Finite Group Databasebeta

← Group #85232

Character table — Group #85232

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122224444444444444888888881111222244444444444448888888811112222444444444444488888888
order12224444444444444888822244488366612121212121212121212121212242424246661212122424366612121212121212121212121212242424246661212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1
χ311111111111-1-1-1-11111111-1-11-1-1-1-111111111111-1-1-1-11111111-1-11-1-1-1-111111111111-1-1-1-11111111-1-11-1-1-1-1
χ411111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ511111111-1-11111111-1-1-1-1111-1-1-1-1-111111111-1-11111111-1-1-1-1111-1-1-1-1-111111111-1-11111111-1-1-1-1111-1-1-1-1-1
χ611111111-1-111111-1-11111-1-1-1-1-1-11111111111-1-111111-1-11111-1-1-1-1-1-11111111111-1-111111-1-11111-1-1-1-1-1-111
χ711111111-1-11-1-1-1-111-1-1-1-11-1-1-1111111111111-1-11-1-1-1-111-1-1-1-11-1-1-1111111111111-1-11-1-1-1-111-1-1-1-11-1-1-11111
χ811111111-1-11-1-1-1-1-1-11111-111-111-1-111111111-1-11-1-1-1-1-1-11111-111-111-1-111111111-1-11-1-1-1-1-1-11111-111-111-1-1
χ91111-1-11111-11-11-11111-1-1-11-1-11-11-11111-1-11111-11-11-11111-1-1-11-1-11-11-11111-1-11111-11-11-11111-1-1-11-1-11-11-1
χ101111-1-11111-11-11-1-1-1-1-1111-11-11-1-111111-1-11111-11-11-1-1-1-1-1111-11-11-1-111111-1-11111-11-11-1-1-1-1-1111-11-11-1-11
χ111111-1-11111-1-11-111111-1-1-1-11-1-11-111111-1-11111-1-11-111111-1-1-1-11-1-11-111111-1-11111-1-11-111111-1-1-1-11-1-11-11
χ121111-1-11111-1-11-11-1-1-1-11111-1-1-111-11111-1-11111-1-11-11-1-1-1-11111-1-1-111-11111-1-11111-1-11-11-1-1-1-11111-1-1-111-1
χ131111-1-111-1-1-11-11-111-1-111-11-11-11-111111-1-111-1-1-11-11-111-1-111-11-11-11-111111-1-111-1-1-11-11-111-1-111-11-11-11-11
χ141111-1-111-1-1-11-11-1-1-111-1-11-111-111-11111-1-111-1-1-11-11-1-1-111-1-11-111-111-11111-1-111-1-1-11-11-1-1-111-1-11-111-111-1
χ151111-1-111-1-1-1-11-1111-1-111-1-1111-11-11111-1-111-1-1-1-11-1111-1-111-1-1111-11-11111-1-111-1-1-1-11-1111-1-111-1-1111-11-1
χ161111-1-111-1-1-1-11-11-1-111-1-111-111-1-111111-1-111-1-1-1-11-11-1-111-1-111-111-1-111111-1-111-1-1-1-11-11-1-111-1-111-111-1-11
χ17222222-2-200-222-2-200000000000000222222-2-200-222-2-200000000000000222222-2-200-222-2-200000000000000
χ18222222-2-200-2-2-22200000000000000222222-2-200-2-2-22200000000000000222222-2-200-2-2-22200000000000000
χ192222-2-2-2-20022-2-22000000000000002222-2-2-2-20022-2-22000000000000002222-2-2-2-20022-2-2200000000000000
χ202222-2-2-2-2002-222-2000000000000002222-2-2-2-2002-222-2000000000000002222-2-2-2-2002-222-200000000000000
χ2122-2-200-222-2000002i−2i2i−2i000000000022-2-200-222-2000002i−2i2i−2i000000000022-2-200-222-2000002i−2i2i−2i0000000000
χ2222-2-200-222-200000−2i2i−2i2i000000000022-2-200-222-200000−2i2i−2i2i000000000022-2-200-222-200000−2i2i−2i2i0000000000
χ2322-2-200-22-22000002i−2i−2i2i000000000022-2-200-22-22000002i−2i−2i2i000000000022-2-200-22-22000002i−2i−2i2i0000000000
χ2422-2-200-22-2200000−2i2i2i−2i000000000022-2-200-22-2200000−2i2i2i−2i000000000022-2-200-22-2200000−2i2i2i−2i0000000000
χ2544-4-4004-400000000000000000000044-4-4004-400000000000000000000044-4-4004-4000000000000000000000
χ264-44-40000000000000002i2−2i2000000004-44-40000000000000002i2−2i2000000004-44-40000000000000002i2−2i200000000
χ274-44-4000000000000000−2i22i2000000004-44-4000000000000000−2i22i2000000004-44-4000000000000000−2i22i200000000
χ284-4-444-4000000000000000000000004-4-444-4000000000000000000000004-4-444-400000000000000000000000
χ294-4-44-44000000000000000000000004-4-44-44000000000000000000000004-4-44-4400000000000000000000000
