All this data is potentially out of date, and should be taken with a truckload of salt
Due primarily to its bonus to fighter and fighter bomber damage output, and that a supercarrier's primary role is to cause damage, the Nyx is the overwhelming favorite supercarrier amongst pod pilots. However, this is offset by the fact that the Nyx has the weakest tank of all the supercarriers unless the pilot is also equipped with a full Slave implant set, so extra care should be taken to keep it alive during a large fleet fight.
Below are additional ships images. Click the image below for a larger version: