mug vs stick up

mug is a noun but stick up is not a noun.

Word	Noun	Adjective	Verb	Adverb
mug	Yes	No	Yes	No
stick up	No	No	Yes	No

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

Other hypernyms of mug include hold up.

mug (noun)	stick up (noun)
with handle and usually cylindrical
the human face (`kisser' and `smiler' and `mug' are informal terms for `face' and `phiz' is British)
a person who is gullible and easy to take advantage of
the quantity that can be held in a mug

mug (verb)	stick up (verb)
To stare awkwardly	defend against attack or criticism
rob at gunpoint or with the threat of violence	rob at gunpoint or by means of some other threat