A rechargeable battery that can improve heat dissipating characteristics is provided. The rechargeable battery includes: an electrode group including a positive electrode; an electrode group that has at least one terminal; a case that defines a recess that receives the electrode group wherein the case includes an opening that provides access to the recess; a film cover that extends over the opening so as to secure the electrode group within the recess of the case; and a heat dissipating member positioned on the case so as extend outward from the case to dissipate heat from the recess containing the electrode group. Multiple batteries can be assembled into modules where the batteries are stacked so that the film covers are protected from external impact.