After Nelson, 1994, and Froese & Pauly, 2001 [“The Fishbase”]

<==o Gaidropsarinae (rocklings) [N: 3/17] [FB: 3/16]
   |--o Ciliata [2]
   |  |-- C. mustela (Linnaeus, 1758) (viisiviiksimerimade; Fivebeard rockling)
   |  `-- C. septentrionalis (Collett, 1875) (Northern rockling)
   |--o Enchelyopus [Rhinonemus] [1 Recent species]
   |  `-- E. cimbrius (Linnaeus, 1766) (neliviiksimerimade; Fourbeard rockling) 
   `--o Gaidropsarus [Antonogadus, Onogadus, Onos] [13]
      |-- G. argentatus (Reinhardt, 1837) (Arctic rockling)
      |-- G. biscayensis (Collett, 1890) (Mediterranean bigeye rockling)
      |-- G. capensis (Kaup, 1858) (Cape rockling)
      |-- G. ensis (Reinhardt, 1837) (Threadfin rockling)
      |-- G. granti (Regan, 1903) (Azores rockling)
      |-- G. guttatus (Collett, 1890)
      |-- G. insularum Sivertsen, 1945 (Comb rockling)
      |-- G. macrophthalmus (Günther, 1867) (Bigeye rockling)
      |-- G. mediterraneus (Linnaeus, 1758) [Onos mediterranus] (välimerenmerimade; Shore rockling)
      |-- G. novaezelandiae (Hector, 1874) (New Zealand ling)
      |-- G. pacificus (Temminck & Schlegel, 1846)
      |-- G. parini Svetovidov, 1986
      `-- G. vulgaris (Cloquet, 1824) (kolmiviiksimerimade; Three-bearded rockling)

Note:

FishBase includes these to family Lotidae, where Nelson (1994) deals with them as a subfamily of Phycidae. The Back-link points to that direction, so one can say I lean more to that direction. Of course, new information can change everything.

Reference(s):