Fascism with Chinese Characteristics?

In what is likely to be their most controversial episode, Natalie and Cherrie discuss how the  terms Facist, and  'Chinazi' have become particularly common  in heated online arguments about China. 

However, despite the flaws of the Chinese government, is it really correct to call it Fascist? What exactly is Fascism, and how has it been defined over the years, and by whom? 

In this episode we discuss 4 different definitions of Fascism (Including the CCCP definition) to see if the modern Chinese state meets any of them. 

Some references:
The Wages of Destruction: Adam Tooze
Facism: Roger Griffon
Five Moral Pieces: Umberto Eco