"Source: Text/Group/GrpPerm.text";
"Line: 5638";
"Date: Wed Mar 24 09:34:33 2021";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Group/GrpPerm.text, line: 5638
// Example: H64E30 ()
print "Example: H64E30";
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);
