Within our previous proposal "Possible non-symmorphic, magnetic Weyl Semimetal in CeSbTe" we investigated the antiferromagnetic structure of CeSbTe. This material has a very rich magnetic phase diagram, and only small fields are necessary to push the system to a ferromagnetic phase. It is also possible that only small fields are necessary to align the Ce spins in different spacial directions. This is of interest because it allows to tune the electronics structure. CeSbTe belongs to the class of topological semimetals that are recently intensely studied because they can host new types of quasiparticles that can only exist in solid compounds and are unknown in high energy physics. Due to the different magnetic phases accessible, CeSbTe is a nice template system to access several novel topological states. We therefore wish to fully understand its magnetic phase diagram.