The device has multi-disk clutches comprising an outer multi-disk carrier for outer multi-disks that are frictionally engaged for the torque transmission with inner multi-disks, which are arranged at an inner multi-disk carrier. A coupling unit (100) is attached at the carriers and includes an engaging area (105) to connect the carriers with the associated multi-disks in a torque-proof manner. Fastening fingers (125-127) include free ends (118-120) that are bent to connect a wall unit with a coupling ring. A cover unit formed from plastic is riveted on a front area of the inner carrier.
