oyster fungus vs agaric

oyster fungus and agaric both are nouns.

Word	Noun	Adjective	Verb	Adverb
oyster fungus	Yes	No	No	No
agaric	Yes	No	No	No

As nouns, agaric is a hypernym of oyster fungus; that is, agaric is a word with a broader meaning than oyster fungus:

oyster fungus: edible agaric with a soft greyish cap growing in shelving masses on dead wood
agaric: a saprophytic fungus of the order Agaricales having an umbrellalike cap with gills on the underside

oyster fungus (noun)	agaric (noun)
edible agaric with a soft greyish cap growing in shelving masses on dead wood	a saprophytic fungus of the order Agaricales having an umbrellalike cap with gills on the underside
	fungus used in the preparation of punk for fuses