"Source: Text/Group/GrpAuto.text";
"Line: 671";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Group/GrpAuto.text, line: 671
// Example: H74E5 ()
print "Example: H74E5";
ei := GetEchoInput();
SetEchoInput(true);
G := SmallGroup(81, 10);     
G;
A := AutomorphismGroup(G);
#A;
assert $1 eq 486;
Ngens(A);
assert $1 eq 5;
IsInner(A.3);
assert not $1;
Order(A.3);
assert $1 eq 3;
A.3;
A.3*A.4;
(A.3*A.4)^3;      
$1 eq Id(A);
assert $1;
SetEchoInput(ei);
