Fascism is mistakenly considered Right because it opposes communism.
The economic system associated with fascism is Corporatism. Corporatism is a form of Socialism in which there is private ownership of businesses, however the government uses heavy-handed regulations to control output and prices. Corporatists oppose communism for the same reasons that Capitalists oppose communism; both groups want private ownership of capital. However, the heavy-handed big-government nature of Corporatism (Fascism) essentially negates private control of capital that is privately owned - which make it operate much closer to socialism than capitalism.
Also called third position economics.
Best example of that right now is ObamaCare. I’ve enjoyed the experience, several times recently, of using that on Liberals who argue that ObamaCare is a “center-right” solution. It’s easy to get them to buy offon it being a third position solution, then smack them in the face with it being fascist economics.
They really don’t like having that inconvienient truth pointed out ...