Finite Group Databasebeta

← Group #10691008

Character table — Group #10691008

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size11112222222222222222444444444444444444488888888888888888888888888888888881212121224242424242448484848
order12222234444446666666224444412121212121212121212121224444466668888121212121212121212121212242424242424242488888888882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-11-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-11-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111
χ811111111111111111111-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ91111-1-11-1-111-1-1-1-111-1-11111-1-11-11111-1-111-1-1-1-1-11ii−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−iii−i−ii−iii−i−i1-11-1
χ101111-1-11-1-111-1-1-1-111-1-11111-1-11-11111-1-111-1-1-1-1-11ii−i−i11-1-1ii−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i−i−iii−ii−i−iii-11-11
χ111111-1-11-1-111-1-1-1-111-1-11111-1-11-11111-1-111-1-1-1-1-11−i−iii11-1-1−i−iii−i−i−i−iiiii11-1-1−i−i−i−iiiiiii−i−ii−iii−i−i-11-11
χ121111-1-11-1-111-1-1-1-111-1-11111-1-11-11111-1-111-1-1-1-1-11−i−iii11-1-1−i−iii−i−i−i−iiiii11-1-1−i−i−i−iiiii−i−iii−ii−i−iii1-11-1
χ131111-1-11-1-111-1-1-1-111-1-11-1-11111-11111-1-111-1-1-1-11-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-111−i−i−i−iiiiiii−i−ii−i−i−iii1-1-11
χ141111-1-11-1-111-1-1-1-111-1-11-1-11111-11111-1-111-1-1-1-11-1ii−i−i-1-111−i−iiiiiii−i−i−i−i-1-111−i−i−i−iiiii−i−iii−iiii−i−i-111-1
χ151111-1-11-1-111-1-1-1-111-1-11-1-11111-11111-1-111-1-1-1-11-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-111iiii−i−i−i−iii−i−ii−i−i−iii-111-1
χ161111-1-11-1-111-1-1-1-111-1-11-1-11111-11111-1-111-1-1-1-11-1−i−iii-1-111ii−i−i−i−i−i−iiiii-1-111iiii−i−i−i−i−i−iii−iiii−i−i1-1-11
χ17222222222-2-2-2-2222222200-2002-222-2-222-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i0000
χ18222222222-2-2-2-2222222200-2002-222-2-222-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ192222222-2-222-2-2222222222-2-2-2-22-2-222-2-2-2-2-2-2222-200002222000000000000-2-2-2-20000000000000000000000
χ202222222-2-222-2-22222222-2-2-222-22-2-222-2-2-2-2-2-222-220000-2-2-2-200000000000022220000000000000000000000
χ212222222-2-2-2-222222222200200-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000002222-2-200000000
χ222222222-2-2-2-222222222200200-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000-2-2-2-22200000000
χ23222222-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ24222222-1222222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-2-2-2-211111111-1-1-1-11111111100000000000000
χ25222222-1222222-1-1-1-1-1-1-1-2-22-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-222221111-2-2-2-2-1-1-1-1-1-1-1-111111111111100000000000000
χ26222222-1222222-1-1-1-1-1-1-1-2-22-2-222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-211112222111111111111-1-1-1-1-1-1-1-100000000000000
χ27222222-1-2-222-2-2-1-1-1-1-1-1-122-2-2-2-2211-1-1111111-1-12-20000-1-1-1-10000−i3−i3i3i3−i3−i3i3i31111−i3−i3i3i3−i3−i3i3i300000000000000
χ28222222-1-2-222-2-2-1-1-1-1-1-1-122-2-2-2-2211-1-1111111-1-12-20000-1-1-1-10000i3i3−i3−i3i3i3−i3−i31111i3i3−i3−i3i3i3−i3−i300000000000000
χ29222222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-222-2211-1-1111111-1-1-22000011110000−i3−i3i3i3−i3−i3i3i3-1-1-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ30222222-1-2-222-2-2-1-1-1-1-1-1-1-2-2-222-2211-1-1111111-1-1-22000011110000i3i3−i3−i3i3i3−i3−i3-1-1-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ312222-2-22222222-2-222-2-2222-222-2-2-2-22222-2-222-2-2-2-2000022-2-2000000000000-2-2220000000000000000000000
χ322222-2-22222222-2-222-2-22-2-2-2-2-2-2-2-2-22222-2-222-2-2220000-2-22200000000000022-2-20000000000000000000000
χ332222-2-2222-2-2-2-2-2-222-2-2200200-22-2-2-2-22222-2-22200000000000000000000000000000000002i2i−2i−2i−2i2i00000000
χ342222-2-2222-2-2-2-2-2-222-2-2200200-22-2-2-2-22222-2-2220000000000000000000000000000000000−2i−2i2i2i2i−2i00000000
χ352222-2-22-2-2-2-222-2-222-2-2200-2002222-2-2-2-2-2-2222200000000000000000000000000000000000000002-2-220000
