Finite Group Databasebeta

← Group #13140204

Character table — Group #13140204

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order122222223444466666661212121233666666666666661212121212121212366666661212121212121212121212124444444412121212121212121212121212121212224444446666121212121212121212121212
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
χ911-111-1-1-11ii−i−i111-1-1-1-1ii−i−i111111-1-1-1-1-1-111-1-1iiii−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
χ1011-111-1-1-11ii−i−i111-1-1-1-1ii−i−i111111-1-1-1-1-1-111-1-1iiii−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
χ1111-111-1-1-11ii−i−i111-1-1-1-1ii−i−i111111-1-1-1-1-1-111-1-1iiii−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−ii11-1-1ii−i−i-1-111−i−iii
χ1211-111-1-1-11ii−i−i111-1-1-1-1ii−i−i111111-1-1-1-1-1-111-1-1iiii−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-1-111−i−iii11-1-1ii−i−i
χ1311-111-1-1-11−i−iii111-1-1-1-1−i−iii111111-1-1-1-1-1-111-1-1−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
χ1411-111-1-1-11−i−iii111-1-1-1-1−i−iii111111-1-1-1-1-1-111-1-1−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
χ1511-111-1-1-11−i−iii111-1-1-1-1−i−iii111111-1-1-1-1-1-111-1-1−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−i−iii-1-111ii−i−i
χ1611-111-1-1-11−i−iii111-1-1-1-1−i−iii111111-1-1-1-1-1-111-1-1−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-1-111ii−i−i11-1-1−i−iii
χ172222222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-122-1-1222-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1-122-1-1-1222-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-122-1-1-1222-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ21222222222-2-2-2-22222222-2-2-2-22-122-1-1222-1-1-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ22222222222-2-2-2-22222222-2-2-2-22-122-1-1222-1-1-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-122-1-1-1222-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-122-1-1-1222-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ25222-2-2-2-22200002-2-22-22-20000222-22-22-2-22-22-2-2-220000000022-2-22-2-220000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ26222-2-2-2-22200002-2-22-22-20000222-22-22-2-22-22-2-2-220000000022-2-22-2-22000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ27222-2-2-2-22200002-2-22-22-200002-12-2-112-2-2-11-1-2112−i3−i3i3i3−i3−i3i3i3-1-111-111-10000−i3−i3i3i3−i3−i3i3i32i−2i2i−2i0000−i−iii−i−iii33−3−333−3−3000000000000000000000000
χ28222-2-2-2-22200002-2-22-22-200002-12-2-112-2-2-11-1-2112−i3−i3i3i3−i3−i3i3i3-1-111-111-10000−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i0000ii−i−iii−i−i−3−333−3−333000000000000000000000000
χ29222-2-2-2-22200002-2-22-22-200002-12-2-112-2-2-11-1-2112i3i3−i3−i3i3i3−i3−i3-1-111-111-10000i3i3−i3−i3i3i3−i3−i32i−2i2i−2i0000−i−iii−i−iii−3−333−3−333000000000000000000000000
χ30222-2-2-2-22200002-2-22-22-200002-12-2-112-2-2-11-1-2112i3i3−i3−i3i3i3−i3−i3-1-111-111-10000i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i0000ii−i−iii−i−i33−3−333−3−3000000000000000000000000
χ3122-222-2-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i2-122-1-1-2-2-21112-11-2−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
χ3222-222-2-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i2-122-1-1-2-2-21112-11-2−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
χ3322-222-2-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i-12-1-122111-2-2-2-12-212i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii00000000000000000000000000002-22i−2i00000000-1-111−i−iii
χ3422-222-2-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i-12-1-122111-2-2-2-12-212i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii0000000000000000000000000000-22−2i2i0000000011-1-1ii−i−i
χ3522-222-2-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i2-122-1-1-2-2-21112-11-2iiii−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
