order Thysanura vs animal order

order Thysanura and animal order both are nouns.

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

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

order Thysanura (noun)	animal order (noun)
firebrats, silverfish, machilids	the order of animals