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I use this for computing automorphism group:

G = SymmetricGroup(3)

H = libgap(G).AutomorphismGroup()

but when I want to compute order of automorphism group, I cant compute and I have this error:

Traceback (most recent call last): File "<stdin>", line 1, in <module> File "_sage_input_20.py", line 10, in <module> exec compile(u'open("___code___.py","w").write("# -- coding: utf-8 --\n" + _support_.preparse_worksheet_cell(base64.b64decode("RyA9IFN5bW1ldHJpY0dyb3VwKDMpCkggPSBsaWJnYXAoRykuQXV0b21vcnBoaXNtR3JvdXAoKQpILm9yZGVyKCk="),globals())+"\n"); execfile(os.path.abspath("___code___.py")) File "", line 1, in <module>

File "/tmp/tmpm9uLkv/___code___.py", line 5, in <module> exec compile(u'H.order() File "", line 1, in <module>

File "element.pyx", line 1867, in sage.structure.element.RingElement.order (sage/structure/element.c:15911) File "element.pyx", line 1873, in sage.structure.element.RingElement.additive_order (sage/structure/element.c:15968) NotImplementedError

I use this for computing automorphism group:

G = SymmetricGroup(3)
SymmetricGroup(3)
  
H = libgap(G).AutomorphismGroup()libgap(G).AutomorphismGroup()

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_20.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -- -*- coding: utf-8 --\n" -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("RyA9IFN5bW1ldHJpY0dyb3VwKDMpCkggPSBsaWJnYXAoRykuQXV0b21vcnBoaXNtR3JvdXAoKQpILm9yZGVyKCk="),globals())+"\n"); _support_.preparse_worksheet_cell(base64.b64decode("RyA9IFN5bW1ldHJpY0dyb3VwKDMpCkggPSBsaWJnYXAoRykuQXV0b21vcnBoaXNtR3JvdXAoKQpILm9yZGVyKCk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
<module>
  
 File "/tmp/tmpm9uLkv/___code___.py", line 5, in <module>
    exec compile(u'H.order()
  File "", line 1, in <module><module>
  
 File "element.pyx", line 1867, in sage.structure.element.RingElement.order (sage/structure/element.c:15911)
  File "element.pyx", line 1873, in sage.structure.element.RingElement.additive_order (sage/structure/element.c:15968)
NotImplementedErrorNotImplementedError