A representation is a homomorphism from a group into a general linear group, and the composition of this with the determinant is called the determinant of the representation. In the case of Coxeter groups, for example the symmetric groups and hyperoctahedral groups, how many determinants of each kind appear? Which occur the most frequently? This talk presents joint work with Amritanshu Prasad, Arvind Ayyer, and Debarun Ghosh. All are welcome.