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 $Xi^-bar{K}^0pi^+$, $Xi^0bar{K}^0$, and $Lambda bar{K}^0bar{K}^0$, 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 $Omega_c^0toSigma^+K^-K^-pi^+$.
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