Direct product of two semi-direct products

[Cairo]

Homework Statement

I need to find the number of elements and conjugacy classes for the direct product.

Relevant Equations

$$G=(C_7:C_3\ )\times(C_{13}:C_3\ )$$

After finding the number of elements for this group, how do I extend the argument to $$p,q\equiv1\left(mod\ 3\right)$$, where $$G=(C_p:C_3\ )\times(C_q:C_3\ )$$Any help appreciated.

 

[fresh_42]

What is $C_p$ and what is $C_7:C_3$?

 

[Cairo]

$$C_7 : C_3$$ is a semi-direct product.

$$C_p$$ is as described. A prime, congruent to 1 mod 3.