| Symbol | Symmetry class | Curvature | H-nets |
|---|---|---|---|
| *238 | Coxeter | -1/48 | 2 |
| *239 | Coxeter | -1/36 | 2 |
| *23(18) | Coxeter | -1/18 | 2 |
| *245 | Coxeter | -1/40 | 2 |
| *246 | Coxeter | -1/24 | 204 |
| *248 | Coxeter | -1/16 | 28 |
| *24(12) | Coxeter | -1/12 | 10 |
| *266 | Coxeter | -1/12 | 92 |
| *288 | Coxeter | -1/8 | 3 |
| *2(12)(12) | Coxeter | -1/6 | 11 |
| *334 | Coxeter | -1/24 | 2 |
| *344 | Coxeter | -1/12 | 108 |
| *446 | Coxeter | -1/6 | 14 |
| *488 | Coxeter | -1/4 | 14 |
| *2223 | Coxeter | -1/12 | 336 |
| *2244 | Coxeter | -1/4 | 358 |
| *2226 | Coxeter | -1/6 | 4 |
| *2224 | Coxeter | -1/8 | 326 |
| *2323 | Coxeter | -1/6 | 167 |
| *4444 | Coxeter | -1/2 | 91 |
| 2*23 | Hat | -1/12 | 10 |
| 2*44 | Hat | -1/4 | 6 |
| 2*26 | Hat | -1/6 | 10 |
| *2626 | Coxeter | -1/3 | 168 |
| 2*222 | Hat | -1/4 | 6 |
| *22222 | Coxeter | -1/4 | 161 |
| *222222 | Coxeter | -1/2 | 314 |
| 246 | Stellate | -1/12 | 0 |
| 4*3 | Hat | -1/12 | 0 |
| 6*2 | Hat | -1/12 | 0 |
| 23x | Projective | -1/6 | 0 |
| 266 | Stellate | -1/6 | 0 |
| 2223 | Stellate | -1/6 | 0 |
| 2*33 | Hat | -1/6 | 0 |
| 344 | Stellate | -1/6 | 0 |
| 3*22 | Hat | -1/6 | 0 |
| 2224 | Stellate | -1/4 | 0 |
| 22*2 | Hat | -1/4 | 0 |
| **2 | Annular | -1/4 | 0 |
| 24* | Hat | -1/4 | 0 |
| 4*22 | Hat | -1/4 | 0 |
| 22*3 | Hat | -1/3 | 0 |
| *3x | Mobius | -1/3 | 0 |
| 26x | Projective | -1/3 | 0 |
| 2226 | Stellate | -1/3 | 0 |
| 2233 | Stellate | -1/3 | 0 |
| **22 | Annular | -1/2 | 0 |
| 2*2222 | Hat | -1/2 | 0 |
| 22*22 | Hat | -1/2 | 0 |
| 2** | Annular | -1/2 | 0 |
| 2244 | Stellate | -1/2 | 0 |
| 2xx | Klein | -1/2 | 0 |
| 44x | Projective | -1/2 | 0 |
| *22x | Mobius | -1/2 | 0 |
| *2*2 | Annular | -1/2 | 0 |
| 222x | Projective | -1/2 | 0 |
| 22222 | Stellate | -1/2 | 0 |
| 44* | Hat | -1/2 | 0 |
| 2*x | Mobius | -1/2 | 0 |
| 222* | Hat | -1/2 | 0 |
| o2 | Toroidal | -1/2 | 0 |
| 3xx | Klein | -2/3 | 0 |
| o3 | Toroidal | -2/3 | 0 |
| 2266 | Stellate | -2/3 | 0 |
| 22223 | Stellate | -2/3 | 0 |
| *3*3 | Annular | -2/3 | 0 |
| *xx | Mobius | -1 | 0 |
| 222222 | Stellate | -1 | 0 |
| o22 | Toroidal | -1 | 0 |
| 22*x | Mobius | -1 | 0 |
| **x | Mobius | -1 | 0 |
| *** | Annular | -1 | 0 |
| 22*2222 | Hat | -1 | 0 |
| *2222x | Mobius | -1 | 0 |
| 22xx | Klein | -1 | 0 |
| xxx | Klein | -1 | 0 |
| o* | Annular | -1 | 0 |
| *22*22 | Annular | -1 | 0 |
| 2222* | Hat | -1 | 0 |
| 22** | Annular | -1 | 0 |
| 4444 | Stellate | -1 | 0 |
| 2222x | Projective | -1 | 0 |
| o33 | Toroidal | -4/3 | 0 |
| oo | Toroidal | -2 | 0 |
| o2222 | Toroidal | -2 | 0 |
| **xx | Mobius | -2 | 0 |
| o** | Annular | -2 | 0 |
| xxxx | Klein | -2 | 0 |
| 22222222 | Stellate | -2 | 0 |
| ooo | Toroidal | -4 | 0 |