Finite Group Databasebeta

← Group #13138933

Character table — Group #13138933

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11111111222222222222222222226666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order12224444366688881212121224242424242424243366666612121212121212123666121212122424242424242424242424242424242422446666888812121212242424242424242424446688881212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-111-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-11111-1-1-1-1
χ5111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ7111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-111111-1-1-1-1-1-1111111-1-1-1-1
χ8111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-1-1-1-1-1111111-1-1-1-1-1-11111
χ91111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-111i−ii−i11-1-1-1-1ii−i−iii−i−i
χ101111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111-1-1−ii−ii-1-11111−i−iii−i−iii
χ111111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii1-11-111−iii−i-1-111-1-1−i−iiiii−i−i
χ121111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii-11-11-1-1i−i−ii11-1-111ii−i−i−i−iii
χ131111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-111−ii−ii11-1-1-1-1−i−iii−i−iii
χ141111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111-1-1i−ii−i-1-11111ii−i−iii−i−i
χ151111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i1-11-111i−i−ii-1-111-1-1ii−i−i−i−iii
χ161111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-11-11-1-1−iii−i11-1-111−i−iiiii−i−i
χ1722222222222222222222222222222-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002002-1-100220000-1-10000-1-1-1-1
χ1822222222222222222222222222222-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-200-21100-2-200001100001111
χ192222222222222222222222222222-1222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000220002200-1-1-1-100-1-1-1-10000
χ202222222222222222222222222222-1222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000-2-2000-2-20011110011110000
χ21222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000000000002002-1-100-2-20000-1-100001111
χ22222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000000000-200-21100220000110000-1-1-1-1
χ23222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000000000022000-2-200-1-1-1-10011110000
χ24222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000000000000-2-20002200111100-1-1-1-10000
χ252222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-1-1-1222-111-2-2-2-211-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii000000000000000000000000200-2-1-1002i−2i0000110000−i−iii
χ262222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i2-1-1-1222-111-2-2-2-211-1-1-1-111112i2i−2i−2i−i−iii−i−i−i−iiiii000000000000000000000000-20021100−2i2i0000-1-10000ii−i−i
χ272222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i-1222-1-1-12-2-21111-2-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii00000000000000000000000002-20002i−2i00-1-11100−i−iii0000
χ282222-2-2-2-222222i2i−2i−2i-2-2-2-22i2i2i2i−2i−2i−2i−2i-1222-1-1-12-2-21111-2-2-1-1-1-11111−i−iii2i2i−2i−2i−i−i−i−iiiii0000000000000000000000000-22000−2i2i0011-1-100ii−i−i0000
χ292222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-1-1-1222-111-2-2-2-211-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i000000000000000000000000200-2-1-100−2i2i0000110000ii−i−i
χ302222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i2-1-1-1222-111-2-2-2-211-1-1-1-11111−2i−2i2i2iii−i−iiiii−i−i−i−i000000000000000000000000-200211002i−2i0000-1-10000−i−iii
χ312222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1222-1-1-12-2-21111-2-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000000000000000000002-2000−2i2i00-1-11100ii−i−i0000
