Finite Group Databasebeta

← Group #13166373

Character table — Group #13166373

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222224444888888888899121818181818181818181818181818181818242424241081081081122222444488888888889912181818181818181818181818181818181824242424108108108
order123461212336633661212121212124422444466121212121212121212126666488226461212666666661212121212124422444466121212121212121212126666488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1
χ311111111111111111111111-111111111111111111-1-1-1-1-1-1-111111111111111111111111-111111111111111111-1-1-1-1-1-1-1
χ411111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111-1-11-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1i−i111111111111111111111-1-11-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1i−i
χ6111111111111111111111-1-11-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1−ii111111111111111111111-1-11-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1−ii
χ7111111111111111111111-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-11−ii111111111111111111111-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-11−ii
χ8111111111111111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-11i−i111111111111111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-11i−i
χ9222-22-2-222222222-2-2-2-2-2-2220-20000-2-222000000000000000222-22-2-222222222-2-2-2-2-2-2220-20000-2-222000000000000000
χ10222-22-2-222222222-2-2-2-2-2-2-2-202000022-2-2000000000000000222-22-2-222222222-2-2-2-2-2-2-2-202000022-2-2000000000000000
χ1122-12-1-1-12222-1-1-1-122-1-1-1-122022222-1-1-1-1-1-1-1-1-1-1-1-1000000022-12-1-1-12222-1-1-1-122-1-1-1-122022222-1-1-1-1-1-1-1-1-1-1-1-10000000
χ1222-12-1-1-12222-1-1-1-122-1-1-1-12202-2-2-2-2-1-1-1-111111111000000022-12-1-1-12222-1-1-1-122-1-1-1-12202-2-2-2-2-1-1-1-1111111110000000
χ1322-12-1-1-12222-1-1-1-122-1-1-1-1-2-20-22i2i−2i−2i1111−i−i−i−iiiii000000022-12-1-1-12222-1-1-1-122-1-1-1-1-2-20-22i2i−2i−2i1111−i−i−i−iiiii0000000
χ1422-12-1-1-12222-1-1-1-122-1-1-1-1-2-20-2−2i−2i2i2i1111iiii−i−i−i−i000000022-12-1-1-12222-1-1-1-122-1-1-1-1-2-20-2−2i−2i2i2i1111iiii−i−i−i−i0000000
χ1522-1-2-1112222-1-1-1-1-2-21111220-2000011-1-133−3−333−3−3000000022-1-2-1112222-1-1-1-1-2-21111220-2000011-1-133−3−333−3−30000000
χ1622-1-2-1112222-1-1-1-1-2-21111220-2000011-1-1−3−333−3−333000000022-1-2-1112222-1-1-1-1-2-21111220-2000011-1-1−3−333−3−3330000000
χ1722-1-2-1112222-1-1-1-1-2-21111-2-2020000-1-111−i3−i3i3i3i3i3−i3−i3000000022-1-2-1112222-1-1-1-1-2-21111-2-2020000-1-111−i3−i3i3i3i3i3−i3−i30000000
χ1822-1-2-1112222-1-1-1-1-2-21111-2-2020000-1-111i3i3−i3−i3−i3−i3i3i3000000022-1-2-1112222-1-1-1-1-2-21111-2-2020000-1-111i3i3−i3−i3−i3−i3i3i30000000
χ192-220-20022-2-222-2-20000002i−2i001+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000002-220-20022-2-222-2-20000002i−2i001+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000
χ202-220-20022-2-222-2-20000002i−2i00−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000002-220-20022-2-222-2-20000002i−2i00−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000
χ212-220-20022-2-222-2-2000000−2i2i001−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000002-220-20022-2-222-2-2000000−2i2i001−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000
χ222-220-20022-2-222-2-2000000−2i2i00−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000002-220-20022-2-222-2-2000000−2i2i00−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000
χ232-2-1013−322-2-2-1-1110033−3−32i−2i001+i−1−i1−i−1+i−i3i3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700000002-2-1013−322-2-2-1-1110033−3−32i−2i001+i−1−i1−i−1+i−i3i3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000
