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Constructing graphs using permutation or symmetric groups

I'm trying to construct a graph whose vertices are the elements of a permutation group or a symmetric group. Whenever I do this, it ignores the identity element (). For instance, when I use the Symmetric Group S3, it prints a graph with 5 vertices and the missing vertex is the identity.

Any ideas on why this happening and how I can fix it?

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Constructing graphs using permutation or symmetric groups

I'm trying to construct a graph whose vertices are the elements of a permutation group or a symmetric group. Whenever I do this, it ignores the identity element (). For instance, when I use the Symmetric Group S3, it prints a graph with 5 vertices and the missing vertex is the identity.

Any ideas on why this happening and how I can fix it?