this is a thought/hack only for consideration:
searching online: a debian[-testing] user had issues with a t460
(power-management or wake from suspend on battery; yes a different issue
to you; {stefon:2016-03-26}) which was fixed with a later 4.5 kernel.
the following is a link to install another kernel should you feel comfortable
to try.
http://ubuntuhandbook.org/index.php/2016/05/install-linux-kernel-4-6-ubuntu-16-04/
note: I would NOT delete your existing kernel. I am also assuming you
have GRUB installed. If there are problems select an older kernel (at
grub menu) & just remove (dpkg -r) the newer kernel.
This is something you might want to consider trying/testing. Any
questions, please ask. (if you have ubuntu 16.10; a live boot of that
would test same thing without altering your sdd|disk).
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Title:
No internet connection through WLAN although connected to network
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