Stacked cumulative matter profiles of subhaloes in the outskirts of galaxy clusters (outside r > 0.5 R_vir), for DMO (left panel) and FP (right panel) simulations for collisionless (dotted blue lines), rSIDM (dashed green line), and fSIDM (dotted orange line) models. The solid lines show the profile fitted in the internal region (r < 20 ckpc). The labels also report the value of the fit of the NFW external logslope parameter γ. The vertical dashed lines correspond to the mean half-mass radius.