Finite Group Databasebeta

← Group #85124

Character table — Group #85124

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122444444444488888888881111224444444444888888888811112244444444448888888888
order12224424444488882244444488366612126121212121224242424661212121212122424366612126121212121224242424661212121212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ3111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ511111111-1-1-1-111111-11-111-1-1-1-111111111-1-1-1-111111-11-111-1-1-1-111111111-1-1-1-111111-11-111-1-1-1-1
χ611111111-1-1-1-11111-11-11-1-111-1-111111111-1-1-1-11111-11-11-1-111-1-111111111-1-1-1-11111-11-11-1-111-1-1
χ711111111-1-1-1-1-1-1-1-11-11-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1-1-11111
χ811111111-1-1-1-1-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-11-1111-1-11111111111-1-1-1-1-1-1-1-1-11-1111-1-111
χ9111111-1-111-1-111-1-111-1-11-11-11-1111111-1-111-1-111-1-111-1-11-11-11-1111111-1-111-1-111-1-111-1-11-11-11-1
χ10111111-1-111-1-111-1-1-1-111-11-111-1111111-1-111-1-111-1-1-1-111-11-111-1111111-1-111-1-111-1-1-1-111-11-111-1
χ11111111-1-111-1-1-1-11111-1-1-11-11-11111111-1-111-1-1-1-11111-1-1-11-11-11111111-1-111-1-1-1-11111-1-1-11-11-11
χ12111111-1-111-1-1-1-111-1-1111-11-1-11111111-1-111-1-1-1-111-1-1111-11-1-11111111-1-111-1-1-1-111-1-1111-11-1-11
χ13111111-1-1-1-11111-1-11-1-111-1-11-11111111-1-1-1-11111-1-11-1-111-1-11-11111111-1-1-1-11111-1-11-1-111-1-11-11
χ14111111-1-1-1-11111-1-1-111-1-111-1-11111111-1-1-1-11111-1-1-111-1-111-1-11111111-1-1-1-11111-1-1-111-1-111-1-11
χ15111111-1-1-1-111-1-1111-1-11-111-11-1111111-1-1-1-111-1-1111-1-11-111-11-1111111-1-1-1-111-1-1111-1-11-111-11-1
χ16111111-1-1-1-111-1-111-111-11-1-111-1111111-1-1-1-111-1-111-111-11-1-111-1111111-1-1-1-111-1-111-111-11-1-111-1
χ172222-2-22-22-22-2000000000000002222-2-22-22-22-2000000000000002222-2-22-22-22-200000000000000
χ182222-2-22-2-22-22000000000000002222-2-22-2-22-22000000000000002222-2-22-2-22-2200000000000000
χ192222-2-2-222-2-22000000000000002222-2-2-222-2-22000000000000002222-2-2-222-2-2200000000000000
χ202222-2-2-22-222-2000000000000002222-2-2-22-222-2000000000000002222-2-2-22-222-200000000000000
χ2144-4-400000000002i2−2i2000000000044-4-400000000002i2−2i2000000000044-4-400000000002i2−2i20000000000
χ2244-4-40000000000−2i22i2000000000044-4-40000000000−2i22i2000000000044-4-40000000000−2i22i20000000000
χ234-44-4000000002i2−2i20000000000004-44-4000000002i2−2i20000000000004-44-4000000002i2−2i2000000000000
χ244-44-400000000−2i22i20000000000004-44-400000000−2i22i20000000000004-44-400000000−2i22i2000000000000
χ254-4-444-4000000000000000000004-4-444-4000000000000000000004-4-444-400000000000000000000
χ264-4-44-44000000000000000000004-4-44-44000000000000000000004-4-44-4400000000000000000000
χ2711111111111111111111111111−1+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
χ281111111111111111-1-1-1-1-1-1-1-111−1+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+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ29111111111111-1-1-1-11111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ30111111111111-1-1-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3111111111-1-1-1-111111-11-111-1-1-1-1−1+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3211111111-1-1-1-11111-11-11-1-111-1-1−1+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+i321−i32−1+i321−i32−1+i321−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ3311111111-1-1-1-1-1-1-1-11-11-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+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+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ3411111111-1-1-1-1-1-1-1-1-11-1111-1-111−1+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+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ35111111-1-111-1-111-1-111-1-11-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32
χ36111111-1-111-1-111-1-1-1-111-11-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32
χ37111111-1-111-1-1-1-11111-1-1-11-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32
χ38111111-1-111-1-1-1-111-1-1111-11-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32
χ39111111-1-1-1-11111-1-11-1-111-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+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−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32
χ40111111-1-1-1-11111-1-1-111-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ41111111-1-1-1-111-1-1111-1-11-111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ42111111-1-1-1-111-1-111-111-11-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32
