Character tables of $D_n$?

Question

I have just obtained the character table of $D_4$, and now I want to know if all $D_n$ groups have similar character tables. Any help, please?

Answer 1

There are many references in the literature, e.g., the article Characters of the dihedral group, and Serre's book on linear representations of finite groups.

Answer 2

Yes, because the relation about your elements. Let $ r $ be rotation and $ s$ be simetry.

$sr=r^{n-1}s$, $r^n=1$ and $s^2=1$.

That's produces similar tables.