Finite Group Databasebeta

← Group #13137373

Character table — Group #13137373

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222444436661212121244121212123366666612121212121212123666121212121212121212121212121212121212121222448888888824666688881212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i1-11111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii1-11111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11-1-1-1-1i−i−ii1111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11-1-1-1-1−iii−i1111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-1111-1-1−ii−ii-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii-1111-1-1i−ii−i-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1-1-111−iii−i11-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1-1-111i−i−ii11-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222222222-1222-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000000022-1-1-1-10000-1-1-1-10000000000000000
χ1822222222222222222222222-1222-1-1-122-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-21111000011110000000000000000
χ192222222222222222222222-12-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-10000000022220000000022000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000-2-200000000000011111111
χ212222222222222222-2-2-2-2-2-22-1222-1-1-122-1-1-1-122-1-1-1-1-2-211-2-211-1-1-1-111111111222200000000-2-2-1-1110000-1-1110000000000000000
χ222222222222222222-2-2-2-2-2-22-1222-1-1-122-1-1-1-122-1-1-1-1-2-211-2-211-1-1-1-111111111-2-2-2-2000000002211-1-1000011-1-10000000000000000
χ232222222222222222-2-2-2-2-2-2-12-1-1-1222-1-12222-1-1-1-1-1-111-2-211-2-2-1-1-1-11111111100000000222200000000-2-2000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-1-1222-1-12222-1-1-1-1-1-111-2-211-2-2-1-1-1-11111111100000000-2-2-2-200000000220000000000001111-1-1-1-1
χ252222-2-2-2-22222-2-2-2-22-222-2-22-1222-1-1-1-2-21111-2-2-1-1-1-122-1-1-2-2111111-1-1-1-1111122-2-2000000002-2-1-1-1-1000011110000000000000000
χ262222-2-2-2-22222-2-2-2-22-222-2-22-1222-1-1-1-2-21111-2-2-1-1-1-122-1-1-2-2111111-1-1-1-11111-2-22200000000-2211110000-1-1-1-10000000000000000
χ272222-2-2-2-22222-2-2-2-22-222-2-2-12-1-1-122211-2-2-2-211-1-1-1-1-1-12211-2-21111-1-1-1-11111000000002i2i−2i−2i000000002i−2i000000000000−i−iii−i−iii
χ282222-2-2-2-22222-2-2-2-22-222-2-2-12-1-1-122211-2-2-2-211-1-1-1-1-1-12211-2-21111-1-1-1-1111100000000−2i−2i2i2i00000000−2i2i000000000000ii−i−iii−i−i
χ292222-2-2-2-22222-2-2-2-2-22-2-2222-1222-1-1-1-2-21111-2-2-1-1-1-1-2-21122-1-111111111-1-1-1-122-2-200000000-22-1-111000011-1-10000000000000000
χ302222-2-2-2-22222-2-2-2-2-22-2-2222-1222-1-1-1-2-21111-2-2-1-1-1-1-2-21122-1-111111111-1-1-1-1-2-222000000002-211-1-10000-1-1110000000000000000
χ312222-2-2-2-22222-2-2-2-2-22-2-222-12-1-1-122211-2-2-2-211-1-1-1-111-2-2-1-12211111111-1-1-1-1000000002i2i−2i−2i00000000−2i2i000000000000−i−iiiii−i−i
χ322222-2-2-2-22222-2-2-2-2-22-2-222-12-1-1-122211-2-2-2-211-1-1-1-111-2-2-1-12211111111-1-1-1-100000000−2i−2i2i2i000000002i−2i000000000000ii−i−i−i−iii
χ3322-2-22i−2i2i−2i22-2-22i2i−2i−2i000000222-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-2000000002i2i−2i−2i000000002-22i−2i00000000002-20000002i−2i000000000000000000
