order Odonata vs animal order

order Odonata and animal order both are nouns.

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

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

order Odonata (noun)	animal order (noun)
dragonflies and damselflies	the order of animals