While In3Rh has been predicted to be a three-dimensional Dirac semimetal, experimental studies of its physical properties are lacking. Here, we report the angular-dependent magnetoresistance (MR) measurements of In3Rh single crystals under high magnetic fields up to 32 T. The crystals show large, non-saturating linear MR, and remarkable quantum oscillations with multi-frequencies. Analysis of the quantum oscillations reveals that there are three bands hosting a nontrivial Berry phase, which is corroborated by first-principles calculations. Our work may provide a platform for exploring topological materials in indium-rich transition metal compounds.