  In the last decades several correlations between the mass of the central
supermassive black hole (BH) and properties of the host galaxy - such as bulge
luminosity and mass, central stellar velocity dispersion, S\'ersic index,
spiral pitch angle etc. - have been found and point at a coevolution scenario
of BH and host galaxy. In this article, I review some of these relations for
inactive galaxies and discuss the findings for galaxies that host an active
galactic nucleus/quasar. I present the results of our group that finds that
active galaxies at $z\lesssim 0.1$ do not follow the BH mass - bulge luminosity
relation. Furthermore, I show near-infrared integral-field spectroscopic data
that suggest that young stellar populations cause the bulge overluminosity and
indicate that the host galaxy growth started first. Finally, I discuss
implications for the BH-host coevolution.
