factory object creation using per-subclass method

I have a simple Factory (GenericFudge) that creates objects of different types depending on external circumstances. Currently, my code looks something like this:

abstract class Fudge {
    Fudge() {
    }
    void make() {
        System.out.println("made.");
    }
}

class VanillaFudge extends Fudge {
    @Override
    void make() {
        System.out.print("Vanilla ");
        super.make();
    }
}

class ChocolateFudge extends Fudge {
    @Override
    void make() {
        System.out.print("Chocolate ");
        super.make();
    }
}

class InvalidFlavorException extends Exception {};

// factory / proxy
public class GenericFudge {
    Fudge mFudge = null;
    GenericFudge(String flavor) throws InvalidFlavorException {
        if (flavor.equals("Chocolate")) {
            mFudge = new ChocolateFudge();
        } else if (flavor.equals("Vanilla")) {
            mFudge = new VanillaFudge();
        }
    }
    void make() {
        mFudge.make();
    }

    public static void main(String args[]) {
        for (String flavor : new String[] {"Chocolate", "Vanilla"}) {
            GenericFudge fudge;
            try {
                fudge = new GenericFudge(flavor);
                fudge.make();
            } catch (InvalidFlavorException e) {
                System.out.println("Sorry, we don't make that flavor");
            }
        }
    }
}

My goal is to get the details of chocolate and vanilla out of GenericFudge, so that when CaramelFudge is implemented, no changes to GenericFudge are required. For example, GenericFudge would iteratively call a "createIfItsMyFlavor()" method for every xxxFudge class. (In my actual application, I have to try them iteratively, but I'd be interested in other possibilities.)

My instinct was to use a static initializer per subclass (per xxxFudge) that adds "itself" to a list by calling a registerFudge method of GenericFudge, but this hits the chicken-and-egg problem (the class is never used, so its static initializer never gets invoked).

No doubt there's a better way I haven't envisioned. Thanks!