I have a Lenovo IdeaPad 320-15AST and I have Debian on it but the touchpad is not working and on my xinput list is not listed any touchpad:
xinput list
⎡ Virtual core pointer id=2 [master pointer (3)]
⎜ ↳ Virtual core XTEST pointer id=4 [slave pointer (2)]
⎣ Virtual core keyboard id=3 [master keyboard (2)]
↳ Virtual core XTEST keyboard id=5 [slave keyboard (3)]
↳ Power Button id=6 [slave keyboard (3)]
↳ Video Bus id=7 [slave keyboard (3)]
↳ Power Button id=8 [slave keyboard (3)]
↳ EasyCamera id=9 [slave keyboard (3)]
↳ Ideapad extra buttons id=10 [slave keyboard (3)]
↳ AT Translated Set 2 keyboard id=11 [slave keyboard (3)]
But works perfectly on Windows. It's a Synaptic touchpad.