We have performed magnetization, specific heat, and muon spin relaxation (SR) measurements on single crystals of the noncentrosymmetric superconductor IrGa. The isothermal magnetization measurements show that there is a crossover from Type-I to Type-II superconductivity with decreasing temperature. Potential multi-band superconductivity of IrGa~is observed in the specific heat data. SR~measurement is performed to map the phase diagram of IrGa, and both Type-I and Type-II superconductivity characteristics are obtained. Most importantly, a more unique region with the coexistence of Type-I and Type-II SR signals is observed. In addition, time reversal symmetry is found to be preserved in IrGa by zero field SR measurement.

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