The invention relates to a battery cell module that comprises a plurality of battery cells (1), in particular lithium-ion battery cells which are arranged in a packet and each of which has a substantially prismatic cell housing (10). Each cell housing (10) has the three dimensions housing height (11), housing width (12), and housing depth (13). According to the invention, two of the dimensions are carried out in a substantially identical manner in all the battery cells (1) of the battery cell module, and the third dimension is carried out differently in at least two battery cells (1) of the battery cell module. The invention further relates to a battery that comprises at least one battery cell module according to the invention and to a motor vehicle that comprises at least one battery according to the invention.