If you click and hold on the icon in the top right next to the close icon (Undock into separate window button), you are given the option to dock it to the right. See screenshot:
Starting in Chrome 41, you are able to use Ctrl + Shift + D (Windows/Linux) or Command (⌘) + Shift + D (Mac OS X) to be able to toggle between these views.
Starting in Chrome 46, they’ve finally changed the user interface for the docking location. There’s a vertical ellipsis now and in there it has explicit buttons for each docking location. See screenshot:
