In this work, dipolar Bose-Einstein condensates in multiwell potentialsplaced to form dierent geometrical structures are studied theoretically inorder to determine how the ground state population of the particles in thepotential wells changes depending on the relative strength of the particlesdipole moment. In the analytical limit (neglecting intersite tunneling), asymmetry-breaking change in the number of wells that are populated byparticles is observed for all studied systems for a certain value of the rela-tive strength of the particles dipole moment. The numerical calculationsfor nonzero intersite tunneling show a non-degenerate bifurcation whichis not seen in the analytical limit.