The name of this group. The format is: projects/PROJECT_ID_OR_NUMBER/groups/GROUP_ID When creating a group, this field is ignored and a new name is created consisting of the project specified in the call to CreateGroup and a unique GROUP_ID that is generated automatically.
The name of the group's parent, if it has one. The format is: projects/PROJECT_ID_OR_NUMBER/groups/GROUP_ID For groups with no parent, parent_name is the empty string, "".