A dual-clutch group transmission having splitter, main and range groups. The range group is a planetary transmission with a ring gear, a sun gear and planetary gears that are supported by a carrier. Inner and outer transmission input shafts are connected to a respective first and second clutch. A main transmission shaft and shifting elements for engaging gears or forming frictional connections. Power-gearshifts, involving a shift of the range group, are enabled because the inner input shaft can be directly connected, via a shift element, to the main shaft. A hollow shaft extends coaxially over the main shaft and supports a loose wheel of a forward gear of the main group. The wheel can be rotationally fixed, via a shift element, to the hollow shaft which can be connected to the main shaft and the carrier by respective shifting elements.