χ362222-2-22-2-2-2-222-2-222-2-2200-2002222-2-2-2-2-2-222220000000000000000000000000000000000000000-222-20000
χ372222-2-2-122222211-1-111-122-222-2-211-1-1-1-111-1-111-2-20000-1-111000033−3−3−3−33311-1-133−3−3−3−33300000000000000
χ382222-2-2-122222211-1-111-122-222-2-211-1-1-1-111-1-111-2-20000-1-1110000−3−33333−3−311-1-1−3−33333−3−300000000000000
χ392222-2-2-122222211-1-111-1-2-2-2-2-2-2-211-1-1-1-111-1-11122000011-1-1000033−3−3−3−333-1-111−3−33333−3−300000000000000
χ402222-2-2-122222211-1-111-1-2-2-2-2-2-2-211-1-1-1-111-1-11122000011-1-10000−3−33333−3−3-1-11133−3−3−3−33300000000000000
χ412222-2-2-1-2-222-2-211-1-111-1222-2-22-2-1-1-1-111-1-11111-222i2i−2i−2i-1-1112i2i−2i−2i−i−i−i−iiiii-1-111−i−i−i−iiiii00000000000000
χ422222-2-2-1-2-222-2-211-1-111-1222-2-22-2-1-1-1-111-1-11111-22−2i−2i2i2i-1-111−2i−2i2i2iiiii−i−i−i−i-1-111iiii−i−i−i−i00000000000000
χ432222-2-2-1-2-222-2-211-1-111-1-2-22222-2-1-1-1-111-1-111112-22i2i−2i−2i11-1-1−2i−2i2i2i−i−i−i−iiiii11-1-1iiii−i−i−i−i00000000000000
χ442222-2-2-1-2-222-2-211-1-111-1-2-22222-2-1-1-1-111-1-111112-2−2i−2i2i2i11-1-12i2i−2i−2iiiii−i−i−i−i11-1-1−i−i−i−iiiii00000000000000
χ4522-2-20022i−2i2-22i−2i002-200-22-202i−2i00002-22i−2i002i−2i00001+i−1−i1−i−1+i2-2001+i−1−i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ4622-2-20022i−2i2-22i−2i002-200-22-202i−2i00002-22i−2i002i−2i0000−1−i1+i−1+i1−i2-200−1−i1+i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ4722-2-20022i−2i2-22i−2i002-200-2-220−2i2i00002-22i−2i002i−2i00001+i−1−i1−i−1+i-2200−1−i1+i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000
χ4822-2-20022i−2i2-22i−2i002-200-2-220−2i2i00002-22i−2i002i−2i0000−1−i1+i−1+i1−i-22001+i−1−i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000
χ4922-2-2002−2i2i2-2−2i2i002-200-22-20−2i2i00002-2−2i2i00−2i2i00001−i−1+i1+i−1−i2-2001−i−1+i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ5022-2-2002−2i2i2-2−2i2i002-200-22-20−2i2i00002-2−2i2i00−2i2i0000−1+i1−i−1−i1+i2-200−1+i1−i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ5122-2-2002−2i2i2-2−2i2i002-200-2-2202i−2i00002-2−2i2i00−2i2i00001−i−1+i1+i−1−i-2200−1+i1−i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000000000
χ5222-2-2002−2i2i2-2−2i2i002-200-2-2202i−2i00002-2−2i2i00−2i2i0000−1+i1−i−1−i1+i-22001−i−1+i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000000000
χ5322-2-200-12i−2i2-22i−2i−i3i3-11−i3i312-202i−2i003−3-11−ii3−3−ii−i3i3001+i−1−i1−i−1+i-11−i3i31+i−1−i1−i−1+i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ223−3−ii−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000000000
χ5422-2-200-12i−2i2-22i−2i−i3i3-11−i3i312-202i−2i003−3-11−ii3−3−ii−i3i300−1−i1+i−1+i1−i-11−i3i3−1−i1+i−1+i1−iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ223−3−iiζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000000000
χ5522-2-200-12i−2i2-22i−2i−i3i3-11−i3i31-220−2i2i003−3-11−ii3−3−ii−i3i3001+i−1−i1−i−1+i1-1i3−i3−1−i1+i−1+i1−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−33i−iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ2200000000000000
χ5622-2-200-12i−2i2-22i−2i−i3i3-11−i3i31-220−2i2i003−3-11−ii3−3−ii−i3i300−1−i1+i−1+i1−i1-1i3−i31+i−1−i1−i−1+iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−33i−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ2200000000000000
χ5722-2-200-12i−2i2-22i−2ii3−i3-11i3−i312-202i−2i00−33-11−ii−33−iii3−i3001+i−1−i1−i−1+i-11i3−i31+i−1−i1−i−1+i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−33−ii−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000000000
χ5822-2-200-12i−2i2-22i−2ii3−i3-11i3−i312-202i−2i00−33-11−ii−33−iii3−i300−1−i1+i−1+i1−i-11i3−i3−1−i1+i−1+i1−iζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−33−iiζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000000000
χ5922-2-200-12i−2i2-22i−2ii3−i3-11i3−i31-220−2i2i00−33-11−ii−33−iii3−i3001+i−1−i1−i−1+i1-1−i3i3−1−i1+i−1+i1−i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ143−3i−iζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ1400000000000000
