************************************************************************* 61177 We propose an ASCA observation of the cluster of galaxies SC 2357-610 which is accompanied by the radio galaxy PKS 2356-611. Aiming to measure thermal and non-thermal pressures in the edge of the cluster of galaxies, we propose to observe the distribution of the intra-cluster medium with the inverse- Compton X-rays expected from the radio lobes of PKS 2356-611. *************************************************************************