reputation vs fame

reputation and fame both are nouns.

Word	Noun	Adjective	Verb	Adverb
reputation	Yes	No	No	No
fame	Yes	No	No	No

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

Other hyponyms of reputation include black eye, stock, character, name.

reputation (noun)	fame (noun)
the general estimation that the public has for a person	the state or quality of being widely honored and acclaimed
the state of being held in high esteem and honor	favorable public reputation
notoriety for some particular characteristic