χ322222-2-2-2-22222−2i−2i2i2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i-1222-1-1-12-2-21111-2-2-1-1-1-11111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000000000000000000000-220002i−2i0011-1-100−i−iii0000
χ3322-2-22i−2i2i−2i22-2-200002i−2i2i−2i00000000222-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000
χ3422-2-22i−2i2i−2i22-2-200002i−2i2i−2i00000000222-2-22-2-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000
χ3522-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i00000000222-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000
χ3622-2-2−2i2i−2i2i22-2-20000−2i2i−2i2i00000000222-2-22-2-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000
χ372-22-22i−2i−2i2i2-22-200002i−2i−2i2i0000000022-22-2-22-22i−2i−2i2i2i−2i−2i2i2-22-22i−2i−2i2i00000000000000002-22i−2i22-2-200002i2i−2i−2i00000000000000000000000000000000
χ382-22-22i−2i−2i2i2-22-200002i−2i−2i2i0000000022-22-2-22-22i−2i−2i2i2i−2i−2i2i2-22-22i−2i−2i2i0000000000000000-22−2i2i-2-2220000−2i−2i2i2i00000000000000000000000000000000
χ392-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i0000000022-22-2-22-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i2i−2i00000000000000002-2−2i2i22-2-20000−2i−2i2i2i00000000000000000000000000000000
χ402-22-2−2i2i2i−2i2-22-20000−2i2i2i−2i0000000022-22-2-22-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i2i−2i0000000000000000-222i−2i-2-22200002i2i−2i−2i00000000000000000000000000000000
χ412-2-2222-2-22-2-222i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i22-2-22-2-2222-2-222-2-22-2-2222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ422-2-2222-2-22-2-222i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i2-1112-2-2-1-1-1-2-22211-111-1-1-1112i−2i2i−2i−ii−ii−i−iii−i−iii0000000000000000000000000000−i3i300000000−i3i300003−33−3
χ432-2-2222-2-22-2-222i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i2-1112-2-2-1-1-1-2-22211-111-1-1-1112i−2i2i−2i−ii−ii−i−iii−i−iii0000000000000000000000000000i3−i300000000i3−i30000−33−33
χ442-2-2222-2-22-2-222i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-12-2-2-11122211-1-1-2-2-111-1-1-111−ii−ii2i−2i2i−2i−i−iii−i−iii00000000000000000000000000000000003−33−300−i3i3−i3i30000
χ452-2-2222-2-22-2-222i−2i2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-12-2-2-11122211-1-1-2-2-111-1-1-111−ii−ii2i−2i2i−2i−i−iii−i−iii0000000000000000000000000000000000−33−3300i3−i3i3−i30000
χ462-2-2222-2-22-2-22−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i22-2-22-2-2222-2-222-2-22-2-2222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ472-2-2222-2-22-2-22−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i2-1112-2-2-1-1-1-2-22211-111-1-1-111−2i2i−2i2ii−ii−iii−i−iii−i−i0000000000000000000000000000−i3i300000000−i3i30000−33−33
χ482-2-2222-2-22-2-22−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i2-1112-2-2-1-1-1-2-22211-111-1-1-111−2i2i−2i2ii−ii−iii−i−iii−i−i0000000000000000000000000000i3−i300000000i3−i300003−33−3
χ492-2-2222-2-22-2-22−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-12-2-2-11122211-1-1-2-2-111-1-1-111i−ii−i−2i2i−2i2iii−i−iii−i−i00000000000000000000000000000000003−33−300i3−i3i3−i30000
χ502-2-2222-2-22-2-22−2i2i−2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-12-2-2-11122211-1-1-2-2-111-1-1-111i−ii−i−2i2i−2i2iii−i−iii−i−i0000000000000000000000000000000000−33−3300−i3i3−i3i30000
χ512-2-22-2-2222-2-222-2-22-2-22222-2-2-2-22222-2-22-2-22-2-222-2-2222-2-22-2-2222-2-222-2-2222-2-2-2-222000000000000000000000000000000000000000000000000
χ522-2-22-2-2222-2-222-2-22-2-22222-2-2-2-2222-1112-2-2-11122-2-2-1-1-111-111-1-12-2-22-111-1-1-11111-1-10000000000000000000000000000−i3i300000000i3−i30000−i3i3i3−i3
χ532-2-22-2-2222-2-222-2-22-2-22222-2-2-2-2222-1112-2-2-11122-2-2-1-1-111-111-1-12-2-22-111-1-1-11111-1-10000000000000000000000000000i3−i300000000−i3i30000i3−i3−i3i3
