We determined the magnetic symmetry groups (Shubnikov groups) of the wurtzite-type crystals doped with magnetic atoms periodically distributed at cation sites. The magnetic groups of doped crystals with ferro- or antiferromagnetic properties arise from the P6 _3mc (C _(6v) ~4), P3m1 (C _(3v) ~1), C _s ~3 (Cm) or C _1 ~1 (P1) ordinary space groups. Those arising from the P6 _3mc or P3m1 group can present macroscopic ferromagnetic polarization only along the wurtzite symmetry axis whereas those arising from the C _s ~3 (Cm) group can present ferromagnetic polarization only in the symmetry plane and those arising from the C _1 ~1 (P1) group can present polarization along any direction. Actual structures do not keep in general long-range order for magnetic atom distribution but the samples with macroscopic polarization should present local symmetries close to those listed above. Therefore, orientation of easy magnetization can provide information about the most frequent local symmetry.
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