genus Lactarius vs fungus genus

genus Lactarius and fungus genus both are nouns.

Word	Noun	Adjective	Verb	Adverb
genus Lactarius	Yes	No	No	No
fungus genus	Yes	No	No	No

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

genus Lactarius: large genus of agarics that have white spore and contain a white or milky juice when cut or broken; includes both edible and poisonous species
fungus genus: includes lichen genera

genus Lactarius (noun)	fungus genus (noun)
large genus of agarics that have white spore and contain a white or milky juice when cut or broken; includes both edible and poisonous species	includes lichen genera