[math] \newcommand{\mathds}{\mathbb}[/math]

Find and then write down a brief account of the Shephard-Todd theorem, stating that the irreducible complex reflection groups are

[[math]] H_N^{sd}=\left\{U\in H_N^s\Big|(\det U)^d=1\right\} [[/math]]

along with a number of exceptional examples, more precisely [math]34[/math] of them.