wish vs felicitate

wish is a noun but felicitate is not a noun.

Word	Noun	Adjective	Verb	Adverb
wish	Yes	No	Yes	No
felicitate	No	No	Yes	No

As verbs, felicitate is a hyponym of wish; that is, felicitate is a word with a more specific, narrower meaning than wish:

Other hyponyms of wish include congratulate.

wish (noun)	felicitate (noun)
the particular preference that you have
an expression of some desire or inclination
(usually plural) a polite expression of desire for someone's welfare
a specific feeling of desire

wish (verb)	felicitate (verb)
invoke upon	express congratulations
order politely; express a wish for
make or express a wish
feel or express a desire or hope concerning the future or fortune of
to hope, to desire or to prefer to have something, or to do something