"Source: Text/Group/GrpMatInf.text";
"Line: 1275";
"Date: Thu Apr  1 11:57:57 2021";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpMatInf.text, line: 1275
// Example: H68E13 ()
print "Example: H68E13";
ei := GetEchoInput();
SetEchoInput(true);
M:= MatrixAlgebra (GF(17), 4);
a:= M![5, 5, 3, 3, 0, 5, 0, 3, 16, 16, 14, 14, 0, 16, 0, 14];
b:= M![9, 9, 0, 0, 0, 9, 0, 0, 10, 10, 8, 8, 0, 10, 0, 8];
G:= sub<GL(4,17)|a,b>;
IsNilpotent(G);
assert $1;
SylowSystem (G);
Order(G);
assert $1 eq 8704;
SetEchoInput(ei);
