The "Nazi" Party STARTED OUT as the National Socialist German Workers Party, with a left-leaning, socialist bent.
That is, until it enrolled "Member Number 7," aka Adolf Hitler, who had other ideas.
A World War I veteran, Hitler figured out the the "Dolchstoss" legend, the idea that Germany had been winning World War I until it was "stabbed in the back" by Hitler's enemies, plus re-armament/revanche, was more appealing to most German people than the idea of a "worker's paradise. This was particularly true of the right wing, where Hitler drew most of his financial support.
In fact, the Nazi party at one time had two wings, a nationalist wing under Hitler and a socialist wing under Gregor Strasser, who considered himself a personal friend of Hitler's.
That is, until Hitler took over the party, and later murdered his "friend" Strasser in cold blood during the "Night of the Long Knives."