order Sirenia vs animal order

order Sirenia and animal order both are nouns.

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

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

order Sirenia: an animal order including: manatees, dugongs, Steller's sea cow
animal order: the order of animals

order Sirenia (noun)	animal order (noun)
an animal order including: manatees, dugongs, Steller's sea cow	the order of animals