Actuator device for a gearbox of a motor vehicle and corresponding gearbox for a motor vehicle

A transmission of a motor vehicle, comprising an actuator device, said actuator device comprising

• a plurality of selector shafts displaceable into a first direction between multiple selection positions and in a second direction between multiple shifting positions, each said selector shafts having a connecting shaft, which in at least one of the selection positions is operatively connected with at least one selector rail of the transmission for transmitting a movement of the selector shaft in the second direction to the selector rail, wherein the selector shafts are mounted relative to each other so as to be movable relative to each other in the first direction and to be fixed relative to each other in the second direction;
• a plurality of first setting devices, wherein the selection positions of the selector shafts are settable independent of each other by the first setting devices;
• and
• a second setting device, wherein the selector shafts are displaceable together between the shifting positions by the second setting device, so that all selector shafts are always present in the same shifting position, and wherein the selector shafts are operatively connected with the second setting device via an intermediate shaft,
• wherein the intermediate shaft is rotatable about a rotation axis but fixed in an axial direction, wherein shaft-hub-connections are provided between the intermediate shaft and the selector shafts, so that the selector shafts are displaceable in the axial direction relative to the intermediate shaft.