Kefalonia (also spelled Cephalonia) is the administrative centre of the Ionian Islands, as well as being the largest island in the group at just over 300 square miles.
Kefalonia has some of the best beaches in the Ionians, with some of them being so picture-perfect they are widely used in Greek tourism adverts and literature.
The capital is Argostoli, in the south of this strangely-shaped island, and here you’ll find a couple of enjoyable museums and a pleasant waterfront.
Kefalonia also offers mountain hiking, a show cave at Drogorati, the Melissani cave which shelters an underground saltwater lake, and the beautiful town of Fiskardo, on the northern tip of the island.
Kefalonia does have an airport and there are charter flights from many European destinations in the summer. There are also flights to Athens and (seasonally) to Thessaloniki with Aegean Airlines. Sky Express flies to Preveza (for Lefkas) and to Zakynthos.
There are ferries to Kefalonia from some of the other Ionian Islands (though not direct from Corfu), and from some of the mainland ports too. Note that Kefalonia has several ports, including Sami, Fiskardo and Pessada, so always check where your boat will be arriving or leaving from.
To get from Pessada to Fiskardo involves driving the entire length of the island, a trip of about an hour if driving direct, and much longer is using the bus as you have to go into Argostoli and change buses.
From Fiskardo there are ferries to Ithaca and north to Lefkas. As with everywhere else in Greece, ferry timetables and ports do change, with more sailings in summer than in winter, so always double-check your information and plans.
Ferries in Greece has an excellent and very thorough website where in addition to checking ferry schedules and times, you can also book tickets and get lots of useful information about travelling by ferry in Greece.
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This page from Greece Travel Secrets of pictures of Skiathos in the Sporades by photographer Nick Karvounis will help you decide whether you want to visit this beautiful Greek island.