Let G be a group with the order of Aut(G) very big.

Example:
gap>G:=SmallGroup(256,56092);;
gap> AutomorphismGroup(G);
<group of size 5348063769211699200 with 2 generators>

We suppose that s,t: G->G are group homomorphisms.
In GAP, Could you tell me a way to know whether there exists a group
isomorphism f:G->G such that fs=tf?

Thank you very much,

Bests,

Luyen
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