"Source: Text/Group/GrpFPInt.text";
"Line: 2871";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFPInt.text, line: 2871
// Example: H79E37 ()
print "Example: H79E37";
ei := GetEchoInput();
SetEchoInput(true);
G<x, y> := FPGroup< x, y | x^3, y^8, (x,y^4), x^-1*y*x^-1*y^-1*x*y*x*y^-1,
  (x*y^-2)^2*(x^-1*y^-2)^2*(x*y^2)^2*(x^-1*y^2)^2, (x^-1*y^-2)^6*(x^-1*y^2)^6 >; 
time Q := SolubleQuotient(G); 
Order(Q); 
assert $1 eq 165888;
time Q := SolubleQuotient(G, {2, 3});
Order(G);
assert $1 eq 165888;
#ConjugacyClasses(Q);
SetEchoInput(ei);
