as required , detailed embodiments of the present invention are disclosed herein ; however , it is to be understood that the disclosed embodiments are merely exemplary of the invention that may be embodied in various and alternative forms . the figures are not necessarily to scale ; some features may be exaggerated or minimized to show details of particular components . therefore , specific structural and functional details disclosed herein are not to be interpreted as limiting , but merely as a representative basis for teaching one skilled in the art to variously employ the present invention . the transmission illustrated in fig1 to 12 is a dual clutch transmission having four gearwheel pairs of fixed wheels and freely rotating wheels , in which the four gearwheel pairs are indicated by the numbers 1 to 4 and the reverse gear is indicated by r , in each case with a square boundary . the dual clutch transmission 1 illustrated in fig1 comprises two friction clutches 2 and 3 known per se , said clutches transmitting the power flow supplied by an engine 4 selectively to two input shafts . the input shafts are designed as an inner shaft 5 and an outer shaft 6 , wherein the inner shaft 5 extends coaxially through the outer shaft 6 . two gearwheels 7 and 8 are arranged for conjoint rotation on the outer shaft 6 . the inner shaft 5 projects by a certain amount from the outer shaft 6 within the transmission case ( not shown in the drawing ), wherein two gearwheels 11 and 17 connected for conjoint rotation to the inner shaft 5 are arranged on the end of the inner shaft 5 which projects from the outer shaft 6 . two intermediate shafts 13 and 14 are furthermore provided , on which shafts gearwheels are likewise arranged . the gearwheels arranged on the intermediate shafts 13 , 14 are rotatably mounted as freely rotating wheels and can be connected for conjoint rotation to the intermediate shafts 13 and 14 by means of coupling devices according to the selection of the desired gear . in the illustrative embodiment shown , gearwheel 8 , which is seated on the outer shaft 6 , meshes with a gearwheel 24 , which is arranged rotatably on the first intermediate shaft 13 , while the gearwheel 7 of the outer shaft 6 is in engagement with a gearwheel 9 rotatably mounted on the second intermediate shaft 14 . the gearwheel 17 of the inner shaft 5 meshes with a gearwheel 19 arranged rotatably on the first intermediate shaft 13 , while gearwheel 11 , which is seated on the inner shaft 5 , is in engagement with a gearwheel 10 rotatably mounted on the second intermediate shaft 14 . on the right - hand side in the drawing , the first intermediate shaft 13 is provided with an output gearwheel 26 mounted loosely thereon and , on the same side , the second intermediate shaft 14 has an output gearwheel 21 mounted loosely thereon . on the left - hand side , the first intermediate shaft 13 is fitted with a gearwheel 15 arranged for conjoint rotation thereon , which is in engagement , for reverse gear , with a gearwheel 12 seated rotatably on the second intermediate shaft 14 . the engagement of these two gearwheels 15 and 12 is indicated by a dashed line 33 . the output gearwheels 21 and 26 mounted on the right - hand side of the intermediate shafts 13 and 14 both mesh with the differential gearwheel 23 , via which the power flow is transmitted to the wheels of the vehicle . five coupling devices are provided to shift the transmission , namely one coupling device 27 between the output gearwheel 26 seated on the first intermediate shaft 13 and the gearwheel 24 likewise arranged thereon , and one coupling device 20 between the gearwheels 24 and 19 of the first intermediate shaft 13 . on the second intermediate shaft 14 there is a coupling device 22 between output gearwheel 21 and the adjacent gearwheel 9 , another coupling device 16 between the two gearwheels 9 and 10 , which are likewise arranged on the second intermediate shaft 14 , and a third coupling device 18 between gearwheel 10 and the gearwheel 12 seated at the left - hand end and provided for reverse gear . all five coupling devices are of double - acting design . in the case of the coupling devices 22 and 27 provided for output gearwheels 21 and 26 , for example , this has the effect that output gearwheels 21 and 26 can be connected to their intermediate shafts 13 and 14 , respectively , and that an additional winding path gear can be selected in the leftward - shifted position of coupling devices 22 and 27 , while , at the same time , output gearwheels 21 and 26 can rotate freely around their respective intermediate shafts 13 and 14 . by means of a transmission of this kind , having four gearwheel pairs and five coupling devices , it is possible to select eight forward gears , these being illustrated in the table