Global properties of the 346 clusters and groups in the eFEDS point source catalog provided by MCMF. top panel: redshift distribution of the 346 clusters and groups in the eFEDS point source catalog provided by MCMF (blue). the median redshift of this sample is 0.40, i.e., slightly higher than the redshift distribution of the extent-selected clusters in Liu et al. (2022a) shown as gray bars). The redshift distribution of the extent-selected sample and clusters in the point source catalog is skewed toward the low redshifts, as expected. Middle panel: richness distribution of the clusters in the extent-selected sample (blue) with the clusters found in the eFEDS point source catalog (orange). Optical cleaning filtering of f_cont < 0.2, recommended by Klein et al. (2021), was applied to both samples. Bottom panel: distribution of the soft-band (0.5–2 keV) luminosity as a function of redshift for the point source sample in orange, compared with the extent-selected sample in blue. The detections with <2σ are shown as upper limits. the dashed red line marks the flux limit 1.5 × 10⁻¹⁴ ergs s⁻¹ cm⁻¹ of the extended source sample reported in Liu et al. (2022a).