What did the ideologies of Nazism and Communism have in common?

Communist ideology and Nazism shared a common goal but for different reasons. For Nazism, the world view was to create and establish the Nazi Party and Germany as the dominant force in the world. There were no illusions of inclusion unless it was beneficial to the Nazi's world goals.One the other hand, taken at its face value, communist ideology was to create a socialist world enforced by power. And, to make this better received, the idea of no governments and no classes appealed to whom they considered to be the masses.