In the series of CeRh(1-x)IrxIn5 at zero magnetic field, the antiferromagnetic order is suppressed at the Quantum Critical Point corresponding to x c = 0.6, while superconductivity emerges above x ~ 0.3. The objective is to investigate the interplay of different types of magnetic orders and superconductivity under ma gnetic field by means of specific heat measurements down to the lowest temperature (~300 mK) for various values of x.