Finite Group Databasebeta

← Group #13139958

Character table — Group #13139958

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222444436661212121224661212336666661212121212121212366666666666121212121212121212121212444488888888448888121212121212121224242424242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-11111-1-1-1-11-111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1ii−i−iii−i−i-11−ii−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-1111111-1-1−i−iii−i−iii-11i−ii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-11111-1-1-1-1-11-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-111−i−iiiii−i−i1-1i−i−ii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222222222222-1222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1222200000000220000-1-1-1-1-1-1-1-10000000000000000
χ1822222222222222222222222-1222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111111110000000000000000
χ192222222222222222222222-12-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000022220000220000000000000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000000011111111
χ212222222222222222-2-2-2-2-2-22-1222-1-1-1-1-1-1-12222-1-2-211-1-11111-1-2-211-1-1-1-11111222200000000-2-20000-1-1-1-111110000000000000000
χ222222222222222222-2-2-2-2-2-22-1222-1-1-1-1-1-1-12222-1-2-211-1-11111-1-2-211-1-1-1-11111-2-2-2-2000000002200001111-1-1-1-10000000000000000
χ232222222222222222-2-2-2-2-2-2-12-1-1-12222222-1-1-1-1-111-2-2-1-11111-111-2-2-1-1-1-111110000000022220000-2-20000000000000000-1-1-1-11111
χ242222222222222222-2-2-2-2-2-2-12-1-1-12222222-1-1-1-1-111-2-2-1-11111-111-2-2-1-1-1-1111100000000-2-2-2-200002200000000000000001111-1-1-1-1
χ252222-2-2-2-22222-2-2-2-22-222-2-22-1222-1-1-11111-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-2111111111122-2-2000000002-20000-1-111-1-1110000000000000000
χ262222-2-2-2-22222-2-2-2-22-222-2-22-1222-1-1-11111-2-2-2-2-122-1-1-1-1-1-1-1-1-1-2-21111111111-2-22200000000-22000011-1-111-1-10000000000000000
χ272222-2-2-2-22222-2-2-2-22-222-2-2-12-1-1-1222-2-2-2-21111-1-1-122-1-1-1-1-1-1-111-2-211111111000000002i2i−2i−2i00002i−2i0000000000000000−i−iii−i−iii
χ282222-2-2-2-22222-2-2-2-22-222-2-2-12-1-1-1222-2-2-2-21111-1-1-122-1-1-1-1-1-1-111-2-21111111100000000−2i−2i2i2i0000−2i2i0000000000000000ii−i−iii−i−i
χ292222-2-2-2-22222-2-2-2-2-22-2-2222-1222-1-1-11111-2-2-2-2-1-2-211-1-11111-122-1-11111-1-1-1-122-2-200000000-220000-1-11111-1-10000000000000000
χ302222-2-2-2-22222-2-2-2-2-22-2-2222-1222-1-1-11111-2-2-2-2-1-2-211-1-11111-122-1-11111-1-1-1-1-2-222000000002-2000011-1-1-1-1110000000000000000
χ312222-2-2-2-22222-2-2-2-2-22-2-222-12-1-1-1222-2-2-2-21111-111-2-2-1-11111-1-1-1221111-1-1-1-1000000002i2i−2i−2i0000−2i2i0000000000000000−i−iiiii−i−i
χ322222-2-2-2-22222-2-2-2-2-22-2-222-12-1-1-1222-2-2-2-21111-111-2-2-1-11111-1-1-1221111-1-1-1-100000000−2i−2i2i2i00002i−2i0000000000000000ii−i−i−i−iii
χ3322-2-222-2-22-2-2222-2-200000022-2-222-2-222-2-222-2-220000-2-200002000022-2-200002i−2i2i−2i000000000000002i−2i2i−2i00000000000000000000
χ3422-2-222-2-22-2-2222-2-200000022-2-222-2-222-2-222-2-220000-2-200002000022-2-20000−2i2i−2i2i00000000000000−2i2i−2i2i00000000000000000000
