"Source: Text/Group/GrpPC.text";
"Line: 2512";
"Date: Thu Apr  1 11:57:57 2021";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Group/GrpPC.text, line: 2512
// Example: H69E15 ()
print "Example: H69E15";
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);
