"Source: Text/Group/GrpMatGen.text";
"Line: 2837";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpMatGen.text, line: 2837
// Example: H66E13 ()
print "Example: H66E13";
ei := GetEchoInput();
SetEchoInput(true);
// no-test
G := OmegaPlus (16, 4);
// some natural copy of the group 
G := RandomConjugate (G);
g := Random (G);
z := ClassicalCentraliserOrder (G, g);
C := ClassicalCentraliser (G, g);
FactoredOrder (C) eq z;
g := Random (G);
m := ClassicalClassSize (G, g);
C := ClassicalCentraliser (G, g);
#G div #C eq m;
x := Random (G);
flag, c := ClassicalIsConjugate (G, g, g^x);
g^c eq g^x;
SetEchoInput(ei);
