Satellite HOD and stellar-mass relation. Top panel: The solid lines show the satellite HOD for galaxies in the MTNG simulation selected by peak subhalo mass, i.e. the maximum subhalo mass reached by each galaxy during its evolutionary history, while the dashed black line shows all subhaloes with peak subhalo mass above 10¹¹ h⁻¹ M_⊙. The vertical coloured bands correspond to the halo-mass selection used throughout this work. Bottom panel: The solid line shows the median stellar mass of satellite galaxies as a function of peak subhalo mass, while the shaded regions represent the 16th and 84th percentiles. The vertical coloured bands correspond to the peak-subhalo-mass selection used throughout this work.