Comparison between the properties of the Tinker et al. (2011) group catalog and the R11 catalog. Upper panel: Comparison between the halo mass proxy used in the work and based on the total optical luminosity based on the R11 group membership and the halo mass proxy of Tinker et al. (2021). The blue solid line shows the 1:1 relation. Bottom panel: distribution of the M₂₀₀ halo mass proxy used in this paper (blue histogram) for groups selected according to the halo mass proxy of Tinker et al. (2021) at 13.5 < log(M_halo/M_⊙) < 14 (magenta histogram).