χ242-2-1013−322-2-2-1-1110033−3−32i−2i00−1−i1+i−1+i1−i−i3i3−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700000002-2-1013−322-2-2-1-1110033−3−32i−2i00−1−i1+i−1+i1−i−i3i3−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000000
χ252-2-1013−322-2-2-1-1110033−3−3−2i2i001−i−1+i1+i−1−ii3−i3i−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ1100000002-2-1013−322-2-2-1-1110033−3−3−2i2i001−i−1+i1+i−1−ii3−i3i−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000000
χ262-2-1013−322-2-2-1-1110033−3−3−2i2i00−1+i1−i−1−i1+ii3−i3i−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ1100000002-2-1013−322-2-2-1-1110033−3−3−2i2i00−1+i1−i−1−i1+ii3−i3i−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000000
χ272-2-101−3322-2-2-1-11100−3−3332i−2i001+i−1−i1−i−1+ii3−i3−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ1100000002-2-101−3322-2-2-1-11100−3−3332i−2i001+i−1−i1−i−1+ii3−i3−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000
χ282-2-101−3322-2-2-1-11100−3−3332i−2i00−1−i1+i−1+i1−ii3−i3−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ1100000002-2-101−3322-2-2-1-11100−3−3332i−2i00−1−i1+i−1+i1−ii3−i3−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000000
χ292-2-101−3322-2-2-1-11100−3−333−2i2i001−i−1+i1+i−1−i−i3i3i−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ700000002-2-101−3322-2-2-1-11100−3−333−2i2i001−i−1+i1+i−1−i−i3i3i−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000000
χ302-2-101−3322-2-2-1-11100−3−333−2i2i00−1+i1−i−1−i1+i−i3i3i−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ700000002-2-101−3322-2-2-1-11100−3−333−2i2i00−1+i1−i−1−i1+i−i3i3i−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000000
χ3144444441-21-21-21-21-21-21-20040000000000000000011-2-200044444441-21-21-21-21-21-21-20040000000000000000011-2-2000
χ3244444441-21-21-21-21-21-21-200-400000000000000000-1-12200044444441-21-21-21-21-21-21-200-400000000000000000-1-122000
χ334444444-21-21-21-21-21-21-2100400000000000000000-2-2110004444444-21-21-21-21-21-21-2100400000000000000000-2-211000
χ344444444-21-21-21-21-21-21-2100-40000000000000000022-1-10004444444-21-21-21-21-21-21-2100-40000000000000000022-1-1000
χ35444-44-4-41-21-21-21-2-12-12-12000000000000000000003-300000444-44-4-41-21-21-21-2-12-12-12000000000000000000003-300000
χ36444-44-4-41-21-21-21-2-12-12-1200000000000000000000-3300000444-44-4-41-21-21-21-2-12-12-1200000000000000000000-3300000
χ37444-44-4-4-21-21-21-212-12-12-100000000000000000000003-3000444-44-4-4-21-21-21-212-12-12-100000000000000000000003-3000
χ38444-44-4-4-21-21-21-212-12-12-10000000000000000000000-33000444-44-4-4-21-21-21-212-12-12-10000000000000000000000-33000
χ3988-48-4-4-42-42-4-12-122-4-12-1200000000000000000000000000088-48-4-4-42-42-4-12-122-4-12-12000000000000000000000000000
χ4088-48-4-4-4-42-422-12-1-422-12-100000000000000000000000000088-48-4-4-4-42-422-12-1-422-12-1000000000000000000000000000
χ4188-4-8-4442-42-4-12-12-241-21-200000000000000000000000000088-4-8-4442-42-4-12-12-241-21-2000000000000000000000000000
χ4288-4-8-444-42-422-12-14-2-21-2100000000000000000000000000088-4-8-444-42-422-12-14-2-21-21000000000000000000000000000
χ438-880-8002-4-242-4-240000000000000000000000000000000008-880-8002-4-242-4-24000000000000000000000000000000000
χ448-880-800-424-2-424-20000000000000000000000000000000008-880-800-424-2-424-2000000000000000000000000000000000
χ458-8-40443−432-4-24-121-2003−23−3230000000000000000000000000008-8-40443−432-4-24-121-2003−23−323000000000000000000000000000
χ468-8-40443−43-424-22-1-2100−23323−30000000000000000000000000008-8-40443−43-424-22-1-2100−23323−3000000000000000000000000000
χ478-8-404−43432-4-24-121-200−3233−230000000000000000000000000008-8-404−43432-4-24-121-200−3233−23000000000000000000000000000
