Transmission for a vehicle

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

• a transmission input (GW1-A);
• a transmission output (GW2-A);
• a main gear set (HS) having two planetary gear sets (P1, P2);
• a plurality of shift elements with a first shift element (B1), a second shift element (K1), a third shift element (K2), a fourth shift element (K3) and a fifth shift element shift element (B2);
• and
• an upstream gear set (VS) having a planetary gear set (P3) with a plurality of elements (E13, E23, E33;
• E13′, E23′, E33′;
• E13″, E23″, E33″) including a ring gear (HO3), a planetary carrier (ST3) and a sun gear (SO3),
• wherein the main gear set (HS) includes exactly five shafts, designated in order of rotation speed as the first shaft (W1), the second shaft (W2), the third shaft (W3), the fourth shaft (W4) and the fifth shaft (W5),
• wherein the in-order-of-rotation-speed fourth shaft (W4) is permanently connected to the transmission output (GW2-A),
• wherein the in-order-of-rotation-speed first shaft (W1) is either fixable by engaging the first shift element (B1) or connectable in a rotationally fixed manner with the transmission input (GW1-A) by actuating the second shift element (K1);
• wherein the in-order-of-rotation-speed second shaft (W2) is connectable in a rotationally fixed manner with the transmission input (GW1-A) by actuating the third shift element (K2),
• wherein the in-order-of-rotation-speed third shaft (W3) is connectable in a rotationally fixed manner with the transmission input (GW1-A) by actuating the fourth shift element (K3), and
• wherein the in-order-of-rotation-speed fifth shaft (W5) is fixable by engaging the fifth shift element (B2).