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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