The "virtual function table" or "virtual method table" is a list of method pointers that each class has. It contains pointers to the virtual methods in the class.
Each instance of a class has a pointer to the table, which is used when you call a virtual method from the instance. This is because a call to a virtual method should call the method associated with the class of the actual object, not the class of the reference to the object.
If you for example have an object reference to a string:
object obj = "asdf";
and call the virtual method ToString:
string text = obj.ToString();
it will use the String.ToString method, not the Object.ToString method. It's using the virtual method table of the String class (which the pointer in the string instance is pointing to), not the virtual method table of the Object class.