  We examine the possible existence of Dirac semimetal with magnetic order in a
two-dimensional system with a nonsymmorphic symmetry by using the Hartree-Fock
mean-field theory within the Hubbard model. We locate the region in the
second-neighbor spin-orbit coupling vs Hubbard interaction phase diagram, where
such a state is stabilized. The edge states for the ribbons along two
orthogonal directions concerning the orientation of in-plane magnetic moments
are obtained. Finally, the effect of the in-plane magnetic field, which results
in the stabilization of the Weyl semimetallic state, and the nature of the edge
states corresponding to the Weyl semimetallic state for ribbon geometries are
also explored.
