Rheiformes vs animal order

Rheiformes and animal order both are nouns.

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

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

Rheiformes: a ratite bird order: birds intermediate in characteristics between ostriches and emus: recent and extinct rheas
animal order: the order of animals

Rheiformes (noun)	animal order (noun)
a ratite bird order: birds intermediate in characteristics between ostriches and emus: recent and extinct rheas	the order of animals