Ah I see. Your group B is made using PcGroupAutPcGroup. This essentially 
forgets that the group is an automorphism group and simply computes an 
isomorphic PC Group ( at least for the soluble part). If you want to work with 
the automorphisms as such, you either need to work directly in the 
AutomorphismGroup, or keep track of the explicit isomorphism between that group 
and a PC group.

     Steve



From: Siddhartha Sarkar <siddharth...@gmail.com>
Date: Sunday, 23 February 2020 at 11:39
To: Stephen Linton <s...@st-andrews.ac.uk>
Cc: GAP Forum <forum@gap-system.org>
Subject: Re: Testing action of automorphisms on groups

Dear Stephen,

Thanks. It still shows an error.

Siddhartha




gap> p:=Image(a1,x1);

Error, usage: Image(<map>), Image(<map>,<elm>), Image(<map>,<coll>) at 
/Users/sidhu/Desktop/GAP/gap-4.10.2/lib/mapping.gi:198<http://mapping.gi:198> 
called from

<function "Image">( <arguments> )

 called from read-eval loop at *stdin*:19

you can 'quit;' to quit to outer loop, or

you can 'return;' to continue

brk> return;

Error, Function call: <func> must return a value

not in any function at *stdin*:19
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