Conjugacy classes in the affine semidirect product of orders eleven and five (source code)

= Conjugacy classes in the affine semidirect product of orders eleven and five

This group has seven conjugacy classes: the identity; two classes of five nonidentity translations, distinguished by square class of the translation parameter; and, for each of the four $r\in Q\setminus\{1\}$, one class $\{(r,b):b\in\mathbb F_{11}\}$ of size eleven.