To check a Channel User Permission Level you will first need to click on Manage Accounts on the left-hand side and select Channel Users.
In the very right-hand column you will see a little icon that looks like an eye, which you will need to select.
A pop-up box should appear which will show you which Permission Level is selected. To the right of the Permission Levels you will see View Permission Matrix, which when selected brings up another pop-up window containing detailed information on which Levels have which functionalities.
For your convenience I have attached a copy of the Permission Levels table below.
For questions, please contact firstname.lastname@example.org.