χ6022-2-200-12i−2i2-22i−2ii3−i3-11i3−i31-220−2i2i00−33-11−ii−33−iii3−i300−1−i1+i−1+i1−i1-1−i3i31+i−1−i1−i−1+iζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ143−3i−i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ1400000000000000
χ6122-2-200-1−2i2i2-2−2i2i−i3i3-11−i3i312-20−2i2i00−33-11i−i−33i−i−i3i3001−i−1+i1+i−1−i-11−i3i31−i−1+i1+i−1−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−33i−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
χ6222-2-200-1−2i2i2-2−2i2i−i3i3-11−i3i312-20−2i2i00−33-11i−i−33i−i−i3i300−1+i1−i−1−i1+i-11−i3i3−1+i1−i−1−i1+iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−33i−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ6322-2-200-1−2i2i2-2−2i2i−i3i3-11−i3i31-2202i−2i00−33-11i−i−33i−i−i3i3001−i−1+i1+i−1−i1-1i3−i3−1+i1−i−1−i1+i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ223−3−iiζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ2200000000000000
χ6422-2-200-1−2i2i2-2−2i2i−i3i3-11−i3i31-2202i−2i00−33-11i−i−33i−i−i3i300−1+i1−i−1−i1+i1-1i3−i31−i−1+i1+i−1−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ223−3−ii−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ2200000000000000
χ6522-2-200-1−2i2i2-2−2i2ii3−i3-11i3−i312-20−2i2i003−3-11i−i3−3i−ii3−i3001−i−1+i1+i−1−i-11i3−i31−i−1+i1+i−1−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ143−3i−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ6622-2-200-1−2i2i2-2−2i2ii3−i3-11i3−i312-20−2i2i003−3-11i−i3−3i−ii3−i300−1+i1−i−1−i1+i-11i3−i3−1+i1−i−1−i1+iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ143−3i−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
χ6722-2-200-1−2i2i2-2−2i2ii3−i3-11i3−i31-2202i−2i003−3-11i−i3−3i−ii3−i3001−i−1+i1+i−1−i1-1−i3i3−1+i1−i−1−i1+i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−33−iiζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ1400000000000000
χ6822-2-200-1−2i2i2-2−2i2ii3−i3-11i3−i31-2202i−2i003−3-11i−i3−3i−ii3−i300−1+i1−i−1−i1+i1-1−i3i31−i−1+i1+i−1−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−33−ii−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ1400000000000000
χ69444444-244-4-4-4-4-2-2-2-2-2-2-200-4004-4-2-222-2-2222222000000000000000000000000000000000000000000000000
χ70444444-2-4-4-4-444-2-2-2-2-2-2-200400-4-4222222-2-2-2-222000000000000000000000000000000000000000000000000
χ714444-4-4-244-4-4-4-422-2-222-200400-442222-2-2-2-222-2-2000000000000000000000000000000000000000000000000
χ724444-4-4-2-4-4-4-44422-2-222-200-40044-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ7344-4-40044i−4i-44−4i4i004-400-4000000000-444i−4i00−4i4i00000000000000000000000000000000000000000000000000
χ7444-4-4004−4i4i-444i−4i004-400-4000000000-44−4i4i004i−4i00000000000000000000000000000000000000000000000000
χ7544-4-400-24i−4i-44−4i4i−2i32i3-22−2i32i32000000023−232-2−2i2i−23232i−2i2i3−2i3000000000000000000000000000000000000000000000000
χ7644-4-400-24i−4i-44−4i4i2i3−2i3-222i3−2i320000000−23232-2−2i2i23−232i−2i−2i32i3000000000000000000000000000000000000000000000000
χ7744-4-400-2−4i4i-444i−4i−2i32i3-22−2i32i320000000−23232-22i−2i23−23−2i2i2i3−2i3000000000000000000000000000000000000000000000000
χ7844-4-400-2−4i4i-444i−4i2i3−2i3-222i3−2i32000000023−232-22i−2i−2323−2i2i−2i32i3000000000000000000000000000000000000000000000000
χ794-4-444-4400000044-44-4-4-400000000000000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ804-4-444-4400000044-44-4-4-4000000000000000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ814-4-44-444000000-4-4-4444-40000000000000000000000000000000000000000000000000000022−22−22220000000000
χ824-4-44-444000000-4-4-4444-400000000000000000000000000000000000000000000000000000−222222−220000000000
χ838-88-800800000000-8-80080000000000000000000000000000000000000000000000000000000000000000000
χ848-88-800-4000000−4i34i3444i3−4i3-40000000000000000000000000000000000000000000000000000000000000000000
χ858-88-800-40000004i3−4i344−4i34i3-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-888-8-4000000-4-44-44440000000000000000000000000000000000000000000000000000000000000000000
χ878-8-88-88-4000000444-4-4-440000000000000000000000000000000000000000000000000000000000000000000

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