A dual clutch transmission for a motor vehicle, having a dual clutch with two start up clutches which, via a prime mover, can be respectively connected with one of first and second transmission input shafts arranged coaxially in relation to each other, such that a group of gears is allocated to each of the transmission input shafts. To minimize the size of the transmission, the gear groups are constructed as sub-transmissions that are mounted laterally with respect to the dual clutch. Each gear group has a counter shaft and a main shaft, with the main shaft being a transmission output shaft. Each sub-transmission has a single sub-transmission connection that transmits drive from the associated transmission input shaft to the counter shaft of the sub-transmission.