"Source: Text/Group/GrpAuto.text";
"Line: 521";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAuto.text, line: 521
// Example: H74E4 ()
print "Example: H74E4";
ei := GetEchoInput();
SetEchoInput(true);
SetEchoInput(false);
load hs100;
SetEchoInput(true);
aut := AutomorphismGroup(G);
P := PermutationGroup(aut);
P;
lix := LowIndexSubgroups(P, 100);
[ Index(P, H) : H in lix];
H := CosetImage(P, lix[3]);
H;
CompositionFactors(H);
SetEchoInput(ei);
