lawgiver vs promulgator

lawgiver and promulgator both are nouns.

Word	Noun	Adjective	Verb	Adverb
lawgiver	Yes	No	No	No
promulgator	Yes	No	No	No

As nouns, promulgator is a hyponym of lawgiver; that is, promulgator is a word with a more specific, narrower meaning than lawgiver:

lawgiver: a maker of laws; someone who gives a code of laws
promulgator: (law) one who promulgates laws (announces a law as a way of putting it into execution)

Other hyponyms of lawgiver include legislator.

lawgiver (noun)	promulgator (noun)
a maker of laws; someone who gives a code of laws	(law) one who promulgates laws (announces a law as a way of putting it into execution)