Finite Group Databasebeta

← Group #13140258

Character table — Group #13140258

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12222222344446666666121212123366666666666666121212121212121236666666121212121212121212121212444444441212121212121212121212121212121222224444666666661212121212121212
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
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
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
χ9111-1-11-1-11ii−i−i111-1-1-1-1ii−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−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111-1-11-1-11ii−i−i111-1-1-1-1ii−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-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111-1-11-1-11ii−i−i111-1-1-1-1ii−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−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ12111-1-11-1-11ii−i−i111-1-1-1-1ii−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-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ13111-1-11-1-11−i−iii111-1-1-1-1−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−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ14111-1-11-1-11−i−iii111-1-1-1-1−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-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ15111-1-11-1-11−i−iii111-1-1-1-1−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−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111-1-11-1-11−i−iii111-1-1-1-1−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-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ172222222222222222222222222-12222-1-1-1-1-12-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000002200220000-1-1-1-10000-1-1-1-1
χ182222222222222222222222222-12222-1-1-1-1-12-122-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200-2-20000111100001111
χ19222222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ20222222222222222222222222-12-1-1-1-122222-12-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ21222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-1-12-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000002200-2-20000-1-1-1-100001111
χ22222222222-2-2-2-22222222-2-2-2-22-12222-1-1-1-1-12-122-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000000000000000-2-20022000011110000-1-1-1-1
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-122222-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-122222-12-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ25222-2-22-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i2-122-2-2-1-1-111-212-212i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii000000000000000000000000002-2002i−2i0000-1-1110000−i−iii
χ26222-2-22-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i2-122-2-2-1-1-111-212-212i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−iii−i−i−i−iiiii00000000000000000000000000-2200−2i2i000011-1-10000ii−i−i
χ27222-2-22-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i-12-1-111222-2-21-2-11-2−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
χ28222-2-22-2-222i2i−2i−2i222-2-2-2-22i2i−2i−2i-12-1-111222-2-21-2-11-2−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
χ29222-2-22-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i2-122-2-2-1-1-111-212-21−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i000000000000000000000000002-200−2i2i0000-1-1110000ii−i−i
χ30222-2-22-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i2-122-2-2-1-1-111-212-21−2i−2i−2i−2i2i2i2i2i-1-1-1-11111ii−i−iiiii−i−i−i−i00000000000000000000000000-22002i−2i000011-1-10000−i−iii
χ31222-2-22-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i-12-1-111222-2-21-2-11-2iiii−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
χ32222-2-22-2-22−2i−2i2i2i222-2-2-2-2−2i−2i2i2i-12-1-111222-2-21-2-11-2iiii−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
