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.
Wilhelminers The Wilhelminers were a noble Bavarian family of the 9th century. They rose to prominence mid-century under the brothers William and Engelschalk I, sons of William I, the founder of the family. The family held the March of Pannonia until 871, but their possession of it was the cause of a dispute, the Wilhelminer War, with the Aribonids. In the dispute the Wilhelminers had the support of Arnulf of Carinthia and Svatopluk of Moravia.