institution vs infirmary

institution and infirmary both are nouns.

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

As nouns, infirmary is a hypernym of institution; that is, infirmary is a word with a broader meaning than institution:

Other hypernyms of institution include hospital.

institution (noun)	infirmary (noun)
the act of starting something for the first time; introducing something new	a health facility where patients receive treatment
an establishment consisting of a building or complex of buildings where an organization for the promotion of some cause is situated
a hospital for mentally incompetent or unbalanced person
a custom that for a long time has been an important feature of some group or society
an organization founded and united for a specific purpose