Finite Group Databasebeta

← Group #10815960

Character table — Group #10815960

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222224444444444444444444444666666666666666688888888888888888888888812121212121212121212121216161616242424242424
order12224444223446668888121212122244444466888888121224242424224444444444888824668888121212121212242424242424242424242488888888886122424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ41111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1
χ5111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111
χ91111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1-11-1-1
χ101111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-111
χ111111111111111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-111
χ131111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-111-111
χ141111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1111111111111-1-11-1-11-1-1
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-111-1-1-1-111
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ171111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1ii−i−i-1-1i−i11-1-111ii−i−i11-1-1iiii−i−i−i−iii−i−i1-111i−ii−i-1-1ii−i−ii−iii−i−i11-1-1-11i−iii−i−i11-1-11-1i−i11-1-1i−i
χ181111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1ii−i−i-1-1i−i11-1-111ii−i−i-1-111−i−i−i−iiiii−i−iii1-111i−ii−i-1-1ii−i−ii−iii−i−i11-1-11-1−ii−i−iii-1-1111-1i−i-1-111−ii
χ191111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1−i−iii-1-1i−i-1-11111ii−i−i11-1-1−i−i−i−iiiiiii−i−i-1111i−i−ii-1-1−i−iiii−iii−i−i-1-111-11i−i−i−iii-1-111-11−ii1-11-1i−i
χ201111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1−i−iii-1-1i−i-1-11111ii−i−i-1-111iiii−i−i−i−i−i−iii-1111i−i−ii-1-1−i−iiii−iii−i−i-1-1111-1−iiii−i−i11-1-1-11−ii-11-11−ii
χ211111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111ii−i−i-1-1i−i11-1-111ii−i−i11-1-1iiii−i−i−i−iii−i−i-11-1-1−ii−ii11ii−i−ii−i−i−iii11-1-1-11i−i−i−iii11-1-1-11−ii-1-111−ii
χ221111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111ii−i−i-1-1i−i11-1-111ii−i−i-1-111−i−i−i−iiiii−i−iii-11-1-1−ii−ii11ii−i−ii−i−i−iii11-1-11-1−iiii−i−i-1-111-11−ii11-1-1i−i
χ231111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111−i−iii-1-1i−i-1-11111ii−i−i11-1-1−i−i−i−iiiiiii−i−i1-1-1-1−iii−i11−i−iiii−i−i−iii-1-111-11i−iii−i−i-1-1111-1i−i-11-11−ii
χ241111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111−i−iii-1-1i−i-1-11111ii−i−i-1-111iiii−i−i−i−i−i−iii1-1-1-1−iii−i11−i−iiii−i−i−iii-1-1111-1−ii−i−iii11-1-11-1i−i1-11-1i−i
χ251111-1-1-1-1-1-1111111−i−iii-1-1-1-111-1-1ii−i−i-1-1−ii-1-11111−i−iii11-1-1iiii−i−i−i−i−i−iii-1111−iii−i-1-1ii−i−i−ii−i−iii-1-111-11−iiii−i−i-1-111-11i−i1-11-1−ii
χ261111-1-1-1-1-1-1111111−i−iii-1-1-1-111-1-1ii−i−i-1-1−ii-1-11111−i−iii-1-111−i−i−i−iiiiiii−i−i-1111−iii−i-1-1ii−i−i−ii−i−iii-1-1111-1i−i−i−iii11-1-1-11i−i-11-11i−i
χ271111-1-1-1-1-1-1111111−i−iii-1-1-1-111-1-1−i−iii-1-1−ii11-1-111−i−iii11-1-1−i−i−i−iiiii−i−iii1-111−ii−ii-1-1−i−iii−ii−i−iii11-1-1-11−ii−i−iii11-1-11-1−ii11-1-1−ii
χ281111-1-1-1-1-1-1111111−i−iii-1-1-1-111-1-1−i−iii-1-1−ii11-1-111−i−iii-1-111iiii−i−i−i−iii−i−i1-111−ii−ii-1-1−i−iii−ii−i−iii11-1-11-1i−iii−i−i-1-1111-1−ii-1-111i−i
χ291111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-111ii−i−i-1-1−ii-1-11111−i−iii11-1-1iiii−i−i−i−i−i−iii1-1-1-1i−i−ii11ii−i−i−iiii−i−i-1-111-11−ii−i−iii-1-1111-1−ii-11-11i−i
χ301111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-111ii−i−i-1-1−ii-1-11111−i−iii-1-111−i−i−i−iiiiiii−i−i1-1-1-1i−i−ii11ii−i−i−iiii−i−i-1-1111-1i−iii−i−i11-1-11-1−ii1-11-1−ii
χ311111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-111−i−iii-1-1−ii11-1-111−i−iii11-1-1−i−i−i−iiiii−i−iii-11-1-1i−ii−i11−i−iii−iiii−i−i11-1-1-11−iiii−i−i11-1-1-11i−i-1-111i−i
χ321111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-111−i−iii-1-1−ii11-1-111−i−iii-1-111iiii−i−i−i−iii−i−i-11-1-1i−ii−i11−i−iii−iiii−i−i11-1-11-1i−i−i−iii-1-111-11i−i11-1-1−ii
