Finite Group Databasebeta

← Group #10690169

Character table — Group #10690169

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888888888888888824242424242424242424242424242424
order12224444223446661212121222444444666666121212121212244444444466121212121212121212121212121212121212121212124444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-1111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-11ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ141111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-11ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ151111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-11−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-11−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ1722222222222222222222-2-2-2-2222222-2-2-2-2-2-2-2-222-2-200000000-2-22222-2-200000000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222220000000022-2-2-2-22200000000000000000000000000000000
χ192222222222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000
χ212222222222-122-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000
χ222222222222-122-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000
χ232222222222-122-1-1-1-1-1-1-1-2-2-2-22222-1-111111111-1-1-2-20000000011-1-1-1-11133−3−333−3−333−3−333−3−30000000000000000
χ242222222222-122-1-1-1-1-1-1-1-2-2-2-22222-1-111111111-1-1-2-20000000011-1-1-1-111−3−333−3−333−3−333−3−3330000000000000000
χ252222222222-122-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111-1-12200000000-1-11111-1-133−3−333−3−3−3−333−3−3330000000000000000
χ262222222222-122-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111-1-12200000000-1-11111-1-1−3−333−3−33333−3−333−3−30000000000000000
χ2722222222-2-22-2-222222222-22-20000-2-222-2-222-2-2-2-20000000000000000000000000000000000000000002-22-20000
χ2822222222-2-22-2-222222222-22-20000-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000-22-220000
χ2922222222-2-22-2-22222222-22-220000-2-2-2-222-2-222-2-200000000000000000000000000000000000000000000002-22-2
χ3022222222-2-22-2-22222222-22-220000-2-2-2-222-2-222-2-20000000000000000000000000000000000000000000000-22-22
χ312222-2-2-2-2222-2-2222-2-2-2-222-2-222-2-2222222-2-2-2-2-2-2-2200000000-2-222-2-22200000000000000000000000000000000
χ322222-2-2-2-2222-2-2222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-22-20000000022-2-222-2-200000000000000000000000000000000
χ332222-2-2-2-222-1-2-2-1-1-1111122-2-222-2-2-1-1-1-1-1-1111111-220000000011-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ342222-2-2-2-222-1-2-2-1-1-1111122-2-222-2-2-1-1-1-1-1-1111111-220000000011-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ352222-2-2-2-222-1-2-2-1-1-1111122-2-2-2-222-1-1-1-1-1-11111112-200000000-1-111-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ362222-2-2-2-222-1-2-2-1-1-1111122-2-2-2-222-1-1-1-1-1-11111112-200000000-1-111-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ372222-2-2-2-222-1-2-2-1-1-11111-2-22222-2-2-1-11111-1-1-1-1112-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ382222-2-2-2-222-1-2-2-1-1-11111-2-22222-2-2-1-11111-1-1-1-1112-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ392222-2-2-2-222-1-2-2-1-1-11111-2-222-2-222-1-11111-1-1-1-111-222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ402222-2-2-2-222-1-2-2-1-1-11111-2-222-2-222-1-11111-1-1-1-111-22−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ412222-2-2-2-2-2-2222222-2-2-2-22-2-220000-2-222-2-2-2-2222200000000000000000000000000000000000000000000002i−2i−2i2i
χ422222-2-2-2-2-2-2222222-2-2-2-22-2-220000-2-222-2-2-2-222220000000000000000000000000000000000000000000000−2i2i2i−2i
χ432222-2-2-2-2-2-2222222-2-2-2-2-222-20000-2-2-2-22222-2-2220000000000000000000000000000000000000000002i−2i−2i2i0000
χ442222-2-2-2-2-2-2222222-2-2-2-2-222-20000-2-2-2-22222-2-222000000000000000000000000000000000000000000−2i2i2i−2i0000
χ452-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i00002i−2i2-22-2000000002i−2i001+i−1−i1−i−1+i1−i−1+i1+i−1−i002i−2i2-2001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ462-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i00002i−2i2-22-2000000002i−2i00−1−i1+i−1+i1−i−1+i1−i−1−i1+i002i−2i2-200−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ472-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i0000−2i2i-222-2000000002i−2i001+i−1−i1−i−1+i−1+i1−i−1−i1+i00−2i2i-22001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ482-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i0000−2i2i-222-2000000002i−2i00−1−i1+i−1+i1−i1−i−1+i1+i−1−i00−2i2i-2200−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ492-22-22i2i−2i−2i2-2-12i−2i-111−i−iii00002i−2i2-2-11−i3i3−i3i33−33−3−ii001+i−1−i1−i−1+i1−i−1+i1+i−1−i−i3i3−ii-113−3−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000000000000000
χ502-22-22i2i−2i−2i2-2-12i−2i-111−i−iii00002i−2i2-2-11−i3i3−i3i33−33−3−ii00−1−i1+i−1+i1−i−1+i1−i−1−i1+i−i3i3−ii-113−3ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000000000000000
χ512-22-22i2i−2i−2i2-2-12i−2i-111−i−iii00002i−2i2-2-11i3−i3i3−i3−33−33−ii001+i−1−i1−i−1+i1−i−1+i1+i−1−ii3−i3−ii-11−33−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000000000000000
χ522-22-22i2i−2i−2i2-2-12i−2i-111−i−iii00002i−2i2-2-11i3−i3i3−i3−33−33−ii00−1−i1+i−1+i1−i−1+i1−i−1−i1+ii3−i3−ii-11−33ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000000000000000
