Relationship between the cluster match fraction and radio luminosity for radio galaxies and quasars within 2 Mpc. Panel a depicts the match fraction for all radio galaxies and quasars, with the orange dashed line representing the cluster match fraction for unclassified radio galaxies. Panel b shows the match fraction for LERGs and quasars and (c) is for HERGs and quasars. The blue lines in each panel represent the same quasar cluster match fraction but appear different due to the varying comparison groups. All error bars are calculated based on Poissonian distribution.