I can't understand why mkdir doesn't permit subdir entrance
d@wg:~$ sudo mkdir -m766 0
Password:
Sorry, try again.
Password:
d@wg:~$ ls -ls
total 16
4 drwxrw-rw- 2 root root 4096 2004-11-08 04:24 0
4 drwxr-xr-x 3 d d 4096 2004-11-05 08:09 56
4 drwxr-xr-x 3 d d 4096 2004-11-07 22:39 8
4 drwx------ 3 d d 4096 2004-11-05 08:43 Desktop
d@wg:~$ sudo mkdir -m766 0/churchState
d@wg:~$ ls -ls 0
ls: 0/churchState: Permission denied
total 0
d@wg:~$ sudo ls -ls 0
total 4
4 drwxrw-rw- 2 root root 4096 2004-11-08 04:25 churchState
d@wg:~$ sudo mkdir -m777 0/churchStateSep
d@wg:~$ ls -ls 0
ls: 0/churchState: Permission denied
ls: 0/churchStateSep: Permission denied
total 0
d@wg:~$ sudo ls -ls 0
total 8
4 drwxrw-rw- 2 root root 4096 2004-11-08 04:25 churchState
4 drwxrwxrwx 2 root root 4096 2004-11-08 04:28 churchStateSep
d@wg:~$
d@wg:~$ cd 0
bash: cd: 0: Permission denied
d@wg:~$ sudo cd 0
sudo: cd: command not found
d@wg:~$

The execute bit for directories is what allows entry. The 0766 allows reading the files, creating new files, but not entering the directory or access subdirectories for the group or other users.