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- 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.

Any help appreciated.