A battery module, comprising - a plurality of first battery cell groups (15, 15.1, 15.2) and a plurality of second battery cell groups (16, 16.1, 16.2); wherein - at least one of the first battery cell groups (15, 15.1, 15.2) is arranged adjacent to at least one of the second battery cell groups (16, 16.1, 16.2); wherein - each of the first battery cell groups (15, 15.1, 15.2) and each of the second battery cell groups (16, 16.1, 16.2) comprises a plurality of stacked prismatic battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7); wherein - the first battery cell groups (15, 15.1, 15.2) and second battery cell groups (16, 16.1, 16.2) are alternatingly stacked; and wherein - the battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of the first battery cell group (15, 15.1, 15.2) are oriented orthogonally to the battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of the second battery cell group (16, 16.1, 16.2), - each of the battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) has a narrow side surface (32, 32.1, 32.2, 32.3, 32.4, 32.5, 32.6, 32.7) and a longitudinal side surface, wherein the longitudinal side surfaces correspond to the largest flat surfaces of the battery cells; characterized in that, - the first battery cell groups (15, 15.1, 15.2) and the second battery cell groups (16, 16.1, 16.2) are arranged so that one battery cell (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of the first battery cell group (15, 15.1, 15.2) is arranged to touch, with its longitudinal side surface, a plurality of, or each of, the cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of a neighboring second battery cell group (16, 16.1, 16.2) at their narrow side surfaces (32, 32.1, 32.2, 32.3, 32.4, 32.5, 32.6, 32.7). - a plurality of first battery cell groups (15, 15.1, 15.2) and a plurality of second battery cell groups (16, 16.1, 16.2); wherein - at least one of the first battery cell groups (15, 15.1, 15.2) is arranged adjacent to at least one of the second battery cell groups (16, 16.1, 16.2); wherein - each of the first battery cell groups (15, 15.1, 15.2) and each of the second battery cell groups (16, 16.1, 16.2) comprises a plurality of stacked prismatic battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7); wherein - the first battery cell groups (15, 15.1, 15.2) and second battery cell groups (16, 16.1, 16.2) are alternatingly stacked; and wherein - the battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of the first battery cell group (15, 15.1, 15.2) are oriented orthogonally to the battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of the second battery cell group (16, 16.1, 16.2), - each of the battery cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) has a narrow side surface (32, 32.1, 32.2, 32.3, 32.4, 32.5, 32.6, 32.7) and a longitudinal side surface, wherein the longitudinal side surfaces correspond to the largest flat surfaces of the battery cells; - the first battery cell groups (15, 15.1, 15.2) and the second battery cell groups (16, 16.1, 16.2) are arranged so that one battery cell (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of the first battery cell group (15, 15.1, 15.2) is arranged to touch, with its longitudinal side surface, a plurality of, or each of, the cells (20, 20.1, 20.2, 20.3, 20.4, 20.5, 20.6, 20.7) of a neighboring second battery cell group (16, 16.1, 16.2) at their narrow side surfaces (32, 32.1, 32.2, 32.3, 32.4, 32.5, 32.6, 32.7).