Finite Group Databasebeta

← Group #10705559

Character table — Group #10705559

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111111122222222222244444444444444444444888888888888888888888888888888888824242424242424242424242424242424
order1222444422344666121212122244444466121212121212121212122466668888888812121212242424242424242424242424242424244444444488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i
χ91111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-111ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-111ii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-111−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ121111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-11-1-111−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ131111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ172222222222222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-22200000000-2-22200000000000000000000000000000000
χ1822222222222222222222-2-22222-2-2222222222222-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000
χ192222222222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ202222222222-122-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111111111110000000000000000
χ212222222222-122-1-1-1-1-1-1-122-2-2-2-222-1-11111-1-11111-2-211-1-10000000011-1-133−3−333−3−333−3−333−3−30000000000000000
χ222222222222-122-1-1-1-1-1-1-122-2-2-2-222-1-11111-1-11111-2-211-1-10000000011-1-1−3−333−3−333−3−333−3−3330000000000000000
χ232222222222-122-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000001111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ242222222222-122-1-1-1-1-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-21111000000001111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ252222222222-122-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-1111122-1-1112i2i2i2i−2i−2i−2i−2i-1-111−i−i−i−i−i−i−i−iiiiiiiii0000000000000000
χ262222222222-122-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-11111-1-1111122-1-111−2i−2i−2i−2i2i2i2i2i-1-111iiiiiiii−i−i−i−i−i−i−i−i0000000000000000
χ272222-2-2-2-2222-2-2222-2-2-2-222-2-222-2-222-2-2-2-2-2-222222-2222200000000-2-2-2-200000000000000000000000000000000
χ282222-2-2-2-2222-2-2222-2-2-2-2-2-222-2-222222222-2-2-2-2-2-22-222-2-200000000-2-22200000000000000000000000000000000
χ292222-2-2-2-222-1-2-2-1-1-111112222-2-2-2-2-1-1-1-1-1-1111111-2211-1-12i2i−2i−2i2i2i−2i−2i-1-111−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ302222-2-2-2-222-1-2-2-1-1-111112222-2-2-2-2-1-1-1-1-1-1111111-2211-1-1−2i−2i2i2i−2i−2i2i2i-1-111iiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ312222-2-2-2-222-1-2-2-1-1-1111122-2-222-2-2-1-1111111-1-1-1-12-2-1-1-1-1000000001111−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ322222-2-2-2-222-1-2-2-1-1-1111122-2-222-2-2-1-1111111-1-1-1-12-2-1-1-1-1000000001111i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ332222-2-2-2-222-1-2-2-1-1-11111-2-222-2-222-1-1-1-1-1-11111112-2-1-1110000000011-1-133−3−3−3−333−3−33333−3−30000000000000000
χ342222-2-2-2-222-1-2-2-1-1-11111-2-222-2-222-1-1-1-1-1-11111112-2-1-1110000000011-1-1−3−33333−3−333−3−3−3−3330000000000000000
χ352222-2-2-2-222-1-2-2-1-1-11111-2-2-2-22222-1-1111111-1-1-1-1-22111122-2-2-2-222-1-1-1-1-1-1-1-111111111-1-1-1-10000000000000000
χ362222-2-2-2-222-1-2-2-1-1-11111-2-2-2-22222-1-1111111-1-1-1-1-221111-2-22222-2-2-1-1-1-11111-1-1-1-1-1-1-1-111110000000000000000
χ372-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i002i−2i2-2002-22i2i−2i−2i2i−2i22-2-20000000000000000000000000000000000000000002−2−i2i2−i2i22−2
χ382-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i002i−2i2-2002-22i2i−2i−2i2i−2i22-2-2000000000000000000000000000000000000000000−22i2−i2i2−i2−22
χ392-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i00−2i2i-22002-2−2i−2i2i2i2i−2i-2-222000000000000000000000000000000000000000000−i2i2−222−2i2−i2
χ402-22-22i2i−2i−2i2-222i−2i2-2-22i2i−2i−2i00−2i2i-22002-2−2i−2i2i2i2i−2i-2-222000000000000000000000000000000000000000000i2−i22−2−22−i2i2
χ412-22-22i2i−2i−2i-222−2i2i2-2-22i2i−2i−2i2-200002i−2i-220000−2i2i000000002-21+i−1−i1−i−1+i1+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ422-22-22i2i−2i−2i-222−2i2i2-2-22i2i−2i−2i2-200002i−2i-220000−2i2i000000002-2−1−i1+i−1+i1−i−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ432-22-22i2i−2i−2i-222−2i2i2-2-22i2i−2i−2i-220000−2i2i-220000−2i2i00000000-221−i−1+i−1−i1+i−1+i1−i1+i−1−i00−2i2i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i0000000000000000
χ442-22-22i2i−2i−2i-222−2i2i2-2-22i2i−2i−2i-220000−2i2i-220000−2i2i00000000-22−1+i1−i1+i−1−i1−i−1+i−1−i1+i00−2i2i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i0000000000000000
χ452-22-22i2i−2i−2i-22-1−2i2i-111−i−iii2-200002i−2i1-13−33−3i−i−i3i3−i3i300−i3i3-111+i−1−i1−i−1+i1+i−1−i1−i−1+i3−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140000000000000000
χ462-22-22i2i−2i−2i-22-1−2i2i-111−i−iii2-200002i−2i1-13−33−3i−i−i3i3−i3i300−i3i3-11−1−i1+i−1+i1−i−1−i1+i−1+i1−i3−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ140000000000000000
