Set group and mod of a new directory

I try to set for NEW created files/directories in /home/test: 1) group to "test" 2) right to "770" This works for the group (1). chown :test /home/test chmod g+s /home/test But I do not get it for the rights (2). I want to set this behaviour to the directory /home/test and not to a user-setting (umask).