  Using a data sample of 980 ${\rm fb}^{-1}$ of $e^+e^-$ annihilation data
taken with the Belle detector operating at the KEKB asymmetric-energy $e^+e^-$
collider, we report the results of a study of the decays of the $\Omega_c^0$
charmed baryon into hadronic final states. We report the most precise
measurements to date of the relative branching fractions of the $\Omega_c^0$
into $\Omega^-\pi^+\pi^0$, $\Omega^-\pi^+\pi^-\pi^+$, $\Xi^-K^-\pi^+\pi^+$, and
$\Xi^0K^-\pi^+$, as well as the first measurements of the branching fractions
of the $\Omega_c^0$ into $\Xi^-\bar{K}^0\pi^+$, $\Xi^0\bar{K}^0$, and $\Lambda
\bar{K}^0\bar{K}^0$, all with respect to the $\Omega^-\pi^+$ decay. In
addition, we investigate the resonant substructure of these modes. Finally, we
present a limit on the branching fraction for the decay
$\Omega_c^0\to\Sigma^+K^-K^-\pi^+$.
