order Liliales vs plant order

order Liliales and plant order both are nouns.

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

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

order Liliales: an order of monocotyledonous plants including Amaryllidaceae and Liliaceae and Iridaceae
plant order: the order of plants

order Liliales (noun)	plant order (noun)
an order of monocotyledonous plants including Amaryllidaceae and Liliaceae and Iridaceae	the order of plants