A transmission for a motor vehicle is provided that includes, but is not limited to, a drive shaft and at least two countershafts which can be driven by the drive shaft with opposite rotational directions. A first one of the countershafts carries a hollow shaft which can be fixed to the first countershaft and on which a first driven gearwheel is rotationally fixed. Further, on the hollow shaft, a second gearwheel is rotatably attached which meshes with a fixed gearwheel of the second countershaft. A selector sleeve is rotationally fixed on the hollow shaft and is displaceable between an engagement position at a selector gearing of the second gearwheel and an engagement position at a selector gearing of the first countershaft.