χ542-2-22-2-2222-2-222-2-22-2-22222-2-2-2-222-12-2-2-1112-2-2-1-11122-111-111-1-1-111-12-2-22-1-11111-1-100000000000000000000000000000000003−3−3300−333−30000
χ552-2-22-2-2222-2-222-2-22-2-22222-2-2-2-222-12-2-2-1112-2-2-1-11122-111-111-1-1-111-12-2-22-1-11111-1-10000000000000000000000000000000000−333−3003−3−330000
χ562-2-22-2-2222-2-22-222-2-2-222-2-22222-2-222-2-22-2-22-2-222-2-2222-2-22-2-222-222-2-222-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ572-2-22-2-2222-2-22-222-2-2-222-2-22222-2-22-1112-2-2-11122-2-2-1-1-111-111-1-1-222-21-1-1111-1-1-1-1110000000000000000000000000000−i3i300000000i3−i30000i3−i3−i3i3
χ582-2-22-2-2222-2-22-222-2-2-222-2-22222-2-22-1112-2-2-11122-2-2-1-1-111-111-1-1-222-21-1-1111-1-1-1-1110000000000000000000000000000i3−i300000000−i3i30000−i3i3i3−i3
χ592-2-22-2-2222-2-22-222-2-2-222-2-22222-2-2-12-2-2-1112-2-2-1-11122-111-111-1-11-1-11-222-211-1-1-1-11100000000000000000000000000000000003−3−33003−3−330000
χ602-2-22-2-2222-2-22-222-2-2-222-2-22222-2-2-12-2-2-1112-2-2-1-11122-111-111-1-11-1-11-222-211-1-1-1-1110000000000000000000000000000000000−333−300−333−30000
χ614444444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000000000
χ62444444444444-4-4-4-44444-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ634444-4-4-4-444444i4i−4i−4i-4-4-4-44i4i4i4i−4i−4i−4i−4i-2-2-2-2-2-2-2-2222222221111-1-1-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000000000
χ644444-4-4-4-44444−4i−4i4i4i-4-4-4-4−4i−4i−4i−4i4i4i4i4i-2-2-2-2-2-2-2-2222222221111-1-1-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ6544-4-44i−4i4i−4i44-4-400004i−4i4i−4i000000004-2-22-44-42−2i2i4i−4i4i−4i−2i2i-2-222−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ6644-4-44i−4i4i−4i44-4-400004i−4i4i−4i00000000-244-42-22-44i−4i−2i2i−2i2i4i−4i-2-222−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ6744-4-44i−4i4i−4i44-4-400004i−4i4i−4i00000000-2-2-222-222−2i2i−2i2i−2i2i−2i2i11-1-1i−ii−i000000003ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000000000000000
χ6844-4-44i−4i4i−4i44-4-400004i−4i4i−4i00000000-2-2-222-222−2i2i−2i2i−2i2i−2i2i11-1-1i−ii−i00000000−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000000000000000
χ6944-4-4−4i4i−4i4i44-4-40000−4i4i−4i4i000000004-2-22-44-422i−2i−4i4i−4i4i2i−2i-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ7044-4-4−4i4i−4i4i44-4-40000−4i4i−4i4i00000000-244-42-22-4−4i4i2i−2i2i−2i−4i4i-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ7144-4-4−4i4i−4i4i44-4-40000−4i4i−4i4i00000000-2-2-222-2222i−2i2i−2i2i−2i2i−2i11-1-1−ii−ii00000000−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000000000
χ7244-4-4−4i4i−4i4i44-4-40000−4i4i−4i4i00000000-2-2-222-2222i−2i2i−2i2i−2i2i−2i11-1-1−ii−ii000000003ζ5+3ζ13−3ζ5−3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000000000000000
χ734-44-44i−4i−4i4i4-44-400004i−4i−4i4i000000004-22-2-4-442−2i2i−4i4i4i−4i2i−2i-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ744-44-44i−4i−4i4i4-44-400004i−4i−4i4i00000000-24-4422-2-44i−4i2i−2i−2i2i−4i4i-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ754-44-44i−4i−4i4i4-44-400004i−4i−4i4i00000000-2-22-222-22−2i2i2i−2i−2i2i2i−2i1-11-1i−i−ii00000000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000000000
χ764-44-44i−4i−4i4i4-44-400004i−4i−4i4i00000000-2-22-222-22−2i2i2i−2i−2i2i2i−2i1-11-1i−i−ii000000003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000000000000000
χ774-44-4−4i4i4i−4i4-44-40000−4i4i4i−4i000000004-22-2-4-4422i−2i4i−4i−4i4i−2i2i-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ784-44-4−4i4i4i−4i4-44-40000−4i4i4i−4i00000000-24-4422-2-4−4i4i−2i2i2i−2i4i−4i-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ794-44-4−4i4i4i−4i4-44-40000−4i4i4i−4i00000000-2-22-222-222i−2i−2i2i2i−2i−2i2i1-11-1−iii−i000000003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000000000000000
