| No. of vertices | Graph | Intersection Array |
| 16 | Complement of $H(2,4)$ | $\{9,4;1,6\}$ |
| 20 | $K_{10,10}-I$ | $\{9,8,1;1,8,9\}$ |
| 20 | $J(6,3)$ | $\{9,4,1;1,4,9\}$ |
| 26 | Incidence graph of $(13,9,3)$-design | $\{9,8,3;1,6,9\}$ |
| 54 | Incidence graph of $\mathrm{STD}_3[9;3]$ | $\{9,8,6,1;1,3,8,9\}$ |
| 64 | $H(3,4)$ | $\{9,6,3;1,2,3\}$ |
| 146 | Incidence graph of $PG(2,8)$ | $\{9,8,8;1,1,9\}$ |
| 162 | $AG(2,9)$ minus a parallel class | $\{9,8,8,1;1,1,8,9\}$ |
| 256 | Folded 9-cube | $\{9,8,7,6;1,2,3,4\}$ |
| 280 | Unitals in $PG(2,4)$ (from $\mathrm{PSL}(3,4)$) | $\{9,8,6,3;1,1,3,8\}$ |
| 512 | 9-cube $Q_9 \cong H(9,2)$ | $\{9,8,7,6,5,4,3,2,1;1,2,3,4,5,6,7,8,9\}$ |
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Last updated: 7 June 2017