Given a finite non-cyclic group G, call σ(G) the least number of
proper subgroups of G needed to cover G. In this paper we give lower and
upper bounds for σ(G) for G a group with a unique minimal normal
subgroup N isomorphic to Anm​ where n≥5 and G/N is cyclic. We
also show that σ(A5​≀C2​)=57.Comment: Communications in Algebra (2012