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Electron paramagnetic resonance, magnetization, and dynamic magnetic susceptibility have been investigated in the new member of the semimagnetic semiconductors family, In 1−x Mn x Se layered crystal with composition x = 0.0125. The obtained results indicate that two subsystems of impurity manganese ions exist in the examined crystal: the first one inside the crystal layer and the second one in the interlayer space. It is found that at low temperatures, below 77 K, three-dimensional ferromagnetic order arises in the as-grown sample. In the annealed sample, two-dimensional ferromagnetism is observed in the interlayer space.