Not sure where you are but in the UK the supplied lead only fits a standard UK 3 pin socket, that's all its intended for. If you wish to use public charging stations you're going to need to buy a cable that specifically works for them.
Again in the UK, most public charging points already have the cable. Sounds like your not in the UK so if I were you I would take a picture of the sockets on the charging point and Google image search "Type 1", "type 2", "chademo" to work out which lead you need to buy . Hope that helps