Finite Group Databasebeta

← Group #13180939

Character table — Group #13180939

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222888888888888999999181818181818181818181818181818545454545454545411222228888888888889999991818181818181818181818181818185454545454545454
order123461212333666121212121212224444444661212121212121212121288888888226461212666666121212121212224444444661212121212121212121288888888
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
χ51111111111111111111-1-1i−ii−i-1i−i-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131111111111111111111-1-1i−ii−i-1i−i-1-1-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ61111111111111111111-1-1i−ii−i-1i−i-1-1-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131111111111111111111-1-1i−ii−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−ii−ii-1−ii-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231111111111111111111-1-1−ii−ii-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−ii−ii-1−ii-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231111111111111111111-1-1−ii−ii-1−ii-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ9111-11-1-1111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-11-11-11-11-1111-11-1-1111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-11-11-11-11-1
χ10111-11-1-1111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-1-11-11-11-11111-11-1-1111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-1-11-11-11-11
χ11111-11-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111i−ii−i−ii−ii111-11-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111i−ii−i−ii−ii
χ12111-11-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111−ii−iii−ii−i111-11-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111−ii−iii−ii−i
χ13111-11-1-1111111-1-1-1-1-1-1-1-1i−ii−i1−ii-1-111ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13111-11-1-1111111-1-1-1-1-1-1-1-1i−ii−i1−ii-1-111ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ14111-11-1-1111111-1-1-1-1-1-1-1-1i−ii−i1−ii-1-111ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13111-11-1-1111111-1-1-1-1-1-1-1-1i−ii−i1−ii-1-111ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ15111-11-1-1111111-1-1-1-1-1-1-1-1−ii−ii1i−i-1-111−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23111-11-1-1111111-1-1-1-1-1-1-1-1−ii−ii1i−i-1-111−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ16111-11-1-1111111-1-1-1-1-1-1-1-1−ii−ii1i−i-1-111−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23111-11-1-1111111-1-1-1-1-1-1-1-1−ii−ii1i−i-1-111−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ1722-12-1-1-12-1-12-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-10000000022-12-1-1-12-1-12-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1822-12-1-1-12-1-12-1-122-1-1-1-122-2-2-2-22-2-2-1-1-1-1111111110000000022-12-1-1-12-1-12-1-122-1-1-1-122-2-2-2-22-2-2-1-1-1-11111111100000000
χ1922-12-1-1-12-1-12-1-122-1-1-1-1-2-22i−2i2i−2i-22i−2i1111−i−i−i−iiiii0000000022-12-1-1-12-1-12-1-122-1-1-1-1-2-22i−2i2i−2i-22i−2i1111−i−i−i−iiiii00000000
χ2022-12-1-1-12-1-12-1-122-1-1-1-1-2-2−2i2i−2i2i-2−2i2i1111iiii−i−i−i−i0000000022-12-1-1-12-1-12-1-122-1-1-1-1-2-2−2i2i−2i2i-2−2i2i1111iiii−i−i−i−i00000000
χ2122-1-2-1112-1-12-1-1-2-21111222222-2-2-2-1-111-1-111-1-1110000000022-1-2-1112-1-12-1-1-2-21111222222-2-2-2-1-111-1-111-1-11100000000
χ2222-1-2-1112-1-12-1-1-2-2111122-2-2-2-2-222-1-11111-1-111-1-10000000022-1-2-1112-1-12-1-1-2-2111122-2-2-2-2-222-1-11111-1-111-1-100000000
χ2322-1-2-1112-1-12-1-1-2-21111-2-22i−2i2i−2i2−2i2i11-1-1−i−iiiii−i−i0000000022-1-2-1112-1-12-1-1-2-21111-2-22i−2i2i−2i2−2i2i11-1-1−i−iiiii−i−i00000000
χ2422-1-2-1112-1-12-1-1-2-21111-2-2−2i2i−2i2i22i−2i11-1-1ii−i−i−i−iii0000000022-1-2-1112-1-12-1-1-2-21111-2-2−2i2i−2i2i22i−2i11-1-1ii−i−i−i−iii00000000
