family Felidae vs mammal family

family Felidae and mammal family both are nouns.

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

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

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

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