On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2

Recently, several works by a number of authors have provided characterizations integral undirected Cayley graphs over generalized dihedral groups and dicyclic groups. We generalize unify these results in two different ways. Firstly, we work arbitrary non-abelian finite admitting an abelian subgroup index 2. Secondly, our main result actually characterizes mixed such groups, the spirit very recent Kadyan–Bhattarcharjya case.