| No. of vertices | Intersection Array | Graph |
| 64 | $\{6,5,4,3,2,1; 1,2,3,4,5,6\}$ | 6-cube $Q_6 \cong H(6,2)$ |
| 126 | $\{3,2,2,2,2,2;1,1,1,1,1,3\}$ | Tutte's 12-cage |
| 189 | $\{4,2,2,2,2,2;1,1,1,1,1,2\}$ | Line graph of Tutte's 12-cage |
| 728 | $\{4,3,3,3,3,3;1,1,1,1,1,4\}$ | Incidence graph of $GH(3,3)$ |
| 1716 | $\{7,6,6,5,5,4;1,1,2,2,3,3\}$ | Odd graph $O_7$ |
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Last updated: 7 March 2024