First of all construct G via free groups:

F:=FreeGroup("x","y");
AssignGeneratorVariables(F);
N:=NormalClosure(F,Subgroup(F,[x^27,y^343,x^y*x^(-10)]));
G:=FactorGroup(F,N);

Then compute the automorphism group:

AutomorphismGroup(G);

zuohui wu schrieb:
Dear forum :
     I am new to GAP .I need you help !
    Now I want to calculate the automorphism group ,but I do not know how to do 
it .
G=<x,y:x^27=1=y^243,x^y=x^10> Could you give me some examples? Best wishes!!

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