Geastraceae vs fungus family

Geastraceae and fungus family both are nouns.

Word	Noun	Adjective	Verb	Adverb
Geastraceae	Yes	No	No	No
fungus family	Yes	No	No	No

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

Geastraceae: a family of earthstar fungi belonging to the order Lycoperdales
fungus family: includes lichen families

Geastraceae (noun)	fungus family (noun)
a family of earthstar fungi belonging to the order Lycoperdales	includes lichen families