χ804-44-4−4i4i4i−4i4-44-40000−4i4i4i−4i00000000-2-22-222-222i−2i−2i2i2i−2i−2i2i1-11-1−iii−i00000000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000000000000000
χ814-4-4444-4-44-4-444i−4i4i−4i44-4-44i4i−4i−4i4i4i−4i−4i-2-222-222-2-2-222-2-2221-1-1111-1-1−2i2i−2i2i−2i2i−2i2iii−i−iii−i−i000000000000000000000000000000000000000000000000
χ824-4-4444-4-44-4-44−4i4i−4i4i44-4-4−4i−4i4i4i−4i−4i4i4i-2-222-222-2-2-222-2-2221-1-1111-1-12i−2i2i−2i2i−2i2i−2i−i−iii−i−iii000000000000000000000000000000000000000000000000
χ834-4-44-4-4444-4-444-4-44-4-44444-4-4-4-444-2-222-222-222-2-222-2-21-1-11-1-111-222-2-222-211-1-1-1-111000000000000000000000000000000000000000000000000
χ844-4-44-4-4444-4-44-444-4-4-444-4-44444-4-4-2-222-222-222-2-222-2-21-1-11-1-1112-2-222-2-22-1-11111-1-1000000000000000000000000000000000000000000000000
χ8566666666-3-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000002222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ8666666666-3-3-3-36666-3-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-2-2-21111-2-2-2-2111111111111000000000000000000000000
χ8766666666-3-3-3-3-6-6-6-6-3-3-3-33333333300000000000000000000000000000000000000002222-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000000000000000
χ8866666666-3-3-3-3-6-6-6-6-3-3-3-3333333330000000000000000000000000000000000000000-2-2-2-2111122221111-1-1-1-1-1-1-1-1000000000000000000000000
χ896666-6-6-6-6-3-3-3-36i6i−6i−6i3333−3i−3i−3i−3i3i3i3i3i000000000000000000000000000000000000000022-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii000000000000000000000000
χ906666-6-6-6-6-3-3-3-36i6i−6i−6i3333−3i−3i−3i−3i3i3i3i3i0000000000000000000000000000000000000000-2-2221111−2i−2i2i2i-1-1-1-1iiii−i−i−i−i000000000000000000000000
χ916666-6-6-6-6-3-3-3-3−6i−6i6i6i33333i3i3i3i−3i−3i−3i−3i000000000000000000000000000000000000000022-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i000000000000000000000000
χ926666-6-6-6-6-3-3-3-3−6i−6i6i6i33333i3i3i3i−3i−3i−3i−3i0000000000000000000000000000000000000000-2-22211112i2i−2i−2i-1-1-1-1−i−i−i−iiiii000000000000000000000000
χ9366-6-66i−6i6i−6i-3-3330000−3i3i−3i3i−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ1300000000000000000000000000000000000000000000−i3i3−i3i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ133−33−3−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000000000000000
χ9466-6-66i−6i6i−6i-3-3330000−3i3i−3i3i−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ1300000000000000000000000000000000000000000000i3−i3i3−i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−33−33ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000000000000000
χ9566-6-66i−6i6i−6i-3-3330000−3i3i−3i3i3ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ1300000000000000000000000000000000000000000000−i3i3−i3i3−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ133−33−3ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000000000000000
χ9666-6-66i−6i6i−6i-3-3330000−3i3i−3i3i3ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ1300000000000000000000000000000000000000000000i3−i3i3−i32ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−33−33−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000000000000000
χ9766-6-6−6i6i−6i6i-3-33300003i−3i3i−3i3ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ2300000000000000000000000000000000000000000000−i3i3−i3i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−33−33−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000000000000000
χ9866-6-6−6i6i−6i6i-3-33300003i−3i3i−3i3ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ2300000000000000000000000000000000000000000000i3−i3i3−i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ233−33−3ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000000000000000
