The magnetic barrier is the region with enhanced magnetic field magnitude and depleted plasma. It is formed in the inner magnetosheath layer adjacent to the low-latitude dayside magnetopause. There is a general point of view now that a magnetic barrier can persist only for the northward direction of interplanetary magnetic field (IMF) while it is absent for the southward direction. We make a study to check appearance of magnetic barrier for different directions of IMF. To this end a data base consisting 63 events of low-latitude dayside magnetopause crossings by the THEMIS satellites was created and analyzed. In order to study the variations of key plasma parameters and the magnetic field near the magnetopause in a systematic way we used a superposed epoch analysis. It turns out that the magnetic barrier is the most pronounced for the northward IMF. For the southward IMF we still were able to find events with signatures of magnetic barrier. According to the theory magnetic barrier builds up more slowly than i