Okay, so i'm having trouble understanding the following question:(adsbygoogle = window.adsbygoogle || []).push({});

Determine the group of automorphisms of [tex]S_3[/tex].

I understand that the automorphisms must match orders of the same element, and since there are three permutations of order 2 and two of order 3, there are 6 "possible" permutations. But I don't know where to go from here. I'm pretty sure there's a better way than to tediously go through all six possible automorphisms, and explicitly check whether each work or not. Am i missing something here?

(I mean, how do you know when you'vedeterminedthe group?)

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# More automorphisms

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