[GAP Forum] Program for graph

[asma hamze]

Dear forum,
Can someone help with the construction a graph with program in GAP?A graph fora 
group G, where its vertices set is G and two element x,y of G are connectedif 
o(x)|o(y) or o(y)|o(x). Also, what is the automorphism group of this graph? 
With best regards.
Asma.
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