order Conodonta vs animal order

order Conodonta and animal order both are nouns.

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

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

order Conodonta: extinct order of primitive vertebrates; the precise taxonomy is not clear; in some classifications considered a separate phylum
animal order: the order of animals

order Conodonta (noun)	animal order (noun)
extinct order of primitive vertebrates; the precise taxonomy is not clear; in some classifications considered a separate phylum	the order of animals