000000000000000000000000000000000000000000-22−2i2i11-1-1ii−i−i00000000
χ10366-6-666-6-6-3−6i−6i6i6i-3-3333-333i3i−3i−3i0000000000000000000000000000000000000000000000000000000000000000000000002-2−2i2i-1-111ii−i−i00000000
χ10466-6-666-6-6-3−6i−6i6i6i-3-3333-333i3i−3i−3i000000000000000000000000000000000000000000000000000000000000000000000000-222i−2i11-1-1−i−iii00000000
χ1056-66-6-66-66-36-66-633-333-3-3-33-330000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ1066-66-6-66-66-36-66-633-333-3-3-33-330000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ1076-66-6-66-66-3-66-6633-333-3-33-33-30000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ1086-66-6-66-66-3-66-6633-333-3-33-33-30000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ1096-6-66-666-6-36i−6i−6i6i333-3-3-33−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i33−3−3300000000
χ1106-6-66-666-6-36i−6i−6i6i333-3-3-33−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3−333−300000000
χ1116-6-66-666-6-3−6i6i6i−6i333-3-3-333i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3−333−300000000
χ1126-6-66-666-6-3−6i6i6i−6i333-3-3-333i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i33−3−3300000000
χ11312121212-12-12-12-12-60000-66-6-6666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-12-121212-60000-6666-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-1212-1212-1212-12-600006-6-66-666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-121212-12-1212-600006-66-666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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