  We analyze the magnetically ordered phases in the Kondo lattice model on a
square lattice around quarter filling using the dynamical mean field theory. We
find that close to quarter filling besides the paramagnetic phase, at least
three magnetic phases compete. These phases are a ferromagnetic state, a
partial Kondo screened state, which is a combination of charge order and
magnetic order, and a striped magnetic phase, which is ferromagnetically
ordered in one direction and antiferromagnetically in the other direction. We
analyze the spectral properties of these states and show that the PKS state is
insulating with a flat band above the Fermi energy, while the other states are
metallic. Furthermore, we demonstrate that the energy gain by the Kondo effect
is larger in the PKS state, while the striped magnetic state can gain more
energy from the RKKY interaction. Thus, while the striped magnetic state is
stable at weak coupling, the PKS state becomes stable at intermediate coupling.
