puppet state vs regime

puppet state and regime both are nouns.

Word	Noun	Adjective	Verb	Adverb
puppet state	Yes	No	No	No
regime	Yes	No	No	No

As nouns, regime is a hypernym of puppet state; that is, regime is a word with a broader meaning than puppet state:

puppet state: a government that is appointed by and whose affairs are directed by an outside authority that may impose hardships on those governed
regime: the organization that is the governing authority of a political unit

Other hypernyms of puppet state include authorities, government.

puppet state (noun)	regime (noun)
a government that is appointed by and whose affairs are directed by an outside authority that may impose hardships on those governed	(medicine) a systematic plan for therapy (often including diet)
	the organization that is the governing authority of a political unit