Also, if there are any other suggestions you have in general for Athens and Santorini I would love to hear them. I would like to be able to leave Athens early morning on Day 3 so that we can have almost a full day on our first island. We would like to see as much as we can without feeling like we are running around from island to island the whole time.
Close to this island is a little island that provides excellent snorkeling opportunities. You may even spot a few reef sharks. Bathtub-warm water and fine sand beaches kept me here for over three weeks. It will do the same for you. Visit between November and March for the best weather and the fewest people. May through October sees a harsh monsoon season that shuts the island down. The best way to get there is by boat from Pak Bara.
Lefkada is the island that’s not an island. You can drive to it across the causeway from the mainland, but it feels every bit an island. Aristotle Onassis bought the satellite island of Skorpios here as his own bit of getaway paradise. Beaches, windsurfing, boat hire, good food and wine are all here and there are few built-up package resorts. The main tourist area is centred on Nydri.
Since airline reservation requests are often made by city-pair (such as "show me flights from Chicago to Düsseldorf"), an airline that can codeshare with another airline for a variety of routes might be able to be listed as indeed offering a Chicago–Düsseldorf flight. The passenger is advised however, that airline no. 1 operates the flight from say Chicago to Amsterdam, and airline no. 2 operates the continuing flight (on a different airplane, sometimes from another terminal) to Düsseldorf. Thus the primary rationale for code sharing is to expand one's service offerings in city-pair terms to increase sales. 
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