"Source: Text/Group/GrpFPInt.text";
"Line: 1723";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpFPInt.text, line: 1723
// Example: H79E20 ()
print "Example: H79E20";
ei := GetEchoInput();
SetEchoInput(true);
G<x, y> := FPGroup< x, y | x^2, y^3, (x*y)^12, (x*y)^6*(x*y^-1)^6 >;
G;
H := sub< G | x, y*x*y^-1, y*x*y^-1*x*y^-1*x*y >;
H;
Index(G, H);
assert $1 eq 3;
K := Rewrite(G, H);
K;
AbelianQuotientInvariants(K);
Q2 := pQuotient(K, 2, 30);
FactoredOrder(Q2);
SetEchoInput(ei);