χ252-220-200222-2-2-20000002-222-2-20002-2002-2002-200000000002-220-200222-2-2-20000002-222-2-20002-2002-2002-20000000000
χ262-220-200222-2-2-20000002-2-2-2220002-200-2200-2200000000002-220-200222-2-2-20000002-2-2-2220002-200-2200-220000000000
χ272-220-200222-2-2-2000000-222i−2i−2i2i000-22002i−2i00−2i2i00000000002-220-200222-2-2-2000000-222i−2i−2i2i000-22002i−2i00−2i2i0000000000
χ282-220-200222-2-2-2000000-22−2i2i2i−2i000-2200−2i2i002i−2i00000000002-220-200222-2-2-2000000-22−2i2i2i−2i000-2200−2i2i002i−2i0000000000
χ292-2-1013−32-1-1-2110033−3−32-222-2-2000-113−3-113−3-113−3000000002-2-1013−32-1-1-2110033−3−32-222-2-2000-113−3-113−3-113−300000000
χ302-2-1013−32-1-1-2110033−3−32-2-2-222000-113−31-1−331-1−33000000002-2-1013−32-1-1-2110033−3−32-2-2-222000-113−31-1−331-1−3300000000
χ312-2-1013−32-1-1-2110033−3−3-222i−2i−2i2i0001-1−33−iii3−i3i−i−i3i3000000002-2-1013−32-1-1-2110033−3−3-222i−2i−2i2i0001-1−33−iii3−i3i−i−i3i300000000
χ322-2-1013−32-1-1-2110033−3−3-22−2i2i2i−2i0001-1−33i−i−i3i3−iii3−i3000000002-2-1013−32-1-1-2110033−3−3-22−2i2i2i−2i0001-1−33i−i−i3i3−iii3−i300000000
χ332-2-101−332-1-1-21100−3−3332-222-2-2000-11−33-11−33-11−33000000002-2-101−332-1-1-21100−3−3332-222-2-2000-11−33-11−33-11−3300000000
χ342-2-101−332-1-1-21100−3−3332-2-2-222000-11−331-13−31-13−3000000002-2-101−332-1-1-21100−3−3332-2-2-222000-11−331-13−31-13−300000000
χ352-2-101−332-1-1-21100−3−333-222i−2i−2i2i0001-13−3−ii−i3i3i−ii3−i3000000002-2-101−332-1-1-21100−3−333-222i−2i−2i2i0001-13−3−ii−i3i3i−ii3−i300000000
χ362-2-101−332-1-1-21100−3−333-22−2i2i2i−2i0001-13−3i−ii3−i3−ii−i3i3000000002-2-101−332-1-1-21100−3−333-22−2i2i2i−2i0001-13−3i−ii3−i3−ii−i3i300000000
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
χ38888-88-8-8-1-1-1-1-1-111111100000000000000000000000000000888-88-8-8-1-1-1-1-1-111111100000000000000000000000000000
χ3988-48-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i320000000000000000000000000000088-48-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000
χ4088-48-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i320000000000000000000000000000088-48-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000
χ4188-4-8-444-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i320000000000000000000000000000088-4-8-444-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000
χ4288-4-8-444-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i320000000000000000000000000000088-4-8-444-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000
χ438-880-800-1-1-11113i−3i3i−3i−3i3i000000000000000000000000000008-880-800-1-1-11113i−3i3i−3i−3i3i00000000000000000000000000000
χ448-880-800-1-1-1111−3i3i−3i3i3i−3i000000000000000000000000000008-880-800-1-1-1111−3i3i−3i3i3i−3i00000000000000000000000000000
χ458-8-40443−43-11−3i321+3i321−1+3i32−1−3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000008-8-40443−43-11−3i321+3i321−1+3i32−1−3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ2200000000000000000000000000000
χ468-8-40443−43-11+3i321−3i321−1−3i32−1+3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000008-8-40443−43-11+3i321−3i321−1−3i32−1+3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ2200000000000000000000000000000
χ478-8-404−4343-11−3i321+3i321−1+3i32−1−3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000008-8-404−4343-11−3i321+3i321−1+3i32−1−3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ2200000000000000000000000000000
χ488-8-404−4343-11+3i321−3i321−1−3i32−1+3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000008-8-404−4343-11+3i321−3i321−1−3i32−1+3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ2200000000000000000000000000000
