Finite Group Databasebeta

← Group #13139029

Character table — Group #13139029

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order12224444366612121212882424242433666666121212121212121236661212121224242424242424242424242424242424222222444444666666888888121212121212242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111
χ91111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i111111-1-1-1-1-1-1111111i−ii−ii−i-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-1-1-1-1-1111111-1-1-1-1−iii−i−ii-1-11111ii−i−i−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111-1-111-1-111-1-111-1-1i−i−ii−ii11-1-111−i−iii−i−iiiii−i−i
χ121111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-1-1-111−ii−iii−i1111-1-1−i−iiiii−i−i−i−iii
χ131111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii111111-1-1-1-1-1-1111111−ii−ii−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ141111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-1-1-1-1-1111111-1-1-1-1i−i−iii−i-1-11111−i−iiiii−i−iii−i−i
χ151111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111-1-111-1-111-1-111-1-1−iii−ii−i11-1-111ii−i−iii−i−i−i−iii
χ161111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-1111111-1-1-1-1-1-111i−ii−i−ii1111-1-1ii−i−i−i−iiiii−i−i
χ1722222222222222222222222-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000220000220000-1-10000220000-1-10000-1-1-1-10000
χ1822222222222222222222222-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-20000-2-20000110000-2-2000011000011110000
χ192222222222222222222222-12-1-122-12-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220000220000-1-10022000000-1-10000000000-1-1-1-1
χ202222222222222222222222-12-1-122-12-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-200001100-2-20000001100000000001111
χ212222222222222222-2-2-2-2-2-22-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111110000220000220000-1-10000-2-20000-1-1000011110000
χ222222222222222222-2-2-2-2-2-22-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111110000-2-20000-2-20000110000220000110000-1-1-1-10000
χ232222222222222222-2-2-2-2-2-2-12-1-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100220000220000-1-100-2-2000000-1-100000000001111
χ242222222222222222-2-2-2-2-2-2-12-1-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100-2-20000-2-20000110022000000110000000000-1-1-1-1
χ252222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-122-1-12-1-2-21111-2-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000220000-2-20000-1-100002i−2i0000110000−i−iii0000
χ262222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-122-1-12-1-2-21111-2-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000-2-20000220000110000−2i2i0000-1-10000ii−i−i0000
χ272222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-1-122-1211-2-2-2-211-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00220000-2-20000-1-1002i−2i000000110000000000−i−iii
χ282222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-1-122-1211-2-2-2-211-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii00-2-200002200001100−2i2i000000-1-10000000000ii−i−i
χ292222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-122-1-12-1-2-21111-2-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000220000-2-20000-1-10000−2i2i0000110000ii−i−i0000
χ302222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-122-1-12-1-2-21111-2-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000-2-200002200001100002i−2i0000-1-10000−i−iii0000
χ312222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-1-122-1211-2-2-2-211-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00220000-2-20000-1-100−2i2i000000110000000000ii−i−i
χ322222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-1-122-1211-2-2-2-211-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i00-2-2000022000011002i−2i000000-1-10000000000−i−iii
χ3322-2-22i−2i2i−2i22-2-22i−2i2i−2i000000222-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i000000000000000000002-200002i−2i00002-200000000002i−2i000000000000
χ3422-2-22i−2i2i−2i22-2-22i−2i2i−2i000000222-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i00000000000000000000-220000−2i2i0000-220000000000−2i2i000000000000
χ3522-2-22i−2i2i−2i22-2-22i−2i2i−2i0000002-12-2-11-212i−2i−ii−ii2i−2i-1-111−ii−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300002-200002i−2i0000-110000000000−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ3622-2-22i−2i2i−2i22-2-22i−2i2i−2i0000002-12-2-11-212i−2i−ii−ii2i−2i-1-111−ii−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000-220000−2i2i00001-10000000000i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ3722-2-22i−2i2i−2i22-2-22i−2i2i−2i0000002-12-2-11-212i−2i−ii−ii2i−2i-1-111−ii−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300002-200002i−2i0000-110000000000−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ3822-2-22i−2i2i−2i22-2-22i−2i2i−2i0000002-12-2-11-212i−2i−ii−ii2i−2i-1-111−ii−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000-220000−2i2i00001-10000000000i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ3922-2-2−2i2i−2i2i22-2-2−2i2i−2i2i000000222-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i000000000000000000002-20000−2i2i00002-20000000000−2i2i000000000000
