Felidae vs mammal family

Felidae and mammal family both are nouns.

Word	Noun	Adjective	Verb	Adverb
Felidae	Yes	No	No	No
mammal family	Yes	No	No	No

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

Felidae (noun)	mammal family (noun)
cats, wildcats, lions, leopards, cheetahs, saber-toothed tigers	a family of mammals