sawdust mushroom vs agaric

sawdust mushroom and agaric both are nouns.

Word	Noun	Adjective	Verb	Adverb
sawdust mushroom	Yes	No	No	No
agaric	Yes	No	No	No

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

sawdust mushroom: an edible agaric found in piles of hardwood sawdust; the caps are black and coarsely wrinkled
agaric: a saprophytic fungus of the order Agaricales having an umbrellalike cap with gills on the underside

sawdust mushroom (noun)	agaric (noun)
an edible agaric found in piles of hardwood sawdust; the caps are black and coarsely wrinkled	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