χ3322-222-2-2-2200002-2-22-22-20000222-22-22-2-22-222-2-2-20000000022-2-22-2-2200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ3422-222-2-2-2200002-2-22-22-20000222-22-22-2-22-222-2-2-20000000022-2-22-2-220000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ3522-222-2-2-2200002-2-22-22-20000-12-11-112-2-22-2-1211-2−i3−i3i3i3−i3−i3i3i3-1-111-111-10000−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i33−3−333−3−3−i−iii−i−iii000000000000000000000000
χ3622-222-2-2-2200002-2-22-22-20000-12-11-112-2-22-2-1211-2−i3−i3i3i3−i3−i3i3i3-1-111-111-10000−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i−3−333−3−333ii−i−iii−i−i000000000000000000000000
χ3722-222-2-2-2200002-2-22-22-20000-12-11-112-2-22-2-1211-2i3i3−i3−i3i3i3−i3−i3-1-111-111-10000i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i−3−333−3−333−i−iii−i−iii000000000000000000000000
χ3822-222-2-2-2200002-2-22-22-20000-12-11-112-2-22-2-1211-2i3i3−i3−i3i3i3−i3−i3-1-111-111-10000i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i33−3−333−3−3ii−i−iii−i−i000000000000000000000000
χ3922-2-2-2-222200002-2-2-22-220000222-2-222-2-2-22-2-2-2220000000022-2-2-222-200000000000000002-2-220000000022-2-2-2-222000000000000000000000000
χ4022-2-2-2-222200002-2-2-22-220000222-2-222-2-2-22-2-2-2220000000022-2-2-222-20000000000000000-222-200000000-2-22222-2-2000000000000000000000000
χ4122-2-2-2-222200002-2-2-22-220000-12-111-12-2-2-221-21-1233−3−3−3−333-1-1111-1-11000033−3−3−3−33300002-2-22−3−33333−3−3-1-11111-1-1000000000000000000000000
χ4222-2-2-2-222200002-2-2-22-220000-12-111-12-2-2-221-21-1233−3−3−3−333-1-1111-1-11000033−3−3−3−3330000-222-233−3−3−3−33311-1-1-1-111000000000000000000000000
χ4322-2-2-2-222200002-2-2-22-220000-12-111-12-2-2-221-21-12−3−33333−3−3-1-1111-1-110000−3−33333−3−300002-2-2233−3−3−3−333-1-11111-1-1000000000000000000000000
χ4422-2-2-2-222200002-2-2-22-220000-12-111-12-2-2-221-21-12−3−33333−3−3-1-1111-1-110000−3−33333−3−30000-222-2−3−33333−3−311-1-1-1-111000000000000000000000000
χ452-222-2-22-222i−2i2i−2i-22-222-2-22i−2i2i−2i22-222-2-22-222-2-2-22-22i−2i2i−2i2i−2i2i−2i2-22-222-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000
χ462-222-2-22-222i−2i2i−2i-22-222-2-22i−2i2i−2i2-1-222-21-11-1-1-21-2212i−2i2i−2i2i−2i2i−2i-11-11-1-111−ii−ii−ii−ii−ii−ii000000000000000000000000000000000000−i3i3−i3i300003−33−3
χ472-222-2-22-222i−2i2i−2i-22-222-2-22i−2i2i−2i2-1-222-21-11-1-1-21-2212i−2i2i−2i2i−2i2i−2i-11-11-1-111−ii−ii−ii−ii−ii−ii000000000000000000000000000000000000i3−i3i3−i30000−33−33
χ482-222-2-22-222i−2i2i−2i-22-222-2-22i−2i2i−2i-121-1-11-22-2221-21-1-2−ii−ii−ii−ii-11-11-1-1112i−2i2i−2i−ii−ii−ii−ii000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ492-222-2-22-222i−2i2i−2i-22-222-2-22i−2i2i−2i-121-1-11-22-2221-21-1-2−ii−ii−ii−ii-11-11-1-1112i−2i2i−2i−ii−ii−ii−ii00000000−33−33−33−33i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ502-222-2-22-22−2i2i−2i2i-22-222-2-2−2i2i−2i2i22-222-2-22-222-2-2-22-2−2i2i−2i2i−2i2i−2i2i2-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000
χ512-222-2-22-22−2i2i−2i2i-22-222-2-2−2i2i−2i2i2-1-222-21-11-1-1-21-221−2i2i−2i2i−2i2i−2i2i-11-11-1-111i−ii−ii−ii−ii−ii−i000000000000000000000000000000000000−i3i3−i3i30000−33−33
χ522-222-2-22-22−2i2i−2i2i-22-222-2-2−2i2i−2i2i2-1-222-21-11-1-1-21-221−2i2i−2i2i−2i2i−2i2i-11-11-1-111i−ii−ii−ii−ii−ii−i000000000000000000000000000000000000i3−i3i3−i300003−33−3
χ532-222-2-22-22−2i2i−2i2i-22-222-2-2−2i2i−2i2i-121-1-11-22-2221-21-1-2i−ii−ii−ii−i-11-11-1-111−2i2i−2i2ii−ii−ii−ii−i000000003−33−33−33−3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ542-222-2-22-22−2i2i−2i2i-22-222-2-2−2i2i−2i2i-121-1-11-22-2221-21-1-2i−ii−ii−ii−i-11-11-1-111−2i2i−2i2ii−ii−ii−ii−i00000000−33−33−33−33−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ552-22-22-2-2222-2-22-22-2-2-2222-2-2222-22-22-22-2-2-222-2-222-22-2-22-222-22-2-2-2222-2-222-22-2-22-22000000000000000000000000000000000000000000000000
χ562-22-22-2-2222-2-22-22-2-2-2222-2-222-1-22-221-11112-1-2-2-12-22-2-22-22-11-1111-1-1-111-1-11-111-11-1000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i3
χ572-22-22-2-2222-2-22-22-2-2-2222-2-222-1-22-221-11112-1-2-2-12-22-2-22-22-11-1111-1-1-111-1-11-111-11-1000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i3
