Communism is one form of socialism. The ruling elites own everything and control the means of production directly. To run a business you need to be a party member and the party dictates how your business is run. Fascism is communism with one extra step. To run a business you still need to be a party member or have one working with you. You do get to however manage your business as you see fit though still have the state ruling party as your boss. Fascism is the Merger of state and private. Cartels. You can see it in the film Schindler list. Oscar had to join the party. He could buy a factory with his own and investors money but once he did the state bought all his goods. Told him what to make. But he could operate the business his way to a certain extent. Oscar was the nominal owner the state the defacto owner of the means of production