A dual clutch transmission for a motor vehicle, with gear wheel sets, which can be engaged via shift elements and which form exactly eight wheel planes, which are associated, respectively, with a first sub-transmission and a second sub-transmission, of which each sub-transmission has a respective input shaft and the two sub-transmissions have a common output shaft, which is axis-parallel to the input shafts. The mutually coaxial input shafts can each be activated in alternation via a power-shift clutch, and the even forward gears are associated with the first sub-transmission and the odd forward gears are associated with the second sub-transmission, which can be engaged when a gear shift occurs via the shift elements.