[GAP Forum] A Problem

[Surendra Mishra]

Dear all,

Let G be a non-abelian group of order p^3 and H be a non-normal subgroup of
G of order p. Let f be an automorphism of G such that f(H) = H. Let X={ f |
f(H) =H}. Then X is a subgroup of Aut(G).

Let me know what type of automorphism will be in X and what is
the order of X.

With best Regards
Surendra Mishra
Research Scholar
Department of Mathematics
University of Allahabad,
Prayagraj, India