"Source: Text/Group/GrpPerm.text";
"Line: 5646";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpPerm.text, line: 5646
// Example: H65E30 ()
print "Example: H65E30";
ei := GetEchoInput();
SetEchoInput(true);
G := WreathProduct(Sym(4), DihedralGroup(4));
G;
[ FactoredOrder(H) : H in DerivedSeries(G) ];
DerivedLength(G);
assert $1 eq 5;
[ FactoredOrder(H) : H in LowerCentralSeries(G) ];
NilpotencyClass(G);
assert $1 eq -1;
Centre(G);
pCentralSeries(G, 2);
[ FactoredOrder(H) : H in pCentralSeries(G, 3) ];
SetEchoInput(ei);