χ4022-2-2−2i2i−2i2i22-2-2−2i2i−2i2i000000222-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i00000000000000000000-2200002i−2i0000-2200000000002i−2i000000000000
χ4122-2-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-12-2-11-21−2i2ii−ii−i−2i2i-1-111i−ii−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300002-20000−2i2i0000-110000000000i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ4222-2-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-12-2-11-21−2i2ii−ii−i−2i2i-1-111i−ii−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000-2200002i−2i00001-10000000000−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ4322-2-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-12-2-11-21−2i2ii−ii−i−2i2i-1-111i−ii−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300002-20000−2i2i0000-110000000000i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ4422-2-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-12-2-11-21−2i2ii−ii−i−2i2i-1-111i−ii−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000-2200002i−2i00001-10000000000−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ452-22-22i−2i−2i2i2-22-22i−2i−2i2i00000022-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i2i−2i00000000000000002-200002i−2i00002-200000000002i−2i0000000000000000
χ462-22-22i−2i−2i2i2-22-22i−2i−2i2i00000022-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i2i−2i0000000000000000-220000−2i2i0000-220000000000−2i2i0000000000000000
χ472-22-2−2i2i2i−2i2-22-2−2i2i2i−2i00000022-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-22i−2i−2i2i00000000000000002-20000−2i2i00002-20000000000−2i2i0000000000000000
χ482-22-2−2i2i2i−2i2-22-2−2i2i2i−2i00000022-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-22i−2i−2i2i0000000000000000-2200002i−2i0000-2200000000002i−2i0000000000000000
χ492-2-2222-2-22-2-2222-2-200000022-2-2-2-222-2-222-2-2222-2-22-2-2220000000000000000002-200002-200002-200000000002-200000000000000
χ502-2-2222-2-22-2-2222-2-200000022-2-2-2-222-2-222-2-2222-2-22-2-222000000000000000000-220000-220000-220000000000-2200000000000000
χ512-2-2222-2-22-2-2222-2-2000000-1211-2-2-121122-2-2-1-1-111-111-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3002-200002-20000-110000000000-110000000000−i3i3−i3i3
χ522-2-2222-2-22-2-2222-2-2000000-1211-2-2-121122-2-2-1-1-111-111-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300-220000-2200001-100000000001-10000000000i3−i3i3−i3
χ532-2-2222-2-22-2-2222-2-2000000-1211-2-2-121122-2-2-1-1-111-111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3002-200002-20000-110000000000-110000000000i3−i3i3−i3
χ542-2-2222-2-22-2-2222-2-2000000-1211-2-2-121122-2-2-1-1-111-111-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300-220000-2200001-100000000001-10000000000−i3i3−i3i3
χ552-2-22-2-2222-2-22-2-22200000022-2-2-2-22222-2-222-2-22-2-2222-2-20000000000000000002-20000-2200002-20000000000-2200000000000000
χ562-2-22-2-2222-2-22-2-22200000022-2-2-2-22222-2-222-2-22-2-2222-2-2000000000000000000-2200002-20000-2200000000002-200000000000000
χ572-2-22-2-2222-2-22-2-222000000-1211-2-2-12-1-1-2-22211-111-1-1-11100003−3−333−33−3−33−33002-20000-220000-1100000000001-100000000003−3−33
χ582-2-22-2-2222-2-22-2-222000000-1211-2-2-12-1-1-2-22211-111-1-1-11100003−3−333−33−3−33−3300-2200002-200001-10000000000-110000000000−333−3
χ592-2-22-2-2222-2-22-2-222000000-1211-2-2-12-1-1-2-22211-111-1-1-1110000−333−3−33−333−33−3002-20000-220000-1100000000001-10000000000−333−3
χ602-2-22-2-2222-2-22-2-222000000-1211-2-2-12-1-1-2-22211-111-1-1-1110000−333−3−33−333−33−300-2200002-200001-10000000000-1100000000003−3−33
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ634444-4-4-4-44444-4-4-4-44i−4i4i4i−4i−4i-2-2-2-2-2-2-2-2222222221111-1-1-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ644444-4-4-4-44444-4-4-4-4−4i4i−4i−4i4i4i-2-2-2-2-2-2-2-2222222221111-1-1-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
χ6544-4-44i−4i4i−4i44-4-44i−4i4i−4i000000-24-224-42-4−2i2i4i−4i4i−4i−2i2i-2-222−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ6644-4-44i−4i4i−4i44-4-44i−4i4i−4i000000-2-2-22-2222−2i2i−2i2i−2i2i−2i2i11-1-1i−ii−i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ6744-4-44i−4i4i−4i44-4-44i−4i4i−4i000000-2-2-22-2222−2i2i−2i2i−2i2i−2i2i11-1-1i−ii−i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ6844-4-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-24-224-42-42i−2i−4i4i−4i4i2i−2i-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ6944-4-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-2-2-22-22222i−2i2i−2i2i−2i2i−2i11-1-1−ii−ii2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000000000000000000000
