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Show that [itex]A_4[/itex], the group of even permutations on 4 letters, is a semidirect product:

[itex] A_4 \cong (C_2 \times C_2) \rtimes_{\varphi} C_3 [/itex]

and describe explicitly the associated homomorphism:

[itex] \varphi : C_3 \rightarrow Aut(C_2 \times C_2) [/itex]

thnx for help on the previous posts.

any help here and ill attempt the rest myself

kind regards

x