The usual thing to say is state capitalist but honestly they do keep a market around too. A little hybrid of everything, I guess? Just with the state ready to jump in and intervene if anything happens they don't like.

Can we just call it what it is?

Fascism (in the Mussolini model) in everything but name.

- Hyper-Nationalism & Rejuvenation - State-Controlled Capitalism (Corporatism) - Authoritarian & Cult of Personality - Militarism & Irredentism

And they have technology to maintain control rather than needing the Black-shirts.

There are differences obviously to fit Chinese culture, but there are many parallels.