| Graph | No. of vertices | Diameter |
| Truncated Witt graph | 506 | 3 |
| Coset graph of doubly truncated binary Golay code | 512 | 3 |
| 9-cube $Q_9 \cong H(9,2)$ | 512 | 9 |
| Folded 10-cube | 512 | 5 |
| $H(3,8)$ | 512 | 3 |
| $\mathrm{H}_2(3,3)$ graph | 512 | 3 |
| Halved 10-cube | 512 | 5 |
| $\mathrm{NU}_3(5)$ graph | 525 | 2 |
| Unitary graph from $\mathrm{P} \Gamma \mathrm{U}(3,5)$ | 525 | 3 |
| $\mathrm{O}_{10}^+(2)$ graph | 527 | 2 |
| $\mathrm{J}(33,2)$ | 528 | 2 |
| $\mathrm{K}(33,2)$ | 528 | 2 |
| $\mathrm{NO}_{10}^-(2)$ graph | 528 | 2 |
| $H(2,23)$ | 529 | 2 |
| Paley graph $P_{529}$ | 529 | 2 |
| Peisert graph on 529 vertices | 529 | 2 |
| Sporadic Peisert graph on 529 vertices | 529 | 2 |
| $\mathrm{NU}_4(3)$ graph | 540 | 2 |
| Trsat graphs | 540 | 2 |
| Taylor graphs from $Co_3$ (2 graphs) | 552 | 3 |
| $\mathrm{Aut(Sz(8))}$ graph | 560 | 2 |
| $J(16,3)$ | 560 | 3 |
| $\mathrm{J}(34,2)$ | 561 | 2 |
| $\mathrm{K}(34,2)$ | 561 | 2 |
| $H(2,24)$ | 576 | 2 |
| Point graph of $\mathrm{GQ}(8,8)$ | 585 | 2 |
| $\mathrm{J}(35,2)$ | 595 | 2 |
| $\mathrm{K}(35,2)$ | 595 | 2 |
| Rank-3 graphs on 625 vertices | 625 | 2 |
| $H(2,25)$ | 625 | 2 |
| $H(4,5)$ | 625 | 4 |
| Paley graph $P_{625}$ | 625 | 2 |
| $\mathrm{VNO}_4^-(5)$ graph | 625 | 2 |
| $\mathrm{VO}_4^-(5)$ graph | 625 | 2 |
| $\mathrm{VO}_4^+(5)$ graph $\cong \mathrm{H}_5(2,2)$ graph | 625 | 2 |
| $\mathrm{J}(36,2)$ | 630 | 2 |
| $\mathrm{K}(36,2)$ | 630 | 2 |
| Grassmann graph $J_2(6,2)$ | 651 | 2 |
| $\mathrm{J}(37,2)$ | 666 | 2 |
| $\mathrm{K}(37,2)$ | 666 | 2 |
| Moscow-Soicher graph | 672 | 3 |
| $\mathrm{NU}_6(2)$ graph | 672 | 2 |
| $\overline{\mathrm{NU}_6(2)}$ graph | 672 | 2 |
| $H(2,26)$ | 676 | 2 |
| $J(17,3)$ | 680 | 3 |
| $\mathrm{U}_6(2)$ polar graph | 693 | 2 |
| $\mathrm{J}(38,2)$ | 703 | 2 |
| $\mathrm{K}(38,2)$ | 703 | 2 |
| $J(13,4)$ | 715 | 4 |
| Incidence graph of $GH(3,3)$ | 728 | 6 |
| Coset graph of extended ternary Golay code | 729 | 3 |
| Coset graph of shortened extended ternary Golay code | 729 | 5 |
| Games graph | 729 | 2 |
| $H(2,27)$ | 729 | 2 |
| $\mathrm{H}_3(2,3)$ graph | 729 | 2 |
| $H(3,9)$ | 729 | 3 |
| $H(6,3)$ | 729 | 6 |
| Paley graph $P_{729}$ | 729 | 2 |
| Peisert graph on 729 vertices | 729 | 2 |
| $\mathrm{VO}_6^-(3)$ graph | 729 | 2 |
| $\mathrm{VO}_6^+(3)$ graph | 729 | 2 |
| $\mathrm{J}(39,2)$ | 741 | 2 |
| $\mathrm{K}(39,2)$ | 741 | 2 |
| Point graph of $\mathrm{GQ}(5,25) \cong \mathrm{O}_6^-(5)$ graph | 756 | 2 |
| Witt graph | 759 | 3 |
| Dual polar graph $\phantom{.}^2 \mathrm{D}_4(2)$ | 765 | 3 |
| $\mathrm{J}(40,2)$ | 780 | 2 |
| $\mathrm{K}(40,2)$ | 780 | 2 |
| $H(2,28)$ | 784 | 2 |
| $J(12,5)$ | 792 | 5 |
| $\mathrm{O}_6^+(5)$ graph | 806 | 2 |
| $J(18,3)$ | 816 | 3 |
| $\mathrm{J}(41,2)$ | 820 | 2 |
| $\mathrm{K}(41,2)$ | 820 | 2 |
| Point graphs of $\mathrm{GQ}(9,9)$s | 820 | 2 |
| $H(2,29)$ | 841 | 2 |
| Paley graph $P_{841}$ | 841 | 2 |
| Rank-3 $\mathrm{SRG}(841,168,47,30)$ | 841 | 2 |
| $\mathrm{J}(42,2)$ | 861 | 2 |
| $\mathrm{K}(42,2)$ | 861 | 2 |
| Dual polar graph $\phantom{.}^2 \mathrm{A}_6(2)$ | 891 | 3 |
| $H(2,30)$ | 900 | 2 |
| $\mathrm{J}(43,2)$ | 903 | 2 |
| $\mathrm{K}(43,2)$ | 903 | 2 |
| $\mathrm{J}(12,6)$ | 924 | 6 |
| $\mathrm{J}(44,2)$ | 946 | 2 |
| $\mathrm{K}(44,2)$ | 946 | 2 |
| $H(2,31)$ | 961 | 2 |
| Paley graph $P_{961}$ | 961 | 2 |
| Peisert graph on 961 vertices | 961 | 2 |
| Rank-3 graphs on 961 vertices | 961 | 2 |
| $J(19,3)$ | 969 | 3 |
| Paley graph $P_{977}$ | 977 | 2 |
| Ivanov-Ivanov-Faradjev graph | 990 | 8 |
| $\mathrm{J}(45,2)$ | 990 | 2 |
| $\mathrm{K}(45,2)$ | 990 | 2 |
| Paley graph $P_{997}$ | 997 | 2 |
| $H(3,10)$ | 1000 | 3 |