Windows – Group IE tabs into one taskbar icon

See "How to Disable IE8/IE9 Tab previews in Windows 7 taskbar"

To disable IE tab previews in taskbar, just open Internet Explorer > Tools > Internet Options. Open settings for ‘Tabs’ and uncheck the box saying ‘Show previews for individual tabs in the taskbar’. Click Ok and restart IE for letting changes to take effect.

_{(The Tabs settings are opened via a button in the General tab of Internet Options)}

This solution works for Internet Explorer versions 8 through 11.

I can not solve your problem directly, but I have the best workaround possible.

You can also create desktop shortcuts for other websites and apps you regularly use, even if they're not installed from the Chrome Web Store. Follow these steps:

1. Click the wrench icon on the browser toolbar.
2. Select Tools.
3. Select Create application shortcuts.
4. In the dialog that appears, choose where you'd like the shortcuts to be placed on your computer.
5. Click Create. -this guide to creating Application shortcuts has been copied from Google's support pages.

Here is what your looking for...

1. Right click on the shortcut or menu item you use to start the program.
2. Now, click on properties.
3. Note the item labeled Run that's set to "Normal Window". Change that to "Maximized".

After this is done, you can drag and drop the shortcut to the start menu or taskbar and you should be fine. I tried this with Windows Vista, and it worked great. I see no reason why this shouldn't work for Windows 7