Does anyone know of any papers in which structural aspects of the orthogonal group of some indefinite non-unimodular integral lattice are calculated? The exact lattice isn't so important and they don't have to have determined the full group: aspects such as conjugacy classes or conjugacy classes of finite subgroups or similar would all be of interest to me. I'm mostly trying to learn some general ideas and techniques: structural results exist for unimodular lattices and orthogonal groups over fields but less so for the integral indefinite non-unimodular case.

Thanks!