Bearing for a gearwheel which serves as a reversing gear and as a shiftable free gear

A transmission for a motor vehicle featured with an internal combustion engine, wherein the transmission has an input shaft, an output shaft and main shafts, on which transmission gear wheels are arranged, which in each case form gear pairings and of which at least one can be selectively locked by means of a selector sleeve on its respective transmission shaft, wherein one of the gear wheels is configured as a helical reversing gear wheel and can be engaged selectively for a forward gear pairing or for a reverse gear pairing, wherein the reversing gear wheel is mounted on a dual-row cylinder roller bearing with left-hand cylinder rollers and with right-hand cylinder rollers, which are supported on the inside, in each case, on a circular centre rim in the reversing gear wheel, the left-hand cylinder rollers and the right-hand cylinder rollers being held in a bearing cage, the bearing cage being configured in such a way that the force flow for axial forces between the reversing gear wheel and its transmission shaft, omitting the bearing cage, is introduced through the centre rim and by way of end faces of the cylinder rollers directly adjacent thereto and through adjacent components into the input shaft.