 
 
| Orbifold symbol | *22222 | 
| Transitivity (vertex, edge, ring) | (3,4,2) | 
| Vertex degrees | {4,4,4} | 
| 2D vertex symbol | {6.5.5.6}{6.5.6.5}{5.5.5.5} | 
| Delaney-Dress Symbol | <821.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:6 5,4 4 4> | 
| Dual net | hqc669 | 
| Image | s-net name | Other names | Space group | Space group number | Symmetry class | Vertex degree(s) | Vertices per primitive unit cell | Transitivity (Vertex, Edge) | 
|---|---|---|---|---|---|---|---|---|
|   | sqc1902 | Fmmm | 69 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc1903 | Fmmm | 69 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc2071 | Fmmm | 69 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc2175 | Fmmm | 69 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc7728 | P4/mmm | 123 | tetragonal | {4,4,4} | 16 | (3,4) | |
|   | sqc8072 | P4/mmm | 123 | tetragonal | {4,4,4} | 16 | (3,4) | |
|   | sqc8145 | P4/mmm | 123 | tetragonal | {4,4,4} | 16 | (3,4) | |
|   | sqc7601 | I4122 | 98 | tetragonal | {4,4,4} | 16 | (3,5) | |
|   | sqc7602 | I4122 | 98 | tetragonal | {4,4,4} | 16 | (3,5) | |
|   | sqc7765 | Fddd | 70 | orthorhombic | {4,4,4} | 16 | (3,5) | |
|   | sqc7766 | I4122 | 98 | tetragonal | {4,4,4} | 16 | (3,5) | |
|   | sqc7784 | Fddd | 70 | orthorhombic | {4,4,4} | 16 | (3,5) | |
|   | sqc7785 | Fddd | 70 | orthorhombic | {4,4,4} | 16 | (3,5) | |
|   | sqc8073 | I4122 | 98 | tetragonal | {4,4,4} | 16 | (3,5) | |
|   | sqc8087 | Fddd | 70 | orthorhombic | {4,4,4} | 16 | (3,5) | |
|   | sqc8093 | Fddd | 70 | orthorhombic | {4,4,4} | 16 | (3,5) | |
|   | sqc8122 | I4122 | 98 | tetragonal | {4,4,4} | 16 | (3,5) | |
|   | sqc1766 | Cmma | 67 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc1901 | Cmma | 67 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc2079 | Cmma | 67 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc2104 | P42/mcm | 132 | tetragonal | {4,4,4} | 8 | (3,4) | |
|   | sqc2105 | P4222 | 93 | tetragonal | {4,4,4} | 8 | (3,4) | |
|   | sqc2119 | Cmma | 67 | orthorhombic | {4,4,4} | 8 | (3,4) | |
|   | sqc2190 | P4222 | 93 | tetragonal | {4,4,4} | 8 | (3,4) | |
|   | sqc2191 | P4222 | 93 | tetragonal | {4,4,4} | 8 | (3,4) | |
|   | sqc2192 | P4222 | 93 | tetragonal | {4,4,4} | 8 | (3,4) | |
|   | sqc2193 | Cmma | 67 | orthorhombic | {4,4,4} | 8 | (3,4) | 
| Image | U-tiling name | PGD Subgroup | Transitivity (Vert,Edge,Face) | Vertex Degree | Vertex Symbol | P net | G net | D net | 
|---|---|---|---|---|---|---|---|---|
|  | UQC3736 | *22222a | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc7728 |  sqc7601 |  sqc2104 | 
|  | UQC3737 | *22222a | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc7174 |  sqc7602 |  sqc2105 | 
|  | UQC3738 | *22222a | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc7343 |  sqc7766 |  sqc2192 | 
|  | UQC3739 | *22222b | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc1571 |  sqc7785 |  sqc1766 | 
|  | UQC3740 | *22222a | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc8145 |  sqc8122 |  sqc2190 | 
|  | UQC3741 | *22222b | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc2175 |  sqc8087 |  sqc2119 | 
|  | UQC3742 | *22222a | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc8072 |  sqc8073 |  sqc2191 | 
|  | UQC3743 | *22222b | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc2071 |  sqc7784 |  sqc1901 | 
|  | UQC3744 | *22222b | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc1902 |  sqc8093 |  sqc2193 | 
|  | UQC3745 | *22222b | (3,4,2) | {4,4,4} | {6.5.5.6}{6.5.6.5}{5.5.5.5} |  sqc1903 |  sqc7765 |  sqc2079 |