Transmission for an integral differential, integral differential and drive train

An integral differential (10) for a drive train (20) of a motor vehicle, the integral differential (10) comprising:

• an input shaft;
• a first output shaft (16);
• a second output shaft (17);
• a fixed housing part (9);
• a first planetary gear set (6) defining an axis of rotation, the first planetary gear set (6) comprising:
• a planet carrier (2) fixed to the fixed housing part (9);
• planetary bearings (7);
• planet gears (3), each of the planet gears (3) being rotatably mounted on the planet carrier (2) via at least one respective bearing of the planetary bearings (7);
• a sun gear (4) meshing with the planet gears (3);
• and
• a ring gear (5) meshing with the planet gears (3);
• and
• a second planetary gear set (14) operatively connected to the first planetary gear set (6),
• wherein the first planetary gear (6) set is drivingly connected to the first output shaft (16) and the second planetary gear set (14) is drivingly connected to the input shaft and the second output shaft (17),
• wherein the planet carrier (2) is rotationally fixed with respect to the fixed housing part (9) via a tooth system (13), and
• wherein the tooth system (13) only allows the planet carrier (2) to be installed in one position.