  The Hund's-rule-exchange induced and coexisting spin-triplet paired and
magnetic states are considered within the doubly degenerate Hubbard model with
interband hybridization. The Hartree-Fock approximation combined with the
Bardeen-Cooper-Schrieffer (BCS) approach is analyzed for the case of square
lattice. The calculated phase diagram contains regions of stability of the
spin-triplet superconducting phase coexisting with either ferromagnetism or
antiferromagnetism, as well as a pure superconducting phase. The influence of
the inter-site hybridization on the stability of the considered phases, as well
as the temperature dependence of both the magnetic moment and the
superconducting gaps, are also discussed. Our approach supplements the well
known phase diagrams containing only magnetic phases with the paired triplet
states treated on the same footing. We also discuss briefly how to include the
spin fluctuations within this model with real space pairing.
