Finite Group Databasebeta

← Group #13155637

Character table — Group #13155637

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122233344666666666444433366666666612121212121212121212441212121212121212366612121212121212124444121212121212121212121212121212121212121288881212121212121212121212122244666612121212242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91-1-111111-111-1-1-1-1-1-11ii−i−i111-1-1111-1-1-1-11-1-11-111-1-11i−iii−i−iii−i−i1-1-1111-1-111-1-1i−ii−ii−ii−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-11-111-1-111-1-111-1-1ii−i−i
χ101-1-111111-111-1-1-1-1-1-11ii−i−i111-1-1111-1-1-1-11-1-11-111-1-11i−iii−i−iii−i−i1-1-1111-1-111-1-1i−i−iii−ii−iii−i−i−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii1-1-1111-1-1-1-111-1-111−i−iii
χ111-1-111111-111-1-1-1-1-1-11ii−i−i111-1-1111-1-1-1-11-1-11-111-1-11i−iii−i−iii−i−i1-1-1111-1-111-1-1−iii−ii−ii−i−i−iiiii−i−iiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-111-1-1-11111-1-1-1-111−i−iii
χ121-1-111111-111-1-1-1-1-1-11ii−i−i111-1-1111-1-1-1-11-1-11-111-1-11i−iii−i−iii−i−i1-1-1111-1-111-1-1−ii−iii−ii−i−i−iii−i−iiiiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-11-11-1-111-1-11111-1-1ii−i−i
χ131-1-111111-111-1-1-1-1-1-11−i−iii111-1-1111-1-1-1-11-1-11-111-1-11−ii−i−iii−i−iii1-1-1111-1-111-1-1i−ii−i−ii−iiii−i−iii−i−i−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-11-11-1-111-1-11111-1-1−i−iii
χ141-1-111111-111-1-1-1-1-1-11−i−iii111-1-1111-1-1-1-11-1-11-111-1-11−ii−i−iii−i−iii1-1-1111-1-111-1-1i−i−ii−ii−iiii−i−i−i−iii−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-111-1-1-11111-1-1-1-111ii−i−i
χ151-1-111111-111-1-1-1-1-1-11−i−iii111-1-1111-1-1-1-11-1-11-111-1-11−ii−i−iii−i−iii1-1-1111-1-111-1-1−iii−i−ii−ii−i−iiiii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i1-1-1111-1-1-1-111-1-111ii−i−i
χ161-1-111111-111-1-1-1-1-1-11−i−iii111-1-1111-1-1-1-11-1-11-111-1-11−ii−i−iii−i−iii1-1-1111-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-11-111-1-111-1-111-1-1−i−iii
χ172222222-2-22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-20000-2-2-2-20000000022-2-222-2-2000000000000000000000000000000000000
χ182222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000222200000000-2-222-2-222000000000000000000000000000000000000
χ19222222-1222-12-1222-1222222-1-12-12-1-1-1-12-1-12-122-1-1-1-12222222-1-1-1-1-1-1-1-12-12-1-1-1-1-12200-1-122-1-1-1-10000-1-1-1-1-1-1-1-100002200-1-1-1-100002200-1-1-1-1000000000000
χ20222222-1222-12-1222-1222222-1-12-12-1-1-1-12-1-12-122-1-1-1-12222222-1-1-1-1-1-1-1-12-12-1-1-1-1-1-2-200-1-12211110000-1-1-1-1-1-1-1-10000-2-20011110000-2-2001111000000000000
χ21222222-1222-12-1222-12-2-2-2-22-1-12-12-1-1-1-12-1-12-122-1-1-1-12-2-2-2-2-2-21111-1-1-1-12-12-1-1-1-1-1220011-2-2-1-1-1-100001111111100002200-1-1-1-10000-2-2001111000000000000
χ22222222-1222-12-1222-12-2-2-2-22-1-12-12-1-1-1-12-1-12-122-1-1-1-12-2-2-2-2-2-21111-1-1-1-12-12-1-1-1-1-1-2-20011-2-211110000111111110000-2-200111100002200-1-1-1-1000000000000
