draw up vs plan

draw up is not a noun while plan is a noun.

Word	Noun	Adjective	Verb	Adverb
draw up	No	No	Yes	No
plan	Yes	No	Yes	No

As verbs, plan is a hypernym of draw up; that is, plan is a word with a broader meaning than draw up:

draw up (noun)	plan (noun)
	scale drawing of a structure
	a series of steps to be carried out or goals to be accomplished
	an arrangement scheme

draw up (verb)	plan (verb)
make up plans or basic details for	make plans for something
come to a halt after driving somewhere	have the will and intention to carry out some action
cause (a vehicle) to stop	make or work out a plan for; devise
straighten oneself
form or arrange in order or formation, as of a body of soldiers