We consider the effect of isotropic impurity scattering on the exotic super
conducting states that arise from the usual BCS mechanism in substances of
cubic and hexagonal symmetry where the Fermi surface contains inequivalent
but degenerate pockets (e.g. around several points of high symmetry). As ex
amples we look at CeCo2, CeRu2, and LaB6; all of which have such Fermi surf
ace topologies and the former exhibits unconventional superconducting behav
ior. We find that while these non s-wave states are suppressed by non-magne
tic impurities, the suppression is much weaker than would be expected for u
nconventional superconductors with isotropic non-magnetic impurity scatteri
ng.