χ23222222-1-2-22-12-1222-1222222-1-12-12-1-1-1-12-11-21-2-21111-2-2-22222-1-1-1-1-1-1-1-1-21-211111000011-2-2−i3i3−i3i30000-1-111-1-11100000000−i3i3−i3i300000000−i3i3−i3i3000000000000
χ24222222-1-2-22-12-1222-1222222-1-12-12-1-1-1-12-11-21-2-21111-2-2-22222-1-1-1-1-1-1-1-1-21-211111000011-2-2i3−i3i3−i30000-1-111-1-11100000000i3−i3i3−i300000000i3−i3i3−i3000000000000
χ25222222-1-2-22-12-1222-12-2-2-2-22-1-12-12-1-1-1-12-11-21-2-21111-222-2-2-2-21111-1-1-1-1-21-2111110000-1-122−i3i3−i3i3000011-1-111-1-100000000−i3i3−i3i300000000i3−i3i3−i3000000000000
χ26222222-1-2-22-12-1222-12-2-2-2-22-1-12-12-1-1-1-12-11-21-2-21111-222-2-2-2-21111-1-1-1-1-21-2111110000-1-122i3−i3i3−i3000011-1-111-1-100000000i3−i3i3−i300000000−i3i3−i3i3000000000000
χ2722222-122222-1222-12-12222-12-1-12-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-12-12-1-1-1-1002222-1-10000-1-1-1-1-1-1-1-1-1-1-1-1000000220000-1-1-1-100220000-1-1-1-100000000
χ2822222-122222-1222-12-12222-12-1-12-12-1-1-1-12222-1-1-1-1-1-1222-1-1-1-12222-1-1-1-1-12-12-1-1-1-100-2-222-1-100001111-1-1-1-1-1-1-1-1000000-2-20000111100-2-20000111100000000
χ2922222-122222-1222-12-1-2-2-2-2-12-1-12-12-1-1-1-12222-1-1-1-1-1-12-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-10022-2-2110000-1-1-1-111111111000000220000-1-1-1-100-2-20000111100000000
χ3022222-122222-1222-12-1-2-2-2-2-12-1-12-12-1-1-1-12222-1-1-1-1-1-12-2-21111-2-2-2-2-1-1-1-1-12-12-1-1-1-100-2-2-2-2110000111111111111000000-2-20000111100220000-1-1-1-100000000
χ3122222-12-2-222-1222-12-12222-12-1-12-12-1-1-1-12-2-2-2111111-2-2-2-1-1-1-12222-1-1-1-11-21-211110000-2-2110000−i3i3−i3i3-1-111-1-111000000000000−i3i3−i3i300000000−i3i3−i3i300000000
χ3222222-12-2-222-1222-12-12222-12-1-12-12-1-1-1-12-2-2-2111111-2-2-2-1-1-1-12222-1-1-1-11-21-211110000-2-2110000i3−i3i3−i3-1-111-1-111000000000000i3−i3i3−i300000000i3−i3i3−i300000000
χ3322222-12-2-222-1222-12-1-2-2-2-2-12-1-12-12-1-1-1-12-2-2-2111111-2221111-2-2-2-2-1-1-1-11-21-21111000022-1-10000−i3i3−i3i311-1-111-1-1000000000000−i3i3−i3i300000000i3−i3i3−i300000000
χ3422222-12-2-222-1222-12-1-2-2-2-2-12-1-12-12-1-1-1-12-2-2-2111111-2221111-2-2-2-2-1-1-1-11-21-21111000022-1-10000i3−i3i3−i311-1-111-1-1000000000000i3−i3i3−i300000000−i3i3−i3i300000000
χ352222-12222-1222-1-12220000-1-12-1-1-1-1222-1-12-12222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-12222000022222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ362222-12222-1222-1-12220000-1-12-1-1-1-1222-1-12-12222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-200002222-2-2-2-200000000-2-2-2-2-1-111-1-1-1-1111100000000000011110000
χ372222-12222-1222-1-12220000-1-12-1-1-1-1222-1-12-12222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2220000-2-2-2-2222200000000-2-2-2-211-1-11111-1-1-1-100000000000011110000
χ382222-12222-1222-1-12220000-1-12-1-1-1-1222-1-12-12222222-10000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-2000000002222111111111111000000000000-1-1-1-10000
