"Source: Text/Group/GrpASim.text";
"Line: 3105";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpASim.text, line: 3105
// Example: H72E17 ()
print "Example: H72E17";
ei := GetEchoInput();
SetEchoInput(true);
G := Sz(8);
_, P := SuzukiPermutationRepresentation(G);
// for example over GF(9)
M := PermutationModule(P, GF(3, 2));
factors := CompositionFactors(M);
exists(m64){f : f in factors | Dimension(f) eq 64};
assert $1;
m64;
H := ActionGroup(m64);
IsAbsolutelyIrreducible(H);
assert $1;
flag, G := IsOverSmallerField(H);
Degree(G), CoefficientRing(G);
time flag, iso, inv, g2slp, slp2g := RecogniseSz(G);
iso;
R := RandomProcess(G);
g := Random(R);
time w := Function(g2slp)(g);
time slp2g(w) eq g;
assert $1;
time SatisfiesSzPresentation(G);
assert $1;
SetEchoInput(ei);
