My question is the following: What are the finite subgroups of O(3), the group of linear isometries?
I managed to find a lot of good references describing the finite subgoups of SO(3) (only direct isometries), but not O(3). This pdf for instance.
Can someone please help me find a reference on the subject?
Since $O(3)$ is isomorphic to $SO(3)\times\mathbb{Z}_2$. Understanding the subgroups of products of groups is explained in this post and the group $\mathbb{Z}_2$ is very simple to work with.