We report interferometric imaging of a young stellar group L1641N (IRAS 05338-0624) in the CS J=3-2 line and the 2-mm continuum. Seven line emission peaks are identified within 0.1 pc of the IRAS position. The physical properties of these peaks (central velocity, linewidth, mass, and density) have been used to infer their nature. We conclude that three of these peaks (1-3) are likely to be real molecular gas condensations. These three cores are closely associated with the stellar group in which young stars have been continuously forming over the last few Myr. They are also more massive than the gas clumps detected interferometerically toward the well-known star forming cores in Taurus, and are thus capable of forming young stellar objects. The different core characteristics (mass, density, and the association with young stellar objects) suggest that these cores are at difference stages of dense core evolution with cores ranging from quiescent preprotostellar to turbulent starless, and to actively star forming.