χ3922-2-222200-2-22-22-2-22-22-22-22222-2-2-2-22-2-220000000000002-22-22-22-222-2-20000000000000000000000002-2002-200−i2i2−i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ4022-2-222200-2-22-22-2-22-22-22-22222-2-2-2-22-2-220000000000002-22-22-22-222-2-20000000000000000000000002-2002-200i2−i2i2−i2000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ4122-2-222200-2-22-22-2-22-2-22-222222-2-2-2-22-2-22000000000000-22-22-22-2222-2-2000000000000000000000000-2200-2200−i2i2−i2i2000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ4222-2-222200-2-22-22-2-22-2-22-222222-2-2-2-22-2-22000000000000-22-22-22-2222-2-2000000000000000000000000-2200-2200i2−i2i2−i2000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ432-22-222200-2-2-22-222-2-22i−2i−2i2i222-22-2-2-2-222-20000000000002i−2i−2i2i2i−2i−2i2i2-22-20000000000000000000000002i−2i00−2i2i00−i2i2i2−i2000000000000000000000000−i2i2i2−i22−2−22
χ442-22-222200-2-2-22-222-2-22i−2i−2i2i222-22-2-2-2-222-20000000000002i−2i−2i2i2i−2i−2i2i2-22-20000000000000000000000002i−2i00−2i2i00i2−i2−i2i2000000000000000000000000i2−i2−i2i2−222−2
χ452-22-222200-2-2-22-222-2-2−2i2i2i−2i222-22-2-2-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i2-22-2000000000000000000000000−2i2i002i−2i00−i2i2i2−i2000000000000000000000000−i2i2i2−i2−222−2
χ462-22-222200-2-2-22-222-2-2−2i2i2i−2i222-22-2-2-2-222-2000000000000−2i2i2i−2i−2i2i2i−2i2-22-2000000000000000000000000−2i2i002i−2i00i2−i2−i2i2000000000000000000000000i2−i2−i2i22−2−22
χ472-2-22222-2222-2-2-2-2-2-222i2i−2i−2i222-2-2222-2-2-2-2-222-22-2-222-2−2i2i2i2i−2i−2i2i2i−2i−2i2-2-22-2-222-2-2220000−2i2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ482-2-22222-2222-2-2-2-2-2-22−2i−2i2i2i222-2-2222-2-2-2-2-222-22-2-222-22i−2i−2i−2i2i2i−2i−2i2i2i2-2-22-2-222-2-22200002i−2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ492-2-2222-12-22-1-21-2-2-2122i2i−2i−2i2-1-1-212-1-111-21-1-212-2-1-11122i−2i2i2i−2i−2i−i−iii-111-12-1-21-1-1112i−2i00−ii2i−2i−i−iii0000−i−i−i−iiiii00002i−2i00−i−iii00002-200-1-111000000000000
χ502-2-2222-12-22-1-21-2-2-2122i2i−2i−2i2-1-1-212-1-111-21-1-212-2-1-11122i−2i2i2i−2i−2i−i−iii-111-12-1-21-1-111−2i2i00−ii2i−2iii−i−i0000−i−i−i−iiiii0000−2i2i00ii−i−i0000-220011-1-1000000000000
χ512-2-2222-12-22-1-21-2-2-212−2i−2i2i2i2-1-1-212-1-111-21-1-212-2-1-1112−2i2i−2i−2i2i2iii−i−i-111-12-1-21-1-1112i−2i00i−i−2i2i−i−iii0000iiii−i−i−i−i00002i−2i00−i−iii0000-220011-1-1000000000000
χ522-2-2222-12-22-1-21-2-2-212−2i−2i2i2i2-1-1-212-1-111-21-1-212-2-1-1112−2i2i−2i−2i2i2iii−i−i-111-12-1-21-1-111−2i2i00i−i−2i2iii−i−i0000iiii−i−i−i−i0000−2i2i00ii−i−i00002-200-1-111000000000000
χ532-2-2222-1-222-1-21-2-2-2122i2i−2i−2i2-1-1-212-1-111-2112-1-2211-1-1-2−2i2i2i2i−2i−2i−i−iii-111-1-212-111-1-10000i−i−2i2i3−3−330000−i−iiiii−i−i000000003−3−3300000000−i3i3i3−i3000000000000
χ542-2-2222-1-222-1-21-2-2-2122i2i−2i−2i2-1-1-212-1-111-2112-1-2211-1-1-2−2i2i2i2i−2i−2i−i−iii-111-1-212-111-1-10000i−i−2i2i−333−30000−i−iiiii−i−i00000000−333−300000000i3−i3−i3i3000000000000
