  We present numerical results for the Rosenzweig Porter model for all symmetry
classes of the Dyson threefold way. We analyzed the fluctuation properties in
the eigenvalue spectra, and compared them with existing and new analytical
results. Based on these results we propose characteristics of the spectral
properties as measures to explore the transition from Poisson to Wigner Dyson
WD statistics. Furthermore, we performed thorough studies of the properties of
the eigenvectors in terms of the fractal dimensions, the Kullback Leibler KL
divergences and the fidelity susceptibility. The ergodic and Anderson
transitions take place at the same parameter values and a finite size scaling
analysis of the KL divergences at the transitions yields the same critical
exponents for all three WD classes, thus indicating superuniversality of these
transitions.