χ3622-222-2-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i2-122-1-1-2-2-21112-11-2iiii−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
χ3722-222-2-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i-12-1-122111-2-2-2-12-21−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i00000000000000000000000000002-2−2i2i00000000-1-111ii−i−i
χ3822-222-2-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i-12-1-122111-2-2-2-12-21−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i0000000000000000000000000000-222i−2i0000000011-1-1−i−iii
χ3922-2-2-222-2200002-2-2-22-220000222-22-2-222-22-2-2-22-20000000022-2-2-222-20000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ4022-2-2-222-2200002-2-2-22-220000222-22-2-222-22-2-2-22-20000000022-2-2-222-2000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ4122-2-2-222-2200002-2-2-22-2200002-12-2-11-2221-11-21-1-233−3−3−3−333-1-1111-1-11000033−3−3−3−3332i−2i−2i2i0000−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ4222-2-2-222-2200002-2-2-22-2200002-12-2-11-2221-11-21-1-233−3−3−3−333-1-1111-1-11000033−3−3−3−333−2i2i2i−2i0000ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ4322-2-2-222-2200002-2-2-22-2200002-12-2-11-2221-11-21-1-2−3−33333−3−3-1-1111-1-110000−3−33333−3−32i−2i−2i2i0000−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i3000000000000000000000000
χ4422-2-2-222-2200002-2-2-22-2200002-12-2-11-2221-11-21-1-2−3−33333−3−3-1-1111-1-110000−3−33333−3−3−2i2i2i−2i0000ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i3000000000000000000000000
χ452-222-22-2-220000-22-22-2-22000022-22-2-222-222-2-22-2-2000000002-22-222-2-200000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ462-222-22-2-220000-22-22-2-22000022-22-2-222-222-2-22-2-2000000002-22-222-2-20000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ472-222-22-2-220000-22-22-2-2200002-1-221122-2-1-11-2-11-23−33−33−33−3-11-11-1-11100003−33−33−33−300002i−2i2i−2i−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii000000000000000000000000
χ482-222-22-2-220000-22-22-2-2200002-1-221122-2-1-11-2-11-23−33−33−33−3-11-11-1-11100003−33−33−33−30000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i000000000000000000000000
χ492-222-22-2-220000-22-22-2-2200002-1-221122-2-1-11-2-11-2−33−33−33−33-11-11-1-1110000−33−33−33−3300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii000000000000000000000000
χ502-222-22-2-220000-22-22-2-2200002-1-221122-2-1-11-2-11-2−33−33−33−33-11-11-1-1110000−33−33−33−330000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i000000000000000000000000
χ512-22-22-22-222i−2i2i−2i-2-2222-2-22i−2i2i−2i22-2-2-222-222-2-22-22-22i−2i−2i2i2i−2i−2i2i2-2-222-22-22i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000
χ522-22-22-22-222i−2i2i−2i-2-2222-2-22i−2i2i−2i2-1-2-21-12-22-11121-1-2−iii−i−iii−i-111-1-11-112i−2i2i−2i−iii−i−iii−i000000003−3−333−3−33i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ532-22-22-22-222i−2i2i−2i-2-2222-2-22i−2i2i−2i2-1-2-21-12-22-11121-1-2−iii−i−iii−i-111-1-11-112i−2i2i−2i−iii−i−iii−i00000000−333−3−333−3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ542-22-22-22-222i−2i2i−2i-2-2222-2-22i−2i2i−2i-1211-22-11-12-2-2-1-2212i−2i−2i2i2i−2i−2i2i-111-1-11-11−ii−ii−iii−i−iii−i0000000000000000000000000000000000000000−i3i3−i3i33−33−3
χ552-22-22-22-222i−2i2i−2i-2-2222-2-22i−2i2i−2i-1211-22-11-12-2-2-1-2212i−2i−2i2i2i−2i−2i2i-111-1-11-11−ii−ii−iii−i−iii−i0000000000000000000000000000000000000000i3−i3i3−i3−33−33
χ562-22-22-22-22−2i2i−2i2i-2-2222-2-2−2i2i−2i2i22-2-2-222-222-2-22-22-2−2i2i2i−2i−2i2i2i−2i2-2-222-22-2−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000
