pettifoggery vs quarrel

pettifoggery and quarrel both are nouns.

Word	Noun	Adjective	Verb	Adverb
pettifoggery	Yes	No	No	No
quarrel	Yes	No	Yes	No

As nouns, quarrel is a hypernym of pettifoggery; that is, quarrel is a word with a broader meaning than pettifoggery:

Other hypernyms of pettifoggery include dustup, row, run-in, words, wrangle.

pettifoggery (noun)	quarrel (noun)
a quarrel about petty points	an arrow that is shot from a crossbow; has a head with four edges
	an angry dispute

pettifoggery (verb)	quarrel (verb)
	have a disagreement over something