From a historical perspective, the true meaning of what constituted National Socialism was pretty much a free for all within the Nazi Party itself. Its unifying principle was German superiority and eliminating the Jews from society. To me, this is something that isn’t left or right, it’s just racism plain and simple. Once you go beyond that, the Nazi Party was a confusing mess of contradictory ideas. There were indeed those who believed strongly in the “socialism” part of their party’s title. The Strasser brothers, who were instrumental in the party’s formative years, all the way through the early ’30s, were committed socialists. So was Goebbels early on. In large part, this schism was what the purge of 1934, “The Night of the Long Knives”, was about. The SA and its leadership were far more socialist than Hitler and his cronies. Even after that, however, there were still strains of socialist beliefs that persisted in Nazi ideology. To call it left or right really is misunderstanding the subject.