χ572-22-22-22-22−2i2i−2i2i-2-2222-2-2−2i2i−2i2i2-1-2-21-12-22-11121-1-2i−i−iii−i−ii-111-1-11-11−2i2i−2i2ii−i−iii−i−ii000000003−3−333−3−33−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ582-22-22-22-22−2i2i−2i2i-2-2222-2-2−2i2i−2i2i2-1-2-21-12-22-11121-1-2i−i−iii−i−ii-111-1-11-11−2i2i−2i2ii−i−iii−i−ii00000000−333−3−333−3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ592-22-22-22-22−2i2i−2i2i-2-2222-2-2−2i2i−2i2i-1211-22-11-12-2-2-1-221−2i2i2i−2i−2i2i2i−2i-111-1-11-11i−ii−ii−i−iii−i−ii0000000000000000000000000000000000000000−i3i3−i3i3−33−33
χ602-22-22-22-22−2i2i−2i2i-2-2222-2-2−2i2i−2i2i-1211-22-11-12-2-2-1-221−2i2i2i−2i−2i2i2i−2i-111-1-11-11i−ii−ii−i−iii−i−ii0000000000000000000000000000000000000000i3−i3i3−i33−33−3
χ612-2-22-2-22220000-22-2-222-2000022-22-2-2-2-22-2-22-2222000000002-22-2-2-22200000000000000002-2-22000000002-22-2-22-22000000000000000000000000
χ622-2-22-2-22220000-22-2-222-2000022-22-2-2-2-22-2-22-2222000000002-22-2-2-2220000000000000000-222-200000000-22-222-22-2000000000000000000000000
χ632-2-22-2-22220000-22-2-222-200002-1-2211-2-2211-1-2-1-12−i3i3−i3i3i3−i3i3−i3-11-1111-1-10000−i3i3−i3i3i3−i3i3−i300002-2-22−i3i3−i3i3i3−i3i3−i3-11-111-11-1000000000000000000000000
χ642-2-22-2-22220000-22-2-222-200002-1-2211-2-2211-1-2-1-12−i3i3−i3i3i3−i3i3−i3-11-1111-1-10000−i3i3−i3i3i3−i3i3−i30000-222-2i3−i3i3−i3−i3i3−i3i31-11-1-11-11000000000000000000000000
χ652-2-22-2-22220000-22-2-222-200002-1-2211-2-2211-1-2-1-12i3−i3i3−i3−i3i3−i3i3-11-1111-1-10000i3−i3i3−i3−i3i3−i3i300002-2-22i3−i3i3−i3−i3i3−i3i3-11-111-11-1000000000000000000000000
χ662-2-22-2-22220000-22-2-222-200002-1-2211-2-2211-1-2-1-12i3−i3i3−i3−i3i3−i3i3-11-1111-1-10000i3−i3i3−i3−i3i3−i3i30000-222-2−i3i3−i3i3i3−i3i3−i31-11-1-11-11000000000000000000000000
χ672-2-2-222-2222-2-22-2-22-2-2222-2-2222-2-2-22-22-2-2222-2-222-2-22-222-22-2-22-22-222-2-222-2-22-222-2000000000000000000000000000000000000000000000000
χ682-2-2-222-2222-2-22-2-22-2-2222-2-222-1-2-21-1-22-21-1-12112-111-11-1-11-111-11-11-12-2-22-111-11-1-11000000003−3−33−333−33−3−33−333−3000000000000000000000000
χ692-2-2-222-2222-2-22-2-22-2-2222-2-222-1-2-21-1-22-21-1-12112-111-11-1-11-111-11-11-12-2-22-111-11-1-1100000000−333−33−3−33−333−33−3−33000000000000000000000000
χ702-2-2-222-2222-2-22-2-22-2-2222-2-22-1211-221-11-222-1-2-2-12-2-22-222-2-111-11-11-1-111-1-111-11-1-110000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ712-2-2-222-2222-2-22-2-22-2-2222-2-22-1211-221-11-222-1-2-2-12-2-22-222-2-111-11-11-1-111-1-111-11-1-110000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ722-2-2-222-222-222-2-2-22-2-222-222-222-2-2-22-22-2-2222-2-22-222-22-2-222-2-22-22-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ732-2-2-222-222-222-2-2-22-2-222-222-22-1-2-21-1-22-21-1-121121-1-11-111-1-111-11-11-1-222-21-1-11-111-1000000003−3−33−333−3−333−33−3−33000000000000000000000000
χ742-2-2-222-222-222-2-2-22-2-222-222-22-1-2-21-1-22-21-1-121121-1-11-111-1-111-11-11-1-222-21-1-11-111-100000000−333−33−3−333−3−33−333−3000000000000000000000000
χ752-2-2-222-222-222-2-2-22-2-222-222-2-1211-221-11-222-1-2-2-1-222-22-2-22-111-11-11-11-1-111-1-11-111-10000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ762-2-2-222-222-222-2-2-22-2-222-222-2-1211-221-11-222-1-2-2-1-222-22-2-22-111-11-11-11-1-111-1-11-111-10000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
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
χ79444-4-4-4-44400004-4-44-44-40000-24-224-4-2224-442-4-4-200000000-2-222-222-2000000000000000000000000000000000000000000000000000000000000
χ80444-4-4-4-44400004-4-44-44-40000-2-2-22-22-222-22-2222-2−2i3−2i32i32i3−2i3−2i32i32i311-1-11-1-110000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ81444-4-4-4-44400004-4-44-44-40000-2-2-22-22-222-22-2222-22i32i3−2i3−2i32i32i3−2i3−2i311-1-11-1-110000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8244-444-4-4-444i4i−4i−4i444-4-4-4-44i4i−4i−4i-2-2-2-2-2-2222222-2-222−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000000000
