order Batoidei vs animal order

order Batoidei and animal order both are nouns.

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

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

order Batoidei: fish with dorsoventrally flattened bodies: rays, skates, guitarfishes, sawfishes, etc.
animal order: the order of animals

order Batoidei (noun)	animal order (noun)
fish with dorsoventrally flattened bodies: rays, skates, guitarfishes, sawfishes, etc.	the order of animals