χ488-8-404−4343-424-22-1-210023−3−2330000000000000000000000000008-8-404−4343-424-22-1-210023−3−233000000000000000000000000000
χ49111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111
χ5111111111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5211111111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-11111111111111-1-1
χ53111111111111111111111-1-11-1ii−i−i-1-1-1-1iiii−i−i−i−i1111-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11−i−iii1111−i−i−i−iiiii-1-1-1-11−ii
χ54111111111111111111111-1-11-1−i−iii-1-1-1-1−i−i−i−iiiii1111-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11ii−i−i1111iiii−i−i−i−i-1-1-1-11i−i
χ55111111111111111111111-1-1-1-1ii−i−i-1-1-1-1iiii−i−i−i−i-1-1-1-11−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii1111−i−i−i−iiiii1111-1i−i
χ56111111111111111111111-1-1-1-1−i−iii-1-1-1-1−i−i−i−iiiii-1-1-1-11i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i1111iiii−i−i−i−i1111-1−ii
χ57222-22-2-222222222-2-2-2-2-2-2220-20000-2-222000000000000000-2-2-22-222-2-2-2-2-2-2-2-2222222-2-202000022-2-2000000000000000
χ58222-22-2-222222222-2-2-2-2-2-2-2-202000022-2-2000000000000000-2-2-22-222-2-2-2-2-2-2-2-2222222220-20000-2-222000000000000000
χ5922-12-1-1-12222-1-1-1-122-1-1-1-122022222-1-1-1-1-1-1-1-1-1-1-1-10000000-2-21-2111-2-2-2-21111-2-21111-2-20-2-2-2-2-21111111111110000000
χ6022-12-1-1-12222-1-1-1-122-1-1-1-12202-2-2-2-2-1-1-1-1111111110000000-2-21-2111-2-2-2-21111-2-21111-2-20-222221111-1-1-1-1-1-1-1-10000000
χ6122-12-1-1-12222-1-1-1-122-1-1-1-1-2-20-22i2i−2i−2i1111−i−i−i−iiiii0000000-2-21-2111-2-2-2-21111-2-211112202−2i−2i2i2i-1-1-1-1iiii−i−i−i−i0000000
χ6222-12-1-1-12222-1-1-1-122-1-1-1-1-2-20-2−2i−2i2i2i1111iiii−i−i−i−i0000000-2-21-2111-2-2-2-21111-2-2111122022i2i−2i−2i-1-1-1-1−i−i−i−iiiii0000000
χ6322-1-2-1112222-1-1-1-1-2-21111220-2000011-1-133−3−333−3−30000000-2-2121-1-1-2-2-2-2111122-1-1-1-1-2-2020000-1-111−3−333−3−3330000000
χ6422-1-2-1112222-1-1-1-1-2-21111220-2000011-1-1−3−333−3−3330000000-2-2121-1-1-2-2-2-2111122-1-1-1-1-2-2020000-1-11133−3−333−3−30000000
χ6522-1-2-1112222-1-1-1-1-2-21111-2-2020000-1-111−i3−i3i3i3i3i3−i3−i30000000-2-2121-1-1-2-2-2-2111122-1-1-1-1220-2000011-1-1i3i3−i3−i3−i3−i3i3i30000000
χ6622-1-2-1112222-1-1-1-1-2-21111-2-2020000-1-111i3i3−i3−i3−i3−i3i3i30000000-2-2121-1-1-2-2-2-2111122-1-1-1-1220-2000011-1-1−i3−i3i3i3i3i3−i3−i30000000
χ672-220-20022-2-222-2-20000002i−2i001+i−1−i1−i−1+i002i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000-22-20200-2-222-2-222000000−2i2i00−1−i1+i−1+i1−i00−2i2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000
χ682-220-20022-2-222-2-20000002i−2i00−1−i1+i−1+i1−i002i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000-22-20200-2-222-2-222000000−2i2i001+i−1−i1−i−1+i00−2i2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000
χ692-220-20022-2-222-2-2000000−2i2i001−i−1+i1+i−1−i00−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000-22-20200-2-222-2-2220000002i−2i00−1+i1−i−1−i1+i002i−2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000
χ702-220-20022-2-222-2-2000000−2i2i00−1+i1−i−1−i1+i00−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000-22-20200-2-222-2-2220000002i−2i001−i−1+i1+i−1−i002i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000
χ712-2-1013−322-2-2-1-1110033−3−32i−2i001+i−1−i1−i−1+i−i3i3−ii−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000-2210-1−33-2-22211-1-100−3−333−2i2i00−1−i1+i−1+i1−ii3−i3i−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000000
χ722-2-1013−322-2-2-1-1110033−3−32i−2i00−1−i1+i−1+i1−i−i3i3−iiζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000000-2210-1−33-2-22211-1-100−3−333−2i2i001+i−1−i1−i−1+ii3−i3i−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000