χ8344-444-4-4-44−4i−4i4i4i444-4-4-4-4−4i−4i4i4i-2-2-2-2-2-2222222-2-2222i2i2i2i−2i−2i−2i−2i1111-1-1-1-12i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ8444-4-4-444-4400004-4-4-44-440000-24-224-42-2-2-44-42-44200000000-2-2222-2-22000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-444-4400004-4-4-44-440000-2-2-22-222-2-22-2222-222323−23−23−23−23232311-1-1-111-10000−3−33333−3−3000000000000000000000000000000000000000000000000
χ8644-4-4-444-4400004-4-4-44-440000-2-2-22-222-2-22-2222-22−23−2323232323−23−2311-1-1-111-1000033−3−3−3−333000000000000000000000000000000000000000000000000
χ874-444-44-4-440000-44-44-4-440000-242-2-4-4-2-2244-424-4200000000-22-22-2-222000000000000000000000000000000000000000000000000000000000000
χ884-444-44-4-440000-44-44-4-440000-2-22-222-2-22-2-222-22223−2323−2323−2323−231-11-111-1-10000−33−33−33−33000000000000000000000000000000000000000000000000
χ894-444-44-4-440000-44-44-4-440000-2-22-222-2-22-2-222-222−2323−2323−2323−23231-11-111-1-100003−33−33−33−3000000000000000000000000000000000000000000000000
χ904-44-44-44-444i−4i4i−4i-4-4444-4-44i−4i4i−4i-2-2222-2-22-2-222-22-22−2i2i2i−2i−2i2i2i−2i1-1-111-11-1−2i2i−2i2ii−i−iii−i−ii000000000000000000000000000000000000000000000000
χ914-44-44-44-44−4i4i−4i4i-4-4444-4-4−4i4i−4i4i-2-2222-2-22-2-222-22-222i−2i−2i2i2i−2i−2i2i1-1-111-11-12i−2i2i−2i−iii−i−iii−i000000000000000000000000000000000000000000000000
χ924-4-44-4-44440000-44-4-444-40000-242-2-4-422-2-4-44244-200000000-22-2222-2-2000000000000000000000000000000000000000000000000000000000000
χ934-4-44-4-44440000-44-4-444-40000-2-22-22222-222-22-2-2-2−2i32i3−2i32i32i3−2i32i3−2i31-11-1-1-1110000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000000000
χ944-4-44-4-44440000-44-4-444-40000-2-22-22222-222-22-2-2-22i3−2i32i3−2i3−2i32i3−2i32i31-11-1-1-1110000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000000000
χ954-4-4-444-4444-4-44-4-44-4-4444-4-44-2-2222-22-222-2-2-222-2-222-22-2-221-1-11-11-11-222-21-1-11-111-1000000000000000000000000000000000000000000000000
χ964-4-4-444-444-444-4-4-44-4-444-444-4-2-2222-22-222-2-2-222-22-2-22-222-21-1-11-11-112-2-22-111-11-1-11000000000000000000000000000000000000000000000000
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
χ10166-666-6-6-6-36i6i−6i−6i-3-3-33333−3i−3i3i3i000000000000000000000000000000000000000000000000000000000000000000002-22i−2i0000-1-111−i−iii00000000
χ10266-666-6-6-6-36i6i−6i−6i-3-3-33333−3i−3i3i3i00000000000000000000000000000000000000000000000000000000000000000000-22−2i2i000011-1-1ii−i−i00000000
χ10366-666-6-6-6-3−6i−6i6i6i-3-3-333333i3i−3i−3i000000000000000000000000000000000000000000000000000000000000000000002-2−2i2i0000-1-111ii−i−i00000000
χ10466-666-6-6-6-3−6i−6i6i6i-3-3-333333i3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000-222i−2i000011-1-1−i−iii00000000
χ1056-66-66-66-6-36i−6i6i−6i33-3-3-333−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i33−33−300000000
χ1066-66-66-66-6-36i−6i6i−6i33-3-3-333−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i3−33−3300000000
χ1076-66-66-66-6-3−6i6i−6i6i33-3-3-3333i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i3−33−3300000000
χ1086-66-66-66-6-3−6i6i−6i6i33-3-3-3333i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i33−33−300000000
χ1096-6-6-666-66-36-6-6633-333-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ1106-6-6-666-66-36-6-6633-333-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ1116-6-6-666-66-3-666-633-333-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ1126-6-6-666-66-3-666-633-333-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ113121212-12-12-12-1212-60000-666-66-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-121212-12-60000-6666-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-121212-1212-12-12-600006-66-666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-1212-12-121212-600006-666-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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