gesture vs facepalm

gesture and facepalm both are nouns.

Word	Noun	Adjective	Verb	Adverb
gesture	Yes	No	Yes	No
facepalm	Yes	No	No	No

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

gesture: motion of hands or body to emphasize or help to express a thought or feeling
facepalm: the act of putting your hand to cover your face to show disappointment or despair

Other hyponyms of gesture include jab, jabbing, poke, poking, thrust, thrusting, mudra.

gesture (noun)	facepalm (noun)
motion of hands or body to emphasize or help to express a thought or feeling	the act of putting your hand to cover your face to show disappointment or despair
something done as an indication of intention
the use of movements (especially of the hands) to communicate familiar or prearranged signals

gesture (verb)	facepalm (verb)
show, express or direct through movement