fascist vs Nazi

fascist and Nazi both are nouns.

Word	Noun	Adjective	Verb	Adverb
fascist	Yes	Yes	No	No
Nazi	Yes	Yes	No	No

As nouns, Nazi is a hyponym of fascist; that is, Nazi is a word with a more specific, narrower meaning than fascist:

Other hyponyms of fascist include Blackshirt, falangist, phalangist, fascista, German Nazi.

fascist (noun)	Nazi (noun)
an adherent of fascism or other authoritarian views	a German member of Adolf Hitler's political party

fascist (adjective)	Nazi (adjective)
relating to or characteristic of fascism	relating to a form of socialism
	relating to or consistent with or typical of the ideology and practice of Nazism or the Nazis