Three kinds of classical spin configurations relevant to the frustrated Heisenberg model for CaV4O9 are obtained, These configurations are characterized by the wave vectors (0;0), (pi, 0) and (pi, pi): respectively, Especially, the configuration with (pi; 0), which is stabilized when next nearest neighbor couplings are strong enough, is not the four-sublattice Neel structure. Spin-wave calculations around these configurations are carried out to estimate the magnitude of quantum fluctuations in the case of S = 1/2 and ground state phase diagrams are presented.