Phasmatodea vs animal order

Phasmatodea and animal order both are nouns.

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

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

Phasmatodea: in some classifications considered a suborder of Orthoptera: stick insects; leaf insects
animal order: the order of animals

Phasmatodea (noun)	animal order (noun)
in some classifications considered a suborder of Orthoptera: stick insects; leaf insects	the order of animals