Central Extension Of Degree 3 Of 3-groups Of Maximal Class Without Abelian Maximal Subgroups

Let N and H be arbitary groups. If there exists a group G which has a normal subgroup ???? Z?G? such that ???? N and G/???? H, then G is called a central extension of N by H. In this paper, we classify finite p-groups which are central extensions of N by H, where H belongs to 3-groups of maximal class without abelian maximal subgroups and N? C₃.