χ582-22-22-2-2222-2-22-22-2-2-2222-2-22-121-11-1-22-2-2-2-12112-11-111-11-1-11-1111-1-12-2-22-11-111-11-1000000003−33−3−33−33−33−333−33−3000000000000000000000000
χ592-22-22-2-2222-2-22-22-2-2-2222-2-22-121-11-1-22-2-2-2-12112-11-111-11-1-11-1111-1-12-2-22-11-111-11-100000000−33−333−33−33−33−3−33−33000000000000000000000000
χ602-22-22-2-222-222-2-22-2-2-222-222-222-22-22-22-2-2-222-2-22-22-222-22-22-22-2-2-222-222-2-22-222-22-2000000000000000000000000000000000000000000000000
χ612-22-22-2-222-222-2-22-2-2-222-222-22-1-22-221-11112-1-2-2-1-22-222-22-2-11-1111-1-11-1-111-11-1-11-11000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i3
χ622-22-22-2-222-222-2-22-2-2-222-222-22-1-22-221-11112-1-2-2-1-22-222-22-2-11-1111-1-11-1-111-11-1-11-11000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i3
χ632-22-22-2-222-222-2-22-2-2-222-222-2-121-11-1-22-2-2-2-121121-11-1-11-11-11-1111-1-1-222-21-11-1-11-11000000003−33−3−33−333−33−3−33−33000000000000000000000000
χ642-22-22-2-222-222-2-22-2-2-222-222-2-121-11-1-22-2-2-2-121121-11-1-11-11-11-1111-1-1-222-21-11-1-11-1100000000−33−333−33−3−33−333−33−3000000000000000000000000
χ652-2-22-22-2220000-2-222-2-22000022-2-222-2-222-2-2-22-22000000002-2-222-22-20000000000002-22-200002-2-222-2-2200000000000000000000000000000000
χ662-2-22-22-2220000-2-222-2-22000022-2-222-2-222-2-2-22-22000000002-2-222-22-2000000000000-22-220000-222-2-222-200000000000000000000000000000000
χ672-2-22-22-2220000-2-222-2-220000-1211-1-1-2-222-21-2-1123−3−333−3−33-111-1-11-1100003−3−333−3−332-22-20000-111-1-111-1−333−3−333−3000000000000000000000000
χ682-2-22-22-2220000-2-222-2-220000-1211-1-1-2-222-21-2-1123−3−333−3−33-111-1-11-1100003−3−333−3−33-22-2200001-1-111-1-113−3−333−3−33000000000000000000000000
χ692-2-22-22-2220000-2-222-2-220000-1211-1-1-2-222-21-2-112−333−3−333−3-111-1-11-110000−333−3−333−32-22-20000-111-1-111-13−3−333−3−33000000000000000000000000
χ702-2-22-22-2220000-2-222-2-220000-1211-1-1-2-222-21-2-112−333−3−333−3-111-1-11-110000−333−3−333−3-22-2200001-1-111-1-11−333−3−333−3000000000000000000000000
χ712-2-2-2222-220000-2-22-222-2000022-2-2-2-2-2-22-222222-2000000002-2-22-22-220000000000002-2-2200002-2-22-222-200000000000000000000000000000000
χ722-2-2-2222-220000-2-22-222-2000022-2-2-2-2-2-22-222222-2000000002-2-22-22-22000000000000-222-20000-222-22-2-2200000000000000000000000000000000
χ732-2-2-2222-220000-2-22-222-20000-121111-2-22-22-12-1-1-2−i3i3i3−i3i3−i3−i3i3-111-11-11-10000−i3i3i3−i3i3−i3−i3i32-2-220000-111-11-1-11i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ742-2-2-2222-220000-2-22-222-20000-121111-2-22-22-12-1-1-2−i3i3i3−i3i3−i3−i3i3-111-11-11-10000−i3i3i3−i3i3−i3−i3i3-222-200001-1-11-111-1−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ752-2-2-2222-220000-2-22-222-20000-121111-2-22-22-12-1-1-2i3−i3−i3i3−i3i3i3−i3-111-11-11-10000i3−i3−i3i3−i3i3i3−i32-2-220000-111-11-1-11−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ762-2-2-2222-220000-2-22-222-20000-121111-2-22-22-12-1-1-2i3−i3−i3i3−i3i3i3−i3-111-11-11-10000i3−i3−i3i3−i3i3i3−i3-222-200001-1-11-111-1i3−i3−i3i3−i3i3i3−i3000000000000000000000000
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
χ79444-4-44-4-444i4i−4i−4i444-4-4-4-44i4i−4i−4i-2-2-2-222-2-2-22222-222−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000000000
χ80444-4-44-4-44−4i−4i4i4i444-4-4-4-4−4i−4i4i4i-2-2-2-222-2-2-22222-2222i2i2i2i−2i−2i−2i−2i1111-1-1-1-12i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ8144-444-4-4-4400004-4-44-44-400004-24-44-4-222-224-2-4-4200000000-2-222-222-2000000000000000000000000000000000000000000000000000000000000
χ8244-444-4-4-4400004-4-44-44-40000-2-2-22-22-222-22-2-2222−2i3−2i32i32i3−2i3−2i32i32i311-1-11-1-110000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ8344-444-4-4-4400004-4-44-44-40000-2-2-22-22-222-22-2-22222i32i3−2i3−2i32i32i3−2i3−2i311-1-11-1-110000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ8444-4-4-4-444400004-4-4-44-4400004-24-4-44-2222-2-42-44-200000000-2-2222-2-22000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-4-444400004-4-4-44-440000-2-2-222-2-2222-2222-2-22323−23−23−23−23232311-1-1-111-10000−3−33333−3−3000000000000000000000000000000000000000000000000
