We study a simple class of orbifolds of the = 6 Chern-Simons Matter theory proposed by Aharony, Bergman, Jafferis and Maldacena. They are considered as world volume theories of membranes probing 4/(k × n) and include new membrane theories with = 4 supersymmetries. We find that the moduli spaces of them are consistent with the fact that they probe 4/(k × n). © 2008 SISSA.