Finite Group Databasebeta

← Group #13180947

Character table — Group #13180947

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222888888888888999999181818181818181818181818181818545454545454545411222228888888888889999991818181818181818181818181818185454545454545454
order1223666333666666666224444244666612121212121212128888888822266666666666666662244442446666121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ4111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111111-1-1ii−i−i-1i−i-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131111111111111111111-1-1ii−i−i-1i−i-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ61111111111111111111-1-1ii−i−i-1i−i-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131111111111111111111-1-1ii−i−i-1i−i-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ71111111111111111111-1-1−i−iii-1−ii-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231111111111111111111-1-1−i−iii-1−ii-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ81111111111111111111-1-1−i−iii-1−ii-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231111111111111111111-1-1−i−iii-1−ii-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ911-111-1-1111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-111-1-11-11-11-11-111-111-1-1111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-111-1-11-11-11-11-1
χ1011-111-1-1111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-111-1-1-11-11-11-1111-111-1-1111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-111-1-1-11-11-11-11
χ1111-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111i−ii−i−ii−ii11-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111i−ii−i−ii−ii
χ1211-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111−ii−iii−ii−i11-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111−ii−iii−ii−i
χ1311-111-1-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ1311-111-1-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ1411-111-1-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ1311-111-1-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ1511-111-1-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ2311-111-1-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ1611-111-1-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ2311-111-1-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ17222-1-1-1-12-1-12-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-100000000222-1-1-1-12-1-12-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222-1-1-1-12-1-12-1-122-1-1-1-122-2-2-2-22-2-2-1-1-1-11111111100000000222-1-1-1-12-1-12-1-122-1-1-1-122-2-2-2-22-2-2-1-1-1-11111111100000000
χ19222-1-1-1-12-1-12-1-122-1-1-1-1-2-22i2i−2i−2i-22i−2i1111−i−i−i−iiiii00000000222-1-1-1-12-1-12-1-122-1-1-1-1-2-22i2i−2i−2i-22i−2i1111−i−i−i−iiiii00000000
χ20222-1-1-1-12-1-12-1-122-1-1-1-1-2-2−2i−2i2i2i-2−2i2i1111iiii−i−i−i−i00000000222-1-1-1-12-1-12-1-122-1-1-1-1-2-2−2i−2i2i2i-2−2i2i1111iiii−i−i−i−i00000000
χ2122-2-1-1112-1-12-1-1-2-21111222222-2-2-2-111-1-1-111-1-1110000000022-2-1-1112-1-12-1-1-2-21111222222-2-2-2-111-1-1-111-1-11100000000
χ2222-2-1-1112-1-12-1-1-2-2111122-2-2-2-2-222-111-111-1-111-1-10000000022-2-1-1112-1-12-1-1-2-2111122-2-2-2-2-222-111-111-1-111-1-100000000
χ2322-2-1-1112-1-12-1-1-2-21111-2-22i2i−2i−2i2−2i2i1-1-11−i−iiiii−i−i0000000022-2-1-1112-1-12-1-1-2-21111-2-22i2i−2i−2i2−2i2i1-1-11−i−iiiii−i−i00000000
χ2422-2-1-1112-1-12-1-1-2-21111-2-2−2i−2i2i2i22i−2i1-1-11ii−i−i−i−iii0000000022-2-1-1112-1-12-1-1-2-21111-2-2−2i−2i2i2i22i−2i1-1-11ii−i−i−i−iii00000000
χ252-202-200222-2-2-20000002-22i−2i2i−2i000200-22i−2i002i−2i00000000002-202-200222-2-2-20000002-22i−2i2i−2i000200-22i−2i002i−2i0000000000
