A battery module, in particular for a battery for driving a vehicle, having a plurality of individual stackable battery cells, and two module end plates. The battery cells are stacked and held between the two module end plates. The battery cells are electrically coupled to one another, and the two module end plates are electrically coupled to the battery cells and each have an electrical contact for connection of the battery module. The battery module has at least one intermediate element, each intermediate element being electrically coupled to adjacent battery cells. Each intermediate element divides the battery module into a plurality of submodules, and each intermediate element electrically connects the submodules. Also described is a battery, in particular for driving a vehicle, having a plurality of the abovementioned battery modules, as well as a vehicle having an electric drive and an abovementioned battery.