# Revision history [back]

Nathann is correct. However, you also used the (slightly) wrong command for what you wanted, and it isn't quite available the way it should be.

sage: d = D[0] sage: d1 = d._gap_() sage: d1.AutomorphismGroup() Group( [ GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group( [ (5,6), (1,2,3,4) ] ), [ (1,2,3,4), (5,6) ], [ (1,2,3,4), (5,6) ] ), GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group( [ (5,6), (1,2,3,4) ] ), [ (5,6), (1,2,3,4) ], [ (5,6), (1,4,3,2) ] ), GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group( [ (5,6), (1,2,3,4) ] ), [ (5,6), (1,2,3,4) ], [ (1,3)(2,4)(5,6), (1,2,3,4) ] ), GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group( [ (5,6), (1,2,3,4) ] ), [ (1,2,3,4), (5,6) ], [ (1,2,3,4)(5,6), (5,6) ] ) ] )

See http://trac.sagemath.org/ticket/19328

Nathann is correct. However, you also used the (slightly) wrong command for what you wanted, and it isn't quite available the way it should be.

sage: d = D[0]
sage: d1 = d._gap_()
sage: d1.AutomorphismGroup()
Group( [ GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group(
[ (5,6), (1,2,3,4) ] ), [ (1,2,3,4), (5,6) ], [ (1,2,3,4), (5,6) ] ),
GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group(
[ (5,6), (1,2,3,4) ] ), [ (5,6), (1,2,3,4) ], [ (5,6), (1,4,3,2) ] ),
GroupHomomorphismByImages( Group( [ (5,6), (1,2,3,4) ] ), Group(
[ (5,6), (1,2,3,4) ] ), [ (5,6), (1,2,3,4) ],
[ (1,3)(2,4)(5,6), (1,2,3,4) ] ), GroupHomomorphismByImages( Group(
[ (5,6), (1,2,3,4) ] ), Group( [ (5,6), (1,2,3,4) ] ), [ (1,2,3,4), (5,6)
], [ (1,2,3,4)(5,6), (5,6) ] ) ] ))


See http://trac.sagemath.org/ticket/19328Trac 19328.