We report the results of a high-resolution powder neutron diffraction study of multiferroic BiFe0.7Mn0.3O3. We have confirmed the previous assignment of the α-phase and β-phase as having R3c and P bnm symmetry, respectively. The γ-phase, however, has been shown unequivocally not to be cubic, as previously reported, but rather to retain octahedral tilting distortions leading to a lower symmetry, most likely rhombohedral with space group R3c. The γ-phase of BiFe0.7Mn0.3O3 is therefore different to that of the parent BiFeO3 which retains an orthorhombic structure up to its decomposition temperature. The lattice parameters of the γ-phase of BiFe0.7Mn0.3O3 are pseudocubic throughout its entire stability range despite the fact that there are still significant distortions from the cubic aristotype structure even at the onset of decomposition.