Just for your information, Debian 7.1.0 during installation says that computer needs rtl_mic/rtl8168e3.fw, which is in their non-free repository.
http://packages.debian.org/wheezy/firmware-realtek
At any case, wired connection works perfectly with Trisquel. This is the ethernet entry from lspci
Ethernet controller: Realtek Semiconductor Co., Ltd. RTL8111/8168 PCI Express Gigabit Ethernet controller (rev 07)
Κάρτες 3G | 33 |
Acquisition cards | 34 |
Bluetooth | 56 |
Κάρτες ethernet | 170 |
Συσκευές ανγνώρισης δακτυλικών αποτυπωμάτων | 11 |
Host Controllers | 170 |
Modems | 18 |
Notebooks | 785 |
Printers | 125 |
RAID adapters | 20 |
Σαρωτές | 24 |
Συσκευές ανάγνωσης καρτών SD | 56 |
Κάρτες ήχου | 140 |
Κάρτες γραφικών | 341 |
Διαδικτυακές κάμερες Webcam | 132 |
Κάρτες wifi | 228 |
TOTAL | 2343 |