order Primulales vs plant order

order Primulales and plant order both are nouns.

Word	Noun	Adjective	Verb	Adverb
order Primulales	Yes	No	No	No
plant order	Yes	No	No	No

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

order Primulales: Primulaceae, Theophrastaceae, Myrsinaceae, and (in some classifications) Plumbaginaceae
plant order: the order of plants

order Primulales (noun)	plant order (noun)
Primulaceae, Theophrastaceae, Myrsinaceae, and (in some classifications) Plumbaginaceae	the order of plants