A track for traction of a vehicle, such as an all-terrain vehicle (ATV), a snowmobile, an agricultural vehicle, etc. The track may have rigidity (i.e., stiffness) characteristics to enhance its traction, floatation, and/or other aspects of its performance. For example, in some embodiments, a lateral bending stiffness of a carcass of the track may be symmetric while a longitudinal bending stiffness of the carcass of the track may be asymmetric.