χ3422-2-22i−2i2i−2i22-2-22i2i−2i−2i000000222-2-22-2-22i−2i2i2i−2i−2i2i−2i22-2-2000000002i2i−2i−2i00000000-22−2i2i0000000000-22000000−2i2i000000000000000000
χ3522-2-22i−2i2i−2i22-2-22i2i−2i−2i0000002-12-2-2-1112i−2i−i−iii2i−2i-1-11100−i3i3003−3−i−iii−i3−i3i3i333−3−32-22i−2i0000000000-11−i3i30000−ii3−30000000000000000
χ3622-2-22i−2i2i−2i22-2-22i2i−2i−2i0000002-12-2-2-1112i−2i−i−iii2i−2i-1-11100−i3i3003−3−i−iii−i3−i3i3i333−3−3-22−2i2i00000000001-1i3−i30000i−i−330000000000000000
χ3722-2-22i−2i2i−2i22-2-22i2i−2i−2i0000002-12-2-2-1112i−2i−i−iii2i−2i-1-11100i3−i300−33−i−iiii3i3−i3−i3−3−3332-22i−2i0000000000-11i3−i30000−ii−330000000000000000
χ3822-2-22i−2i2i−2i22-2-22i2i−2i−2i0000002-12-2-2-1112i−2i−i−iii2i−2i-1-11100i3−i300−33−i−iiii3i3−i3−i3−3−333-22−2i2i00000000001-1−i3i30000i−i3−30000000000000000
χ3922-2-2−2i2i−2i2i22-2-2−2i−2i2i2i000000222-2-22-2-2−2i2i−2i−2i2i2i−2i2i22-2-200000000−2i−2i2i2i000000002-2−2i2i00000000002-2000000−2i2i000000000000000000
χ4022-2-2−2i2i−2i2i22-2-2−2i−2i2i2i000000222-2-22-2-2−2i2i−2i−2i2i2i−2i2i22-2-200000000−2i−2i2i2i00000000-222i−2i0000000000-220000002i−2i000000000000000000
χ4122-2-2−2i2i−2i2i22-2-2−2i−2i2i2i0000002-12-2-2-111−2i2iii−i−i−2i2i-1-11100−i3i300−33ii−i−i−i3−i3i3i3−3−3332-2−2i2i0000000000-11−i3i30000i−i−330000000000000000
χ4222-2-2−2i2i−2i2i22-2-2−2i−2i2i2i0000002-12-2-2-111−2i2iii−i−i−2i2i-1-11100−i3i300−33ii−i−i−i3−i3i3i3−3−333-222i−2i00000000001-1i3−i30000−ii3−30000000000000000
χ4322-2-2−2i2i−2i2i22-2-2−2i−2i2i2i0000002-12-2-2-111−2i2iii−i−i−2i2i-1-11100i3−i3003−3ii−i−ii3i3−i3−i333−3−32-2−2i2i0000000000-11i3−i30000i−i3−30000000000000000
χ4422-2-2−2i2i−2i2i22-2-2−2i−2i2i2i0000002-12-2-2-111−2i2iii−i−i−2i2i-1-11100i3−i3003−3ii−i−ii3i3−i3−i333−3−3-222i−2i00000000001-1−i3i30000−ii−330000000000000000
χ452-22-22i−2i−2i2i2-22-22i−2i2i−2i00000022-22-2-22-22i−2i2i−2i2i−2i−2i2i2-22-2000000002i−2i2i−2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ462-22-22i−2i−2i2i2-22-22i−2i2i−2i00000022-22-2-22-22i−2i2i−2i2i−2i−2i2i2-22-2000000002i−2i2i−2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ472-22-22i−2i−2i2i2-22-22i−2i2i−2i000000-121-11-22-2−ii2i−2i2i−2ii−i-11-113−300−i3i300−ii−ii3−33−3−i3i3−i3i300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ482-22-22i−2i−2i2i2-22-22i−2i2i−2i000000-121-11-22-2−ii2i−2i2i−2ii−i-11-113−300−i3i300−ii−ii3−33−3−i3i3−i3i3000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ492-22-22i−2i−2i2i2-22-22i−2i2i−2i000000-121-11-22-2−ii2i−2i2i−2ii−i-11-11−3300i3−i300−ii−ii−33−33i3−i3i3−i300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ502-22-22i−2i−2i2i2-22-22i−2i2i−2i000000-121-11-22-2−ii2i−2i2i−2ii−i-11-11−3300i3−i300−ii−ii−33−33i3−i3i3−i3000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ512-22-2−2i2i2i−2i2-22-2−2i2i−2i2i00000022-22-2-22-2−2i2i−2i2i−2i2i2i−2i2-22-200000000−2i2i−2i2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ522-22-2−2i2i2i−2i2-22-2−2i2i−2i2i00000022-22-2-22-2−2i2i−2i2i−2i2i2i−2i2-22-200000000−2i2i−2i2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ532-22-2−2i2i2i−2i2-22-2−2i2i−2i2i000000-121-11-22-2i−i−2i2i−2i2i−ii-11-113−300i3−i300i−ii−i3−33−3i3−i3i3−i3000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ542-22-2−2i2i2i−2i2-22-2−2i2i−2i2i000000-121-11-22-2i−i−2i2i−2i2i−ii-11-113−300i3−i300i−ii−i3−33−3i3−i3i3−i300