Finite Group Databasebeta

← Group #10813648

Character table — Group #10813648

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222224444444444444444444444666666666666666688888888888888888888888812121212121212121212121216161616242424242424
order122244442234444446661212121222444444444444661212121212128888888888888888446688881212121212121212121212121212121222448888888824242424448888
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
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ5111111111111111111111111-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ911111111111-1-1-1-111111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ1011111111111-1-1-1-111111111111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ1111111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1111111-1-1
χ1211111111111-1-1-1-111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-1111111-1-1-1-1-1-111
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1
χ171111-1-1-1-1-1-1111-1-111111-1-1-1-1111-1-1-1ii−i−iii−i−i-1-11111-1-1ii−i−iii−i−i1111-1-1-1-11-111i−ii−i1-1-1-111-1-1ii−i−iii−i−i11-1-1i−ii−i11-1-1i−ii−i1-1i−ii−i
χ181111-1-1-1-1-1-1111-1-111111-1-1-1-1111-1-1-1ii−i−iii−i−i-1-11111-1-1−i−iii−i−iii-1-1-1-111111-111i−ii−i1-1-1-111-1-1ii−i−iii−i−i-1-111−ii−ii-1-111i−ii−i-11−ii−ii
χ191111-1-1-1-1-1-1111-1-111111-1-1-1-1111-1-1-1−i−iii−i−iii-1-11111-1-1ii−i−iii−i−i-1-1-1-111111-111−ii−ii1-1-1-111-1-1−i−iii−i−iii-1-111i−ii−i-1-111−ii−ii-11i−ii−i
χ201111-1-1-1-1-1-1111-1-111111-1-1-1-1111-1-1-1−i−iii−i−iii-1-11111-1-1−i−iii−i−iii1111-1-1-1-11-111−ii−ii1-1-1-111-1-1−i−iii−i−iii11-1-1−ii−ii11-1-1−ii−ii1-1−ii−ii
χ211111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-11-111ii−i−iii−i−i-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1-11-1-1−ii−ii1-111-1-111ii−i−iii−i−i-1-111i−ii−i11-1-1−ii−ii-11−ii−ii
χ221111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-11-111ii−i−iii−i−i-1-11111-1-1−i−iii−i−iii-1-1-1-11111-11-1-1−ii−ii1-111-1-111ii−i−iii−i−i11-1-1−ii−ii-1-111−ii−ii1-1i−ii−i
χ231111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-11-111−i−iii−i−iii-1-11111-1-1ii−i−iii−i−i-1-1-1-11111-11-1-1i−ii−i1-111-1-111−i−iii−i−iii11-1-1i−ii−i-1-111i−ii−i1-1−ii−ii
χ241111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-11-111−i−iii−i−iii-1-11111-1-1−i−iii−i−iii1111-1-1-1-1-11-1-1i−ii−i1-111-1-111−i−iii−i−iii-1-111−ii−ii11-1-1i−ii−i-11i−ii−i
χ251111-1-1-1-1-1-11-1-11111111-1-1-1-111-11-1-1ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii1111-1-1-1-1-1111i−i−ii-11-1-1-1-111ii−i−i−i−iii11-1-1i−i−ii-1-111i−i−ii-11i−i−ii
χ261111-1-1-1-1-1-11-1-11111111-1-1-1-111-11-1-1ii−i−i−i−iii-1-111-1-111−i−iiiii−i−i-1-1-1-11111-1111i−i−ii-11-1-1-1-111ii−i−i−i−iii-1-111−iii−i11-1-1i−i−ii1-1−iii−i
χ271111-1-1-1-1-1-11-1-11111111-1-1-1-111-11-1-1−i−iiiii−i−i-1-111-1-111ii−i−i−i−iii-1-1-1-11111-1111−iii−i-11-1-1-1-111−i−iiiii−i−i-1-111i−i−ii11-1-1−iii−i1-1i−i−ii
χ281111-1-1-1-1-1-11-1-11111111-1-1-1-111-11-1-1−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i1111-1-1-1-1-1111−iii−i-11-1-1-1-111−i−iiiii−i−i11-1-1−iii−i-1-111−iii−i-11−iii−i
χ291111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1111ii−i−i−i−iii-1-111-1-111ii−i−i−i−iii1111-1-1-1-11-1-1-1−iii−i-111111-1-1ii−i−i−i−iii-1-111i−i−ii-1-111−iii−i1-1−iii−i
χ301111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1111ii−i−i−i−iii-1-111-1-111−i−iiiii−i−i-1-1-1-111111-1-1-1−iii−i-111111-1-1ii−i−i−i−iii11-1-1−iii−i11-1-1−iii−i-11i−i−ii
