Franciscan vs mendicant

Franciscan and mendicant both are nouns.

Word	Noun	Adjective	Verb	Adverb
Franciscan	Yes	Yes	No	No
mendicant	Yes	Yes	No	No

As nouns, mendicant is a hypernym of Franciscan; that is, mendicant is a word with a broader meaning than Franciscan:

Franciscan: a Roman Catholic friar wearing the grey habit of the Franciscan order
mendicant: a male member of a religious order that originally relied solely on alms

Other hypernyms of Franciscan include friar.

Franciscan (noun)	mendicant (noun)
a Roman Catholic friar wearing the grey habit of the Franciscan order	a pauper who lives by begging
	a male member of a religious order that originally relied solely on alms

Franciscan (adjective)	mendicant (adjective)
of or relating to Saint Francis of Assisi or to the order founded by him	practicing beggary