χ262-202-200222-2-2-20000002-2−2i2i−2i2i000200-2−2i2i00−2i2i00000000002-202-200222-2-2-20000002-2−2i2i−2i2i000200-2−2i2i00−2i2i0000000000
χ272-202-200222-2-2-2000000-222-2-22000-20022-200-2200000000002-202-200222-2-2-2000000-222-2-22000-20022-200-220000000000
χ282-202-200222-2-2-2000000-22-222-2000-2002-22002-200000000002-202-200222-2-2-2000000-22-222-2000-2002-22002-20000000000
χ292-20-11−i3i32-1-1-21100−i3−i3i3i32-22i−2i2i−2i000-1−i3i31−ii3−3−ii3−3000000002-20-11−i3i32-1-1-21100−i3−i3i3i32-22i−2i2i−2i000-1−i3i31−ii3−3−ii3−300000000
χ302-20-11−i3i32-1-1-21100−i3−i3i3i32-2−2i2i−2i2i000-1−i3i31i−i−33i−i−33000000002-20-11−i3i32-1-1-21100−i3−i3i3i32-2−2i2i−2i2i000-1−i3i31i−i−33i−i−3300000000
χ312-20-11−i3i32-1-1-21100−i3−i3i3i3-222-2-220001i3−i3-1-11−i3i31-1i3−i3000000002-20-11−i3i32-1-1-21100−i3−i3i3i3-222-2-220001i3−i3-1-11−i3i31-1i3−i300000000
χ322-20-11−i3i32-1-1-21100−i3−i3i3i3-22-222-20001i3−i3-11-1i3−i3-11−i3i3000000002-20-11−i3i32-1-1-21100−i3−i3i3i3-22-222-20001i3−i3-11-1i3−i3-11−i3i300000000
χ332-20-11i3−i32-1-1-21100i3i3−i3−i32-22i−2i2i−2i000-1i3−i31−ii−33−ii−33000000002-20-11i3−i32-1-1-21100i3i3−i3−i32-22i−2i2i−2i000-1i3−i31−ii−33−ii−3300000000
χ342-20-11i3−i32-1-1-21100i3i3−i3−i32-2−2i2i−2i2i000-1i3−i31i−i3−3i−i3−3000000002-20-11i3−i32-1-1-21100i3i3−i3−i32-2−2i2i−2i2i000-1i3−i31i−i3−3i−i3−300000000
χ352-20-11i3−i32-1-1-21100i3i3−i3−i3-222-2-220001−i3i3-1-11i3−i31-1−i3i3000000002-20-11i3−i32-1-1-21100i3i3−i3−i3-222-2-220001−i3i3-1-11i3−i31-1−i3i300000000
χ362-20-11i3−i32-1-1-21100i3i3−i3−i3-22-222-20001−i3i3-11-1−i3i3-11i3−i3000000002-20-11i3−i32-1-1-21100i3i3−i3−i3-22-222-20001−i3i3-11-1−i3i3-11i3−i300000000
χ378888888-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000008888888-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000
χ38888-4-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000888-4-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000
χ39888-4-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000888-4-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000
χ4088-888-8-8-1-1-1-1-1-11111110000000000000000000000000000088-888-8-8-1-1-1-1-1-111111100000000000000000000000000000
χ4188-8-4-444-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i320000000000000000000000000000088-8-4-444-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000
χ4288-8-4-444-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i320000000000000000000000000000088-8-4-444-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000
χ438-808-800-1-1-11113-33-3-33000000000000000000000000000008-808-800-1-1-11113-33-3-3300000000000000000000000000000
χ448-808-800-1-1-1111-33-333-3000000000000000000000000000008-808-800-1-1-1111-33-333-300000000000000000000000000000
χ458-80-44−4i34i3-11−3i321+3i321−1+3i32−1−3i323-3−3+i323+i323−i32−3−i32000000000000000000000000000008-80-44−4i34i3-11−3i321+3i321−1+3i32−1−3i323-3−3+i323+i323−i32−3−i3200000000000000000000000000000
χ468-80-44−4i34i3-11+3i321−3i321−1−3i32−1+3i32-333+i32−3+i32−3−i323−i32000000000000000000000000000008-80-44−4i34i3-11+3i321−3i321−1−3i32−1+3i32-333+i32−3+i32−3−i323−i3200000000000000000000000000000
χ478-80-444i3−4i3-11−3i321+3i321−1+3i32−1−3i32-333−i32−3−i32−3+i323+i32000000000000000000000000000008-80-444i3−4i3-11−3i321+3i321−1+3i32−1−3i32-333−i32−3−i32−3+i323+i3200000000000000000000000000000
χ488-80-444i3−4i3-11+3i321−3i321−1−3i32−1+3i323-3−3−i323−i323+i32−3+i32000000000000000000000000000008-80-444i3−4i3-11+3i321−3i321−1−3i32−1+3i323-3−3−i323−i323+i32−3+i3200000000000000000000000000000
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