χ552-2-2222-1-222-1-21-2-2-212−2i−2i2i2i2-1-1-212-1-111-2112-1-2211-1-1-22i−2i−2i−2i2i2iii−i−i-111-1-212-111-1-10000−ii2i−2i3−3−330000ii−i−i−i−iii000000003−3−3300000000i3−i3−i3i3000000000000
χ562-2-2222-1-222-1-21-2-2-212−2i−2i2i2i2-1-1-212-1-111-2112-1-2211-1-1-22i−2i−2i−2i2i2iii−i−i-111-1-212-111-1-10000−ii2i−2i−333−30000ii−i−i−i−iii00000000−333−300000000−i3i3i3−i3000000000000
χ572-2-222-122-2221-2-2-21-2-12i2i−2i−2i-12-11-2-12-1111-22-2-2-11-1-11122i−2i−i−iii2i2i−2i−2i-111-1-121-2-1-111002i−2i2i−2i−ii0000−i−iii−i−i−i−iiiii0000002i−2i0000−i−iii002-20000-1-11100000000
χ582-2-222-122-2221-2-2-21-2-12i2i−2i−2i-12-11-2-12-1111-22-2-2-11-1-11122i−2i−i−iii2i2i−2i−2i-111-1-121-2-1-11100−2i2i2i−2i−ii0000ii−i−i−i−i−i−iiiii000000−2i2i0000ii−i−i00-22000011-1-100000000
χ592-2-222-122-2221-2-2-21-2-1−2i−2i2i2i-12-11-2-12-1111-22-2-2-11-1-1112−2i2iii−i−i−2i−2i2i2i-111-1-121-2-1-111002i−2i−2i2ii−i0000−i−iiiiiii−i−i−i−i0000002i−2i0000−i−iii00-22000011-1-100000000
χ602-2-222-122-2221-2-2-21-2-1−2i−2i2i2i-12-11-2-12-1111-22-2-2-11-1-1112−2i2iii−i−i−2i−2i2i2i-111-1-121-2-1-11100−2i2i−2i2ii−i0000ii−i−iiiii−i−i−i−i000000−2i2i0000ii−i−i002-20000-1-11100000000
χ612-2-222-12-22221-2-2-21-2-12i2i−2i−2i-12-11-2-12-1111-2-2221-111-1-1-2−2i2i−i−iii2i2i−2i−2i-111-11-2-1211-1-10000−2i2ii−i00003−3−33−i−iiiii−i−i0000000000003−3−3300000000−i3i3i3−i300000000
χ622-2-222-12-22221-2-2-21-2-12i2i−2i−2i-12-11-2-12-1111-2-2221-111-1-1-2−2i2i−i−iii2i2i−2i−2i-111-11-2-1211-1-10000−2i2ii−i0000−333−3−i−iiiii−i−i000000000000−333−300000000i3−i3−i3i300000000
χ632-2-222-12-22221-2-2-21-2-1−2i−2i2i2i-12-11-2-12-1111-2-2221-111-1-1-22i−2iii−i−i−2i−2i2i2i-111-11-2-1211-1-100002i−2i−ii00003−3−33ii−i−i−i−iii0000000000003−3−3300000000i3−i3−i3i300000000
χ642-2-222-12-22221-2-2-21-2-1−2i−2i2i2i-12-11-2-12-1111-2-2221-111-1-1-22i−2iii−i−i−2i−2i2i2i-111-11-2-1211-1-100002i−2i−ii0000−333−3ii−i−i−i−iii000000000000−333−300000000−i3i3i3−i300000000
χ652-2-22-1222-2-12-2-211-2-220000-1-1211-1-12-2-21121-22-222-2-2-10000000000-111-1-1-111-1-1112i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000022-2-2−ii−ii−i−iii−i−iii000000000000-1-1110000
χ662-2-22-1222-2-12-2-211-2-220000-1-1211-1-12-2-21121-22-222-2-2-10000000000-111-1-1-111-1-1112i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000-2-222−iii−i−i−iiiii−i−i00000000000011-1-10000
χ672-2-22-1222-2-12-2-211-2-220000-1-1211-1-12-2-21121-22-222-2-2-10000000000-111-1-1-111-1-111−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000-2-222i−i−iiii−i−i−i−iii00000000000011-1-10000
χ682-2-22-1222-2-12-2-211-2-220000-1-1211-1-12-2-21121-22-222-2-2-10000000000-111-1-1-111-1-111−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000022-2-2i−ii−iii−i−iii−i−i000000000000-1-1110000
χ6944444-2-2444-2-2-244-2-2-24444-2-21-2-2-2-2111-2-2-24-2-2-21111444-2-2-2-2-2-2-2-21111-2-2-2-211110000-2-2-2-20000000011111111000000000000000000000000000000000000