χ3522-2-222-2-22-2-2222-2-20000002-1-2-22-111-1-11122-2-2-100−i3i311−i3−i3i3i3-100−i3i3-1-111−i3−i3i3i32i−2i2i−2i00000000000000−ii−ii3−33−30000000000000000
χ3622-2-222-2-22-2-2222-2-20000002-1-2-22-111-1-11122-2-2-100−i3i311−i3−i3i3i3-100−i3i3-1-111−i3−i3i3i3−2i2i−2i2i00000000000000i−ii−i−33−330000000000000000
χ3722-2-222-2-22-2-2222-2-20000002-1-2-22-111-1-11122-2-2-100i3−i311i3i3−i3−i3-100i3−i3-1-111i3i3−i3−i32i−2i2i−2i00000000000000−ii−ii−33−330000000000000000
χ3822-2-222-2-22-2-2222-2-20000002-1-2-22-111-1-11122-2-2-100i3−i311i3i3−i3−i3-100i3−i3-1-111i3i3−i3−i3−2i2i−2i2i00000000000000i−ii−i3−33−30000000000000000
χ3922-2-2-2-2222-2-22-2-22200000022-2-222-2-2-2-222-2-22220000-2-2000020000-2-22200002i−2i−2i2i000000000000002i−2i−2i2i00000000000000000000
χ4022-2-2-2-2222-2-22-2-22200000022-2-222-2-2-2-222-2-22220000-2-2000020000-2-2220000−2i2i2i−2i00000000000000−2i2i2i−2i00000000000000000000
χ4122-2-2-2-2222-2-22-2-2220000002-1-2-22-11111-1-1-2-222-100−i3i311−i3−i3i3i3-100i3−i311-1-1i3i3−i3−i32i−2i−2i2i00000000000000−iii−i3−3−330000000000000000
χ4222-2-2-2-2222-2-22-2-2220000002-1-2-22-11111-1-1-2-222-100−i3i311−i3−i3i3i3-100i3−i311-1-1i3i3−i3−i3−2i2i2i−2i00000000000000i−i−ii−333−30000000000000000
χ4322-2-2-2-2222-2-22-2-2220000002-1-2-22-11111-1-1-2-222-100i3−i311i3i3−i3−i3-100−i3i311-1-1−i3−i3i3i32i−2i−2i2i00000000000000−iii−i−333−30000000000000000
χ4422-2-2-2-2222-2-22-2-2220000002-1-2-22-11111-1-1-2-222-100i3−i311i3i3−i3−i3-100−i3i311-1-1−i3−i3i3i3−2i2i2i−2i00000000000000i−i−ii3−3−330000000000000000
χ452-22-22i−2i2i−2i22-2-22i−2i2i−2i000000222-2-2-22-22i−2i2i−2i2i−2i2i−2i200002-20000-200002i−2i2i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ462-22-22i−2i2i−2i22-2-22i−2i2i−2i000000222-2-2-22-22i−2i2i−2i2i−2i2i−2i200002-20000-200002i−2i2i−2i000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ472-22-22i−2i2i−2i22-2-22i−2i2i−2i000000-12-111-22-22i−2i2i−2i−ii−ii-1−i3i300-11−i3i3−i3i313−300−ii−ii3−33−3000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ482-22-22i−2i2i−2i22-2-22i−2i2i−2i000000-12-111-22-22i−2i2i−2i−ii−ii-1−i3i300-11−i3i3−i3i313−300−ii−ii3−33−300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ492-22-22i−2i2i−2i22-2-22i−2i2i−2i000000-12-111-22-22i−2i2i−2i−ii−ii-1i3−i300-11i3−i3i3−i31−3300−ii−ii−33−33000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ502-22-22i−2i2i−2i22-2-22i−2i2i−2i000000-12-111-22-22i−2i2i−2i−ii−ii-1i3−i300-11i3−i3i3−i31−3300−ii−ii−33−3300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ512-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000222-2-2-22-2−2i2i−2i2i−2i2i−2i2i200002-20000-20000−2i2i−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ522-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000222-2-2-22-2−2i2i−2i2i−2i2i−2i2i200002-20000-20000−2i2i−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ532-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000-12-111-22-2−2i2i−2i2ii−ii−i-1−i3i300-11−i3i3−i3i31−3300i−ii−i−33−3300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ542-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000-12-111-22-2−2i2i−2i2ii−ii−i-1−i3i300-11−i3i3−i3i31−3300i−ii−i−33−33000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ552-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000-12-111-22-2−2i2i−2i2ii−ii−i-1i3−i300-11i3−i3i