"Source: Text/Group/GrpData.text";
"Line: 2707";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpData.text, line: 2707
// Example: H73E16 ()
print "Example: H73E16";
ei := GetEchoInput();
SetEchoInput(true);
D := RationalMatrixGroupDatabase();
#D;
assert $1 eq 354;
maxdim := LargestDimension(D);
maxdim;
assert $1 eq 31;
&+[ NumberOfGroups(D, d) : d in [ 1 .. maxdim ] ];
assert $1 eq 354;
S := [ NumberOfGroups(D, d) : d in [ 1 .. maxdim ] ];
Max(S);
time orders := [#Group(D, 24, i): i in [1 .. NumberOfGroups(D, 24)]];
Min(orders);
SetEchoInput(ei);