χ3011111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ31111111111111111-1-1-1-1-1-1-1-1-1111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ3211111111111-1-1-1-11111111-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ3311111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ3411111111-1-11111111-1-1-1-1111-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ3511111111-1-111111-1-11111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3611111111-1-11-1-1-1-111-1-1-1-11-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3711111111-1-11-1-1-1-1-1-11111-111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ381111-1-11111-11-11-11111-1-1-11-1-11-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ391111-1-11111-11-11-1-1-1-1-1111-11-11-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32
χ401111-1-11111-1-11-111111-1-1-1-11-1-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32
χ411111-1-11111-1-11-11-1-1-1-11111-1-1-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32
χ421111-1-111-1-1-11-11-111-1-111-11-11-11-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ431111-1-111-1-1-11-11-1-1-111-1-11-111-111-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ441111-1-111-1-1-1-11-1111-1-111-1-1111-11-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32
χ451111-1-111-1-1-1-11-11-1-111-1-111-111-1-11−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32
χ46222222-2-200-222-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i31+i300000000000000
χ47222222-2-200-2-2-22200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i31−i3−1+i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i31+i3−1−i3−1−i300000000000000
χ482222-2-2-2-20022-2-2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i3−1+i31−i31−i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i3−1−i31+i31+i3−1−i300000000000000
χ492222-2-2-2-2002-222-200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i31−i3−1+i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i31+i3−1−i3−1−i31+i300000000000000
χ5022-2-200-222-2000002i−2i2i−2i0000000000−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i3000002ζ14−2ζ142ζ14−2ζ140000000000−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i3000002ζ22−2ζ222ζ22−2ζ220000000000
χ5122-2-200-222-200000−2i2i−2i2i0000000000−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i300000−2ζ142ζ14−2ζ142ζ140000000000−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i300000−2ζ222ζ22−2ζ222ζ220000000000
χ5222-2-200-22-22000002i−2i−2i2i0000000000−1+i3−1+i31−i31−i3001−i3−1+i31−i3−1+i3000002ζ14−2ζ14−2ζ142ζ140000000000−1−i3−1−i31+i31+i3001+i3−1−i31+i3−1−i3000002ζ22−2ζ22−2ζ222ζ220000000000
χ5322-2-200-22-2200000−2i2i2i−2i0000000000−1+i3−1+i31−i31−i3001−i3−1+i31−i3−1+i300000−2ζ142ζ142ζ14−2ζ140000000000−1−i3−1−i31+i31+i3001+i3−1−i31+i3−1−i300000−2ζ222ζ222ζ22−2ζ220000000000
χ5444-4-4004-4000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i32−2i3000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i32+2i3000000000000000000000
χ554-44-40000000000000002i2−2i200000000−2+2i32−2i3−2+2i32−2i3000000000000000−2ζ5−2ζ232ζ5+2ζ2300000000−2−2i32+2i3−2−2i32+2i3000000000000000−2ζ7−2ζ132ζ7+2ζ1300000000
χ564-44-4000000000000000−2i22i200000000−2+2i32−2i3−2+2i32−2i30000000000000002ζ5+2ζ23−2ζ5−2ζ2300000000−2−2i32+2i3−2−2i32+2i30000000000000002ζ7+2ζ13−2ζ7−2ζ1300000000
χ574-4-444-400000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000000
χ584-4-44-4400000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i300000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i300000000000000000000000
