A contact module is provided for an electrical connector. The contact module includes a carrier and a leadframe held by the carrier. The leadframe includes signal contacts that extend outward from the carrier for mating with corresponding mating signal contacts. A ground shield is mounted to the carrier. The ground shield includes a body configured to extend over at least a portion of the leadframe. The ground shield includes ground contacts configured to mate with corresponding mating ground shields. The ground contacts include groups of spring beams. Each group of spring beams includes at least first and second spring beams that extend from the body of the ground shield in respective different directions.