Gearbox and drive train with a gearbox

A transmission for a motor vehicle, the transmission comprising:

• a housing;
• a transmission input shaft operable to couple to and decouple from a drive assembly of the motor vehicle;
• a transmission output shaft operable to couple to and decouple from an axle drive of the motor vehicle;
• a first element of a first planetary gear set permanently coupled to a first element of a second planetary gear set via a shiftable intermediate shaft between the transmission input shaft and the transmission output shaft, wherein the second planetary gear set is disposed behind the first planetary gear set;
• an electric machine permanently coupled to the intermediate shaft;
• a second element of the second planetary gear set permanently coupled to the transmission output shaft;
• a first form-locking shift element of the transmission input shaft operable to shift between a first and second shift setting of the first form-locking shift element, wherein, in the first shifting setting of the first form-locking shift element, the transmission input shaft is coupled directly to the transmission output shaft and, in the second shifting setting of the first form-locking shift element, the transmission input shaft is coupled to a second element of the first planetary gear set;
• a second form-locking shift element of the transmission input shaft operable to shift between a first and second shift setting of the second form-locking shift element, wherein, in the first shifting setting of the second form-locking shift element, a third element of the second planetary gear set is firmly attached to the housing and, in the second shifting setting of the second form-locking shift element, the third element of the second planetary gear set is coupled to the second element of the second planetary gear set or to the first element of the second planetary gear set so as to bypass the second planetary gear set in a block cycle.