χ332222222222-122-1-1-12222-1-1-1-122222222-1-1222222-1-1-1-1-1-1000000000000000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ342222222222-122-1-1-12222-1-1-1-12222-2-2-2-2-1-122-2-2-2-2-1-1-1-1-1-10000000000000000-2-2-1-122-2-2-1-11111-1-1-1-1-1-111110000000000001111000000
χ352222222222-122-1-1-12222-1-1-1-1-2-2-2-22222-1-1222222-1-1-1-1-1-10000000000000000-2-211-2-2-2-211-1-1-1-1-1-11111-1-1-1-10000000000001111000000
χ362222222222-122-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-2-1-122-2-2-2-2-1-1-1-1-1-100000000000000002211-2-222111111-1-111111111000000000000-1-1-1-1000000
χ372222222222-122-1-1-1-2-2-2-2-1-1-1-122222222-1-1-2-2-2-2-2-2-1-111110000000000000000-2-2-1-1-2-222-1-1-1-1-1-1111111111100000000000011-1-1000000
χ382222222222-122-1-1-1-2-2-2-2-1-1-1-12222-2-2-2-2-1-1-2-22222-1-11111000000000000000022-1-1-2-2-2-2-1-11111111111-1-1-1-1000000000000-1-111000000
χ392222222222-122-1-1-1-2-2-2-2-1-1-1-1-2-2-2-22222-1-1-2-2-2-2-2-2-1-111110000000000000000221122-2-211-1-1-1-111-1-1-1-11111000000000000-1-111000000
χ402222222222-122-1-1-1-2-2-2-2-1-1-1-1-2-2-2-2-2-2-2-2-1-1-2-22222-1-111110000000000000000-2-211222211111111-1-1-1-1-1-1-1-100000000000011-1-1000000
χ4122222222-2-22-2-22222222222200000000-2-2-2-20000-2-22222222200000000222200000000000000-2-200000000-2-2-2-2000000000000000000
χ4222222222-2-22-2-22222222222200000000-2-2-2-20000-2-22222-2-2-2-200000000-2-2-2-200000000000000-2-2000000002222000000000000000000
χ4322222222-2-22-2-2222-2-2-2-2222200000000-2-2220000-2-2-2-2-2-2222200000000-2-2-2-2000000000000002200000000-2-222000000000000000000
χ4422222222-2-22-2-2222-2-2-2-2222200000000-2-2220000-2-2-2-2-2-2-2-2-2-200000000222200000000000000220000000022-2-2000000000000000000
χ452222-2-2-2-2222-2-22222i2i−2i−2i-2-2-2-20000000022−2i2i0000-2-22i2i−2i−2i22-2-2000000002i2i−2i−2i00000000000000−2i2i000000002-2−2i2i000000000000000000
χ462222-2-2-2-2222-2-22222i2i−2i−2i-2-2-2-20000000022−2i2i0000-2-22i2i−2i−2i-2-22200000000−2i−2i2i2i00000000000000−2i2i00000000-222i−2i000000000000000000
χ472222-2-2-2-2222-2-2222−2i−2i2i2i-2-2-2-200000000222i−2i0000-2-2−2i−2i2i2i22-2-200000000−2i−2i2i2i000000000000002i−2i000000002-22i−2i000000000000000000
χ482222-2-2-2-2222-2-2222−2i−2i2i2i-2-2-2-200000000222i−2i0000-2-2−2i−2i2i2i-2-222000000002i2i−2i−2i000000000000002i−2i00000000-22−2i2i000000000000000000
χ492222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i111122-2-22i2i−2i−2i112i−2i22-2-2-1-1−i−iii00000000000000002-2-1-12i−2i2i−2i11−i−iii−ii−i−iii-1-111000000000000-11−ii000000
χ502222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i111122-2-2−2i−2i2i2i112i−2i-2-222-1-1−i−iii0000000000000000-22-1-12i−2i−2i2i11ii−i−i−ii−i−iii11-1-10000000000001-1i−i000000
χ512222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i1111-2-2222i2i−2i−2i112i−2i22-2-2-1-1−i−iii0000000000000000-2211−2i2i−2i2i-1-1−i−iii−iiii−i−i-1-1110000000000001-1i−i000000
χ522222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i1111-2-222−2i−2i2i2i112i−2i-2-222-1-1−i−iii00000000000000002-211−2i2i2i−2i-1-1ii−i−i−iiii−i−i11-1-1000000000000-11−ii000000
χ532222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i111122-2-22i2i−2i−2i11−2i2i-2-222-1-1ii−i−i0000000000000000-22-1-1−2i2i2i−2i11−i−iiii−iii−i−i11-1-10000000000001-1−ii000000
χ542222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i111122-2-2−2i−2i2i2i11−2i2i22-2-2-1-1ii−i−i00000000000000002-2-1-1−2i2i−2i2i11ii−i−ii−iii−i−i-1-111000000000000-11i−i000000
χ552222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i1111-2-2222i2i−2i−2i11−2i2i-2-222-1-1ii−i−i00000000000000002-2112i−2i−2i2i-1-1−i−iiii−i−i−iii11-1-1000000000000-11i−i000000
χ562222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i1111-2-222−2i−2i2i2i11−2i2i22-2-2-1-1ii−i−i0000000000000000-22112i−2i2i−2i-1-1ii−i−ii−i−i−iii-1-1110000000000001-1−ii000000