χ311111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1111−i−iiiii−i−i-1-111-1-111ii−i−i−i−iii-1-1-1-111111-1-1-1i−i−ii-111111-1-1−i−iiiii−i−i11-1-1i−i−ii11-1-1i−i−ii-11−iii−i
χ321111-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1111−i−iiiii−i−i-1-111-1-111−i−iiiii−i−i1111-1-1-1-11-1-1-1i−i−ii-111111-1-1−i−iiiii−i−i-1-111−iii−i-1-111i−i−ii1-1i−i−ii
χ332222222222-1222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1000000000000000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ342222222222-1222222-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1000000000000000022-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000001111000000
χ352222222222-1222222-1-1-1-1-1-1-1-2-222-2-222222222-1-1-1-1-1-1-1-10000000000000000-2-211-2-2-2-2-1-1111111-1-1-1-1-1-1-1-10000000000001111000000
χ362222222222-1222222-1-1-1-1-1-1-1-2-222-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000000000-2-2112222-1-111111111111111000000000000-1-1-1-1000000
χ372222222222-1-2-2-2-222-1-1-1-1-1-1-122-2-2222222-2-2-2-2-1-1-1-111110000000000000000-2-2-1-122-2-211-1-11111-1-1-1-11111000000000000-1-111000000
χ382222222222-1-2-2-2-222-1-1-1-1-1-1-122-2-222-2-2-2-22222-1-1-1-111110000000000000000-2-2-1-1-2-22211-1-111111111-1-1-1-100000000000011-1-1000000
χ392222222222-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-1-1-1-1111100000000000000002211-2-2221111-1-1-1-1-1-1-1-1111100000000000011-1-1000000
χ402222222222-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-1-1-111110000000000000000221122-2-21111-1-1-1-11111-1-1-1-1000000000000-1-111000000
χ4122222222-2-222222-2-2222222200-2-20000000000-2-2-2-22222222222220000000000000000-2-2000000000000000000-2-2-2-200000000000000
χ4222222222-2-222222-2-2222222200-2-20000000000-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-2000000000000000000222200000000000000
χ4322222222-2-22-2-2-2-2-2-2222222200220000000000-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022000000000000000000-2-22200000000000000
χ4422222222-2-22-2-2-2-2-2-2222222200220000000000-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000002200000000000000000022-2-200000000000000
χ452222-2-2-2-222222-2-2-2-2222-2-2-2-200-22000000000022-2-222-2-22i2i−2i−2i2i2i−2i−2i0000000000000000-22000000000000000000−2i2i−2i2i00000000000000
χ462222-2-2-2-222222-2-2-2-2222-2-2-2-200-22000000000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000-220000000000000000002i−2i2i−2i00000000000000
χ472222-2-2-2-2222-2-222-2-2222-2-2-2-2002-2000000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i00000000000000002-2000000000000000000−2i2i2i−2i00000000000000
χ482222-2-2-2-2222-2-222-2-2222-2-2-2-2002-2000000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i00000000000000002-20000000000000000002i−2i−2i2i00000000000000
χ492222-2-2-2-2-2-2-122-2-222-1-1-11111222-2-2-22i2i−2i−2i2i2i−2i−2i11-1-1-1-11100000000000000002-2-1-12i−2i2i−2i-1111-1-111−i−iii−i−iii000000000000−ii−ii000000
χ502222-2-2-2-2-2-2-122-2-222-1-1-11111222-2-2-2−2i−2i2i2i−2i−2i2i2i11-1-1-1-11100000000000000002-2-1-1−2i2i−2i2i-1111-1-111ii−i−iii−i−i000000000000i−ii−i000000
χ512222-2-2-2-2-2-2-122-2-222-1-1-11111-2-22-2222i2i−2i−2i2i2i−2i−2i11-1-1-1-1110000000000000000-2211−2i2i−2i2i-11-1-111-1-1−i−iii−i−iii000000000000i−ii−i000000
