pleisoteuthis
According to the literature I have on Solnhofen, there are at least 8 known genus of this animal, and some have more than 1 species. As well, there are a few unnamed/undescribed animals. Plesioteuthis has a long narrow gladius which culminates into a cone- the fins are attached at the sides of this cone. Trachyteuthis is also fairly common cuttlefish. It has a heavy, massive ossa sepia which can reach lengths of up to 75cm, and becomes wing like and widened at its posterior end.