Automorphisms of non-abelian metabelian groups of order upto 24

Abstract

In this paper, be the non-abelian metabelian group and denotes the automorphism group of group . A group is metabelian group if its commutator group is abelian or if it has an abelian normal subgroupin which the factor group is also abelian. There are 35 non-Abelian metabelian groups of order less than or equal to 24. In this study, we investigate the automorphism groups of all non-abelian metabelian groups of order less than or equal to 24 and the verification has been made through GAP (Groups Algorithm Programming) software.