Cyclostomata vs animal order

Cyclostomata and animal order both are nouns.

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

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

Cyclostomata (noun)	animal order (noun)
primitive jawless aquatic vertebrate: lampreys; hagfishes	the order of animals