| No. of vertices | Graph | Intersection Array |
| 16 | Complement of Clebsch graph | $\{10,3;1,6\}$ |
| 21 | $J(7,2)$ | $\{10,4;1,4\}$ |
| 21 | $K(7,2)$ | $\{10,6;1,6\}$ |
| 22 | $K_{11,11}-I$ | $\{10,9,1;1,9,10\}$ |
| 26 | Paulus graphs | $\{10,6;1,4\}$ |
| 27 | Complement of Schläfli graph | $\{10,8;1,5\}$ |
| 32 | Incidence graphs of $(16,10,6)$-designs | $\{10,9,4;1,6,10\}$ |
| 36 | $H(2,6)$ | $\{10,5;1,2\}$ |
| 56 | Gewirtz graph | $\{10,9;1,2\}$ |
| 63 | Conway-Smith graph | $\{10,6,4,1;1,2,6,10\}$ |
| 65 | Hall graph | $\{10,6,4;1,2,5\}$ |
| 112 | Doubled Gewirtz graph | $\{10,9,8,2,1;1,2,8,9,10\}$ |
| 182 | Incidence graph of $PG(2,9)$ | $\{10,9,9;1,1,10\}$ |
| 243 | $H(5,3)$ | $\{10,8,6,4,2;1,2,3,4,5\}$ |
| 315 | Hall-Janko near octagon from $J_2.2$ | $\{10,8,8,2;1,1,4,5\}$ |
| 512 | Folded 10-cube | $\{10,9,8,7,6;1,2,3,4,10\}$ |
| 1024 | 10-cube $Q_{10} \cong H(10,2)$ | $\{10,9,8,7,6,5,4,3,2,1;1,2,3,4,5,6,7,8,9,10\}$ |
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Last updated: 22 March 2024