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ552-22-2−2i2i2i−2i2-22-2−2i2i−2i2i000000-121-11-22-2i−i−2i2i−2i2i−ii-11-11−3300−i3i300i−ii−i−33−33−i3i3−i3i3000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ562-22-2−2i2i2i−2i2-22-2−2i2i−2i2i000000-121-11-22-2i−i−2i2i−2i2i−ii-11-11−3300−i3i300i−ii−i−33−33−i3i3−i3i300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ572-2-2222-2-22-2-222-2-2200000022-2-22-2-22222-2-22-2-22-2-22000000002-2-220000000000002i−2i2i−2i0000000000000000002i−2i2i−2i000000000000
χ582-2-2222-2-22-2-222-2-2200000022-2-22-2-22222-2-22-2-22-2-22000000002-2-22000000000000−2i2i−2i2i000000000000000000−2i2i−2i2i000000000000
χ592-2-22-2-2222-2-22-222-200000022-2-22-2-22-2-2-222-2222-2-2200000000-222-20000000000002-2-220000000000000000002-2-22000000000000
χ602-2-22-2-2222-2-22-222-200000022-2-22-2-22-2-2-222-2222-2-2200000000-222-2000000000000-222-2000000000000000000-222-2000000000000
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ634444-4-4-4-44444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-2222222221111-2-2-2-22222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ644444-4-4-4-44444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-22222222211112222-2-2-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ6544-4-44i−4i4i−4i44-4-44i4i−4i−4i000000-24-2224-4-4−2i2i4i4i−4i−4i−2i2i-2-22200000000−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ6644-4-44i−4i4i−4i44-4-44i4i−4i−4i000000-2-2-222-222−2i2i−2i−2i2i2i−2i2i11-1-100−2i32i30023−23ii−i−ii3i3−i3−i3−3−333000000000000000000000000000000000000000000
χ6744-4-44i−4i4i−4i44-4-44i4i−4i−4i000000-2-2-222-222−2i2i−2i−2i2i2i−2i2i11-1-1002i3−2i300−2323ii−i−i−i3−i3i3i333−3−3000000000000000000000000000000000000000000
χ6844-4-4−4i4i−4i4i44-4-4−4i−4i4i4i000000-24-2224-4-42i−2i−4i−4i4i4i2i−2i-2-222000000002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ6944-4-4−4i4i−4i4i44-4-4−4i−4i4i4i000000-2-2-222-2222i−2i2i2i−2i−2i2i−2i11-1-100−2i32i300−2323−i−iiii3i3−i3−i333−3−3000000000000000000000000000000000000000000
χ7044-4-4−4i4i−4i4i44-4-4−4i−4i4i4i000000-2-2-222-2222i−2i2i2i−2i−2i2i−2i11-1-1002i3−2i30023−23−i−iii−i3−i3i3i3−3−333000000000000000000000000000000000000000000
χ714-44-44i−4i−4i4i4-44-44i−4i4i−4i0000004-2-44-42-224i−4i−2i2i−2i2i−4i4i-22-2200000000−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ724-44-44i−4i−4i4i4-44-44i−4i4i−4i000000-2-22-222-22−2i2i−2i2i−2i2i2i−2i1-11-123−2300−2i32i300i−ii−i−33−33i3−i3i3−i3000000000000000000000000000000000000000000
χ734-44-44i−4i−4i4i4-44-44i−4i4i−4i000000-2-22-222-22−2i2i−2i2i−2i2i2i−2i1-11-1−2323002i3−2i300i−ii−i3−33−3−i3i3−i3i3000000000000000000000000000000000000000000
χ744-44-4−4i4i4i−4i4-44-4−4i4i−4i4i0000004-2-44-42-22−4i4i2i−2i2i−2i4i−4i-22-22000000002i−2i2i−2i00000000000000000000000000000000000000000000000000
χ754-44-4−4i4i4i−4i4-44-4−4i4i−4i4i000000-2-22-222-222i−2i2i−2i2i−2i−2i2i1-11-123−23002i3−2i300−ii−ii−33−33−i3i3−i3i3000000000000000000000000000000000000000000
χ764-44-4−4i4i4i−4i4-44-4−4i4i−4i4i000000-2-22-222-222i−2i2i−2i2i−2i−2i2i1-11-1−232300−2i32i300−ii−ii3−33−3i3−i3i3−i3000000000000000000000000000000000000000000
χ774-4-4444-4-44-4-444-4-440000004-2-4-4422-244-222-2-4-4-222-200000000-222-200000000000000000000000000000000000000000000000000