χ522222-2-2-2-2-2-2-122-2-222-1-1-11111-2-22-222−2i−2i2i2i−2i−2i2i2i11-1-1-1-1110000000000000000-22112i−2i2i−2i-11-1-111-1-1ii−i−iii−i−i000000000000−ii−ii000000
χ532222-2-2-2-2-2-2-1-2-22222-1-1-1111122-22-2-22i2i−2i−2i−2i−2i2i2i11-1-111-1-10000000000000000-22-1-12i−2i−2i2i1-11111-1-1−i−iiiii−i−i000000000000−iii−i000000
χ542222-2-2-2-2-2-2-1-2-22222-1-1-1111122-22-2-2−2i−2i2i2i2i2i−2i−2i11-1-111-1-10000000000000000-22-1-1−2i2i2i−2i1-11111-1-1ii−i−i−i−iii000000000000i−i−ii000000
χ552222-2-2-2-2-2-2-1-2-22222-1-1-11111-2-2-22222i2i−2i−2i−2i−2i2i2i11-1-111-1-100000000000000002-211−2i2i2i−2i1-1-1-1-1-111−i−iiiii−i−i000000000000i−i−ii000000
χ562222-2-2-2-2-2-2-1-2-22222-1-1-11111-2-2-2222−2i−2i2i2i2i2i−2i−2i11-1-111-1-100000000000000002-2112i−2i−2i2i1-1-1-1-1-111ii−i−i−i−iii000000000000−iii−i000000
χ5722-2-222-2-22-2200002-22-2-222-2-22-2002-2000000002-22-200000000000022-2-222-2-2002-20000002-20000000000002-22-2000000000000000000
χ5822-2-222-2-22-2200002-22-2-222-2-22-2002-2000000002-22-2000000000000-2-222-2-222002-20000002-2000000000000-22-22000000000000000000
χ5922-2-222-2-22-2200002-22-2-222-2-2-2200-22000000002-22-200000000000022-2-222-2-200-22000000-22000000000000-22-22000000000000000000
χ6022-2-222-2-22-2200002-22-2-222-2-2-2200-22000000002-22-2000000000000-2-222-2-22200-22000000-220000000000002-22-2000000000000000000
χ6122-2-2-2-222-22200002-22-2-2-2-2222-200-2200000000-222-200000000000022-2-2-2-222002-2000000-220000000000002-2-22000000000000000000
χ6222-2-2-2-222-22200002-22-2-2-2-2222-200-2200000000-222-2000000000000-2-22222-2-2002-2000000-22000000000000-222-2000000000000000000
χ6322-2-2-2-222-22200002-22-2-2-2-222-22002-200000000-222-200000000000022-2-2-2-22200-220000002-2000000000000-222-2000000000000000000
χ6422-2-2-2-222-22200002-22-2-2-2-222-22002-200000000-222-2000000000000-2-22222-2-200-220000002-20000000000002-2-22000000000000000000
χ652-22-22i−2i2i−2i0022-22i−2i00-22-22i−2i2i−2i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132−22−2−i2i2−i2i200000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000002−2−i2i20000000000
χ662-22-22i−2i2i−2i0022-22i−2i00-22-22i−2i2i−2i0000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−22−22i2−i2i2−i200000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00000000−22i2−i20000000000
χ672-22-22i−2i2i−2i0022-22i−2i00-22-22i−2i2i−2i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−22−22i2−i2i2−i20000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000−22i2−i20000000000
χ682-22-22i−2i2i−2i0022-22i−2i00-22-22i−2i2i−2i000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132−22−2−i2i2−i2i20000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000002−2−i2i20000000000
χ692-22-22i−2i2i−2i002-22−2i2i00-22-22i−2i2i−2i0000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132−22−2−i2i2−i2i200000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i00000000−22i2−i20000000000
χ702-22-22i−2i2i−2i002-22−2i2i00-22-22i−2i2i−2i0000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−22−22i2−i2i2−i200000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i000000002−2−i2i20000000000
χ712-22-22i−2i2i−2i002-22−2i2i00-22-22i−2i2i−2i000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−22−22i2−i2i2−i20000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i000000002−2−i2i20000000000
χ722-22-22i−2i2i−2i002-22−2i2i00-22-22i−2i2i−2i000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132−22−2−i2i2−i2i20000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i00000000−22i2−i20000000000
