administer vs administration

administer is not a noun while administration is a noun.

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

administer (noun)	administration (noun)
	a method of tending to or managing the affairs of some group of people (especially the group's business affairs)
	the act of administering medication
	the act of meting out justice according to the law
	the act of governing; exercising authority
	the persons (or committees or departments etc.) who make up a body for the purpose of administering something
	the tenure of a president

administer (verb)	administration (verb)
give or apply (medications)
administer or bestow, as in small portions
perform (a church sacrament) ritually
work in an administrative capacity; supervise or be in charge of
direct the taking of