Total radio luminosity functions of galaxies in groups. Black points indicate the RLFs for galaxy groups GGs derived using the V_max method (see Sect. 3.1). Red squares and yellow stars mark the brightest group galaxies and satellites, respectively. The blue and red shaded areas show the ±3σ ranges of the best-fit evolution for the individual SFG and AGN populations, respectively (outlined in Section 3.2). The black dashed line is the fit to the total RLF at 3 GHz VLA-COSMOS (Novak et al. 2017; Smolčić et al. 2017c). For the z < 1 sub-samples (z < 0.4), the halos are split into massive (M_200c > 10^13.5 M_⊙) and low-mass halos (M_200c ≈ 10^13.3 M_⊙); the latter are shown for completion but not used in the analysis. For the rest of the redshift bins, all samples have M_200c > 10^13.5 M_⊙. A halo mass cut, M_200c > 10^13.5 M_⊙, was applied to the GGs, BGGs, and SGs. The solid black line is the scaled fit to the group galaxies’ RLFs, and the red solid line is the scaled fit for BGGs, as explained in Section 3.3.1. The scaled fit can be found in Fig. 2, and we do not show it here for SGs for clarity. The black line for the scaled fit for GGs in the last redshift bin is hidden by the red line for BGGs, because there are no SGs in that bin.