Transmission for a motor vehicle

A transmission (G) for a motor vehicle, comprising:

• an electric machine (EM1);
• a first input shaft (GW1);
• a second input shaft (GW2);
• an output shaft (GWA);
• a first planetary gear set (P1), a second planetary gear set (P2), and a third planetary gear set (P3), each of the first, second, and third planetary gear sets (P1, P2, P3) respectively comprising a first element (E11, E21, E31), a second element (E12, E22, E32), and a third element (E13, E23, E33);
• and
• a plurality of shift elements comprising a first shift element (A), a second shift element (B), a third shift element (C), a fourth shift element (D), a fifth shift element (E), and a sixth shift element (F),
• wherein a rotor (R1) of the electric machine (EM1) is connected to the second input shaft (GW2),
• wherein the first input shaft (GW1) is rotationally fixed to the second element (E21) of the first planetary gear set (P1),
• wherein the output shaft (GWA) is rotationally fixed to the third element (E31) of the first planetary gear set (P1),
• wherein the second input shaft (GW2) is connected in a rotationally fixed manner to the third element (E32) of the second planetary gear set (P2),
• wherein the first element (E12) of the second planetary gear set (P2) is fixed,
• wherein two of the first, second, and third elements (El 1, E21, E31) of the first planetary gear set (P1) are connectable to each other in a rotationally fixed manner via the second shift element (B),
• wherein the first element (El 1) of the first planetary gear set (P1) is fixable by the third shift element (C),
• wherein the second element (E22) of the second planetary gear set (P2) is bringable into a rotationally fixed connection with the first input shaft (GW1) via the fourth shift element (D), and
• wherein the first input shaft (GW1) is connectable to the second input shaft (GW2) in a rotationally fixed manner by the fifth shift element (E).