Is it possible make exclusive roles for users?

For example. We have object, that contain two fields: FIELD1 and FIELD2. Need two group: GROUP1 and GROUP2.

GROUP1 can view FIELD1, but can't view FIELD2. GROUP2 can view FIELD2, but can't view FIELD1. How define such groups?

Because if GROUP2 don't inherit GROUP1 or vice versa then it display in "Settings/Users/Users/Access Rights" like options, but not like roles (selection).