  We show that media with inhomogeneous defocusing cubic nonlinearity growing
toward the periphery can support a variety of stable vortex clusters nested in
a common localized envelope. Nonrotating symmetric clusters are built of an
even number of vortices with opposite topological charges, located at equal
distances from the origin. Rotation makes the clusters strongly asymmetric, as
the centrifugal force shifts some vortices to the periphery, while others
approach the origin, depending on the topological charge. We obtain such
asymmetric clusters as stationary states in the rotating coordinate frame,
identify their existence domains, and show that the rotation may stabilize some
of them.
