Not sure if you are asking about this particular daylily "Sailing at Dawn', but as a general rule daylilies do not come true from seed. That is not a bad thing but a very exciting thing, it means daylilies are sort of like people: the kids look different from the parents most of the time, sometimes very much different and some times very similar. It makes hybridizing very interesting and enjoyable when trying to create improved plants.
This really should be in a new thread, but being you are new here lets overlook that for now. It might get moved by the moderator but for now I want to answer your question. Yes a division will give you an identical plant, seed will not. Many daylilies grow small plants on the scapes called proliferations. If those are allowed to grow and form roots, then they can be removed and they will also provide an identical plant(seems there is some discussion on whether they will be totally identical) but most people accept that they are normally close enough the difference will not be noticeable.
I have seen seed advertised for sale as if the seed would produce duplicates of the pod parent plants, but I think only a few species daylilies will actually produce duplicates from seed, and those are not the plants people are wanting to grow.