Here we analyze radio , optical , and X-ray data for a peculiar cluster Abell 578 .
This cluster is not fully relaxed and consists of two merging sub-systems .
The brightest cluster galaxy , CGPG 0719.8+6704 , is a pair of interacting ellipticals with projected separation \sim 10 kpc , the brighter of which hosts the radio source 4C +67.13 .
The Fanaroff-Riley type-II radio morphology of 4C +67.13 is unusual for central radio galaxies in local Abell clusters .
Our new optical spectroscopy revealed that both nuclei of the CGPG 0719.8+6704 pair are active , albeit at low accretion rates corresponding to the Eddington ratio \sim 10 ^ { -4 } ( for the estimated black hole masses of \sim 3 \times 10 ^ { 8 } M _ { \odot } and \sim 10 ^ { 9 } M _ { \odot } ) .
The gathered X-ray ( Chandra ) data allowed us to confirm and to quantify robustly the previously noted elongation of the gaseous atmosphere in the dominant sub-cluster , as well as a large spatial offset ( \sim 60 kpc projected ) between the position of the brightest cluster galaxy and the cluster center inferred from the modeling of the X-ray surface brightness distribution .
Detailed analysis of the brightness profiles and temperature revealed also that the cluster gas in the vicinity of 4C +67.13 is compressed ( by a factor of about \sim 1.4 ) and heated ( from \simeq 2.0 keV up to 2.7 keV ) , consistent with the presence of a weak shock ( Mach number \sim 1.3 ) driven by the expanding jet cocoon .
This would then require the jet kinetic power of the order of \sim 10 ^ { 45 } erg s ^ { -1 } , implying either a very high efficiency of the jet production for the current accretion rate , or a highly modulated jet/accretion activity in the system .