Dear GAP Forum,

it has been asked how to compute the conjugacy classes
of subgroups of the alternating group A11 on 11 points in GAP.

GAP's library of tables of marks contains
the table of marks of A11,
which allows one to access representatives of
the conjugacy classes of subgroups.

For example, if we choose A5 instead of A11,
the construction looks as follows.

gap> tom:= TableOfMarks( "A5" );
TableOfMarks( "A5" )
gap> nccl:= Length( OrdersTom( tom ) );
9
gap> reps:= List( [ 1 .. nccl ], i -> RepresentativeTom( tom, i ) );
[ Group(()), Group([ (2,3)(4,5) ]), Group([ (3,4,5) ]), 
  Group([ (2,3)(4,5), (2,4)(3,5) ]), Group([ (1,2,3,4,5) ]), 
  Group([ (1,2)(4,5), (3,4,5) ]), Group([ (1,4)(2,3), (1,3)(4,5) ]), 
  Group([ (3,4,5), (2,4)(3,5) ]), Group([ (2,4)(3,5), (1,2,5) ]) ]

All the best,
Thomas

Miles-Receive-Header: reply