Finite Group Databasebeta

← Group #13167504

Character table — Group #13167504

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991818181818181818181818181818181818181818181818181818181818181818181836363636363636367272727272727272
order1222344666121212123366666633666666121212121212121212121212444444888888881212121212121212242424242424242424242424242424242244444466121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ611111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ711111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1
χ811111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111
χ91-11-11i−i-11-1ii−i−i11-11-11-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iii−i−i1-1ii−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−ii−i1-11-1i−i1-1i−i
χ101-11-11i−i-11-1ii−i−i11-11-11-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iii−i−i1-1ii−i−i11-1-1ii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii−ii-11-11−ii-11−ii
χ111-11-11i−i-11-1ii−i−i11-11-11-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iii−i−i1-1−i−iii-1-111ii−i−i11-1-1−i−i−i−iiiii-1-1-1-111111-1−iii−i-111-1i−i-11−ii
χ121-11-11i−i-11-1ii−i−i11-11-11-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iii−i−i1-1−i−iii-1-111ii−i−i11-1-1−i−i−i−iiiii-1-1-1-11111-11i−i−ii1-1-11−ii1-1i−i
χ131-11-11−ii-11-1−i−iii11-11-11-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−iii1-1ii−i−i-1-111−i−iii11-1-1iiii−i−i−i−i-1-1-1-111111-1i−i−ii-111-1−ii-11i−i
χ141-11-11−ii-11-1−i−iii11-11-11-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−iii1-1ii−i−i-1-111−i−iii11-1-1iiii−i−i−i−i-1-1-1-11111-11−iii−i1-1-11i−i1-1−ii
χ151-11-11−ii-11-1−i−iii11-11-11-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−iii1-1−i−iii11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii−ii1-11-1−ii1-1−ii
χ161-11-11−ii-11-1−i−iii11-11-11-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−iii1-1−i−iii11-1-1−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−ii−i-11-11i−i-11i−i
χ17222222222222222222222222222222222222222222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222-2-2222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000000002222-2-2-2-200000000000000000000000000000000
χ192222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ212222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111111133−3−333−3−333−3−333−3−30000000000000000
χ222222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-20000000011111111−3−333−3−333−3−333−3−3330000000000000000
χ232222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-200000000-1-1-1-1111133−3−333−3−3−3−333−3−3330000000000000000
χ242222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-200000000-1-1-1-11111−3−333−3−33333−3−333−3−30000000000000000
χ252222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222222-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000
χ262222-1-2-2-1-1-1111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-222-2-2-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000
