hush up vs suppress

hush up and suppress both are verbs.

Word	Noun	Adjective	Verb	Adverb
hush up	No	No	Yes	No
suppress	No	No	Yes	No

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

Other hypernyms of hush up include conquer, stamp down, subdue.

hush up (verb)	suppress (verb)
cause to be quiet or not talk	bring under control by force or authority
cover up a misdemeanor, fault, or error	lessen to the point of stopping
	put out of one's consciousness
	consciously restrain from showing; of emotions, desires, impulses, or behavior
	come down on or keep down by unjust use of one's authority