Well, there are two points in that.
First, Java supports an implementation in interfaces. You need to use the default keyword, which is in Java since Java 9 (I am not quite sure about the version number). But, why would you do that?
Interfaces share a common interface for several classes and can therefor be used as data types. You can for example write a method, which needs a parameter of an interface type. Within the method you can then call all the parameters methods, where you know their signature, based on the interface.
The point here is, that interfaces describe common behavior. That is, what interfaces are for!
The difference between (abstract) classes and interfaces is: in (abstract) classes, you define, what you have and what it will look like. Inheritance in this case then is a relation of extension (or spezialization), so you describe it in form of the child IS a parent, but it may have something more. But the IS relation is the basic point.
Interfaces describe the behavior, so a class that implements a interface acts like that interface. LinkedList and ArrayList are quite good examples. Internally they look quite different, but they both store many elements (as hash lists do too). Both classes implement the List interface, because you can both treat them as lists: you can for example iterate over them, which is not the case in hash maps.
Thus, if you want to share common structure and content, use inheritance and maybe abstract classes to group them. If you want to share common behavior, use interfaces, because it doesn't matter, how they look inside, but what you can do with them. So you group it by action.