3−i313−300i−ii−i3−33−300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ562-22-2−2i2i−2i2i22-2-2−2i2i−2i2i000000-12-111-22-2−2i2i−2i2ii−ii−i-1i3−i300-11i3−i3i3−i313−300i−ii−i3−33−3000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ572-2-222i−2i−2i2i2-22-22i−2i−2i2i00000022-22-2-2-222i−2i−2i2i2i−2i−2i2i20000-220000-200002i−2i−2i2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ582-2-222i−2i−2i2i2-22-22i−2i−2i2i00000022-22-2-2-222i−2i−2i2i2i−2i−2i2i20000-220000-200002i−2i−2i2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ592-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00000022-22-2-2-22−2i2i2i−2i−2i2i2i−2i20000-220000-20000−2i2i2i−2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ602-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00000022-22-2-2-22−2i2i2i−2i−2i2i2i−2i20000-220000-20000−2i2i2i−2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211-1-1-1-1122221111-1-1-1-1000000000000000000000000000000000000000000
χ634444-4-4-4-44444-4-4-4-44-444-4-4-2-2-2-2-2-2-2-2222222221-2-2-2-211111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ644444-4-4-4-44444-4-4-4-4-44-4-444-2-2-2-2-2-2-2-2222222221222211-1-1-1-11-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ6544-4-444-4-44-4-4444-4-4000000-2422-24-4-444-4-4-2-222-20000220000-20000-2-2220000000000000000000000000000000000000000000000
χ6644-4-444-4-44-4-4444-4-4000000-2-222-2-222-2-222-2-222100−2i32i3-1-1i3i3−i3−i3100−2i32i311-1-1i3i3−i3−i3000000000000000000000000000000000000000000
χ6744-4-444-4-44-4-4444-4-4000000-2-222-2-222-2-222-2-2221002i3−2i3-1-1−i3−i3i3i31002i3−2i311-1-1−i3−i3i3i3000000000000000000000000000000000000000000
χ6844-4-4-4-4444-4-44-4-444000000-2422-24-4-4-4-44422-2-2-20000220000-2000022-2-20000000000000000000000000000000000000000000000
χ6944-4-4-4-4444-4-44-4-444000000-2-222-2-22222-2-222-2-2100−2i32i3-1-1i3i3−i3−i31002i3−2i3-1-111−i3−i3i3i3000000000000000000000000000000000000000000
χ7044-4-4-4-4444-4-44-4-444000000-2-222-2-22222-2-222-2-21002i3−2i3-1-1−i3−i3i3i3100−2i32i3-1-111i3i3−i3−i3000000000000000000000000000000000000000000
χ714-44-44i−4i4i−4i44-4-44i−4i4i−4i0000004-24-4-42-22−2i2i−2i2i4i−4i4i−4i-20000-22000020000−2i2i−2i2i0000000000000000000000000000000000000000000000
χ724-44-44i−4i4i−4i44-4-44i−4i4i−4i000000-2-2-2222-22−2i2i−2i2i−2i2i−2i2i1−2i32i3001-1i3−i3i3−i3-123−2300i−ii−i−33−33000000000000000000000000000000000000000000
χ734-44-44i−4i4i−4i44-4-44i−4i4i−4i000000-2-2-2222-22−2i2i−2i2i−2i2i−2i2i12i3−2i3001-1−i3i3−i3i3-1−232300i−ii−i3−33−3000000000000000000000000000000000000000000
χ744-44-4−4i4i−4i4i44-4-4−4i4i−4i4i0000004-24-4-42-222i−2i2i−2i−4i4i−4i4i-20000-220000200002i−2i2i−2i0000000000000000000000000000000000000000000000
χ754-44-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-2-2-2222-222i−2i2i−2i2i−2i2i−2i1−2i32i3001-1i3−i3i3−i3-1−232300−ii−ii3−33−3000000000000000000000000000000000000000000
χ764-44-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-2-2-2222-222i−2i2i−2i2i−2i2i−2i12i3−2i3001-1−i3i3−i3i3-123−2300−ii−ii−33−33000000000000000000000000000000000000000000
χ774-4-444i−4i−4i4i4-44-44i−4i−4i4i0000004-2-44-422-2−2i2i2i−2i4i−4i−4i4i-200002-2000020000−2i2i2i−2i0000000000000000000000000000000000000000000000