χ472-22-22i2i−2i−2i-22-1−2i2i-111−i−iii2-200002i−2i1-1−33−33i−ii3−i3i3−i300i3−i3-111+i−1−i1−i−1+i1+i−1−i1−i−1+i−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ220000000000000000
χ482-22-22i2i−2i−2i-22-1−2i2i-111−i−iii2-200002i−2i1-1−33−33i−ii3−i3i3−i300i3−i3-11−1−i1+i−1+i1−i−1−i1+i−1+i1−i−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ220000000000000000
χ492-22-22i2i−2i−2i-22-1−2i2i-111−i−iii-220000−2i2i1-13−33−3i−i−i3i3−i3i300i3−i31-11−i−1+i−1−i1+i−1+i1−i1+i−1−i−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ140000000000000000
χ502-22-22i2i−2i−2i-22-1−2i2i-111−i−iii-220000−2i2i1-13−33−3i−i−i3i3−i3i300i3−i31-1−1+i1−i1+i−1−i1−i−1+i−1−i1+i−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ140000000000000000
χ512-22-22i2i−2i−2i-22-1−2i2i-111−i−iii-220000−2i2i1-1−33−33i−ii3−i3i3−i300−i3i31-11−i−1+i−1−i1+i−1+i1−i1+i−1−i3−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ220000000000000000
χ522-22-22i2i−2i−2i-22-1−2i2i-111−i−iii-220000−2i2i1-1−33−33i−ii3−i3i3−i300−i3i31-1−1+i1−i1+i−1−i1−i−1+i−1−i1+i3−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ220000000000000000
χ532-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i002i−2i-22002-22i2i−2i−2i−2i2i-2-222000000000000000000000000000000000000000000−i2i22−2−22i2−i2
χ542-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i002i−2i-22002-22i2i−2i−2i−2i2i-2-222000000000000000000000000000000000000000000i2−i2−222−2−i2i2
χ552-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i00−2i2i2-2002-2−2i−2i2i2i−2i2i22-2-20000000000000000000000000000000000000000002−2i2−i2i2−i22−2
χ562-22-2−2i−2i2i2i2-22−2i2i2-2-2−2i−2i2i2i00−2i2i2-2002-2−2i−2i2i2i−2i2i22-2-2000000000000000000000000000000000000000000−22−i2i2−i2i2−22
χ572-22-2−2i−2i2i2i-2222i−2i2-2-2−2i−2i2i2i2-20000−2i2i-2200002i−2i000000002-21−i−1+i1+i−1−i1−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000000000
χ582-22-2−2i−2i2i2i-2222i−2i2-2-2−2i−2i2i2i2-20000−2i2i-2200002i−2i000000002-2−1+i1−i−1−i1+i−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000000000
χ592-22-2−2i−2i2i2i-2222i−2i2-2-2−2i−2i2i2i-2200002i−2i-2200002i−2i00000000-221+i−1−i−1+i1−i−1−i1+i1−i−1+i002i−2i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i0000000000000000
χ602-22-2−2i−2i2i2i-2222i−2i2-2-2−2i−2i2i2i-2200002i−2i-2200002i−2i00000000-22−1−i1+i1−i−1+i1+i−1−i−1+i1−i002i−2i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i0000000000000000
χ612-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i2-20000−2i2i1-13−33−3−iii3−i3i3−i300i3−i3-111−i−1+i1+i−1−i1−i−1+i1+i−1−i3−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ220000000000000000
χ622-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i2-20000−2i2i1-13−33−3−iii3−i3i3−i300i3−i3-11−1+i1−i−1−i1+i−1+i1−i−1−i1+i3−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ220000000000000000
χ632-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i2-20000−2i2i1-1−33−33−ii−i3i3−i3i300−i3i3-111−i−1+i1+i−1−i1−i−1+i1+i−1−i−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ140000000000000000
χ642-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i2-20000−2i2i1-1−33−33−ii−i3i3−i3i300−i3i3-11−1+i1−i−1−i1+i−1+i1−i−1−i1+i−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ140000000000000000
χ652-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i-2200002i−2i1-13−33−3−iii3−i3i3−i300−i3i31-11+i−1−i−1+i1−i−1−i1+i1−i−1+i−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ220000000000000000
χ662-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i-2200002i−2i1-13−33−3−iii3−i3i3−i300−i3i31-1−1−i1+i1−i−1+i1+i−1−i−1+i1−i−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ220000000000000000
χ672-22-2−2i−2i2i2i-22-12i−2i-111ii−i−i-2200002i−2i1-1−33−33−ii−i3i3−i3i300i3−i31-11+i−1−i−1+i1−i−1−i1+i1−i−1+i3−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ140000000000000000
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χ724444-4-4-4-4-4-4444444-4-4-4-400000000-4-4000044000000000000000000000000000000000000000000000000000000
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χ7544-4-44-44-400400-4-444-44-40000000000000000000000000000000000000000000000000000002i−2i2i−2i000000000000
χ7644-4-44-44-400400-4-444-44-4000000000000000000000000000000000000000000000000000000−2i2i−2i2i000000000000
χ7744-4-4-44-4400400-4-44-44-440000000000000000000000000000000000000000000000000000002i−2i−2i2i000000000000
χ7844-4-4-44-4400400-4-44-44-44000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ794-44-44i4i−4i−4i4-4-24i−4i-222−2i−2i2i2i004i−4i4-400-22−2i−2i2i2i−2i2i-2-22200000000000000000000000000000000000000000000000000
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χ814-44-4−4i−4i4i4i4-4-2−4i4i-2222i2i−2i−2i004i−4i-4400-22−2i−2i2i2i2i−2i22-2-200000000000000000000000000000000000000000000000000
χ824-44-4−4i−4i4i4i4-4-2−4i4i-2222i2i−2i−2i00−4i4i4-400-222i2i−2i−2i2i−2i-2-22200000000000000000000000000000000000000000000000000
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 24 (ζ24 = 1); i = ζ6.