It is possibly part of a separate fourth domain of life, Parakarya.
I used to research weird algae that don't fit in so well phylogenetically speaking, and I'm kinda annoyed by the philosophy of making everything its own group, so I read the above and thought, "yeah right"
Now that I've read the article... yeah this thing is REALLY, REALLY weird. Why does it only have 1 nuclear membrane!? What the fuck are filamentous chromosomes!? WHERE IS ITS CYTOSKELETON!? HOW DOES IT DO ANYTHING WITHOUT A CYTOSKELETON!?