A battery cell module includes a plurality of battery cells, in particular lithium-ion battery cells which are arranged in a packet and each of which has a substantially prismatic cell housing. Each cell housing has the three dimensions: housing height, housing width, and housing depth. Two of the dimensions are carried out in a substantially identical manner in all the battery cells of the battery cell module, and the third dimension is carried out differently in at least two battery cells of the battery cell module. A battery includes said battery cell module and a motor vehicle includes said battery.