Socialism is an economic and political system where the means of production, distribution, and exchange are owned or regulated collectively or by the state, aiming for equitable wealth distribution.
Fascism is an authoritarian, ultranationalist political ideology characterized by a dictatorial leader, suppression of dissent, and subordination of individual interests to the state.
Nazism, or National Socialism, is a totalitarian ideology rooted in extreme nationalism, racial supremacy, and anti-Semitism, led by Adolf Hitler in Germany, combining fascist authoritarianism with genocidal policies.
The only thing you gotta ask is who runs the government.