χ5722-2-22i−2i2i−2i002002-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i00001+i−1−i1−i−1+i00002−2−i2i2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000001+i−1−i1−i−1+i0000002−2−i2i2000000002−2−i2i20000000000
χ5822-2-22i−2i2i−2i002002-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i00001+i−1−i1−i−1+i00002−2−i2i2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-22−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000001+i−1−i1−i−1+i0000002−2−i2i200000000−22i2−i20000000000
χ5922-2-22i−2i2i−2i002002-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i0000−1−i1+i−1+i1−i0000−22i2−i2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−1−i1+i−1+i1−i000000−22i2−i200000000−22i2−i20000000000
χ6022-2-22i−2i2i−2i002002-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i0000−1−i1+i−1+i1−i0000−22i2−i2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-22−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−1−i1+i−1+i1−i000000−22i2−i2000000002−2−i2i20000000000
χ6122-2-22i−2i2i−2i002002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i00001+i−1−i1−i−1+i0000−22i2−i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000001+i−1−i1−i−1+i000000−22i2−i200000000−22i2−i20000000000
χ6222-2-22i−2i2i−2i002002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i00001+i−1−i1−i−1+i0000−22i2−i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000001+i−1−i1−i−1+i000000−22i2−i2000000002−2−i2i20000000000
χ6322-2-22i−2i2i−2i002002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i0000−1−i1+i−1+i1−i00002−2−i2i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−1−i1+i−1+i1−i0000002−2−i2i2000000002−2−i2i20000000000
χ6422-2-22i−2i2i−2i002002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i0000−1−i1+i−1+i1−i00002−2−i2i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−1−i1+i−1+i1−i0000002−2−i2i200000000−22i2−i20000000000
χ6522-2-2−2i2i−2i2i002002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i00001−i−1+i1+i−1−i00002−2i2−i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000001−i−1+i1+i−1−i0000002−2i2−i2000000002−2i2−i20000000000
χ6622-2-2−2i2i−2i2i002002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i00001−i−1+i1+i−1−i00002−2i2−i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-222i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000001−i−1+i1+i−1−i0000002−2i2−i200000000−22−i2i20000000000
χ6722-2-2−2i2i−2i2i002002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i0000−1+i1−i−1−i1+i0000−22−i2i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−1+i1−i−1−i1+i000000−22−i2i200000000−22−i2i20000000000
χ6822-2-2−2i2i−2i2i002002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i0000−1+i1−i−1−i1+i0000−22−i2i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-222i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−1+i1−i−1−i1+i000000−22−i2i2000000002−2i2−i20000000000
χ6922-2-2−2i2i−2i2i002002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i00001−i−1+i1+i−1−i0000−22−i2i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000001−i−1+i1+i−1−i000000−22−i2i200000000−22−i2i20000000000
χ7022-2-2−2i2i−2i2i002002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i00001−i−1+i1+i−1−i0000−22−i2i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-222i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000001−i−1+i1+i−1−i000000−22−i2i2000000002−2i2−i20000000000
χ7122-2-2−2i2i−2i2i002002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i0000−1+i1−i−1−i1+i00002−2i2−i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−1+i1−i−1−i1+i0000002−2i2−i2000000002−2i2−i20000000000
χ7222-2-2−2i2i−2i2i002002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i0000−1+i1−i−1−i1+i00002−2i2−i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-222i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−1+i1−i−1−i1+i0000002−2i2−i200000000−22−i2i20000000000
