Abstract: An improved transaxle having space along an input shaft so that transmission fluid can flow along such input shaft. The input shaft is splined to a forward drum. In order for transmission fluid to be able to pass the splines of the input shaft and the mating splines of the forward drum, either one or more splines or one or more mating splines are removed. Some of each may also be eliminated. The structural integrity of the input shaft is maintained by having the splines radiate from the surface of the input shaft. Optionally, a bushing and tubes facilitate the movement of transmission fluid from the surface of the input shaft, to a cooler, and back to the surface of the input shaft. Furthermore, a variety of construction techniques are employed for, inter alia, further strengthening the improved transaxle.