Right-wing theorists in the US conveniently place National Socialism on the left simply because it has "Socialism" in its name, even though National Socialism was rabidly anti-socialist. However, the picture is not nearly so simple. It is true that the economy was centralized and industry's primary task was to serve the needs of the state. However, there was almost no nationalization of large industrial concerns - corporate ownership remained private. And by serving the needs of the state, the corporations profited handsomely. German rearmament was a windfall for large concerns like Krupps and IG Farben. Additionally, corporate management enjoyed a high degree of autonomy in deciding how to go about keeping government contracts. One would never say that the Nazi economy was full free-market capitalism, but private property rights and profit were as highly regarded as they are in free-market economies. In fact, Hitler's rise to power was at least partly a result of collusion by the corporations, the military and the aristocracy. They thought he was a harmless nut job who could be handled and trusted to do what he was supposed to. All of that said, in thinking about Fascism and where it fits on the political spectrum, I almost like to think of National Socialism as an outlier, an atypical form of Fascism. It was such a pathology that I don't know whether we will ever understand completely how it came about.