Multi-speed transmission

A multi-speed transmission of a planetary design for an automatic transmission of a motor vehicle, the transmission comprising:

• an input shaft (1) and an output shaft (2) which are arranged in a housing (G);
• first, second and third planetary gear sets (P1, P2, P3), and each of the first, the second and the third planetary gear sets (P1, P2, P3) comprising a sun gear, a carrier and an internal gear;
• at least third, fourth, fifth and sixth rotatable shafts (1, 2, 3, 4, 5, 6) as well as at least five control elements (03,04, 13, 14, 16), comprising first and second brakes (03, 04) and first, second and third clutches (13, 14, 16), whose selective engagement creates different gear ratios between the input shaft (1) and the output shaft (2) so that at least six forward gears and one reverse gear can be implemented;
• wherein the input shaft (1) is detachably connectable, via the third clutch (16), to the sixth shaft (6), via the first clutch (13), to the third shaft (3) and, via the second clutch (14), to the fourth shaft (4);
• the sixth shaft (6) is permanently connected to the sun gear of the second planetary gear set (P2) and the sun gear of the third planetary gear set (P3);
• the third shaft (3) is permanently connected to the carrier of the second planetary gear set (P2) and the internal gear of the third planetary gear set (P3) and is couplable to the housing (G), via the first brake (03);
• the fourth shaft (4) is permanently connected to the sun gear of the first planetary gear set (P1) and is couplable to the housing (G), via the second brake (04);
• the fifth shaft (5) is permanently connected to the carrier of the first planetary gear set (P1) and the internal gear of the second planetary gear set (P2);
• the output shaft (2) is permanently connected to the carrier of the third planetary gear set (P3);
• and
• the internal gear of the first planetary gear set (P1) is fixedly connected to the housing (G).