[math-fun] Maximal finite subgroups of GL(n,Z)

Can anyone please point me to any article or book that addresses the question of what are the maximal finite subgroups of GL(n,Z) ? What I'm ultimately interested in is this: Which n-dimensional lattices L (in R^n) have a maximal automorphism group Aut(L) -- maximal as a subgroup of O(n) ? (Aut(L) here is the group of isometries of R^n that fix the origin and take L onto L.) E.g., in 2D these are the square and triangular lattices. In 3D I think these are the cubic, bcc and fcc lattices. I don't know the answer for higher dimensions. Thanks, Dan