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
χ531111111111111111111-1-1i−ii−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−ii−ii1−ii1111−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13
χ541111111111111111111-1-1i−ii−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−ii−ii1−ii1111−i−i−i−iiiiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13
χ551111111111111111111-1-1−ii−ii-1−ii-1-1-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i1i−i1111iiii−i−i−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23
χ561111111111111111111-1-1−ii−ii-1−ii-1-1-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i1i−i1111iiii−i−i−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23
χ57111-11-1-1111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-11-11-11-11-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-111-1-111-11-11-11-11
χ58111-11-1-1111111-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-1-11-11-11-11-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-111-1-1111-11-11-11-1
χ59111-11-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111i−ii−i−ii−ii-1-1-11-111-1-1-1-1-1-1111111-1-111111-1-1-1-11111-1-111-1-1−ii−iii−ii−i
χ60111-11-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-111−ii−iii−ii−i-1-1-11-111-1-1-1-1-1-1111111-1-111111-1-1-1-11111-1-111-1-1i−ii−i−ii−ii
χ61111-11-1-1111111-1-1-1-1-1-1-1-1i−ii−i1−ii-1-111ii−i−i−i−iiiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13-1-1-11-111-1-1-1-1-1-111111111−ii−ii-1i−i11-1-1−i−iiiii−i−i−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ62111-11-1-1111111-1-1-1-1-1-1-1-1i−ii−i1−ii-1-111ii−i−i−i−iii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13-1-1-11-111-1-1-1-1-1-111111111−ii−ii-1i−i11-1-1−i−iiiii−i−iζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ63111-11-1-1111111-1-1-1-1-1-1-1-1−ii−ii1i−i-1-111−i−iiiii−i−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23-1-1-11-111-1-1-1-1-1-111111111i−ii−i-1−ii11-1-1ii−i−i−i−iiiζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ64111-11-1-1111111-1-1-1-1-1-1-1-1−ii−ii1i−i-1-111−i−iiiii−i−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23-1-1-11-111-1-1-1-1-1-111111111i−ii−i-1−ii11-1-1ii−i−i−i−iii−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ6522-12-1-1-12-1-12-1-122-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-21-2111-211-211-2-21111-2-2-2-2-2-2-2-2-211111111111100000000
χ6622-12-1-1-12-1-12-1-122-1-1-1-122-2-2-2-22-2-2-1-1-1-11111111100000000-2-21-2111-211-211-2-21111-2-22222-2221111-1-1-1-1-1-1-1-100000000
χ6722-12-1-1-12-1-12-1-122-1-1-1-1-2-22i−2i2i−2i-22i−2i1111−i−i−i−iiiii00000000-2-21-2111-211-211-2-2111122−2i2i−2i2i2−2i2i-1-1-1-1iiii−i−i−i−i00000000
χ6822-12-1-1-12-1-12-1-122-1-1-1-1-2-2−2i2i−2i2i-2−2i2i1111iiii−i−i−i−i00000000-2-21-2111-211-211-2-21111222i−2i2i−2i22i−2i-1-1-1-1−i−i−i−iiiii00000000
χ6922-1-2-1112-1-12-1-1-2-21111222222-2-2-2-1-111-1-111-1-11100000000-2-2121-1-1-211-21122-1-1-1-1-2-2-2-2-2-222211-1-111-1-111-1-100000000
χ7022-1-2-1112-1-12-1-1-2-2111122-2-2-2-2-222-1-11111-1-111-1-100000000-2-2121-1-1-211-21122-1-1-1-1-2-222222-2-211-1-1-1-111-1-11100000000
χ7122-1-2-1112-1-12-1-1-2-21111-2-22i−2i2i−2i2−2i2i11-1-1−i−iiiii−i−i00000000-2-2121-1-1-211-21122-1-1-1-122−2i2i−2i2i-22i−2i-1-111ii−i−i−i−iii00000000
χ7222-1-2-1112-1-12-1-1-2-21111-2-2−2i2i−2i2i22i−2i11-1-1ii−i−i−i−iii00000000-2-2121-1-1-211-21122-1-1-1-1222i−2i2i−2i-2−2i2i-1-111−i−iiiii−i−i00000000
χ732-220-200222-2-2-20000002-222-2-20002-2002-2002-20000000000-22-20200-2-2-2222000000-22-2-222000-2200-2200-220000000000
χ742-220-200222-2-2-20000002-2-2-2220002-200-2200-220000000000-22-20200-2-2-2222000000-2222-2-2000-22002-2002-20000000000
