Automorphism groups of 2-groups of coclass at most 3 (Q1988549)

The coclass of a group of order \(p^n \) (\(p\) prime) and nilpotency class \(c\) is defined to be \(n-c\). To classify the \(p\)-groups by coclasses was suggested by [\textit{C. R. Leedham-Green} and \textit{M. F. Newman}, Arch. Math. 35, 193--202 (1980; Zbl 0437.20016)] and followed by many people. In this paper, the authors try to determine all 2-groups of coclass at most 3 whose automorphism groups are 2-groups. GAP software is applied in the proof.