sexism vs favoritism

sexism and favoritism both are nouns.

Word	Noun	Adjective	Verb	Adverb
sexism	Yes	No	No	No
favoritism	Yes	No	No	No

As nouns, favoritism is a hypernym of sexism; that is, favoritism is a word with a broader meaning than sexism:

sexism: discriminatory or abusive behavior towards members of the opposite sex
favoritism: unfair treatment of a person or group on the basis of prejudice

Other hypernyms of sexism include discrimination, favouritism.

sexism (noun)	favoritism (noun)
discriminatory or abusive behavior towards members of the opposite sex	unfair treatment of a person or group on the basis of prejudice
	an inclination to favor some person or group