Strange results with subgroups of automorphism group of graphs

There is an element in the automorphism group of graph
which is in no subgroup (though the full group is a subgroup).

I suspect the problem is the usage of zero.

G1=Graph(':H`ECw@HGXGAGUG`e');G=G1.automorphism_group();sg=G.subgroups()
print G.gens()
  [(0,7)(1,4)(2,3)(6,8)]
print sg
  [Permutation Group with generators [()], Permutation Group with generators 
[(1,8)(2,5)(3,4)(7,9)]]
for i in G:
    co=len([i for j in sg if i in j])
    if co==0:  print i,co
  (0,7)(1,4)(2,3)(6,8) 0
    
sage: [G.is_isomorphic(i) for i in sg]

  [False, True]

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