order Diptera vs animal order

order Diptera and animal order both are nouns.

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

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

order Diptera: a large order of insects having a single pair of wings and sucking or piercing mouths; includes true flies and mosquitoes and gnats and crane flies
animal order: the order of animals

order Diptera (noun)	animal order (noun)
a large order of insects having a single pair of wings and sucking or piercing mouths; includes true flies and mosquitoes and gnats and crane flies	the order of animals