shown in fig2 . here , k 1 and k 2 signify the clutches indicated by 2 and 3 in the drawing , wherein the number “ 1 ” denotes the clutch as closed and “ 0 ” denotes the clutch as open . is 1 and is 2 denote the intermediate shafts 13 and 14 shown in the drawing , and s 1 , s 2 , s 3 , s 5 and s 6 denote the five coupling devices 20 , 16 , 18 , 22 and 27 . the letter “ l ” used in the table stands for a displacement of the respective coupling device to the left , the letter “ r ” stands for a displacement to the right and “ 0 ” stands for the neutral position , in which the respective coupling device is set to an inactive state . this table in fig2 furthermore also shows the shift positions for the two reverse gears r 1 and r 2 . each of the following fig3 to 12 illustrates the power flows associated with the individual gears , wherein the respective power flow is indicated by thick solid lines , while the inactive transmission components are shown in thin lines . fig3 illustrates the power flow for the 1 st gear . here , the engine 4 drives the inner shaft 5 via friction clutch 2 . in this case , gearwheel 17 , which is seated in a fixed manner on the inner shaft 5 , meshes with gearwheel 19 , which is seated on the first intermediate shaft 13 and which is connected for conjoint rotation to the first intermediate shaft 13 by means of coupling device 20 . in the same way , gearwheel 24 , which is seated on the first intermediate shaft 13 , is connected for conjoint rotation to the first intermediate shaft 13 by means of coupling device 27 and meshes with gearwheel 8 , which is seated on the idly corotating outer shaft 6 . here , the gearwheel 7 of the outer shaft 6 meshes with gearwheel 9 , which is seated on the second intermediate shaft 14 and which is connected for conjoint rotation to the second intermediate shaft 14 by means of coupling device 16 . in this selected gear , coupling device 22 is shifted to the right and connects output gearwheel 21 for conjoint rotation to the second intermediate shaft 14 . since both output gearwheels 21 and 26 mesh with the differential gearwheel 23 , and output gearwheel 26 , which is seated on the first intermediate shaft 13 , freely corotates , the differential gearwheel 23 is driven via the output gearwheel 21 of the second intermediate shaft 14 and transmits the power flow to the wheels . the selection of this 1 st gear involves a winding path gear , during which the power flows from the inner shaft 5 , via the first intermediate shaft 13 and the second intermediate shaft 14 , and from there to the differential gearwheel 23 . fig4 illustrates the power flow which defines the 2 nd gear . this too is a winding path gear since the power flow is transmitted from the engine 4 to the outer shaft 6 via friction clutch 3 and , from there , initially from gearwheel 7 , via both gearwheels 9 and 10 , which are connected for conjoint rotation to the second intermediate shaft 14 by means of coupling devices 16 and 22 , to gearwheels 11 and 17 , which are seated on the idly corotating inner shaft 5 . from there , the power flows onward to the first intermediate shaft 13 , namely via the gearwheel 17 of the inner shaft 5 to gearwheel 19 , which meshes with the latter and which is connected for conjoint rotation to the first intermediate shaft 13 by means of coupling device 20 . in this design of the 2 nd gear , output gearwheel 26 is connected in a fixed manner to the first intermediate shaft 13 by means of coupling device 27 , allowing output gearwheel 26 to transmit the torque to the differential gearwheel 23 . fig5 to 8 illustrate the four basic gears , gears three to seven . in these illustrations , the power flows respectively from the engine 4 , via one of the two friction clutches 2 or 3 , to the inner shaft 5 or the outer shaft 6 and , from there , directly to the differential gearwheel 23 via one of the two intermediate shafts 13 or 14 . fig9 and 10 illustrate gears 7 and 8 , which , once again , are selected as winding path gears via both intermediate shafts 13 and 14 . fig1 and 12 illustrate the power flows for the two reverse gears , which , once again , are selected as winding path gears since the power flows pass via both intermediate shafts 13 and 14 . fig1 shows a second illustrative embodiment of the invention , in which the transmission has five wheel sets and six coupling devices . in this figure , the same reference numbers are used for identical components as in fig1 . n contrast to the illustrative embodiment shown in fig1 , an additional gearwheel 38 is arranged on the inner shaft 5 , being connected in a fixed manner to said shaft and being in engagement with a gearwheel 37 rotatably mounted on the first intermediate shaft 13 . a further coupling device 36 is arranged between