hugger mugger vs conduct

hugger mugger is not a noun while conduct is a noun.

Word	Noun	Adjective	Verb	Adverb
hugger mugger	No	No	Yes	No
conduct	Yes	No	Yes	No

As verbs, conduct is a hypernym of hugger mugger; that is, conduct is a word with a broader meaning than hugger mugger:

hugger mugger: act stealthily or secretively
conduct: behave in a certain manner; show a certain behavior; conduct or comport oneself

Other hypernyms of hugger mugger include acquit, act, bear, behave, carry, comport, deport, do.

hugger mugger (noun)	conduct (noun)
	manner of acting or controlling yourself
	(behavioral attributes) the way a person behaves toward other people

hugger mugger (verb)	conduct (verb)
act stealthily or secretively	behave in a certain manner; show a certain behavior; conduct or comport oneself
	lead, as in the performance of a composition
	lead musicians in the performance of
	transmit or serve as the medium for transmission
	take somebody somewhere
	direct the course of; manage or control