χ532-22-22i2i−2i−2i2-2-12i−2i-111−i−iii0000−2i2i-22-11−i3i3−i3i33−33−3−ii001+i−1−i1−i−1+i−1+i1−i−1−i1+ii3−i3i−i1-1−33−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000000000000000
χ542-22-22i2i−2i−2i2-2-12i−2i-111−i−iii0000−2i2i-22-11−i3i3−i3i33−33−3−ii00−1−i1+i−1+i1−i1−i−1+i1+i−1−ii3−i3i−i1-1−33ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000000000000000
χ552-22-22i2i−2i−2i2-2-12i−2i-111−i−iii0000−2i2i-22-11i3−i3i3−i3−33−33−ii001+i−1−i1−i−1+i−1+i1−i−1−i1+i−i3i3i−i1-13−3−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000000000000000
χ562-22-22i2i−2i−2i2-2-12i−2i-111−i−iii0000−2i2i-22-11i3−i3i3−i3−33−33−ii00−1−i1+i−1+i1−i1−i−1+i1+i−1−i−i3i3i−i1-13−3ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000000000000000
χ572-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i00002i−2i-222-200000000−2i2i001−i−1+i1+i−1−i−1−i1+i−1+i1−i002i−2i-22001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ582-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i00002i−2i-222-200000000−2i2i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i002i−2i-2200−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ592-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i0000−2i2i2-22-200000000−2i2i001−i−1+i1+i−1−i1+i−1−i1−i−1+i00−2i2i2-2001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ602-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i0000−2i2i2-22-200000000−2i2i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i00−2i2i2-200−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ612-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i00002i−2i-22-11−i3i3−i3i3−33−33i−i001−i−1+i1+i−1−i−1−i1+i−1+i1−ii3−i3−ii1-13−3−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000000000000000
χ622-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i00002i−2i-22-11−i3i3−i3i3−33−33i−i00−1+i1−i−1−i1+i1+i−1−i1−i−1+ii3−i3−ii1-13−3ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000000000000
χ632-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i00002i−2i-22-11i3−i3i3−i33−33−3i−i001−i−1+i1+i−1−i−1−i1+i−1+i1−i−i3i3−ii1-1−33−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000000000000000
χ642-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i00002i−2i-22-11i3−i3i3−i33−33−3i−i00−1+i1−i−1−i1+i1+i−1−i1−i−1+i−i3i3−ii1-1−33ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000000000000
χ652-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i0000−2i2i2-2-11−i3i3−i3i3−33−33i−i001−i−1+i1+i−1−i1+i−1−i1−i−1+i−i3i3i−i-11−33−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000000000000
χ662-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i0000−2i2i2-2-11−i3i3−i3i3−33−33i−i00−1+i1−i−1−i1+i−1−i1+i−1+i1−i−i3i3i−i-11−33ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000000000000000
χ672-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i0000−2i2i2-2-11i3−i3i3−i33−33−3i−i001−i−1+i1+i−1−i1+i−1−i1−i−1+ii3−i3i−i-113−3−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000000000000
χ682-22-2−2i−2i2i2i2-2-1−2i2i-111ii−i−i0000−2i2i2-2-11i3−i3i3−i33−33−3i−i00−1+i1−i−1−i1+i−1−i1+i−1+i1−ii3−i3i−i-113−3ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000000000000000
χ6944444444-4-4-2-4-4-2-2-2-2-2-2-24-44-4000022-2-222-2-2222200000000000000000000000000000000000000000000000000
χ7044444444-4-4-2-4-4-2-2-2-2-2-2-2-44-4400002222-2-222-2-22200000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-4-4-244-2-2-222224-4-44000022-2-22222-2-2-2-200000000000000000000000000000000000000000000000000
χ724444-4-4-4-4-4-4-244-2-2-22222-444-400002222-2-2-2-222-2-200000000000000000000000000000000000000000000000000
χ7344-4-44-44-400400-4-444-44-40000000000000000000000000000000000000000000000000000002i−2i2i−2i000000000000
χ7444-4-44-44-400400-4-444-44-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000
χ7544-4-4-44-4400400-4-44-44-440000000000000000000000000000000000000000000000000000002i−2i−2i2i000000000000
χ7644-4-4-44-4400400-4-44-44-44000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ774-44-44i4i−4i−4i-444−4i4i4-4-44i4i−4i−4i00000000-4400000000−4i4i00000000000000000000000000000000000000000000000000
χ784-44-44i4i−4i−4i-44-2−4i4i-222−2i−2i2i2i000000002-2−2i32i32i3−2i323−23−23232i−2i00000000000000000000000000000000000000000000000000
χ794-44-44i4i−4i−4i-44-2−4i4i-222−2i−2i2i2i000000002-22i3−2i3−2i32i3−232323−232i−2i00000000000000000000000000000000000000000000000000
χ804-44-4−4i−4i4i4i-4444i−4i4-4-4−4i−4i4i4i00000000-44000000004i−4i00000000000000000000000000000000000000000000000000
χ814-44-4−4i−4i4i4i-44-24i−4i-2222i2i−2i−2i000000002-2−2i32i32i3−2i3−232323−23−2i2i00000000000000000000000000000000000000000000000000
χ824-44-4−4i−4i4i4i-44-24i−4i-2222i2i−2i−2i000000002-22i3−2i3−2i32i323−23−2323−2i2i00000000000000000000000000000000000000000000000000
χ834-4-444i−4i−4i4i00400-44-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000002i−2i2-200000000
χ844-4-444i−4i−4i4i00400-44-44i−4i−4i4i0000000000000000000000000000000000000000000000000000000000−2i2i-2200000000
χ854-4-44−4i4i4i−4i00400-44-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000002i−2i-2200000000
χ864-4-44−4i4i4i−4i00400-44-4−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000−2i2i2-200000000
χ8788-8-88-88-800-40044-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-88-8800-40044-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-888i−8i−8i8i00-4004-44−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ908-8-88−8i8i8i−8i00-4004-444i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.