χ2722-2-22002-2-2000022-2-22-2-2222-2-2-2-2220000000000002i−2i2i−2i002−22−2−i2i2−i2i22i−2i2i−2i00002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ2822-2-22002-2-2000022-2-22-2-2222-2-2-2-2220000000000002i−2i2i−2i00−22−22i2−i2i2−i22i−2i2i−2i0000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ2922-2-22002-2-2000022-2-22-2-2222-2-2-2-222000000000000−2i2i−2i2i002−22−2i2−i2i2−i2−2i2i−2i2i00002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ3022-2-22002-2-2000022-2-22-2-2222-2-2-2-222000000000000−2i2i−2i2i00−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ3122-2-2-100-111−i3i3−i3i322-2-22-2-22-1-11111-1-10000−i3−i3i3i3−i3−i3i3i32i−2i2i−2i002−22−2−i2i2−i2i2−ii−ii3−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ3222-2-2-100-111−i3i3−i3i322-2-22-2-22-1-11111-1-10000−i3−i3i3i3−i3−i3i3i32i−2i2i−2i00−22−22i2−i2i2−i2−ii−ii3−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ3322-2-2-100-111−i3i3−i3i322-2-22-2-22-1-11111-1-10000−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i002−22−2i2−i2i2−i2i−ii−i−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ3422-2-2-100-111−i3i3−i3i322-2-22-2-22-1-11111-1-10000−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i00−22−22−i2i2−i2i2i−ii−i−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ3522-2-2-100-111i3−i3i3−i322-2-22-2-22-1-11111-1-10000i3i3−i3−i3i3i3−i3−i32i−2i2i−2i002−22−2−i2i2−i2i2−ii−ii−33−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ3622-2-2-100-111i3−i3i3−i322-2-22-2-22-1-11111-1-10000i3i3−i3−i3i3i3−i3−i32i−2i2i−2i00−22−22i2−i2i2−i2−ii−ii−33−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ3722-2-2-100-111i3−i3i3−i322-2-22-2-22-1-11111-1-10000i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i002−22−2i2−i2i2−i2i−ii−i3−33−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ3822-2-2-100-111i3−i3i3−i322-2-22-2-22-1-11111-1-10000i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i00−22−22−i2i2−i2i2i−ii−i3−33−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ392-22-222i−2i-22-22i2i−2i−2i22-22-22-2-22222-2-2-2-22i−2i2i−2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-2200000000−2i−2i2i2i-2-22200000000000000000000000000000000
χ402-22-22−2i2i-22-2−2i−2i2i2i22-22-22-2-22222-2-2-2-2−2i2i−2i2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-22000000002i2i−2i−2i-2-22200000000000000000000000000000000
χ412-22-2-12i−2i1-11−i−iii22-22-22-2-2-1-1-1-111112i−2i2i−2i−i−i−i−iiiii2i2i−2i−2i2-22i2i−2i−2i22-2-2−i−iii-1-111−i−i−i−iiiii-1-1-1-111110000000000000000
χ422-22-2-12i−2i1-11−i−iii22-22-22-2-2-1-1-1-111112i−2i2i−2i−i−i−i−iiiii2i2i−2i−2i2-2−2i−2i2i2i-2-222−i−iii-1-111iiii−i−i−i−i1111-1-1-1-10000000000000000
χ432-22-2-12i−2i1-11−i−iii22-22-22-2-2-1-1-1-111112i−2i2i−2i−i−i−i−iiiii−2i−2i2i2i-2200000000ii−i−i11-1-1−i3−i3i3i3i3i3−i3−i3−3−33333−3−30000000000000000
χ442-22-2-12i−2i1-11−i−iii22-22-22-2-2-1-1-1-111112i−2i2i−2i−i−i−i−iiiii−2i−2i2i2i-2200000000ii−i−i11-1-1i3i3−i3−i3−i3−i3i3i333−3−3−3−3330000000000000000
χ452-22-2-1−2i2i1-11ii−i−i22-22-22-2-2-1-1-1-11111−2i2i−2i2iiiii−i−i−i−i2i2i−2i−2i-2200000000−i−iii11-1-1−i3−i3i3i3i3i3−i3−i333−3−3−3−3330000000000000000
χ462-22-2-1−2i2i1-11ii−i−i22-22-22-2-2-1-1-1-11111−2i2i−2i2iiiii−i−i−i−i2i2i−2i−2i-2200000000−i−iii11-1-1i3i3−i3−i3−i3−i3i3i3−3−33333−3−30000000000000000
χ472-22-2-1−2i2i1-11ii−i−i22-22-22-2-2-1-1-1-11111−2i2i−2i2iiiii−i−i−i−i−2i−2i2i2i2-22i2i−2i−2i-2-222ii−i−i-1-111−i−i−i−iiiii1111-1-1-1-10000000000000000
χ482-22-2-1−2i2i1-11ii−i−i22-22-22-2-2-1-1-1-11111−2i2i−2i2iiiii−i−i−i−i−2i−2i2i2i2-2−2i−2i2i2i22-2-2ii−i−i-1-111iiii−i−i−i−i-1-1-1-111110000000000000000
