"Source: Text/Group/GrpMatFF.text";
"Line: 2537";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpMatFF.text, line: 2537
// Example: H67E16 ()
print "Example: H67E16";
ei := GetEchoInput();
SetEchoInput(true);
SetSeed(1);
// no-XXX-test [failing for now; Nov 20]
G := MatrixGroup(AtlasGroup("J4"));
G:Minimal;
CT := CompositionTree(G);
CompositionTreeOrder(G);
found := false;
for i := 1 to 30 do
   bool, x := RandomElementOfOrder(G, 2);
   C := CentraliserOfInvolution(G, x);
   CTree := CompositionTree(C);
   n := CompositionTreeOrder(C);
   if n eq 21799895040 then 
      found := true;
      break; 
   end if;
end for;
found;
CompositionTreeOrder(C);
DisplayCompTreeNodes(C : Leaves := true);
SetEchoInput(ei);
