| No. of vertices | Intersection Array | Graph |
| $64$ | $\{6,5,4,3,2,1; 1,2,3,4,5,6\}$ | $\text{6-cube }Q_6 \cong H(6,2)$ |
| $126$ | $\{3,2,2,2,2,2;1,1,1,1,1,3\}$ | $\text{Tutte's 12-cage}$ |
| $189$ | $\{4,2,2,2,2,2;1,1,1,1,1,2\}$ | $\text{Line graph of Tutte's 12-cage}$ |
| $728$ | $\{4,3,3,3,3,3;1,1,1,1,1,4\}$ | $\text{Incidence graph of }GH(3,3)$ |
| $1416$ | $\{7,6,6,5,5,4;1,1,2,2,3,3\}$ | $\text{Odd graph }O_7$ |
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Last updated: 21 February 2017