All the icons are used to sort the list of neighbors in different order:
1) ABC puts friends in alphabetical order.
2) Heart-shaped handshake lists the favorite friends first. You can add friends to favorites using the same icon against their names.
3) Winged cap shows players from your alliance in the top of the list.
4) Cup of coffee puts recently active players first.
5) Zzz shows the "sleeping" friends in the top. The "sleeping" friends haven't entered the game for some period of time.
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