Permissions

octal · symbolic · checkboxes
Permission bits — read, write, execute per owner, group and others
Owner
Group
Others
$

Common modes

Ready-to-run command

$

chmod 644 <path>

The matrix, the octal and the symbolic view are one mode: editing any of them updates the others, and the special bits (setuid, setgid, sticky) turn the octal into four digits. The expression applies to the current mode like GNU chmod; the URL state holds only the mode, never the expression.

umask

file · directory
$

A process creates files as 666 & ~umask and directories as 777 & ~umask: type a umask (022) to see the creation modes it yields.