# Math Help - Conjugation classes

1. ## Conjugation classes

I want to calculate the conjugation classes of $A_4$ and prove that $A_4$ doesn't have subgroups of order 6.

How can i do? Is there any relationship or implication with Lagrange or Cauchy Theorems?

Thanks a lot!

2. Originally Posted by roporte
I want to calculate the conjugation classes of $A_4$ and prove that $A_4$ doesn't have subgroups of order 6.
Hint: The conjugacy class equation is $1 + 3 + 4 + 4 = 12$.

This means we cannot have a subgroup of order six because it is normal and none of the summand combinations can give us six.