administer vs supervise

administer and supervise both are verbs.

Word	Noun	Adjective	Verb	Adverb
administer	No	No	Yes	No
supervise	No	No	Yes	No

As verbs, supervise is a hyponym of administer; that is, supervise is a word with a more specific, narrower meaning than administer:

administer: work in an administrative capacity; supervise or be in charge of
supervise: watch and direct

Other hyponyms of administer include pontificate, manage, oversee, superintend.

administer (verb)	supervise (verb)
give or apply (medications)	keep tabs on; keep an eye on; keep under surveillance
administer or bestow, as in small portions	watch and direct
perform (a church sacrament) ritually
work in an administrative capacity; supervise or be in charge of
direct the taking of