Automorphism Graph

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I have this given graph: $G=(\{1,2,3,4,5,6,7\}, \{(1,3),(3,6),(6,1),(2,5),(5,4),(5,7)\})$

Is the automorphism for this graph only the id?

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Your graph looks like this:

enter image description here

Can you see some automorphisms of the triangle? Of the three-pointed star? Can you get automorphisms of the whole graph from those?