institution vs charity

institution and charity both are nouns.

Word	Noun	Adjective	Verb	Adverb
institution	Yes	No	No	No
charity	Yes	No	No	No

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

institution (noun)	charity (noun)
the act of starting something for the first time; introducing something new	an activity or gift that benefits the public at large
an establishment consisting of a building or complex of buildings where an organization for the promotion of some cause is situated	a kindly and lenient attitude toward people
a hospital for mentally incompetent or unbalanced person	a foundation created to promote the public good (not for assistance to any particular individuals)
a custom that for a long time has been an important feature of some group or society	an institution set up to provide help to the needy
an organization founded and united for a specific purpose	pinnate-leaved European perennial having bright blue or white flowers