In this work, we, for the first time, present the experimental study of complex plasmas in glow discharge in the narrow region of the current channel under magnetic fields up to 10 ⁴ G. We obtain the conditions for the existence and stability of structures under the whole range of the magnetic field. We could detect a record-breaking rotation velocity of the dusty structure, reaching 15 rad/s. Measurements of the angular velocity behaviour under varied magnetic fields were performed. In order to characterize the geometry of the dusty structure as a function of the magnetic induction, the size and shape of the sections normal to the discharge axis were measured. The inter-particle distance as another informative characteristic was fixed for structures under a whole range of the applied magnetic field. Based on the results of the mentioned observations, we propose a qualitative interpretation of the rotation variation with the magnetic field. This interpretation includes the model of mechanisms driving the rotation of the dusty structure.