Mullidae vs fish family

Mullidae and fish family both are nouns.

Word	Noun	Adjective	Verb	Adverb
Mullidae	Yes	No	No	No
fish family	Yes	No	No	No

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

Mullidae (noun)	fish family (noun)
goatfishes or red mullets	any of various families of fish