How to change Google chrome windows order in the Windows task panel

You could use 7 Taskbar Tweaker, which works on Windows 10 too.

The Grouping section under the middle pane has an option to "Drag within/between groups using right mouse button"

I usually do the close/reopen window trick to get the order right.

The steps are following:

1. I close a window I want it to go all on the right/bottom
2. I then click one of any other open remaining Chrome window to be sure that Chrome has the keyboard focus
3. I finally hit CTRL+SHIF+T (Windows) or COMMAND+SHIFT+T (MAC) to trigger the Chrome's command "reopen last closed window/tab". It will reopen the window I closed at (1.) and place it all the way to the right/bottom of the Chrome's window list.

Repeat it for several windows until you get the order you want, it takes a bit of practice to get the order right. One rule is to never close the window you want as leftmost/first.

For 1, this could be a few things, but I do not have enough information to work on.

For 2. Drag a tab out of the window. This will make this new tab the last window opened. Then shift click the left most and right most tab, and drag them into the new window. This will keep open all the tabs while moving the window to the last one.

For 3, I think you can only open one window without third party extensions. You can however have Chrome re-open from last session, which will let you restart Chrome exactly from where you left off.