put up vs countenance

put up is not a noun while countenance is a noun.

Word	Noun	Adjective	Verb	Adverb
put up	No	No	Yes	No
countenance	Yes	No	Yes	No

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

Other hypernyms of put up include allow, let, permit.

put up (noun)	countenance (noun)
	the appearance conveyed by a person's face
	the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
	formal and explicit approval

put up (verb)	countenance (verb)
preserve in a can or tin	consent to, give permission; permit
put up with something or somebody unpleasant
propose as a candidate for some honor
place so as to be noticed
construct, build, or erect
make available for sale at an auction
provide
provide someone with accomodation
mount or put up