Carloman of Bavaria was the eldest grandson of what descendant of Charlemagne?
Louis the German Louis (also Ludwig or Lewis) "the German" (c. 802-876), also known as Louis II, was the first king of East Francia. Grandson of emperor Charlemagne and the third son of emperor of Francia, Louis the Pious and his first wife, Ermengarde of Hesbaye, he received the appellation "Germanicus" shortly after his death in recognition of the fact that the bulk of his kingdom was in the former Germania.
Franz, Duke of Bavaria Franz, Duke of Bavaria (German: "Franz Bonaventura Adalbert Maria Herzog von Bayern"; born 14 July 1933) is head of the House of Wittelsbach, the former ruling family of the Kingdom of Bavaria. His great-grandfather King Ludwig III was the last ruling monarch of Bavaria until deposed in 1918.