  In this paper, we check the universality of the entropy product for some
black hole and black ring solutions. Applying the asymptotic symmetry group
(ASG) analysis, we also find the central charges of the dual CFTs for these
solutions. It has been observed \cite{Chen:2013rb} that if the entropy product
for a solution is universal, it is possible to read the central charges of the
dual CFTs from the entropy product as $c_i \sim \frac{\partial}{\partial
N_i}(S_+S_-)$, where $N_i$ is a conserved charge of the solution like angular
momentum or electric charge. In this work, we consider some other families of
solutions and we check that the same behavior is valid for them. Moreover, in
the case of solutions containing the conical singularity, we find the central
charges using the ASG analysis. We show that the central charges receive a
contribution from the conical characteristic $\kappa$ of the solution, however
it is still possible to read the central charges from the entropy product.