χ7044444-2-2444-2-2-244-2-2-2-4-4-4-4-2-21-2-2-2-2111-2-2-24-2-2-211114-4-4222222221111-2-2-2-211110000222200000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ7144444-2-2-4-44-2-2-244-2-2-24444-2-21-2-2-2-2111-2-22-4222-1-1-1-1-4-4-4-2-2-2-2-2-2-2-211112222-1-1-1-1000022220000000011-1-111-1-1000000000000000000000000000000000000
χ7244444-2-2-4-44-2-2-244-2-2-2-4-4-4-4-2-21-2-2-2-2111-2-22-4222-1-1-1-1-4442222222211112222-1-1-1-10000-2-2-2-200000000-1-111-1-111000000000000000000000000000000000000
χ734444-244-4-4-2444-2-24440000-2-24-2-2-2-2444-2-2-42-4-4-4-4-4-4-420000000000-2-2-2-222222222000000000000000000000000000000000000000000000000000000000000
χ744444-24-244-2-24-2-2-24-240000-21-2-21-21-2-2-2-21-2-2-244-2-2-2-2-200000000001111-21-21111144000000-2-2-2-20000000000000000-2-2001111000000000000000000000000
χ754444-24-244-2-24-2-2-24-240000-21-2-21-21-2-2-2-21-2-2-244-2-2-2-2-200000000001111-21-211111-4-4000000222200000000000000002200-1-1-1-1000000000000000000000000
χ764444-24-2-4-4-2-24-2-2-24-240000-21-2-21-21-2-2-2-21222-4-422222000000000011112-12-1-1-1-1-100000000−2i32i3−2i32i300000000000000000000i3−i3i3−i3000000000000000000000000
χ774444-24-2-4-4-2-24-2-2-24-240000-21-2-21-21-2-2-2-21222-4-422222000000000011112-12-1-1-1-1-1000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i3000000000000000000000000
χ784444-2-2444-24-24-2-2-24-200001-2-21-21-2-2-2-21-24-24-2-2-2-2-2-2-2000000000011111-21-21111004400000000-2-2-2-200000000000000-2-20000111100000000000000000000
χ794444-2-2444-24-24-2-2-24-200001-2-21-21-2-2-2-21-24-24-2-2-2-2-2-2-2000000000011111-21-2111100-4-400000000222200000000000000220000-1-1-1-100000000000000000000
χ804444-2-24-4-4-24-24-2-2-24-200001-2-21-21-2-2-2-21-2-42-4222222200000000001111-12-12-1-1-1-1000000000000−2i32i3−2i32i300000000000000000000i3−i3i3−i300000000000000000000
χ814444-2-24-4-4-24-24-2-2-24-200001-2-21-21-2-2-2-21-2-42-4222222200000000001111-12-12-1-1-1-10000000000002i3−2i32i3−2i300000000000000000000−i3i3−i3i300000000000000000000
χ8244-4-444-200-42424-4-4-2-44-44-44-2-242-422-22-4-20000000000004-44-4-22-22-2-222000000000000000000000000-2200-2200000000000000000000000000000000000000
χ8344-4-444-200-42424-4-4-2-4-44-444-2-242-422-22-4-2000000000000-44-442-22-2-2-2220000000000000000000000002-2002-200000000000000000000000000000000000000
χ8444-4-44-2400-4-4-2-44-42424-44-4-24-2-2-42-42-2224000000000000-22-224-44-4-2-222000000000000000000000000-2200-2200000000000000000000000000000000000000
χ8544-4-44-2400-4-4-2-44-4242-44-44-24-2-2-42-42-22240000000000002-22-2-44-44-2-2220000000000000000000000002-2002-200000000000000000000000000000000000000
χ8644-4-44-2-200-42-224-42-224-44-4-2-21-2222-11-12-2000003i−3i3i−3i000-22-22-22-2211-1-100003i−3i3i−3i00000000000000001-13i−3i1-13i−3i000000000000000000000000000000000000
χ8744-4-44-2-200-42-224-42-224-44-4-2-21-2222-11-12-200000−3i3i−3i3i000-22-22-22-2211-1-10000−3i3i−3i3i00000000000000001-1−3i3i1-1−3i3i000000000000000000000000000000000000
χ8844-4-44-2-200-42-224-42-22-44-44-2-21-2222-11-12-2000003i−3i3i−3i0002-22-22-22-211-1-100003i−3i3i−3i0000000000000000-11−3i3i-11−3i3i000000000000000000000000000000000000
