The irises of this group are sometimes placed in a genus of their own, Iridodictyum, from the classical Greek word τó δίκτυον for fishing net. This word Iridodictyum probably looks rather forbidding to those of you without a backgrouind in the ways of botanical nomenclature; but it's simply a restatement in romanized Greek of what the combination Iris reticulata says in Latin. Note that while Iris is feminine, Iridodictyum is neuter, so if you use Iridodictyum, you'll have to change some of the species names to agree with a neuter genus. Thus, Iris reticulata would become Iridodictyum reticulatum. In German they are called (among other names) die Netziris, from the German word das Netz for net.
They are easily grown with one caveat which one ignores at great risk: in our climate most of them require a very dry summer to persist from year to year. I'm experiencing an illustration of this now in my own garden: for years I covered the iris beds with a glass door during the dormant period of the irises. During those years the plants increased in numbers and size. Last summer I did not cover the beds. This year there are many disappointing gaps in the plantings. Mice, rabbits and deer do not seem to bother these plants, but hot, moist soil can be deadly when they are dormant.
Shown above is the hybrid 'Pixie'.