order Edentata vs animal order

order Edentata and animal order both are nouns.

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

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

order Edentata: order of mammals having few or no teeth including: New World anteaters, sloths, armadillos
animal order: the order of animals

order Edentata (noun)	animal order (noun)
order of mammals having few or no teeth including: New World anteaters, sloths, armadillos	the order of animals