The octupole-octupole interaction has been added to the old pairing-plus-quadrupole model. Symmetries of the HF mean field are discussed. It is shown that under the assumption of the S-symmetry of the HF mean field, only two quadrupole and two octupole parameters have non-zero expectation values in HFB ground state. A detailed analysis of two possible approaches to the HFB treatment of the model Hamiltonian is presented.