Coupling for a load carrier system with a contact unit

The coupling has a vehicle-holder (13k) fastened at a rear of a motor vehicle and a fastening arm (51k) of a carrier (50k) fastened at the vehicle-holder. A fastening medium is provided for fastening a vehicle-contact with a play longitudinal or cross-sectional to a stud axle (20) at the vehicle-holder or carrier-contact (371) at the fastening arm. The vehicle contact has a vehicle contact unit (340).