# Thread: group permutations 8

1. ## group permutations 8

Find a normal subgroup in A4 of order 4.

Please show steps. Thanks!

2. Originally Posted by mpryal
Find a normal subgroup in A4 of order 4.

Please show steps. Thanks!
$V=\{ \text{id},(12)(34),(13)(24),(14)(23)\}$

Show that $\sigma V = V\sigma$ for any $\sigma \in A_4$.