χ8944-4-44-2-200-42-224-42-22-44-44-2-21-2222-11-12-200000−3i3i−3i3i0002-22-22-22-211-1-10000−3i3i−3i3i0000000000000000-113i−3i-113i−3i000000000000000000000000000000000000
χ9044-4-4-244002-44-4-22-44-40000-2-24-2222-44-42-200000000000000000000-2-22200000000000000000000000000000000−2i22i2−2i22i2000000000000000000000000i2−i2i2−i20000
χ9144-4-4-244002-44-4-22-44-40000-2-24-2222-44-42-200000000000000000000-2-222000000000000000000000000000000002i2−2i22i2−2i2000000000000000000000000−i2i2−i2i20000
χ924-44-444-200-42-4-2-4442-44i−4i−4i4i4-2-2-4-2-4222-2420000000000004i−4i−4i4i−2i2i2i−2i-22-22000000000000000000000000−2i2i002i−2i00000000000000000000000000000000000000
χ934-44-444-200-42-4-2-4442-4−4i4i4i−4i4-2-2-4-2-4222-242000000000000−4i4i4i−4i2i−2i−2i2i-22-220000000000000000000000002i−2i00−2i2i00000000000000000000000000000000000000
χ944-44-44-2400-4-424-44-2-424i−4i−4i4i-24-2242-422-2-2-4000000000000−2i2i2i−2i4i−4i−4i4i-22-22000000000000000000000000−2i2i002i−2i00000000000000000000000000000000000000
χ954-44-44-2400-4-424-44-2-42−4i4i4i−4i-24-2242-422-2-2-40000000000002i−2i−2i2i−4i4i4i−4i-22-220000000000000000000000002i−2i00−2i2i00000000000000000000000000000000000000
χ964-44-44-2-200-422-2-44-2224i−4i−4i4i-2-212-222-1-11-22000003i−3i−3i3i000−2i2i2i−2i−2i2i2i−2i1-11-100003i−3i−3i3i0000000000000000i−i-33−ii3-3000000000000000000000000000000000000
χ974-44-44-2-200-422-2-44-2224i−4i−4i4i-2-212-222-1-11-2200000−3i3i3i−3i000−2i2i2i−2i−2i2i2i−2i1-11-10000−3i3i3i−3i0000000000000000i−i3-3−ii-33000000000000000000000000000000000000
χ984-44-44-2-200-422-2-44-222−4i4i4i−4i-2-212-222-1-11-22000003i−3i−3i3i0002i−2i−2i2i2i−2i−2i2i1-11-100003i−3i−3i3i0000000000000000−ii3-3i−i-33000000000000000000000000000000000000
χ994-44-44-2-200-422-2-44-222−4i4i4i−4i-2-212-222-1-11-2200000−3i3i3i−3i0002i−2i−2i2i2i−2i−2i2i1-11-10000−3i3i3i−3i0000000000000000−ii-33i−i3-3000000000000000000000000000000000000
χ1004-44-4-244002-4-442-24-4-40000-2-242-222-4-44-2200000000000000000000-22-2200000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000i2−i2−i2i20000
χ1014-44-4-244002-4-442-24-4-40000-2-242-222-4-44-2200000000000000000000-22-22000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000−i2i2i2−i20000
χ1024-4-444-2-24-44-222-4-422-24i4i−4i−4i-2-2122-2-21-1-122-2-42-2211-1-144i−4i−2i−2i2i2i−2i−2i2i2i1-1-11-2-22211-1-10000−2i2i−2i2i00000000iiii−i−i−i−i000000000000000000000000000000000000
χ1034-4-444-2-24-44-222-4-422-2−4i−4i4i4i-2-2122-2-21-1-122-2-42-2211-1-14−4i4i2i2i−2i−2i2i2i−2i−2i1-1-11-2-22211-1-100002i−2i2i−2i00000000−i−i−i−iiiii000000000000000000000000000000000000
χ1044-4-444-2-2-444-222-4-422-24i4i−4i−4i-2-2122-2-21-1-12224-22-2-1-111-4−4i4i−2i−2i2i2i−2i−2i2i2i1-1-1122-2-2-1-11100002i−2i2i−2i00000000ii−i−i−i−iii000000000000000000000000000000000000
χ1054-4-444-2-2-444-222-4-422-2−4i−4i4i4i-2-2122-2-21-1-12224-22-2-1-111-44i−4i2i2i−2i−2i2i2i−2i−2i1-1-1122-2-2-1-1110000−2i2i−2i2i00000000−i−iiiii−i−i000000000000000000000000000000000000