χ432222-2-22-22-22-200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i300000000000000
χ442222-2-22-2-22-2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i300000000000000
χ452222-2-2-222-2-2200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i300000000000000
χ462222-2-2-22-222-200000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000000000
χ4744-4-400000000002i2−2i20000000000−2+2i3−2+2i32−2i32−2i30000000000−2ζ5−2ζ232ζ5+2ζ230000000000−2−2i3−2−2i32+2i32+2i30000000000−2ζ7−2ζ132ζ7+2ζ130000000000
χ4844-4-40000000000−2i22i20000000000−2+2i3−2+2i32−2i32−2i300000000002ζ5+2ζ23−2ζ5−2ζ230000000000−2−2i3−2−2i32+2i32+2i300000000002ζ7+2ζ13−2ζ7−2ζ130000000000
χ494-44-4000000002i2−2i2000000000000−2+2i32−2i3−2+2i32−2i300000000−2ζ5−2ζ232ζ5+2ζ23000000000000−2−2i32+2i3−2−2i32+2i300000000−2ζ7−2ζ132ζ7+2ζ13000000000000
χ504-44-400000000−2i22i2000000000000−2+2i32−2i3−2+2i32−2i3000000002ζ5+2ζ23−2ζ5−2ζ23000000000000−2−2i32+2i3−2−2i32+2i3000000002ζ7+2ζ13−2ζ7−2ζ13000000000000
χ514-4-444-400000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000
χ524-4-44-4400000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i300000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i300000000000000000000
χ5311111111111111111111111111−1−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
χ541111111111111111-1-1-1-1-1-1-1-111−1−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−i321+i321+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ55111111111111-1-1-1-11111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ56111111111111-1-1-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ5711111111-1-1-1-111111-11-111-1-1-1-1−1−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−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+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+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ5811111111-1-1-1-11111-11-11-1-111-1-1−1−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−i321+i32−1−i321+i32−1−i321+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ5911111111-1-1-1-1-1-1-1-11-11-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−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−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ6011111111-1-1-1-1-1-1-1-1-11-1111-1-111−1−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−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ61111111-1-111-1-111-1-111-1-11-11-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32
χ62111111-1-111-1-111-1-1-1-111-11-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32
χ63111111-1-111-1-1-1-11111-1-1-11-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i32
χ64111111-1-111-1-1-1-111-1-1111-11-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32
χ65111111-1-1-1-11111-1-11-1-111-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−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+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32
χ66111111-1-1-1-11111-1-1-111-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ67111111-1-1-1-111-1-1111-1-11-111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ68111111-1-1-1-111-1-111-111-11-1-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i32
χ692222-2-22-22-22-200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i31−i300000000000000
χ702222-2-22-2-22-2200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i31+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i31−i3−1+i300000000000000
χ712222-2-2-222-2-2200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i300000000000000
χ722222-2-2-22-222-200000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3−1−i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3−1+i3−1+i31−i300000000000000
χ7344-4-400000000002i2−2i20000000000−2−2i3−2−2i32+2i32+2i30000000000−2ζ7−2ζ132ζ7+2ζ130000000000−2+2i3−2+2i32−2i32−2i30000000000−2ζ5−2ζ232ζ5+2ζ230000000000
χ7444-4-40000000000−2i22i20000000000−2−2i3−2−2i32+2i32+2i300000000002ζ7+2ζ13−2ζ7−2ζ130000000000−2+2i3−2+2i32−2i32−2i300000000002ζ5+2ζ23−2ζ5−2ζ230000000000
χ754-44-4000000002i2−2i2000000000000−2−2i32+2i3−2−2i32+2i300000000−2ζ7−2ζ132ζ7+2ζ13000000000000−2+2i32−2i3−2+2i32−2i300000000−2ζ5−2ζ232ζ5+2ζ23000000000000
χ764-44-400000000−2i22i2000000000000−2−2i32+2i3−2−2i32+2i3000000002ζ7+2ζ13−2ζ7−2ζ13000000000000−2+2i32−2i3−2+2i32−2i3000000002ζ5+2ζ23−2ζ5−2ζ23000000000000
χ774-4-444-400000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000
χ784-4-44-4400000000000000000000−2−2i32+2i32+2i3−2−2i32+2i3−2−2i300000000000000000000−2+2i32−2i32−2i3−2+2i32−2i3−2+2i300000000000000000000

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