Phasmida vs animal order

Phasmida and animal order both are nouns.

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

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

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

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