Subgroup separability in integral group rings

AbstractWe give a list of finite groups containing all finite groups G such that the group of units ZG⁎ of the integral group ring ZG is subgroup separable. There are only two types of these groups G for which we cannot decide whether ZG⁎ is subgroup separable, namely the central product Q8YD8 and Q8×Cp with p prime and p≡−1mod(8)