insolence vs hutzpah

insolence and hutzpah both are nouns.

Word	Noun	Adjective	Verb	Adverb
insolence	Yes	No	No	No
hutzpah	Yes	No	No	No

As nouns, hutzpah is a hyponym of insolence; that is, hutzpah is a word with a more specific, narrower meaning than insolence:

insolence: the trait of being rude and impertinent; inclined to take liberties
hutzpah: (Yiddish) unbelievable gall; insolence; audacity

Other hyponyms of insolence include chutzpa, chutzpah.

insolence (noun)	hutzpah (noun)
an offensive disrespectful impudent act	(Yiddish) unbelievable gall; insolence; audacity
the trait of being rude and impertinent; inclined to take liberties