AutomorphismPermGroup( G )
This combines AutomorphismGroup(G) with the function
AutomorphismPair and returns
G.automorphismGroup.automorphismPair.perm. The name
PermAut(<G.name>) is given automatically.
gap> P := AutomorphismPermGroup( a4 );
PermAut(a4)
gap> P.generators;
[ (1,8,4)(2,6,7), (3,6,7)(4,5,8), (1,2)(3,8)(4,7)(5,6) ]
GAP 3.4.4