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This paper reports a systematic search of X-ray cavities, density jumps andshocks in the inter-galactic environment of the galaxy group IC~1262 using {\itChandra}, GMRT and VLA archival observations. The X-ray imaging analysisreveals a pair of X-ray cavities on the north and south of the X-ray peak, atprojected distances of 6.48\,kpc and 6.30\,kpc respectively. Total mechanicalpower contained in both these cavities is found to be $\sim$12.37$\times10^{42}$ erg~s$^{-1}$, and compares well with the X-ray luminosity, within thecooling radius, measured to be $\sim 3.29 \times 10^{42}$ erg~s$^{-1}$,suggesting that the mechanical power injected by the central AGN efficientlybalances the radiative loss. We detect a previously unknown X-ray cavity at theposition of southern radio lobe in the intra-group medium and find a loop ofexcess X-ray emission extending $\sim$100 kpc southwest from the centralgalaxy. The X-ray cavity at the position of southern radio lobe probablyrepresents a first generation X-ray cavity. Two surface brightness edges areevident to the west and east$-$north of the center of this group. The radiogalaxy at the core of the IC~1262 group is a rare low-redshift ultra-steepradio galaxy, its spectral index being $\alpha\! \sim\! -1.73$ (including thecentral AGN) and $\alpha\! \sim\! -2.08$ (excluding the central AGN). We detecta radio phoenix embedded within the southern radio lobe, for the first time ina poor group, with a spectral index ($\alpha \!\leq\! -1.92$). The spectralindex distribution across the phoenix steepens with increasing distance fromits intensity peak.

AGN Feedback in galaxy groups: a detailed study of X-ray features and diffuse radio emission in IC1262