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.
Rudolph, Duke of Lorraine Rudolph (1320 – 26 August 1346), called the Valiant ("le Vaillant"), was the Duke of Lorraine from 1329 to his death. He was the son and successor of Frederick IV and Elisabeth, daughter of Albert I of Germany. Though he was but nine years of age when his father died and he succeeded to the duchy under the regency of his mother (until 1334), he was a warrior prince, taking part in four separate wars in Lorraine, France, Brittany, and Iberia. He was killed at the Battle of Crécy.