"Source: Text/Group/GrpPC.text";
"Line: 1584";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpPC.text, line: 1584
// Example: H70E9 ()
print "Example: H70E9";
ei := GetEchoInput();
SetEchoInput(true);
G<a,b,c> := PolycyclicGroup<a,b,c|a^3,b^2,c^2,b^a=c,c^a=b*c>;
b^a eq b;
assert not $1;
IsIdentity((b,a));
assert not $1;
r := IsConjugate(G, c, b);
r;
assert $1;
IsConjugate(G, c, b);
r, x := IsConjugate(G, c, b);
x, r;
c^x;
SetEchoInput(ei);