χ784-4-444i−4i−4i4i4-44-44i−4i−4i4i000000-242-22-4-444i−4i−4i4i−2i2i2i−2i-200002-2000020000−2i2i2i−2i0000000000000000000000000000000000000000000000
χ794-4-444i−4i−4i4i4-44-44i−4i−4i4i000000-2-22-2222-2−2i2i2i−2i−2i2i2i−2i10000-113-3-33-10000i−i−ii3i−3i−3i3i000000000000000000000000000000000000000000
χ804-4-444i−4i−4i4i4-44-44i−4i−4i4i000000-2-22-2222-2−2i2i2i−2i−2i2i2i−2i10000-11-333-3-10000i−i−ii−3i3i3i−3i000000000000000000000000000000000000000000
χ814-4-44−4i4i4i−4i4-44-4−4i4i4i−4i0000004-2-44-422-22i−2i−2i2i−4i4i4i−4i-200002-20000200002i−2i−2i2i0000000000000000000000000000000000000000000000
χ824-4-44−4i4i4i−4i4-44-4−4i4i4i−4i000000-242-22-4-44−4i4i4i−4i2i−2i−2i2i-200002-20000200002i−2i−2i2i0000000000000000000000000000000000000000000000
χ834-4-44−4i4i4i−4i4-44-4−4i4i4i−4i000000-2-22-2222-22i−2i−2i2i2i−2i−2i2i10000-113-3-33-10000−iii−i−3i3i3i−3i000000000000000000000000000000000000000000
χ844-4-44−4i4i4i−4i4-44-4−4i4i4i−4i000000-2-22-2222-22i−2i−2i2i2i−2i−2i2i10000-11-333-3-10000−iii−i3i−3i−3i3i000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-3000000000000000000000000000000000000000000002222000000220000000000-1-1-1-1-1-1-1-100000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000000000000-2-2-2-2000000-2-200000000001111111100000000
χ8766666666-3-3-3-3-3-3-3-3-6-63333000000000000000000000000000000000000000000002222000000-2-20000000000-1-1-1-1111100000000
χ8866666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000000000-2-2-2-20000002200000000001111-1-1-1-100000000
χ896666-6-6-6-6-3-3-3-333336-6-3-333000000000000000000000000000000000000000000002i2i−2i−2i0000002i−2i0000000000−i−iii−i−iii00000000
χ906666-6-6-6-6-3-3-3-333336-6-3-33300000000000000000000000000000000000000000000−2i−2i2i2i000000−2i2i0000000000ii−i−iii−i−i00000000
χ916666-6-6-6-6-3-3-3-33333-6633-3-3000000000000000000000000000000000000000000002i2i−2i−2i000000−2i2i0000000000−i−iiiii−i−i00000000
χ926666-6-6-6-6-3-3-3-33333-6633-3-300000000000000000000000000000000000000000000−2i−2i2i2i0000002i−2i0000000000ii−i−i−i−iii00000000
χ936-6-666i−6i−6i6i-33-33−3i3i3i−3i00−3i33i333−33000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ946-6-666i−6i−6i6i-33-33−3i3i3i−3i00−3i33i333−3300000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ956-6-666i−6i−6i6i-33-33−3i3i3i−3i003i3−3i3−3333000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ966-6-666i−6i−6i6i-33-33−3i3i3i−3i003i3−3i3−333300000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ976-6-66−6i6i6i−6i-33-333i−3i−3i3i00−3i33i3−333300000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ986-6-66−6i6i6i−6i-33-333i−3i−3i3i00−3i33i3−3333000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ996-6-66−6i6i6i−6i-33-333i−3i−3i3i003i3−3i333−3300000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ1006-6-66−6i6i6i−6i-33-333i−3i−3i3i003i3−3i333−33000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ1011212-12-121212-12-12-666-6-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1021212-12-12-12-121212-666-666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-1212-1212i−12i12i−12i-6-666−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-1212-12−12i12i−12i12i-6-6666i−6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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