χ492-2-22200-2-220000222-2-2-22-222-2-222-2-20000000000002-2-2200−i2i2i2−i2−i2i2i2−i22-2-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ502-2-22200-2-220000222-2-2-22-222-2-222-2-20000000000002-2-2200i2−i2−i2i2i2−i2−i2i22-2-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ512-2-22200-2-220000222-2-2-22-222-2-222-2-2000000000000-222-200−i2i2i2−i2i2−i2−i2i2-222-20000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ522-2-22200-2-220000222-2-2-22-222-2-222-2-2000000000000-222-200i2−i2−i2i2−i2i2i2−i2-222-20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ532-2-22-10011-13−3−33222-2-2-22-2-1-111-1-111000033−3−3−3−3332-2-2200−i2i2i2−i2−i2i2i2−i2-111-1−333−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ542-2-22-10011-13−3−33222-2-2-22-2-1-111-1-111000033−3−3−3−3332-2-2200i2−i2−i2i2i2−i2−i2i2-111-1−333−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ552-2-22-10011-13−3−33222-2-2-22-2-1-111-1-111000033−3−3−3−333-222-200−i2i2i2−i2i2−i2−i2i21-1-113−3−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ562-2-22-10011-13−3−33222-2-2-22-2-1-111-1-111000033−3−3−3−333-222-200i2−i2−i2i2−i2i2i2−i21-1-113−3−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ572-2-22-10011-1−333−3222-2-2-22-2-1-111-1-1110000−3−33333−3−32-2-2200−i2i2i2−i2−i2i2i2−i2-111-13−3−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000000000
χ582-2-22-10011-1−333−3222-2-2-22-2-1-111-1-1110000−3−33333−3−32-2-2200i2−i2−i2i2i2−i2−i2i2-111-13−3−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000000000
χ592-2-22-10011-1−333−3222-2-2-22-2-1-111-1-1110000−3−33333−3−3-222-200−i2i2i2−i2i2−i2−i2i21-1-11−333−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000000000
χ602-2-22-10011-1−333−3222-2-2-22-2-1-111-1-1110000−3−33333−3−3-222-200i2−i2−i2i2−i2i2i2−i21-1-11−333−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000000000
χ61444444444444441-21-2-21-211-21-21-21-2-2-2111-21-21-21-200000000000000000000000000000000000000002200220000-1-1-1-1
χ62444444444444441-21-2-21-211-21-21-21-2-2-2111-21-21-21-20000000000000000000000000000000000000000-2-200-2-200001111
χ6344444444444444-21-211-21-2-21-21-21-2111-2-2-21-21-21-210000000000000000000000000000000000000022002200-1-1-1-10000
χ6444444444444444-21-211-21-2-21-21-21-2111-2-2-21-21-21-2100000000000000000000000000000000000000-2-200-2-20011110000
χ6544444-4-4444-4-4-4-41-21-2-21-211-21-21-21-222-1-1-12-12-12-1200000000000000000000000000000000000000002200-2-2000011-1-1
χ6644444-4-4444-4-4-4-41-21-2-21-211-21-21-21-222-1-1-12-12-12-120000000000000000000000000000000000000000-2-200220000-1-111
χ6744444-4-4444-4-4-4-4-21-211-21-2-21-21-21-21-1-1222-12-12-12-1000000000000000000000000000000000000002200-2-200-1-1110000
χ6844444-4-4444-4-4-4-4-21-211-21-2-21-21-21-21-1-1222-12-12-12-100000000000000000000000000000000000000-2-200220011-1-10000
χ694-44-444i−4i-44-44i4i−4i−4i1-2-1-2212-11-21-2-12-12−2i2ii−ii−2ii−2i−i2i−i2i00000000000000000000000000000000000000002i−2i002-20000-11−ii
χ704-44-444i−4i-44-44i4i−4i−4i1-2-1-2212-11-21-2-12-12−2i2ii−ii−2ii−2i−i2i−i2i0000000000000000000000000000000000000000−2i2i00-2200001-1i−i
χ714-44-444i−4i-44-44i4i−4i−4i-2121-1-2-12-21-212-12-1i−i−2i2i−2ii−2ii2i−i2i−i000000000000000000000000000000000000002-2002i−2i00-11−ii0000