gearwheel 37 , which is mounted on the first intermediate shaft 13 , and gearwheel 24 , which is arranged to the right thereof in the drawing , which coupling device is of double - acting design and selectively connects either gearwheel 24 or gearwheel 37 for conjoint rotation to the first intermediate shaft 13 . in the illustrative embodiment shown in fig1 , gearwheel pairs 1 , 3 and 4 extend along the first intermediate shaft 13 , and gearwheel pairs 5 and 2 extend along the second intermediate shaft 14 . by means of the transmission illustrated in fig1 , eleven forward gears and two reverse gears can be selected . fig1 shows the shift pattern for the transmission illustrated in fig1 . the two friction clutches k 1 and k 2 are once again shown on the left - hand side , bearing the reference numbers 2 and 3 , wherein the number “ 1 ” denotes the clutch as closed and “ 0 ” denotes the clutch as open . in the central area , the positions of the coupling devices ( cd ) are illustrated , wherein “ l ”= left - hand position , “ r ”= right - hand position and “ 0 ”= neutral position . forward gears 1 to 11 and the two reverse gears r 1 and r 2 are shown in the following right - hand column . the 1 st to 3 rd gears are winding path gears , in which there is an interruption in the tractive effort . the 4 th to 8 th gears are the five basic gears which can be selected without an interruption in the tractive effort by means of the available gearwheel pairs . the 9 th gear is once again a winding path gear but without an interruption in the tractive effort . the 10 th and 11 th gears are once again winding path gears but with an interruption in the tractive effort . the following fig1 to 27 illustrate the power flow for each individual gear in thick solid lines , while the inactive regions of the transmission are illustrated in thin lines . fig1 shows the selection of the 1 st gear , which is a winding path gear with an interruption in the tractive effort . in this 1 st gear , the power flows from the engine 4 , via friction clutch 3 , to the outer shaft 6 and , from there , via gearwheel 7 , which is seated in a fixed manner on the outer shaft , to gearwheel 9 , which is seated on the second intermediate shaft 14 and which is connected for conjoint rotation to the intermediate shaft 14 by means of coupling device 22 . via gearwheel 10 , which is likewise connected for conjoint rotation to the second intermediate shaft 14 by means of coupling device 16 , the power flows via gearwheel 11 to the idly corotating inner shaft 5 and , from there , passes via gearwheel 17 and via gearwheel 19 , which meshes with the latter , to the second intermediate shaft 14 , wherein gearwheel 19 is connected for conjoint rotation to the first intermediate shaft 13 by means of coupling device 20 . in this selection , output gearwheel 26 , which is seated on the first intermediate shaft 13 , is connected for conjoint rotation to the first intermediate shaft 13 by means of coupling device 27 , with the result that the power is transmitted from output gearwheel 26 to the differential gearwheel 23 , while output gearwheel 21 , which is seated on the second intermediate shaft 14 , is decoupled and idly corotates . fig1 and 17 illustrate the shifts for the 2 nd and 3 rd gears , wherein it is clear from the power flow that these are likewise winding path gears , especially since the power flows via both intermediate shafts 13 and 14 . fig1 to 22 illustrate the power flow for the 4 th to 8 th gears . these are the five basic gears , which are derived from the five gearwheel pairs . in each case , the power only ever flows via one of the two intermediate shafts 13 and 14 . fig2 to 25 illustrate the power flows in the 9 th to 11 th gears . these are once again winding path gears since the respective power flow is via both intermediate shafts 13 and 14 . fig2 and 27 illustrate the respective power flow for the two reverse gears , and these are likewise winding path gears since the respective power flow is once again via both intermediate shafts 13 and 14 . as is apparent from the two illustrative embodiments , relatively large numbers of gears are possible with relatively few wheel sets , wherein there are only relatively small jumps between the individual gears and the intervals can be set in an optimum manner . while exemplary embodiments are described above , it is not intended that these embodiments describe all possible forms of the invention . rather , the words used in the specification are words of description rather than limitation , and it is understood that various changes may be made without departing from the spirit and scope of the invention . additionally , the features of various implementing embodiments may be combined to form further embodiments of the invention .