  We theoretically study the carrier doping effect for magnetism in a
stacked-kagome system $\rm{{Co}_3{Sn}_2{S}_2}$ based on an effective model and
the Hartree-Fock method. We show the electron filling and temperature
dependences of the magnetic order parameter. The perpendicular ferromagnetic
ordering is suppressed by hole doping, wheres undoped $\rm{{Co}_3{Sn}_2{S}_2}$
shows magnetic Weyl semimetal state. Additionally, in the electron-doped
regime, we find a non-collinear antiferromagnetic ordering. Especially, in the
non-collinear antiferromagnetic state, by considering a certain spin-orbit
coupling, the finite orbital magnetization and the anomalous Hall conductivity
are obtained.
