This NIC is integrated into a motherboard. Support for this device is relatively new, and was not available (out of the box) in Debian 7 (Wheezy) as of Summer 2014.
lspci -nnpk
00:19.0 Ethernet controller [0200]: Intel Corporation Ethernet Connection I217-LM [8086:153a] (rev 05)
lspci -v
00:19.0 Ethernet controller: Intel Corporation Ethernet Connection I217-LM (rev 05)
Subsystem: Dell Device 0618
Flags: bus master, fast devsel, latency 0, IRQ 91
Memory at f3100000 (32-bit, non-prefetchable) [size=128K]
Memory at f3139000 (32-bit, non-prefetchable) [size=4K]
I/O ports at 9020 [size=32]
Capabilities: <access denied>
Kernel driver in use: e1000e
lspci -vmmnn
Slot: 00:19.0
Class: Ethernet controller [0200]
Vendor: Intel Corporation [8086]
Device: Ethernet Connection I217-LM [153a]
SVendor: Dell [1028]
SDevice: Device [0618]
Rev: 05