| No. of vertices | Graph | Intersection Array |
| 25 | Paley graph $P_{25}$ | $\{12,6;1,6\}$ |
| 25 | Paulus graphs | $\{12,6;1,6\}$ |
| 26 | $K_{13,13}-I$ | $\{12,11,1;1,11,12\}$ |
| 28 | $J(8,2)$ | $\{12,5;1,4\}$ |
| 35 | $J(7,3)$ | $\{12,6,2;1,4,9\}$ |
| 40 | Point graphs of $GQ(3,3)$s | $\{12,9;1,4\}$ |
| 45 | Point graph of $GQ(4,2)$ | $\{12,8;1,3\}$ |
| 48 | Hadamard graph on 48 vertices | $\{12,11,6,1;1,6,11,12\}$ |
| 49 | $H(2,7)$ | $\{12,6;1,2\}$ |
| 68 | Doro graph | $\{12,10,3;1,3,8\}$ |
| 72 | Suetake graph | $\{12,11,8,1;1,4,11,12\}$ |
| 125 | $H(3,5)$ | $\{12,8,4;1,2,3\}$ |
| 175 | Line graph of Hoffman-Singleton graph | $\{12,6,5;1,1,4\}$ |
| 208 | Unitary graph from $\mathrm{P} \Gamma \mathrm{U}(3,4)$ | $\{12,10,5;1,1,8\}$ |
| 256 | $H(4,4)$ | $\{12,9,6,3;1,2,3,4\}$ |
| 266 | Incidence graph of $PG(2,11)$ | $\{12,11,11;1,1,12\}$ |
| 364 | Point graph of $GH(3,3)$ | $\{12,9,9;1,1,4\}$ |
| 729 | $H(6,3)$ | $\{12,10,8,6,4,2;1,2,3,4,5,6\}$ |
| 2048 | Folded 12-cube | $\{12,11,10,9,8,7;1,2,3,4,5,12\}$ |
| 4096 | 12-cube $Q_{12} \cong H(12,2)$ | $\{12,11,10,9,8,7,6,5,4,3,2,1;1,2,3,4,5,6,7,8,9,10,11,12\}$ |
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Last updated: 12 August 2024