χ8644-4-4-4-444400004-4-4-44-440000-2-2-222-2-2222-2222-2-2−23−2323232323−23−2311-1-1-111-1000033−3−3−3−333000000000000000000000000000000000000000000000000
χ874-444-4-44-444i−4i4i−4i-44-444-4-44i−4i4i−4i-2-22-2-222-22-2-2222-22−2i2i−2i2i−2i2i−2i2i1-11-111-1-1−2i2i−2i2ii−ii−ii−ii−i000000000000000000000000000000000000000000000000
χ884-444-4-44-44−4i4i−4i4i-44-444-4-4−4i4i−4i4i-2-22-2-222-22-2-2222-222i−2i2i−2i2i−2i2i−2i1-11-111-1-12i−2i2i−2i−ii−ii−ii−ii000000000000000000000000000000000000000000000000
χ894-44-44-4-4444-4-44-44-4-4-4444-4-44-2-22-22-22-2222-2-222-2-22-222-22-21-11-1-1-111-222-21-11-1-11-11000000000000000000000000000000000000000000000000
χ904-44-44-4-444-444-4-44-4-4-444-444-4-2-22-22-22-2222-2-222-22-22-2-22-221-11-1-1-1112-2-22-11-111-11-1000000000000000000000000000000000000000000000000
χ914-4-44-44-4440000-4-444-4-4400004-2-4-44422-2-22-424-4-200000000-222-2-22-22000000000000000000000000000000000000000000000000000000000000
χ924-4-44-44-4440000-4-444-4-440000-2-222-2-222-2-2222-22-223−23−232323−23−23231-1-111-11-10000−333−3−333−3000000000000000000000000000000000000000000000000
χ934-4-44-44-4440000-4-444-4-440000-2-222-2-222-2-2222-22-2−232323−23−232323−231-1-111-11-100003−3−333−3−33000000000000000000000000000000000000000000000000
χ944-4-4-4444-440000-4-44-444-400004-2-4-4-4-422-22-24-244200000000-222-22-22-2000000000000000000000000000000000000000000000000000000000000
χ954-4-4-4444-440000-4-44-444-40000-2-2222222-22-2-2-2-2-22−2i32i32i3−2i32i3−2i3−2i32i31-1-11-11-110000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000000000
χ964-4-4-4444-440000-4-44-444-40000-2-2222222-22-2-2-2-2-222i3−2i3−2i32i3−2i32i32i3−2i31-1-11-11-110000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022002200-1-1-1-10000-1-1-1-10000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-200-2-2001111000011110000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000000000000000000000002200-2-200-1-1-1-1000011110000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2-200220011110000-1-1-1-10000
χ101666-6-66-6-6-36i6i−6i−6i-3-3-33333−3i−3i3i3i000000000000000000000000000000000000000000000000000000000000000000002-2002i−2i00-1-1110000−i−iii0000
χ102666-6-66-6-6-36i6i−6i−6i-3-3-33333−3i−3i3i3i00000000000000000000000000000000000000000000000000000000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ103666-6-66-6-6-3−6i−6i6i6i-3-3-333333i3i−3i−3i000000000000000000000000000000000000000000000000000000000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ104666-6-66-6-6-3−6i−6i6i6i-3-3-333333i3i−3i−3i00000000000000000000000000000000000000000000000000000000000000000000-22002i−2i0011-1-10000−i−iii0000
χ1056-666-6-66-6-36i−6i6i−6i3-33-3-333−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i300003−33−30000
χ1066-666-6-66-6-36i−6i6i−6i3-33-3-333−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i30000−33−330000
χ1076-666-6-66-6-3−6i6i−6i6i3-33-3-3333i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i30000−33−330000
χ1086-666-6-66-6-3−6i6i−6i6i3-33-3-3333i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i300003−33−30000
χ1096-66-66-6-66-36-6-663-3333-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i30000
χ1106-66-66-6-66-36-6-663-3333-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i30000
χ1116-66-66-6-66-3-666-63-3333-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i30000
χ1126-66-66-6-66-3-666-63-3333-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i30000
χ1131212-121212-12-12-12-60000-666-66-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-12-121212-60000-6666-66-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-12-1212-1212-1212-6000066-6-666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-12-12-12121212-12-6000066-66-6-66000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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