A little clarification.
Hitler was not a socialist, but a good number of prominent Nazis were, namely Goebbels.
Now one thing that Hitler did advocate was a classless society, in fact the Nazis were more effective in implementing this than the Soviet Union could have ever dreamed of doing.
The SA was full of socialists, Roehm was a die-hard socialist. One of the reasons for the “Night of the Long Knives” was that businessmen were scared of the SA, because of their socialist rhetoric, of course Hitler took care of that problem for them.