Abstract: In a clutch (6) for locking a differential gear for a vehicle, a movable half (60) of the clutch (6) is pushed indirectly via a sliding sleeve (70) and intermediate members (77) in an engaging direction. Then the sliding sleeve (70), with a locking surface (74), retains the intermediate members (77) firmly in a locking position between a bearing surface (64) of the movable half (60) and an axially stationary retaining surface (4). Flanks (52, 62) of clutch teeth (51, 61) of an axially stationary half (50) and of the movable half (60) form in the axle direction a deflection angle (55). The bearing surface (64) and the retaining surface (4) form a wedge angle (65). The locking surface (74) of the sliding sleeve (70) is inclined in an axial direction forming a small releasing angle (75). To open the clutch (6), the sliding sleeve (70) is pulled away. A torque produces through the deflection angle (55) an axial deflection force which then disengages the clutch (6).