Truncation of a Cayley graph

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How do you show that the Cayley graph Cay ($A_4$, {(0,1,2), (0,2,1), (0, 1), (2, 3)}) is the truncation of $K_4$? What's its automorphism group? Remark: $A_4$ is the alternating group and $K_4$ is the complete graph on 4 elements. Thanks for you reply.