heres my final one. thnx.

Show that $\displaystyle A_4$, the group of even permutations on 4 letters, is a semidirect product:

$\displaystyle A_4 \cong (C_2 \times C_2) \rtimes_{\varphi} C_3 $

and describe explicitly the associated homomorphism:

$\displaystyle \varphi : C_3 \rightarrow Aut(C_2 \times C_2) $

thnx for help on the previous posts.

any help here and ill attempt the rest myself

kind regards

x