| 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 $GH(3,3)$ |
| 729 | $\{12,10,8,6,4,2;1,2,3,4,5,6\}$ | $H(6,3)$ |
| 924 | $\{36,25,16,9,4,1;1,4,9,16,25,36\}$ | $J(12,6)$ |
| 1716 | $\{42,30,20,12,6,2;1,4,9,16,25,36\}$ | $J(13,6)$ |
| 1716 | $\{7,6,6,5,5,4;1,1,2,2,3,3\}$ | Odd graph $O_7$ |
| 2048 | $\{22,21,20,3,2,1;1,2,3,20,21,22\}$ | Coset graph of the shortened binary Golay code |
| 2048 | $\{12,11,10,9,8,7;1,2,3,4,5,12\}$ | Folded 12-cube |
| 2048 | $\{66,45,28,15,6,1;1,6,15,28,45,66\}$ | Halved 12-cube |
| 3003 | $\{48,35,24,15,8,3;1,4,9,16,25,36\}$ | $J(14,6)$ |
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Last updated: 12 August 2024