χ724-44-444i−4i-44-44i4i−4i−4i-2121-1-2-12-21-212-12-1i−i−2i2i−2ii−2ii2i−i2i−i00000000000000000000000000000000000000-2200−2i2i001-1i−i0000
χ734-44-44−4i4i-44-4−4i−4i4i4i1-2-1-2212-11-21-2-12-122i−2i−ii−i2i−i2ii−2ii−2i00000000000000000000000000000000000000002i−2i00-2200001-1−ii
χ744-44-44−4i4i-44-4−4i−4i4i4i1-2-1-2212-11-21-2-12-122i−2i−ii−i2i−i2ii−2ii−2i0000000000000000000000000000000000000000−2i2i002-20000-11i−i
χ754-44-44−4i4i-44-4−4i−4i4i4i-2121-1-2-12-21-212-12-1−ii2i−2i2i−i2i−i−2ii−2ii000000000000000000000000000000000000002-200−2i2i00-11i−i0000
χ764-44-44−4i4i-44-4−4i−4i4i4i-2121-1-2-12-21-212-12-1−ii2i−2i2i−i2i−i−2ii−2ii00000000000000000000000000000000000000-22002i−2i001-1−ii0000
χ778888-488-4-4-4-4-4-4-42-42-4-42-42-12-12-12-12-4-422-12-12-12-12000000000000000000000000000000000000000000000000000000
χ788888-488-4-4-4-4-4-4-4-42-422-42-42-12-12-12-122-4-42-12-12-12-1000000000000000000000000000000000000000000000000000000
χ798888-4-8-8-4-4-444442-42-4-42-42-12-12-12-1244-2-21-21-21-21-2000000000000000000000000000000000000000000000000000000
χ808888-4-8-8-4-4-44444-42-422-42-42-12-12-12-1-2-244-21-21-21-21000000000000000000000000000000000000000000000000000000
χ8188-8-88008-8-800002-4-24-4-2422-4-24-242-4000000000000000000000000000000000000000000000000000000000000000000
χ8288-8-88008-8-80000-424-224-2-4-424-24-2-42000000000000000000000000000000000000000000000000000000000000000000
χ8388-8-8-400-444−4i34i3−4i34i32-4-24-4-242-121-21-2-120000−i32i3i3−2i3−i32i3i3−2i3000000000000000000000000000000000000000000000000000000
χ8488-8-8-400-444−4i34i3−4i34i3-424-224-2-42-1-21-212-100002i3−i3−2i3i32i3−i3−2i3i3000000000000000000000000000000000000000000000000000000
χ8588-8-8-400-4444i3−4i34i3−4i32-4-24-4-242-121-21-2-120000i3−2i3−i32i3i3−2i3−i32i3000000000000000000000000000000000000000000000000000000
χ8688-8-8-400-4444i3−4i34i3−4i3-424-224-2-42-1-21-212-10000−2i3i32i3−i3−2i3i32i3−i3000000000000000000000000000000000000000000000000000000
χ878-88-8-48i−8i4-44−4i−4i4i4i2-4-2-4424-2-12-121-21-2−4i4i2i−2i−i2i−i2ii−2ii−2i000000000000000000000000000000000000000000000000000000
χ888-88-8-48i−8i4-44−4i−4i4i4i-4242-2-4-242-12-1-21-212i−2i−4i4i2i−i2i−i−2ii−2ii000000000000000000000000000000000000000000000000000000
χ898-88-8-4−8i8i4-444i4i−4i−4i2-4-2-4424-2-12-121-21-24i−4i−2i2ii−2ii−2i−i2i−i2i000000000000000000000000000000000000000000000000000000
χ908-88-8-4−8i8i4-444i4i−4i−4i-4242-2-4-242-12-1-21-21−2i2i4i−4i−2ii−2ii2i−i2i−i000000000000000000000000000000000000000000000000000000
χ918-8-88800-8-8800002-4244-2-4-22-4-242-4-24000000000000000000000000000000000000000000000000000000000000000000
χ928-8-88800-8-880000-42-4-2-2424-424-2-424-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88-40044-443−43−43432-4244-2-4-2-121-2-121-200003−23−323−3233−23000000000000000000000000000000000000000000000000000000
χ948-8-88-40044-443−43−4343-42-4-2-24242-1-212-1-210000−23323−323−3−233000000000000000000000000000000000000000000000000000000
χ958-8-88-40044-4−434343−432-4244-2-4-2-121-2-121-20000−3233−233−23−323000000000000000000000000000000000000000000000000000000
χ968-8-88-40044-4−434343−43-42-4-2-24242-1-212-1-21000023−3−233−23323−3000000000000000000000000000000000000000000000000000000

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