Historians give the empire ruled by Charlemagne a name taken from his family line. Which name is it?

Explication

The name is taken from the ruling family whose most famous member was Charlemagne himself, so the empire is labelled after a dynasty rather than after a place, a city or a title. The later western empire of German kings is the confusion worth naming, because it too claimed an imperial title in the west, yet it arose long after the Frankish empire had already been divided up.