A socket for driving a fastener, which head are or have become damaged to enable a wrenching tool to drive, includes a hole defining an inner peripheral edge. The inner peripheral edge defines a plurality of engaging sides and slots. Each engaging side includes first, second, and third sections, and the first section extends from one slot and approaches to a center of the hole, and the second section extends from the first section and away from the center of the hole, and the third section extends from the second section and towards and connects to another slot.