  The mass spectrum of the L=1 orbitally excited heavy baryons with light
quarks in the spin-flavor symmetric representation is studied by the $1/N_c$
expansion method in the framework of the heavy quark effective theory. The
mixing effect from the baryons in the mixed representation is considered. The
general pattern of the spectrum is predicted which will be verified by the
experiments in the near future. The $1/m_Q$ and SU(3) corrections are also
considered. Mass relations for the baryons $\Lambda_{c1}^{(*)}$,
$\Sigma_{c1}^{(*)}$, $\Xi_{c1}^{(')(*)}$, and $\Omega_{c1}^{(*)}$ are derived.
