[GAP Forum] Exponent of Automorphism groups of small groups

[yassine Guerboussa]

Dear Forum,
I'm trying to compute the exponent of the automorphism groups of some small groups.For instance consider:
G :=SmallGroup(5^6,11);SetInfoLevel(InfoAutGrp, 3);A := AutomorphismGroup(G); (the calculation is done without a problem)
The command "Exponent(G);" gives the exponent of G without a problem, However  ("Exponent(A)") does not work (Perhaps because A is very large).
Is there a way to compute the exponent of A, and (directly) the exponent of a p-Sylow in A?
Thanks in advance.
Yassine Guerboussa