reputation vs ill fame

reputation and ill fame both are nouns.

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

As nouns, ill fame is a hypernym of reputation; that is, ill fame is a word with a broader meaning than reputation:

Other hypernyms of reputation include notoriety.

reputation (noun)	ill fame (noun)
the general estimation that the public has for a person	the state of being known for some unfavorable act or quality
the state of being held in high esteem and honor
notoriety for some particular characteristic