χ7044-4-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-2-2-22-22222i−2i2i−2i2i−2i2i−2i11-1-1−ii−ii−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000000000000000000000
χ714-44-44i−4i−4i4i4-44-44i−4i−4i4i0000004-2-442-2-42−4i4i−2i2i2i−2i4i−4i-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ724-44-44i−4i−4i4i4-44-44i−4i−4i4i000000-242-2-442-42i−2i4i−4i−4i4i−2i2i-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ734-44-44i−4i−4i4i4-44-44i−4i−4i4i000000-2-22-22-2222i−2i−2i2i2i−2i−2i2i1-11-1−iii−i000000003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000000000
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χ754-44-4−4i4i4i−4i4-44-4−4i4i4i−4i0000004-2-442-2-424i−4i2i−2i−2i2i−4i4i-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ764-44-4−4i4i4i−4i4-44-4−4i4i4i−4i000000-242-2-442-4−2i2i−4i4i4i−4i2i−2i-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ774-44-4−4i4i4i−4i4-44-4−4i4i4i−4i000000-2-22-22-222−2i2i2i−2i−2i2i2i−2i1-11-1i−i−ii00000000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000
χ784-44-4−4i4i4i−4i4-44-4−4i4i4i−4i000000-2-22-22-222−2i2i2i−2i−2i2i2i−2i1-11-1i−i−ii000000003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000000000
χ794-4-4444-4-44-4-4444-4-40000004-2-4-4224-2-4-4-2-22244-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ804-4-4444-4-44-4-4444-4-4000000-2-22222-2-222-2-222-2-21-1-11-1-1110000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ814-4-4444-4-44-4-4444-4-4000000-2-22222-2-222-2-222-2-21-1-11-1-11100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ824-4-44-4-4444-4-44-4-4440000004-2-4-4224-24422-2-2-4-4-222-2-2-2220000000000000000000000000000000000000000000000000000000000
χ834-4-44-4-4444-4-44-4-444000000-2-22222-2-2-2-222-2-2221-1-1111-1-1000023−23−2323−33−333−33−3000000000000000000000000000000000000000000
χ844-4-44-4-4444-4-44-4-444000000-2-22222-2-2-2-222-2-2221-1-1111-1-10000−232323−233−33−3−33−33000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000220000220000-1-10000002200-1-10000-1-1-1-100000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000-2-20000-2-2000011000000-2-200110000111100000000
χ8766666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000220000220000-1-1000000-2-200-1-10000111100000000
χ8866666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000-2-20000-2-20000110000002200110000-1-1-1-100000000
χ896666-6-6-6-6-3-3-3-333336i−6i−3i−3i3i3i0000000000000000000000000000000000000000220000-2-20000-1-10000002i−2i00110000−i−iii00000000
χ906666-6-6-6-6-3-3-3-333336i−6i−3i−3i3i3i0000000000000000000000000000000000000000-2-2000022000011000000−2i2i00-1-10000ii−i−i00000000
χ916666-6-6-6-6-3-3-3-33333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000220000-2-20000-1-1000000−2i2i00110000ii−i−i00000000
χ926666-6-6-6-6-3-3-3-33333−6i6i3i3i−3i−3i0000000000000000000000000000000000000000-2-20000220000110000002i−2i00-1-10000−i−iii00000000
χ936-66-66i−6i−6i6i-33-33−3i3i3i−3i00−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ1300000000000000000000000000000000000000002-200002i−2i0000-110000000000−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ946-66-66i−6i−6i6i-33-33−3i3i3i−3i00−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ130000000000000000000000000000000000000000-220000−2i2i00001-10000000000i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ956-66-66i−6i−6i6i-33-33−3i3i3i−3i003ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ1300000000000000000000000000000000000000002-200002i−2i0000-110000000000−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ966-66-66i−6i−6i6i-33-33−3i3i3i−3i003ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ130000000000000000000000000000000000000000-220000−2i2i00001-10000000000i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ976-66-6−6i6i6i−6i-33-333i−3i−3i3i003ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ2300000000000000000000000000000000000000002-20000−2i2i0000-110000000000i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ986-66-6−6i6i6i−6i-33-333i−3i−3i3i003ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ230000000000000000000000000000000000000000-2200002i−2i00001-10000000000−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ996-66-6−6i6i6i−6i-33-333i−3i−3i3i00−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ2300000000000000000000000000000000000000002-20000−2i2i0000-110000000000i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ1006-66-6−6i6i6i−6i-33-333i−3i−3i3i00−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ230000000000000000000000000000000000000000-2200002i−2i00001-10000000000−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ1011212-12-1212i−12i12i−12i-6-666−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12−12i12i−12i12i-6-6666i−6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-12121212-12-12-666-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212-12-121212-666-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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