"Source: Text/Group/GrpPC.text";
"Line: 2512";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpPC.text, line: 2512
// Example: H70E15 ()
print "Example: H70E15";
ei := GetEchoInput();
SetEchoInput(true);
G := DirectProduct(CyclicGroup(GrpPC,6), DihedralGroup(GrpPC,5));
x := G.3;
C := Centralizer(G,x);
C;
H := sub<G|G.2,G.4>;
Order(H);
assert $1 eq 15;
K := H meet C;
K;
J := sub<G|H, C>;
J eq G;
assert $1;
SetEchoInput(ei);