χ752-220-200222-2-2-2000000-222i−2i−2i2i000-22002i−2i00−2i2i0000000000-22-20200-2-2-22220000002-2−2i2i2i−2i0002-200−2i2i002i−2i0000000000
χ762-220-200222-2-2-2000000-22−2i2i2i−2i000-2200−2i2i002i−2i0000000000-22-20200-2-2-22220000002-22i−2i−2i2i0002-2002i−2i00−2i2i0000000000
χ772-2-1013−32-1-1-2110033−3−32-222-2-2000-113−3-113−3-113−300000000-2210-1−33-2112-1-100−3−333-22-2-2220001-1−331-1−331-1−3300000000
χ782-2-1013−32-1-1-2110033−3−32-2-2-222000-113−31-1−331-1−3300000000-2210-1−33-2112-1-100−3−333-2222-2-20001-1−33-113−3-113−300000000
χ792-2-1013−32-1-1-2110033−3−3-222i−2i−2i2i0001-1−33−iii3−i3i−i−i3i300000000-2210-1−33-2112-1-100−3−3332-2−2i2i2i−2i000-113−3i−i−i3i3−iii3−i300000000
χ802-2-1013−32-1-1-2110033−3−3-22−2i2i2i−2i0001-1−33i−i−i3i3−iii3−i300000000-2210-1−33-2112-1-100−3−3332-22i−2i−2i2i000-113−3−iii3−i3i−i−i3i300000000
χ812-2-101−332-1-1-21100−3−3332-222-2-2000-11−33-11−33-11−3300000000-2210-13−3-2112-1-10033−3−3-22-2-2220001-13−31-13−31-13−300000000
χ822-2-101−332-1-1-21100−3−3332-2-2-222000-11−331-13−31-13−300000000-2210-13−3-2112-1-10033−3−3-2222-2-20001-13−3-11−33-11−3300000000
χ832-2-101−332-1-1-21100−3−333-222i−2i−2i2i0001-13−3−ii−i3i3i−ii3−i300000000-2210-13−3-2112-1-10033−3−32-2−2i2i2i−2i000-11−33i−ii3−i3−ii−i3i300000000
χ842-2-101−332-1-1-21100−3−333-22−2i2i2i−2i0001-13−3i−ii3−i3−ii−i3i300000000-2210-13−3-2112-1-10033−3−32-22i−2i−2i2i000-11−33−ii−i3i3i−ii3−i300000000
χ858888888-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000-8-8-8-8-8-8-811111111111100000000000000000000000000000
χ86888-88-8-8-1-1-1-1-1-111111100000000000000000000000000000-8-8-88-888111111-1-1-1-1-1-100000000000000000000000000000
χ8788-48-4-4-4-11−3i321+3i32-11−3i321+3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000-8-84-84441−1+3i32−1−3i321−1+3i32−1−3i3211−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000
χ8888-48-4-4-4-11+3i321−3i32-11+3i321−3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000-8-84-84441−1−3i32−1+3i321−1−3i32−1+3i3211−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000
χ8988-4-8-444-11−3i321+3i32-11−3i321+3i3211−1+3i32−1−3i32−1+3i32−1−3i3200000000000000000000000000000-8-8484-4-41−1+3i32−1−3i321−1+3i32−1−3i32-1-11−3i321+3i321−3i321+3i3200000000000000000000000000000
χ9088-4-8-444-11+3i321−3i32-11+3i321−3i3211−1−3i32−1+3i32−1−3i32−1+3i3200000000000000000000000000000-8-8484-4-41−1−3i32−1+3i321−1−3i32−1+3i32-1-11+3i321−3i321+3i321−3i3200000000000000000000000000000
χ918-880-800-1-1-11113i−3i3i−3i−3i3i00000000000000000000000000000-88-80800111-1-1-1−3i3i−3i3i3i−3i00000000000000000000000000000
χ928-880-800-1-1-1111−3i3i−3i3i3i−3i00000000000000000000000000000-88-80800111-1-1-13i−3i3i−3i−3i3i00000000000000000000000000000
χ938-8-40443−43-11−3i321+3i321−1+3i32−1−3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ2200000000000000000000000000000-8840-4−43431−1+3i32−1−3i32-11−3i321+3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ2200000000000000000000000000000
χ948-8-40443−43-11+3i321−3i321−1−3i32−1+3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ2200000000000000000000000000000-8840-4−43431−1−3i32−1+3i32-11+3i321−3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ2200000000000000000000000000000
χ958-8-404−4343-11−3i321+3i321−1+3i32−1−3i32−3i3i−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ2200000000000000000000000000000-8840-443−431−1+3i32−1−3i32-11−3i321+3i323i−3i2ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ2200000000000000000000000000000
χ968-8-404−4343-11+3i321−3i321−1−3i32−1+3i323i−3iζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ2200000000000000000000000000000-8840-443−431−1−3i32−1+3i32-11+3i321−3i32−3i3i−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ2200000000000000000000000000000

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