We present an X-ray study of the galaxy group RGH 80, observed by XMM-Newton. The X-ray emission of the gas is detected out to ~ 462h^{-1}_{50} kpc, corresponding to ~ 0.45 r_{200}. The group is relatively gas rich and luminous with respect to its temperature of 1.01 +/- 0.01 keV. Using the deprojected spectral analysis, we find that the temperature peaks at ~ 1.3 keV around 0.11r_{200}, and then decreases inwards to 0.83 keV at the center and outwards to ~ 70% of the peak value at large radii. Within the central ~ 60 kpc of the group where the gas cooling time is less than the Hubble time, two-temperature model with temperatures of 0.82 and 1.51 keV and the Galactic absorption gives the best fit of the spectra, with ~ 20% volume occupied by the cool component. We also derive the gas entropy distribution, which is consistent with the prediction of cooling and/or internal heating models. Furthermore, the abundances of O, Mg, Si, S, and Fe decrease monotonically with radius. With the observed abundance ratio pattern, we estimate that ~ 85% or ~ 72% of the iron mass is contributed by SN Ia, depending on the adopted SN II models.