χ1064-4-44-244-44-24-4-422-4-440000-2-2422-2-24-4-422-4-24-44-4-44420000000000-222-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ1074-4-44-24-24-4-2-2-4222-4240000-21-22-1-21-2222-1-2224-4-2-222-200000000001-1-11-212-111-1-14i−4i000000−2i−2i2i2i0000000000000000−2i2i00ii−i−i000000000000000000000000
χ1084-4-44-24-24-4-2-2-4222-4240000-21-22-1-21-2222-1-2224-4-2-222-200000000001-1-11-212-111-1-1−4i4i0000002i2i−2i−2i00000000000000002i−2i00−i−iii000000000000000000000000
χ1094-4-44-24-2-44-2-2-4222-4240000-21-22-1-21-2222-12-2-2-4422-2-2200000000001-1-112-1-21-1-1110000000023−23−232300000000000000000000−333−3000000000000000000000000
χ1104-4-44-24-2-44-2-2-4222-4240000-21-22-1-21-2222-12-2-2-4422-2-2200000000001-1-112-1-21-1-11100000000−232323−23000000000000000000003−3−33000000000000000000000000
χ1114-4-44-2-244-4-242-4222-4-200001-2-2-121-2-222-1242-4-22-2-222-200000000001-1-111-2-1211-1-1004i−4i00000000−2i−2i2i2i00000000000000−2i2i0000ii−i−i00000000000000000000
χ1124-4-44-2-244-4-242-4222-4-200001-2-2-121-2-222-1242-4-22-2-222-200000000001-1-111-2-1211-1-100−4i4i000000002i2i−2i−2i000000000000002i−2i0000−i−iii00000000000000000000
χ1134-4-44-2-24-44-242-4222-4-200001-2-2-121-2-222-12-4-242-222-2-2200000000001-1-11-121-2-1-11100000000000023−23−232300000000000000000000−333−300000000000000000000
χ1144-4-44-2-24-44-242-4222-4-200001-2-2-121-2-222-12-4-242-222-2-2200000000001-1-11-121-2-1-111000000000000−232323−23000000000000000000003−3−3300000000000000000000
χ1158888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-42222-40000000000-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-8-8-4-4-4-4-4-4-4-4-4000022222222222244444-2-2-2-240000000000-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-48-4004484-44-8-4-80000-42-4-4-24-24-44420000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-48004-8-4-8-4448400002-4-424-244-44-2-40000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-40044-44-444-4400002222-2-2-2-22-2-22000006i−6i6i−6i00000000000-1-1110000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-40044-44-444-4400002222-2-2-2-22-2-2200000−6i6i−6i6i00000000000-1-11100003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-48-40044-8-44-484-80000-42-4424-244-4-4-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-48004-8484-4-4-8400002-4-4-2-4-2444-424000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-400444-44-4-4440000222-22-2-2-2-222-2000006i−6i−6i6i00000000000-11-110000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4-400444-44-4-4440000222-22-2-2-2-222-200000−6i6i6i−6i00000000000-11-1100003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-48-8-4-4444444-40000222-2-2222-2-2-2-2-444-4422-2-2-40000000000-111-122-2-2-1-111000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4-88-4-4444444-40000222-2-2222-2-2-2-24-4-44-4-2-22240000000000-111-1-2-22211-1-1000000000000000000000000000000000000000000000000000000000000

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