family Lobotidae vs fish family

family Lobotidae and fish family both are nouns.

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

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

family Lobotidae (noun)	fish family (noun)
tripletails	any of various families of fish