Finite Group Databasebeta

← Group #10813650

Character table — Group #10813650

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222224444444444444444444444666666666666666688888888888888888888888812121212121212121212121216161616242424242424
order122244442234466688881212121222444444668888881212242424244444888888888888446688881212121212122424242424242424242422444444448812122424448888
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
χ31111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ41111111111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111
χ101111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1
χ111111111111111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ121111111111111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111
χ131111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ141111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1111111-1-11111-1-1-1-1
χ171111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1ii−i−i-1-1i−i11-1-111ii−i−i11-1-1ii−i−i1111-1-1-1-11-111i−ii−i-1-1ii−i−ii−iii−i−i11-1-111-1-11-1ii−i−ii−i1-1i−i1-1i−ii−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−iii-1-1-1-111111-111i−ii−i-1-1ii−i−ii−iii−i−i11-1-1-1-111-11−i−iii−ii1-1i−i-11−ii−ii
χ191111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1−i−iii-1-1i−i-1-11111ii−i−i11-1-1ii−i−i-1-1-1-11111-1111i−i−ii-1-1−i−iiii−iii−i−i-1-111-1-1111-1−i−iiii−i-11−ii1-1i−i−ii
χ201111-1-1-1-1-1-1111111ii−i−i-1-1-1-111-1-1−i−iii-1-1i−i-1-11111ii−i−i-1-111−i−iii1111-1-1-1-1-1111i−i−ii-1-1−i−iiii−iii−i−i-1-11111-1-1-11ii−i−i−ii-11−ii-11−iii−i
χ211111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111ii−i−i-1-1i−i11-1-111ii−i−i11-1-1ii−i−i1111-1-1-1-1-11-1-1−ii−ii11ii−i−ii−i−i−iii11-1-1-1-1111-1ii−i−ii−i-11−ii-11−ii−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−iii-1-1-1-11111-11-1-1−ii−ii11ii−i−ii−i−i−iii11-1-111-1-1-11−i−iii−ii-11−ii1-1i−ii−i
χ231111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111−i−iii-1-1i−i-1-11111ii−i−i11-1-1ii−i−i-1-1-1-111111-1-1-1−iii−i11−i−iiii−i−i−iii-1-11111-1-11-1−i−iiii−i1-1i−i-11−iii−i
χ241111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-111−i−iii-1-1i−i-1-11111ii−i−i-1-111−i−iii1111-1-1-1-11-1-1-1−iii−i11−i−iiii−i−i−iii-1-111-1-111-11ii−i−i−ii1-1i−i1-1i−i−ii
χ251111-1-1-1-1-1-1111111−i−iii-1-1-1-111-1-1ii−i−i-1-1−ii-1-11111−i−iii11-1-1−i−iii-1-1-1-11111-1111−iii−i-1-1ii−i−i−ii−i−iii-1-111-1-1111-1ii−i−i−ii-11i−i1-1−iii−i
χ261111-1-1-1-1-1-1111111−i−iii-1-1-1-111-1-1ii−i−i-1-1−ii-1-11111−i−iii-1-111ii−i−i1111-1-1-1-1-1111−iii−i-1-1ii−i−i−ii−i−iii-1-11111-1-1-11−i−iiii−i-11i−i-11i−i−ii
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−iii1111-1-1-1-11-111−ii−ii-1-1−i−iii−ii−i−iii11-1-111-1-11-1−i−iii−ii1-1−ii1-1−ii−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-1-111ii−i−i-1-1-1-111111-111−ii−ii-1-1−i−iii−ii−i−iii11-1-1-1-111-11ii−i−ii−i1-1−ii-11i−ii−i
χ291111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-111ii−i−i-1-1−ii-1-11111−i−iii11-1-1−i−iii-1-1-1-111111-1-1-1i−i−ii11ii−i−i−iiii−i−i-1-11111-1-11-1ii−i−i−ii1-1−ii-11i−i−ii
χ301111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-111ii−i−i-1-1−ii-1-11111−i−iii-1-111ii−i−i1111-1-1-1-11-1-1-1i−i−ii11ii−i−i−iiii−i−i-1-111-1-111-11−i−iiii−i1-1−ii1-1−iii−i
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−iii1111-1-1-1-1-11-1-1i−ii−i11−i−iii−iiii−i−i11-1-1-1-1111-1−i−iii−ii-11i−i-11i−ii−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-1-111ii−i−i-1-1-1-11111-11-1-1i−ii−i11−i−iii−iiii−i−i11-1-111-1-1-11ii−i−ii−i-11i−i1-1−ii−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
χ4122222222-2-22-2-22222222222200000000-2-2-2-20000-2-22222222222220000000000000000000000-2-2000000000000-2-20000-2-20000000000
χ4222222222-2-22-2-22222222222200000000-2-2-2-20000-2-22222-2-2-2-2-2-2-2-20000000000000000000000-2-2000000000000220000220000000000
χ4322222222-2-22-2-2222-2-2-2-2222200000000-2-2220000-2-2-2-2-2-22222-2-2-2-2000000000000000000000022000000000000-2-20000220000000000
χ4422222222-2-22-2-2222-2-2-2-2222200000000-2-2220000-2-2-2-2-2-2-2-2-2-22222000000000000000000000022000000000000220000-2-20000000000
χ452222-2-2-2-2222-2-22222i2i−2i−2i-2-2-2-20000000022−2i2i0000-2-22i2i−2i−2i22-2-22i2i−2i−2i0000000000000000000000−2i2i000000000000-220000−2i2i0000000000
χ462222-2-2-2-2222-2-22222i2i−2i−2i-2-2-2-20000000022−2i2i0000-2-22i2i−2i−2i-2-222−2i−2i2i2i0000000000000000000000−2i2i0000000000002-200002i−2i0000000000
χ472222-2-2-2-2222-2-2222−2i−2i2i2i-2-2-2-200000000222i−2i0000-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00000000000000000000002i−2i000000000000-2200002i−2i0000000000
χ482222-2-2-2-2222-2-2222−2i−2i2i2i-2-2-2-200000000222i−2i0000-2-2−2i−2i2i2i-2-2222i2i−2i−2i00000000000000000000002i−2i0000000000002-20000−2i2i0000000000
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