χ501111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111111111−i−i−i−iiiii
χ52111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-111111111iiii−i−i−i−i
χ531111111111111111111-1-1ii−i−i-1i−i-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1−ii1111−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ541111111111111111111-1-1ii−i−i-1i−i-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii1−ii1111−i−i−i−iiiiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ551111111111111111111-1-1−i−iii-1−ii-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1i−i1111iiii−i−i−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ561111111111111111111-1-1−i−iii-1−ii-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i1i−i1111iiii−i−i−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ5711-111-1-1111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-111-1-11-11-11-11-1-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-111-1-111-11-11-11-11
χ5811-111-1-1111111-1-1-1-1-1-1111111-1-1-11-1-1111-1-111-1-1-11-11-11-11-1-11-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-111-1-1111-11-11-11-1
χ5911-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111i−ii−i−ii−ii-1-11-1-111-1-1-1-1-1-1111111-1-111111-1-1-111-111-1-111-1-1−ii−iii−ii−i
χ6011-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1111-1-11-1-111-1-111−ii−iii−ii−i-1-11-1-111-1-1-1-1-1-1111111-1-111111-1-1-111-111-1-111-1-1i−ii−i−ii−ii
χ6111-111-1-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-111-1ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13-1-11-1-111-1-1-1-1-1-111111111−i−iii-1i−i1-1-11−i−iiiii−i−i−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ6211-111-1-1111111-1-1-1-1-1-1-1-1ii−i−i1−ii-111-1ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13-1-11-1-111-1-1-1-1-1-111111111−i−iii-1i−i1-1-11−i−iiiii−i−iζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ6311-111-1-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-111-1−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23-1-11-1-111-1-1-1-1-1-111111111ii−i−i-1−ii1-1-11ii−i−i−i−iiiζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ6411-111-1-1111111-1-1-1-1-1-1-1-1−i−iii1i−i-111-1−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23-1-11-1-111-1-1-1-1-1-111111111ii−i−i-1−ii1-1-11ii−i−i−i−iii−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ65222-1-1-1-12-1-12-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-21111-211-211-2-21111-2-2-2-2-2-2-2-2-211111111111100000000
χ66222-1-1-1-12-1-12-1-122-1-1-1-122-2-2-2-22-2-2-1-1-1-11111111100000000-2-2-21111-211-211-2-21111-2-22222-2221111-1-1-1-1-1-1-1-100000000
χ67222-1-1-1-12-1-12-1-122-1-1-1-1-2-22i2i−2i−2i-22i−2i1111−i−i−i−iiiii00000000-2-2-21111-211-211-2-2111122−2i−2i2i2i2−2i2i-1-1-1-1iiii−i−i−i−i00000000
χ68222-1-1-1-12-1-12-1-122-1-1-1-1-2-2−2i−2i2i2i-2−2i2i1111iiii−i−i−i−i00000000-2-2-21111-211-211-2-21111222i2i−2i−2i22i−2i-1-1-1-1−i−i−i−iiiii00000000
χ6922-2-1-1112-1-12-1-1-2-21111222222-2-2-2-111-1-1-111-1-11100000000-2-2211-1-1-211-21122-1-1-1-1-2-2-2-2-2-22221-1-1111-1-111-1-100000000
χ7022-2-1-1112-1-12-1-1-2-2111122-2-2-2-2-222-111-111-1-111-1-100000000-2-2211-1-1-211-21122-1-1-1-1-2-222222-2-21-1-11-1-111-1-11100000000
χ7122-2-1-1112-1-12-1-1-2-21111-2-22i2i−2i−2i2−2i2i1-1-11−i−iiiii−i−i00000000-2-2211-1-1-211-21122-1-1-1-122−2i−2i2i2i-22i−2i-111-1ii−i−i−i−iii00000000
χ7222-2-1-1112-1-12-1-1-2-21111-2-2−2i−2i2i2i22i−2i1-1-11ii−i−i−i−iii00000000-2-2211-1-1-211-21122-1-1-1-1222i2i−2i−2i-2−2i2i-111-1−i−iiiii−i−i00000000
χ732-202-200222-2-2-20000002-22i−2i2i−2i000200-22i−2i002i−2i0000000000-220-2200-2-2-2222000000-22−2i2i−2i2i000-2002−2i2i00−2i2i0000000000
