A click on the chat indicator expands the interface. All online Facebook friends are now shown along with a link to friends lists and the options. The easiest way to drop out of chat is to click on the small green and white switch that you see next to Other Friends. If you click it you go offline and none of your friends will see that you are actually online and available for chat.
You can alternatively click on Options > Go Offline which sets your status to offline until the next time that you click on chat.
The two options so far are there to go completely offline on Facebook, so that no one can see that you are online. Some Facebook users may prefer to stay online for select friends, and offline for others.
Enter Friend Lists. You can create Friend Lists on Facebook group your friends. You may want to create a group for your family, one for work or school, and maybe another for your football buddies or poker group. You can then select to be online or offline for each individual friend list that you have created.
You create a new friend list with a click on chat and the selection of Friend Lists at the top of the window.
Enter a descriptive name for the new group and hit return. It should now appear in the chat listing. Move your mouse cursor over the new list and select the edit link next to it. Edit only appears if you mouse over the new group.
Facebook displays all of your friends in a new overlay window. You can add friends to the selected group with a click on their profile photo. Once you are done click the Save List button to save the list.
You can now go offline selectively so that selected friends will see that you are online and available, while others won’t see that you are online on Facebook.