χ5722-2-222-2-22-22-22-2-22000022-2-22-22-200002-20000002-200000000000022-2-222-2-2002-200002-2000000000000002-22-2000000000000000000
χ5822-2-222-2-22-22-22-2-22000022-2-22-22-200002-20000002-2000000000000-2-222-2-222002-200002-200000000000000-22-22000000000000000000
χ5922-2-222-2-22-22-22-2-22000022-2-2-22-2200002-20000002-200000000000022-2-222-2-200-220000-2200000000000000-22-22000000000000000000
χ6022-2-222-2-22-22-22-2-22000022-2-2-22-2200002-20000002-2000000000000-2-222-2-22200-220000-22000000000000002-22-2000000000000000000
χ6122-2-2-2-222-222-22-2-220000-2-2222-2-220000-220000002-200000000000022-2-2-2-222002-20000-22000000000000002-2-22000000000000000000
χ6222-2-2-2-222-222-22-2-220000-2-2222-2-220000-220000002-2000000000000-2-22222-2-2002-20000-2200000000000000-222-2000000000000000000
χ6322-2-2-2-222-222-22-2-220000-2-222-222-20000-220000002-200000000000022-2-2-2-22200-2200002-200000000000000-222-2000000000000000000
χ6422-2-2-2-222-222-22-2-220000-2-222-222-20000-220000002-2000000000000-2-22222-2-200-2200002-2000000000000002-2-22000000000000000000
χ652-22-22i−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−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132−22−2−i2i2−i2i200000000001+i−1−i1−i−1+i0000002−2−i2i20000001+i−1−i1−i−1+i000000000000
χ662-22-22i−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−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−22−22i2−i2i2−i200000000001+i−1−i1−i−1+i0000002−2−i2i2000000−1−i1+i−1+i1−i000000000000
χ672-22-22i−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−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−22−22i2−i2i2−i20000000000−1−i1+i−1+i1−i000000−22i2−i2000000−1−i1+i−1+i1−i000000000000
χ682-22-22i−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+2ζ13-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132−22−2−i2i2−i2i20000000000−1−i1+i−1+i1−i000000−22i2−i20000001+i−1−i1−i−1+i000000000000
χ692-22-22i−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−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−22−22i2−i2i2−i200000000001+i−1−i1−i−1+i000000−22i2−i20000001+i−1−i1−i−1+i000000000000
χ702-22-22i−2i2i−2i002002-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i00001+i−1−i1−i−1+i0000−22i2−i200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132−22−2−i2i2−i2i200000000001+i−1−i1−i−1+i000000−22i2−i2000000−1−i1+i−1+i1−i000000000000
χ712-22-22i−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−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132−22−2−i2i2−i2i20000000000−1−i1+i−1+i1−i0000002−2−i2i2000000−1−i1+i−1+i1−i000000000000
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χ732-22-2−2i2i−2i2i002002-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i00001−i−1+i1+i−1−i00002−2i2−i200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232−22−2i2−i2i2−i200000000001−i−1+i1+i−1−i0000002−2i2−i20000001−i−1+i1+i−1−i000000000000
χ742-22-2−2i2i−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−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−22−22−i2i2−i2i200000000001−i−1+i1+i−1−i0000002−2i2−i2000000−1+i1−i−1−i1+i000000000000
χ752-22-2−2i2i−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−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−22−22−i2i2−i2i20000000000−1+i1−i−1−i1+i000000−22−i2i2000000−1+i1−i−1−i1+i000000000000
χ762-22-2−2i2i−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−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232−22−2i2−i2i2−i20000000000−1+i1−i−1−i1+i000000−22−i2i20000001−i−1+i1+i−1−i000000000000
χ772-22-2−2i2i−2i2i002002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i00001−i−1+i1+i−1−i0000−22−i2i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−22−22−i2i2−i2i200000000001−i−1+i1+i−1−i000000−22−i2i20000001−i−1+i1+i−1−i000000000000
χ782-22-2−2i2i−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−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232−22−2i2−i2i2−i200000000001−i−1+i1+i−1−i000000−22−i2i2000000−1+i1−i−1−i1+i000000000000
χ792-22-2−2i2i−2i2i002002-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i0000−1+i1−i−1−i1+i00002−2i2−i2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232−22−2i2−i2i2−i20000000000−1+i1−i−1−i1+i0000002−2i2−i2000000−1+i1−i−1−i1+i000000000000
χ802-22-2−2i2i−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−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−22−22−i2i2−i2i20000000000−1+i1−i−1−i1+i0000002−2i2−i20000001−i−1+i1+i−1−i000000000000
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χ974-44-44i−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
χ984-44-44i−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
χ994-44-4−4i4i−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
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χ1088-8-88−8i8i8i−8i00-4004-4400004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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