A double clutch transmission of a motor vehicle with a first input shaft (W1) formed as a hollow shaft and a longer, second input shaft (W2) arranged coaxially inside the first input shaft (W1). Each of input shaft is in driving connection, by way of an associated input constant (EK1, EK2), with at least one countershaft (W3a, W3b) arranged axis-parallel to the first and the second input shafts (W1, W2). To avoid jamming of the gearteeth (4, 5a, 5b; 6, 7a, 7b) of the respective, non-load-transmitting input constant (EK1, EK2), the fixed wheel (6), arranged on the associated input shaft (W2) in at least one of the input constants, is arranged in a rotationally fixed manner by first carrier gearteeth (19) on a support sleeve (20) which, in turn, is connected in a rotationally fixed manner by second carrier gearteeth (21, 21′) to the input shaft (W2) concerned.