order Hemiptera vs animal order

order Hemiptera and animal order both are nouns.

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

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

order Hemiptera: plant bugs, bedbugs, some true bugs; also includes suborders Heteroptera (true bugs) and Homoptera (e.g., aphids, plant lice and cicadas)
animal order: the order of animals

order Hemiptera (noun)	animal order (noun)
plant bugs, bedbugs, some true bugs; also includes suborders Heteroptera (true bugs) and Homoptera (e.g., aphids, plant lice and cicadas)	the order of animals