A group theoretical classification of p-wave pairing superconduction states is made for a system with cubic crystalline symmetry in the absence of the spin -orbit coupling. The 15 inert p-pairing states which make the Ginzburg-Landau free energy stationary are enumerated and characterized, indicating that the energy gap vanishes along lines on the Fermi surface in some of those states. This contrasted with the strong spin-orbit coupling case by others.