χ784-4-4444-4-44-4-444-4-44000000-2422-2-4-44-2-24-4-4422-222-200000000-222-200000000000000000000000000000000000000000000000000
χ794-4-4444-4-44-4-444-4-44000000-2-222-222-2-2-2-222-2221-1-11000000001-1-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ804-4-4444-4-44-4-444-4-44000000-2-222-222-2-2-2-222-2221-1-11000000001-1-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ814-4-44-4-4444-4-44-444-40000004-2-4-4422-2-4-42-2-2244-222-2000000002-2-2200000000000000000000000000000000000000000000000000
χ824-4-44-4-4444-4-44-444-4000000-2422-2-4-4422-444-4-2-2-222-2000000002-2-2200000000000000000000000000000000000000000000000000
χ834-4-44-4-4444-4-44-444-4000000-2-222-222-2222-2-22-2-21-1-1100000000-111-13i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000
χ844-4-44-4-4444-4-44-444-4000000-2-222-222-2222-2-22-2-21-1-1100000000-111-1−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000002222000000000022000000-1-1-1-1-1-1-1-100000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000000000000-2-2-2-20000000000-2-20000001111111100000000
χ8766666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000000022220000000000-2-2000000-1-1-1-1111100000000
χ8866666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000-2-2-2-20000000000220000001111-1-1-1-100000000
χ896666-6-6-6-6-3-3-3-333336-6-3-333000000000000000000000000000000000000000000002i2i−2i−2i00000000002i−2i000000−i−iii−i−iii00000000
χ906666-6-6-6-6-3-3-3-333336-6-3-33300000000000000000000000000000000000000000000−2i−2i2i2i0000000000−2i2i000000ii−i−iii−i−i00000000
χ916666-6-6-6-6-3-3-3-33333-6633-3-3000000000000000000000000000000000000000000002i2i−2i−2i0000000000−2i2i000000−i−iiiii−i−i00000000
χ926666-6-6-6-6-3-3-3-33333-6633-3-300000000000000000000000000000000000000000000−2i−2i2i2i00000000002i−2i000000ii−i−i−i−iii00000000
χ936-6-6666-6-6-333-3-333-30033−3333−33000000000000000000000000000000000000000000002i−2i2i−2i000000000000000000−ii−ii−i3i3−i3i300000000
χ946-6-6666-6-6-333-3-333-30033−3333−3300000000000000000000000000000000000000000000−2i2i−2i2i000000000000000000i−ii−ii3−i3i3−i300000000
χ956-6-6666-6-6-333-3-333-300−3333−3333000000000000000000000000000000000000000000002i−2i2i−2i000000000000000000−ii−iii3−i3i3−i300000000
χ966-6-6666-6-6-333-3-333-300−3333−333300000000000000000000000000000000000000000000−2i2i−2i2i000000000000000000i−ii−i−i3i3−i3i300000000
χ976-6-66-6-666-333-33-3-330033−33−3333000000000000000000000000000000000000000000002-2-22000000000000000000-111-1−333−300000000
χ986-6-66-6-666-333-33-3-330033−33−333300000000000000000000000000000000000000000000-222-20000000000000000001-1-113−3−3300000000
χ996-6-66-6-666-333-33-3-3300−333333−33000000000000000000000000000000000000000000002-2-22000000000000000000-111-13−3−3300000000
χ1006-6-66-6-666-333-33-3-3300−333333−3300000000000000000000000000000000000000000000-222-20000000000000000001-1-11−333−300000000
χ1011212-12-1212i−12i12i−12i-6-666−6i−6i6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12−12i12i−12i12i-6-6666i6i−6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-1212i−12i−12i12i-66-66−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-1212-12−12i12i12i−12i-66-666i−6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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