characterization of alt(5) × zp, where p ∈ {17, 23}, by their product element orders

We denote the integer π g∈g o(g) by ψ ′ (g) where o(g) denotes the order of g ∈ g and g is a finite group. in [14], it was proved that some finite simple group can be uniquely determined by its product of element orders. in this paper, we characterize alt(5)×zp, where p ∈ {17, 23}, by their product of element orders.