At the time of going to press, DxO Mark (www.dxomark.com) did not have data for the NEX-C3 but, based on the images I have taken with the camera, I would say that it has a slightly higher dynamic range than the 12.4EV rating of the Alpha 55.
I found that it is possible to underexpose images to retain highlight detail and then brighten shadow areas in software. If you are so inclined, you can produce almost HDR-like images from raw files by underexposing and editing in this way.
However, for the more conventional photographer, the dynamic range, high level of detail and low noise all combine to allow a lot of flexibility when editing raw images. This is all very impressive for a compact system camera.