Who is entitled to diyya in case of parents killing their child?

As far as I'm aware, at least some schools of law (in particular, the Shafiis) say that qisas does not apply in the case of a parent killing his/her child, and only diyya applies. I can't seem to find any sources outlining who is entitled to receive diyya in this case? I don't know how to determine the recipient of diyya/the people having the right to waive qisas in murder cases in general, but this particular constellation is probably different from other constellations.