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χ8244444444-4-4-2-4-4-2-2-2-4-4-4-4-2-2-2-20000000022440000222222000000000000000000000000000000-2-2000000000000000000000000000000
χ834444-4-4-4-444-2-4-4-2-2-24i4i−4i−4i222200000000-2-2−4i4i000022−2i−2i2i2i0000000000000000000000000000002i−2i000000000000000000000000000000
χ844444-4-4-4-444-2-4-4-2-2-2−4i−4i4i4i222200000000-2-24i−4i0000222i2i−2i−2i000000000000000000000000000000−2i2i000000000000000000000000000000
χ8544-4-44i−4i4i−4i00-200-2224ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−2i2i−2i2i00002+2i−2−2i2−2i−2+2i000022−22−2i22i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000−1−i1+i−1+i1−i000000−22i2−i20000000000000000000000
χ8644-4-44i−4i4i−4i00-200-2224ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−2i2i−2i2i0000−2−2i2+2i−2+2i2−2i0000−22222i2−2i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000001+i−1−i1−i−1+i0000002−2−i2i20000000000000000000000
χ8744-4-44i−4i4i−4i00-200-222−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−2i2i−2i2i00002+2i−2−2i2−2i−2+2i0000−22222i2−2i2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000−1−i1+i−1+i1−i0000002−2−i2i20000000000000000000000
χ8844-4-44i−4i4i−4i00-200-222−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−2i2i−2i2i0000−2−2i2+2i−2+2i2−2i000022−22−2i22i2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000001+i−1−i1−i−1+i000000−22i2−i20000000000000000000000
χ8944-4-4−4i4i−4i4i00-200-222−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232i−2i2i−2i00002−2i−2+2i2+2i−2−2i000022−222i2−2i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000−1+i1−i−1−i1+i000000−22−i2i20000000000000000000000
χ9044-4-4−4i4i−4i4i00-200-222−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232i−2i2i−2i0000−2+2i2−2i−2−2i2+2i0000−2222−2i22i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000001−i−1+i1+i−1−i0000002−2i2−i20000000000000000000000
χ9144-4-4−4i4i−4i4i00-200-2224ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ232i−2i2i−2i00002−2i−2+2i2+2i−2−2i0000−2222−2i22i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000−1+i1−i−1−i1+i0000002−2i2−i20000000000000000000000
χ9244-4-4−4i4i−4i4i00-200-2224ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ232i−2i2i−2i0000−2+2i2−2i−2−2i2+2i000022−222i2−2i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000001−i−1+i1+i−1−i000000−22−i2i20000000000000000000000
χ934-44-44i−4i−4i4i00400-44-40000−4i4i4i−4i000000000000000000000000002−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i00000000000000000000000000000000000000000000000000
χ944-44-44i−4i−4i4i00400-44-40000−4i4i4i−4i00000000000000000000000000−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i00000000000000000000000000000000000000000000000000
χ954-44-4−4i4i4i−4i00400-44-400004i−4i−4i4i000000000000000000000000002+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000000000
χ964-44-4−4i4i4i−4i00400-44-400004i−4i−4i4i00000000000000000000000000−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i00000000000000000000000000000000000000000000000000
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χ994-4-4444-4-4-444-44-4-440000-4-44400000000-440000004-4000000000000000000000000000000000000000000000000000000000000000000
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χ1054-4-44-4-444-44-24-422-20000-2-2224-4-4400002-20000002-20000000000000000000000-2200002-2000000000000000000000000000000000000
χ1064-4-44-4-444-44-24-422-20000-2-222-444-400002-20000002-200000000000000000000002-20000-22000000000000000000000000000000000000
χ1078-88-88i−8i−8i8i00-4004-4400004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8−8i8i8i−8i00-4004-440000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.