A friction disc has a flat carrier ring which includes a first surface and a second surface, wherein a first annular friction lining is arranged on the first surface, the first annular friction lining including a geometry that deviates from the circular ring shape, wherein the carrier ring also includes the geometry of the first friction lining, each as viewed in the axial direction, and/or the first annular friction lining including at least one opening in the axial direction, which extends in the axial direction also through the carrier ring, wherein the opening is formed to start at the inner circumference or at the outer circumference of the carrier ring.