χ5911111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ60111111111111111-1-1-1-1-1-1-1-1-1111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ6111111111111-1-1-1-11111111-1-11-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32
χ6211111111111-1-1-1-1-1-1-1-1-1-1-1111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ6311111111-1-11111111-1-1-1-1111-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32
χ6411111111-1-111111-1-11111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6511111111-1-11-1-1-1-111-1-1-1-11-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6611111111-1-11-1-1-1-1-1-11111-111-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32
χ671111-1-11111-11-11-11111-1-1-11-1-11-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ681111-1-11111-11-11-1-1-1-1-1111-11-11-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32
χ691111-1-11111-1-11-111111-1-1-1-11-1-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32
χ701111-1-11111-1-11-11-1-1-1-11111-1-1-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i32
χ711111-1-111-1-1-11-11-111-1-111-11-11-11-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ721111-1-111-1-1-11-11-1-1-111-1-11-111-111-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ731111-1-111-1-1-1-11-1111-1-111-1-1111-11-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32
χ741111-1-111-1-1-1-11-11-1-111-1-111-111-1-11−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32
χ75222222-2-200-222-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i31−i300000000000000
χ76222222-2-200-2-2-22200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3001+i31+i31+i3−1−i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3001−i31−i31−i3−1+i3−1+i300000000000000
χ772222-2-2-2-20022-2-2200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i3−1−i31+i31+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i3−1+i31−i31−i3−1+i300000000000000
χ782222-2-2-2-2002-222-200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300−1−i31+i3−1−i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300−1+i31−i3−1+i3−1+i31−i300000000000000
χ7922-2-200-222-2000002i−2i2i−2i0000000000−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i3000002ζ22−2ζ222ζ22−2ζ220000000000−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i3000002ζ14−2ζ142ζ14−2ζ140000000000
χ8022-2-200-222-200000−2i2i−2i2i0000000000−1−i3−1−i31+i31+i3001+i3−1−i3−1−i31+i300000−2ζ222ζ22−2ζ222ζ220000000000−1+i3−1+i31−i31−i3001−i3−1+i3−1+i31−i300000−2ζ142ζ14−2ζ142ζ140000000000
χ8122-2-200-22-22000002i−2i−2i2i0000000000−1−i3−1−i31+i31+i3001+i3−1−i31+i3−1−i3000002ζ22−2ζ22−2ζ222ζ220000000000−1+i3−1+i31−i31−i3001−i3−1+i31−i3−1+i3000002ζ14−2ζ14−2ζ142ζ140000000000
χ8222-2-200-22-2200000−2i2i2i−2i0000000000−1−i3−1−i31+i31+i3001+i3−1−i31+i3−1−i300000−2ζ222ζ222ζ22−2ζ220000000000−1+i3−1+i31−i31−i3001−i3−1+i31−i3−1+i300000−2ζ142ζ142ζ14−2ζ140000000000
χ8344-4-4004-4000000000000000000000−2−2i3−2−2i32+2i32+2i300−2−2i32+2i3000000000000000000000−2+2i3−2+2i32−2i32−2i300−2+2i32−2i3000000000000000000000
χ844-44-40000000000000002i2−2i200000000−2−2i32+2i3−2−2i32+2i3000000000000000−2ζ7−2ζ132ζ7+2ζ1300000000−2+2i32−2i3−2+2i32−2i3000000000000000−2ζ5−2ζ232ζ5+2ζ2300000000
χ854-44-4000000000000000−2i22i200000000−2−2i32+2i3−2−2i32+2i30000000000000002ζ7+2ζ13−2ζ7−2ζ1300000000−2+2i32−2i3−2+2i32−2i30000000000000002ζ5+2ζ23−2ζ5−2ζ2300000000
χ864-4-444-400000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000000
χ874-4-44-4400000000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i300000000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i300000000000000000000000

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