Mean X-ray surface brightness profiles of central galaxies selected from SDSS in different M_* bins, after masking X-ray sources and correction of misclassified centrals (green points, S_X, stack), the total X-ray surface brightness of unresolved AGN and XRB in the stacked galaxies and satellites (orange band), and the X-ray surface brightness of the CGM (purple band, S_X, CGM) modeled by subtracting the unresolved AGN and XRB from the S_X, stack (See Sect. 4.4 for details). The red dashed line is the best-fit of the CGM profile with a β model. The vertical dash-dotted line is the virial radius, R_vir. The top two panels are for MW-mass and M31-mass galaxies, and the bottom panel is for 2M31-mass galaxies. In the bottom panel, we further denote the X-ray surface brightness profiles of modeled unresolved AGN and XRB in the central galaxies (orange cross), XRB in the satellite galaxies (gray cross), and X-ray surface brightness profile of misclassified satellite (gray band).