gendarmery vs police

gendarmery and police both are nouns.

Word	Noun	Adjective	Verb	Adverb
gendarmery	Yes	No	No	No
police	Yes	No	Yes	No

As nouns, police is a hypernym of gendarmery; that is, police is a word with a broader meaning than gendarmery:

gendarmery: French police force; a group of gendarmes or gendarmes collectively
police: the force of policemen and officers

Other hypernyms of gendarmery include constabulary, law, police force.

gendarmery (noun)	police (noun)
French police force; a group of gendarmes or gendarmes collectively	the force of policemen and officers

gendarmery (verb)	police (verb)
	maintain the security of by carrying out a patrol