| No. of vertices | Graph | Intersection Array |
| 8 | Cube $Q_3 \cong K_{4,4}-I \cong H(3,2)$ | $\{3,2,1;1,2,3\}$ |
| 10 | Petersen graph $O_3$ | $\{3,2;1,1\}$ |
| 14 | Heawood graph | $\{3,2,2;1,1,3\}$ |
| 18 | Pappus graph | $\{3,2,2,1;1,1,2,3\}$ |
| 20 | Desargues graph $D(O_3)$ | $\{3,2,2,1,1;1,1,2,2,3\}$ |
| 20 | Dodecahedron | $\{3,2,1,1,1;1,1,1,2,3\}$ |
| 28 | Coxeter graph | $\{3,2,2,1;1,1,1,2\}$ |
| 30 | Tutte's 8-cage | $\{3,2,2,2;1,1,1,3\}$ |
| 90 | Foster graph | $\{3,2,2,2,2,1,1,1;1,1,1,1,2,2,2,3\}$ |
| 102 | Biggs-Smith graph | $\{3,2,2,2,1,1,1;1,1,1,1,1,1,3\}$ |
| 126 | Tutte's 12-cage | $\{3,2,2,2,2,2;1,1,1,1,1,3\}$ |
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Last updated: 21 February 2017