χ9966-6-6−6i6i−6i6i-3-33300003i−3i3i−3i−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ2300000000000000000000000000000000000000000000−i3i3−i3i3−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−33−33ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000000000000000
χ10066-6-6−6i6i−6i6i-3-33300003i−3i3i−3i−3ζ5+3ζ133ζ5−3ζ13−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ233ζ7−3ζ23−3ζ7+3ζ2300000000000000000000000000000000000000000000i3−i3i3−i32ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ233−33−3−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000000000000000
χ1016-66-66i−6i−6i6i-33-330000−3i3i3i−3i3ζ5−3ζ13−3ζ5+3ζ13−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ23−3ζ7+3ζ233ζ7−3ζ2300000000000000000000000000000000000000002-22i−2i-1-1110000−i−iiiζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ1026-66-66i−6i−6i6i-33-330000−3i3i3i−3i3ζ5−3ζ13−3ζ5+3ζ13−3ζ5+3ζ133ζ5−3ζ133ζ7−3ζ23−3ζ7+3ζ23−3ζ7+3ζ233ζ7−3ζ230000000000000000000000000000000000000000-22−2i2i11-1-10000ii−i−i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
χ1036-66-66i−6i−6i6i-33-330000−3i3i3i−3i−3ζ5+3ζ133ζ5−3ζ133ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ233ζ7−3ζ23−3ζ7+3ζ2300000000000000000000000000000000000000002-22i−2i-1-1110000−i−iii−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000
χ1046-66-66i−6i−6i6i-33-330000−3i3i3i−3i−3ζ5+3ζ133ζ5−3ζ133ζ5−3ζ13−3ζ5+3ζ13−3ζ7+3ζ233ζ7−3ζ233ζ7−3ζ23−3ζ7+3ζ230000000000000000000000000000000000000000-22−2i2i11-1-10000ii−i−iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000
χ1056-66-6−6i6i6i−6i-33-3300003i−3i−3i3i−3ζ7+3ζ233ζ7−3ζ233ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ133ζ5−3ζ13−3ζ5+3ζ1300000000000000000000000000000000000000002-2−2i2i-1-1110000ii−i−i−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ1066-66-6−6i6i6i−6i-33-3300003i−3i−3i3i−3ζ7+3ζ233ζ7−3ζ233ζ7−3ζ23−3ζ7+3ζ23−3ζ5+3ζ133ζ5−3ζ133ζ5−3ζ13−3ζ5+3ζ130000000000000000000000000000000000000000-222i−2i11-1-10000−i−iiiζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000
χ1076-66-6−6i6i6i−6i-33-3300003i−3i−3i3i3ζ7−3ζ23−3ζ7+3ζ23−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ13−3ζ5+3ζ133ζ5−3ζ1300000000000000000000000000000000000000002-2−2i2i-1-1110000ii−i−iζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000
χ1086-66-6−6i6i6i−6i-33-3300003i−3i−3i3i3ζ7−3ζ23−3ζ7+3ζ23−3ζ7+3ζ233ζ7−3ζ233ζ5−3ζ13−3ζ5+3ζ13−3ζ5+3ζ133ζ5−3ζ130000000000000000000000000000000000000000-222i−2i11-1-10000−i−iii−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000
χ1096-6-6666-6-6-333-36i−6i6i−6i-3-333−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i33−3−333−3−33000000000000000000000000
χ1106-6-6666-6-6-333-36i−6i6i−6i-3-333−3i−3i3i3i−3i−3i3i3i00000000000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i3−333−3−333−3000000000000000000000000
χ1116-6-6666-6-6-333-3−6i6i−6i6i-3-3333i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000000000000000−i3i3i3−i30000−i3i3i3−i3−333−3−333−3000000000000000000000000
χ1126-6-6666-6-6-333-3−6i6i−6i6i-3-3333i3i−3i−3i3i3i−3i−3i00000000000000000000000000000000000000000000i3−i3−i3i30000i3−i3−i3i33−3−333−3−33000000000000000000000000
χ1136-6-66-6-666-333-36-6-6633-3-3-3-33333-3-300000000000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ1146-6-66-6-666-333-36-6-6633-3-3-3-33333-3-300000000000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1156-6-66-6-666-333-3-666-633-3-333-3-3-3-33300000000000000000000000000000000000000000000−i3i3i3−i30000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ1166-6-66-6-666-333-3-666-633-3-333-3-3-3-33300000000000000000000000000000000000000000000i3−i3−i3i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000

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