χ732-22-2−2i2i−2i2i0022-2−2i2i00-22-2−2i2i−2i2i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232−22−2i2−i2i2−i200000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000002−2i2−i20000000000
χ742-22-2−2i2i−2i2i0022-2−2i2i00-22-2−2i2i−2i2i0000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−22−22−i2i2−i2i200000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00000000−22−i2i20000000000
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χ762-22-2−2i2i−2i2i0022-2−2i2i00-22-2−2i2i−2i2i000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232−22−2i2−i2i2−i20000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000002−2i2−i20000000000
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χ782-22-2−2i2i−2i2i002-222i−2i00-22-2−2i2i−2i2i0000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−22−22−i2i2−i2i200000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i000000002−2i2−i20000000000
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χ802-22-2−2i2i−2i2i002-222i−2i00-22-2−2i2i−2i2i000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232−22−2i2−i2i2−i20000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i00000000−22−i2i20000000000
χ8144444444-4-4-24444-4-4-2-2-2-2-2-2-200-4-400000000002222-2-2-2-200000000000000000000000022000000000000000000000000000000000000
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χ974-44-44i−4i4i−4i00-2-44−4i4i002-22−2i2i−2i2i0000002+2i−2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i00002-22i−2i00000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000000000000000000000
χ984-44-44i−4i4i−4i00-2-44−4i4i002-22−2i2i−2i2i000000−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i00002-22i−2i000000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000000000000000000000
χ994-44-4−4i4i−4i4i00-24-4−4i4i002-222i−2i2i−2i0000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i0000-222i−2i00000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000000000000000
χ1004-44-4−4i4i−4i4i00-24-4−4i4i002-222i−2i2i−2i000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i0000-222i−2i000000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000000000000000
χ1014-44-4−4i4i−4i4i00-2-444i−4i002-222i−2i2i−2i0000002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i00002-2−2i2i00000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000000000000000000000
χ1024-44-4−4i4i−4i4i00-2-444i−4i002-222i−2i2i−2i000000−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i00002-2−2i2i000000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000000000000000000000
χ1034-4-444i−4i−4i4i004000000-4-444i−4i−4i4i00000000000000000000000000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ1044-4-444i−4i−4i4i004000000-4-444i−4i−4i4i000000000000000000000000000000−222222−222i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ1054-4-44−4i4i4i−4i004000000-4-44−4i4i4i−4i00000000000000000000000000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ1064-4-44−4i4i4i−4i004000000-4-44−4i4i4i−4i000000000000000000000000000000−222222−22−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ1078-8-888i−8i−8i8i00-400000044-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88−8i8i8i−8i00-400000044-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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