χ732-2-1013−322-2-2-1-1110033−3−3−2i2i001−i−1+i1+i−1−ii3−i3i−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000000-2210-1−33-2-22211-1-100−3−3332i−2i00−1+i1−i−1−i1+i−i3i3−iiζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000000
χ742-2-1013−322-2-2-1-1110033−3−3−2i2i00−1+i1−i−1−i1+ii3−i3i−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000000-2210-1−33-2-22211-1-100−3−3332i−2i001−i−1+i1+i−1−i−i3i3−ii−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000000
χ752-2-101−3322-2-2-1-11100−3−3332i−2i001+i−1−i1−i−1+ii3−i3−ii−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000-2210-13−3-2-22211-1-10033−3−3−2i2i00−1−i1+i−1+i1−i−i3i3i−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000000
χ762-2-101−3322-2-2-1-11100−3−3332i−2i00−1−i1+i−1+i1−ii3−i3−iiζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000000-2210-13−3-2-22211-1-10033−3−3−2i2i001+i−1−i1−i−1+i−i3i3i−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000
χ772-2-101−3322-2-2-1-11100−3−333−2i2i001−i−1+i1+i−1−i−i3i3i−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000000-2210-13−3-2-22211-1-10033−3−32i−2i00−1+i1−i−1−i1+ii3−i3−iiζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000000
χ782-2-101−3322-2-2-1-11100−3−333−2i2i00−1+i1−i−1−i1+i−i3i3i−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000000-2210-13−3-2-22211-1-10033−3−32i−2i001−i−1+i1+i−1−ii3−i3−ii−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000000
χ7944444441-21-21-21-21-21-21-20040000000000000000011-2-2000-4-4-4-4-4-4-4-12-12-12-12-12-12-1200-400000000000000000-1-122000
χ8044444441-21-21-21-21-21-21-200-400000000000000000-1-122000-4-4-4-4-4-4-4-12-12-12-12-12-12-120040000000000000000011-2-2000
χ814444444-21-21-21-21-21-21-2100400000000000000000-2-211000-4-4-4-4-4-4-42-12-12-12-12-12-12-100-40000000000000000022-1-1000
χ824444444-21-21-21-21-21-21-2100-40000000000000000022-1-1000-4-4-4-4-4-4-42-12-12-12-12-12-12-100400000000000000000-2-211000
χ83444-44-4-41-21-21-21-2-12-12-12000000000000000000003-300000-4-4-44-444-12-12-12-121-21-21-200000000000000000000-3300000
χ84444-44-4-41-21-21-21-2-12-12-1200000000000000000000-3300000-4-4-44-444-12-12-12-121-21-21-2000000000000000000003-300000
χ85444-44-4-4-21-21-21-212-12-12-100000000000000000000003-3000-4-4-44-4442-12-12-12-1-21-21-210000000000000000000000-33000
χ86444-44-4-4-21-21-21-212-12-12-10000000000000000000000-33000-4-4-44-4442-12-12-12-1-21-21-2100000000000000000000003-3000
χ8788-48-4-4-42-42-4-12-122-4-12-12000000000000000000000000000-8-84-8444-24-241-21-2-241-21-2000000000000000000000000000
χ8888-48-4-4-4-42-422-12-1-422-12-1000000000000000000000000000-8-84-84444-24-2-21-214-2-21-21000000000000000000000000000
χ8988-4-8-4442-42-4-12-12-241-21-2000000000000000000000000000-8-8484-4-4-24-241-21-22-4-12-12000000000000000000000000000
χ9088-4-8-444-42-422-12-14-2-21-21000000000000000000000000000-8-8484-4-44-24-2-21-21-422-12-1000000000000000000000000000
χ918-880-8002-4-242-4-24000000000000000000000000000000000-88-80800-242-4-242-4000000000000000000000000000000000
χ928-880-800-424-2-424-2000000000000000000000000000000000-88-808004-2-424-2-42000000000000000000000000000000000
χ938-8-40443−432-4-24-121-2003−23−323000000000000000000000000000-8840-4−4343-242-41-2-1200−3233−23000000000000000000000000000
χ948-8-40443−43-424-22-1-2100−23323−3000000000000000000000000000-8840-4−43434-2-42-212-10023−3−233000000000000000000000000000
χ958-8-404−43432-4-24-121-200−3233−23000000000000000000000000000-8840-443−43-242-41-2-12003−23−323000000000000000000000000000
χ968-8-404−4343-424-22-1-210023−3−233000000000000000000000000000-8840-443−434-2-42-212-100−23323−3000000000000000000000000000

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