Transmission, hybrid drive train, and drive train for an electric vehicle

A transmission, comprising

• a transmission input shaft;
• a transmission output shaft;
• a plurality of shift elements;
• a main gear set comprising a first planetary gear set a second planetary gear set, the first and second planetary gear sets of the main gear set collectively comprising four shafts designated in order of rotational speeds as a first shaft, a second shaft, a third shaft and a fourth shaft, at least one power path formable between the transmission input shaft and the main gear set, the at least one power path connectable through at least one shift element of the plurality of shift elements to at least one of the four shafts, the third shaft of the four shafts connected to the transmission output shaft;
• an auxiliary gear set comprising a planetary gear set, the planetary gear set of the auxiliary gear set comprising three shafts;
• and
• an electric motor with a rotor and a stator, a first shaft of the three shafts constantly connected to the rotor,
• wherein a second shaft of the three shafts is connectable through a first auxiliary shift element to the first shaft of the four shafts or the second shaft of the four shafts,
• wherein the second shaft of the three shafts is connectable through a second auxiliary shift element to the fourth shaft of the four shafts,
• wherein a third shaft of the three shafts is constantly connected to the third shaft of the four shafts, and
• wherein either the first auxiliary shift element or the second auxiliary shift element is locked during operation of the transmission.