word usage - Use of "yet", "however" and "but"

Here are some sentences with 'Yet', 'however' and 'and'

1. 
   

   She hasn't got many friends, yet everyone likes her.

   
   


2. 
   

   She hasn't got many friends, however, everyone likes her.

   
   
   


3. 
   

   She hasn't got many friends, but everyone likes her.

   
   

I'm actually confused with the use of ‘yet’ because it's quite similar to ‘but’ and ‘however’. So, how is ‘yet’ different from them? Could you please tell me how to distinguish the differences in the usage of them.