Cetacea vs animal order

Cetacea and animal order both are nouns.

Word	Noun	Adjective	Verb	Adverb
Cetacea	Yes	No	No	No
animal order	Yes	No	No	No

As nouns, animal order is a hypernym of Cetacea; that is, animal order is a word with a broader meaning than Cetacea:

Cetacea: an order of Eutheria, containing the whales, dolphins, and porpoises (Cetacea)
animal order: the order of animals

Cetacea (noun)	animal order (noun)
an order of Eutheria, containing the whales, dolphins, and porpoises (Cetacea)	the order of animals