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