insurgency vs rebellion

insurgency and rebellion both are nouns.

Word	Noun	Adjective	Verb	Adverb
insurgency	Yes	No	No	No
rebellion	Yes	No	No	No

As nouns, rebellion is a hypernym of insurgency; that is, rebellion is a word with a broader meaning than insurgency:

insurgency: an organized rebellion aimed at overthrowing a constituted government through the use of subversion and armed conflict
rebellion: organized opposition to authority; a conflict in which one faction tries to wrest control from another

Other hypernyms of insurgency include insurrection, revolt, rising, uprising.

insurgency (noun)	rebellion (noun)
an organized rebellion aimed at overthrowing a constituted government through the use of subversion and armed conflict	organized opposition to authority; a conflict in which one faction tries to wrest control from another
	refusal to accept some authority or code or convention