Radial flux profiles of the stacked CG galaxies for the three background-subtraction models tested in this work. The left panel shows profiles of the brightest magnitude bin (mean M_r ≈ −23.4 mag) and the right panel shows the faintest magnitude bin we considered at 0.09 ≤ z ≤ 0.15. From the central region out to 100 kpc (not shown here), their light retention is similar. For the brightest CG bin (left panel), beyond 150 kpc (vertical dotted line), the 0^th order background-subtracted images (p₀) have better retention of light compared to the other two. However, considering the flattening of the profiles in the far outskirts (beyond 500 kpc) as the true sky background, the extended CG profiles between 150 and 500 kpc are over-subtracted for all three background-subtraction models. For the faintest CG bin (right panel), the p₀ case shows a much better light retention compared to the brightest bin, out to 380 kpc (vertical dotted line). The p₁ and p₂ cases, however, show a similar level of over-subtraction compared to the brightest bin. Both of these panels demonstrate that the p₀ background subtraction method has the best performance for retaining the extended faint light around the group CGs.