analgesic vs medication

analgesic and medication both are nouns.

Word	Noun	Adjective	Verb	Adverb
analgesic	Yes	Yes	No	No
medication	Yes	No	No	No

As nouns, medication is a hypernym of analgesic; that is, medication is a word with a broader meaning than analgesic:

analgesic: a medicine used to relieve pain
medication: (medicine) something that treats or prevents or alleviates the symptoms of disease

Other hypernyms of analgesic include medicament, medicinal drug, medicine.

analgesic (noun)	medication (noun)
a medicine used to relieve pain	the act of treating with medicines or remedies
	(medicine) something that treats or prevents or alleviates the symptoms of disease

analgesic (adjective)	medication (adjective)
capable of relieving pain