χ742-202-200222-2-2-20000002-2−2i2i−2i2i000200-2−2i2i00−2i2i0000000000-220-2200-2-2-2222000000-222i−2i2i−2i000-20022i−2i002i−2i0000000000
χ752-202-200222-2-2-2000000-222-2-22000-20022-200-220000000000-220-2200-2-2-22220000002-2-222-2000200-2-22002-20000000000
χ762-202-200222-2-2-2000000-22-222-2000-2002-22002-20000000000-220-2200-2-2-22220000002-22-2-22000200-22-200-220000000000
χ772-20-11−i3i32-1-1-21100−i3−i3i3i32-22i−2i2i−2i000-1−i3i31−ii3−3−ii3−300000000-2201-1i3−i3-2112-1-100i3i3−i3−i3-22−2i2i−2i2i0001i3−i3-1i−i−33i−i−3300000000
χ782-20-11−i3i32-1-1-21100−i3−i3i3i32-2−2i2i−2i2i000-1−i3i31i−i−33i−i−3300000000-2201-1i3−i3-2112-1-100i3i3−i3−i3-222i−2i2i−2i0001i3−i3-1−ii3−3−ii3−300000000
χ792-20-11−i3i32-1-1-21100−i3−i3i3i3-222-2-220001i3−i3-1-11−i3i31-1i3−i300000000-2201-1i3−i3-2112-1-100i3i3−i3−i32-2-222-2000-1−i3i311-1i3−i3-11−i3i300000000
χ802-20-11−i3i32-1-1-21100−i3−i3i3i3-22-222-20001i3−i3-11-1i3−i3-11−i3i300000000-2201-1i3−i3-2112-1-100i3i3−i3−i32-22-2-22000-1−i3i31-11−i3i31-1i3−i300000000
χ812-20-11i3−i32-1-1-21100i3i3−i3−i32-22i−2i2i−2i000-1i3−i31−ii−33−ii−3300000000-2201-1−i3i3-2112-1-100−i3−i3i3i3-22−2i2i−2i2i0001−i3i3-1i−i3−3i−i3−300000000
χ822-20-11i3−i32-1-1-21100i3i3−i3−i32-2−2i2i−2i2i000-1i3−i31i−i3−3i−i3−300000000-2201-1−i3i3-2112-1-100−i3−i3i3i3-222i−2i2i−2i0001−i3i3-1−ii−33−ii−3300000000
χ832-20-11i3−i32-1-1-21100i3i3−i3−i3-222-2-220001−i3i3-1-11i3−i31-1−i3i300000000-2201-1−i3i3-2112-1-100−i3−i3i3i32-2-222-2000-1i3−i311-1−i3i3-11i3−i300000000
χ842-20-11i3−i32-1-1-21100i3i3−i3−i3-22-222-20001−i3i3-11-1−i3i3-11i3−i300000000-2201-1−i3i3-2112-1-100−i3−i3i3i32-22-2-22000-1i3−i31-11i3−i31-1−i3i300000000
χ858888888-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000-8-8-8-8-8-8-811111111111100000000000000000000000000000
χ86888-4-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000-8-8-844441−1+3i32−1−3i321−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000
χ87888-4-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000-8-8-844441−1−3i32−1+3i321−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000
χ8888-888-8-8-1-1-1-1-1-111111100000000000000000000000000000-8-88-8-888111111-1-1-1-1-1-100000000000000000000000000000
χ8988-8-4-444-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000-8-8844-4-41−1+3i32−1−3i321−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000
χ9088-8-4-444-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000-8-8844-4-41−1−3i32−1+3i321−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000
χ918-808-800-1-1-11113-33-3-3300000000000000000000000000000-880-8800111-1-1-1-33-333-300000000000000000000000000000
χ928-808-800-1-1-1111-33-333-300000000000000000000000000000-880-8800111-1-1-13-33-3-3300000000000000000000000000000
χ938-80-44−4i34i3-11−3i321+3i321−1+3i32−1−3i323-3−3+i323+i323−i32−3−i3200000000000000000000000000000-8804-44i3−4i31−1+3i32−1−3i32-11−3i321+3i32-333−i32−3−i32−3+i323+i3200000000000000000000000000000
χ948-80-44−4i34i3-11+3i321−3i321−1−3i32−1+3i32-333+i32−3+i32−3−i323−i3200000000000000000000000000000-8804-44i3−4i31−1−3i32−1+3i32-11+3i321−3i323-3−3−i323−i323+i32−3+i3200000000000000000000000000000
χ958-80-444i3−4i3-11−3i321+3i321−1+3i32−1−3i32-333−i32−3−i32−3+i323+i3200000000000000000000000000000-8804-4−4i34i31−1+3i32−1−3i32-11−3i321+3i323-3−3+i323+i323−i32−3−i3200000000000000000000000000000
χ968-80-444i3−4i3-11+3i321−3i321−1−3i32−1+3i323-3−3−i323−i323+i32−3+i3200000000000000000000000000000-8804-4−4i34i31−1−3i32−1+3i32-11+3i321−3i32-333+i32−3+i32−3−i323−i3200000000000000000000000000000

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