The adulterer loses her child's nasab
From Abu Hurairah radiyallaahu 'anhu said the Prophet sallallaahu' alaihi wasallam said, "The child belongs to the bed (husband) and the adulterer gets the stone." (Narrated by al-Bukhari and Muslim).
5- The testimony and history of adulterers are rejected
That's because the concerned is not a just Muslim whereas Allah Subhanahu waTa'ala has put the terms is for the witnesses in some verses