Lyric discussion by BabyM 

Cover art for 666 Conducer lyrics by Black Rebel Motorcycle Club

It's about people who mislead or do evil to others. "Conducer" means someone or something that leads to a specific result. "666" is, of course, the "number of the Beast"; that is, a reference to the Devil. A "666 conducer" would be someone doing the devil's work. The narrator asks if the conducer has a conscience: "How do you do the things you do, sir?"

My Interpretation