Let's go through the 14 characteristics of Fascism and see how many the Chinese government scores:
1. Powerful and Continuing Nationalism
Yeah, I think they score this one.
2. Disdain for the Recognition of Human Rights
Oh they definitely score this one
3. Identification of Enemies/Scapegoats as a Unifying Cause
I don't think they are doing this right now to a large extent, they have done so in the past, so I might give them for that, but we're scoring them for their behaviour right now, right? So I guess I can't give them this score.
4. Supremacy of the Military
They do score this one
5. Rampant Sexism
They used to be extremely sexist, but I don't know if they are anymore. Simply have not enough information on this, so I will not score it for now, fill in if you know more about the subject.
6. Controlled Mass Media
Yep
7. Obsession with National Security
I don't think they are obsessing over this right now, so I won't score this one.
8. Religion and Government are Intertwined
Nope, since they are anti-religious
9. Corporate Power is Protected
Actually yes, they do score this one, they are protecting their rich corporate class, and supports a ruthless capitalist system.
10. Labor Power is Suppressed
Yep, definitely score this one.
11. Disdain for Intellectuals and the Arts
Hard, they definitely suppress all art that is in any way anti-regime, but they don't hold a general disdain for intellectualism nor the arts, gonna say no.
12. Obsession with Crime and Punishment
They have capital punishment, and you wouldn't have it if you aren't obsessed with it, because it's killing people, so Yes.
13. Rampant Cronyism and Corruption
Yep
14. Fraudulent Elections
Elections? I guess they pretend to have them, so Yes.
So I score them 9 out of 14 on the Fascist scale.