| Graph | No. of vertices | Diameter |
| $J(14,4)$ | 1001 | 4 |
| Paley graph $P_{1009}$ | 1009 | 2 |
| Paley graph $P_{1013}$ | 1013 | 2 |
| Paley graph $P_{1021}$ | 1021 | 2 |
| $\mathrm{Sp}_{10}(2)$ graph $\cong \mathrm{O}_{11}(2)$ graph | 1023 | 2 |
| Coset graph of truncated binary Golay code | 1024 | 3 |
| Distance-2 graph of coset graph of truncated binary Golay code | 1024 | 3 |
| Folded 11-cube | 1024 | 5 |
| $H(2,32)$ | 1024 | 2 |
| $\mathrm{H}_2(2,5)$ graph | 1024 | 2 |
| Halved 11-cube | 1024 | 5 |
| Halved folded 12-cube | 1024 | 3 |
| Rank-3 graph on 1024 vertices with valency 155 | 1024 | 2 |
| Shi-Krotov-Solé graph | 1024 | 3 |
| 10-cube $Q_{10} \cong H(10,2)$ | 1024 | 10 |
| $\mathrm{VO}_{10}^-(2)$ graph | 1024 | 2 |
| $\mathrm{VO}_{10}^+(2)$ graph | 1024 | 2 |
| $\overline{\mathrm{VO}_{10}^+(2)}$ graph | 1024 | 2 |
| $\mathrm{O}_8^-(3)$ graph | 1066 | 2 |
| $\mathrm{NO}_8^+(3)$ graph | 1080 | 2 |
| $H(2,33)$ | 1089 | 2 |
| $\mathrm{NO}_8^-(3)$ graph | 1107 | 2 |
| Dual polar graph $\mathrm{C}_3(3)$ | 1120 | 3 |
| $\mathrm{O}_8^+(3)$ graph | 1120 | 2 |
| Norton-Smith graph | 1134 | 4 |
| $J(20,3)$ | 1140 | 3 |
| $H(2,34)$ | 1156 | 2 |
| $\mathrm{NO}_5^-(7)$ graph | 1176 | 2 |
| Grassmann graph $\mathrm{J}_3(5,2)$ | 1210 | 2 |
| $H(2,35)$ | 1225 | 2 |
| $\mathrm{NO}_5^+(7)$ graph | 1225 | 2 |
| $J(13,5)$ | 1287 | 5 |
| Complement of the Dodecad graph | 1288 | 2 |
| Dodecad graph | 1288 | 2 |
| $H(2,36)$ | 1296 | 2 |
| $H(4,6)$ | 1296 | 4 |
| $J(21,3)$ | 1330 | 3 |
| $H(3,11)$ | 1331 | 3 |
| Meixner 2-cover of $U_6(2)$ | 1344 | 4 |
| $J(15,4)$ | 1365 | 4 |
| $H(2,37)$ | 1369 | 2 |
| Grassmann graph $J_2(6,3)$ | 1395 | 3 |
| Conway graph on 1408 vertices | 1408 | 2 |
| $H(2,38)$ | 1444 | 2 |
| $H(2,39)$ | 1521 | 2 |
| $J(22,3)$ | 1540 | 3 |
| $H(2,40)$ | 1600 | 2 |
| $\mathrm{SRG}(1600,351,94,72)$ from Tits group $\phantom{.}^2 F_4(2)'$ | 1600 | 2 |
| $H(2,41)$ | 1681 | 2 |
| Folded Johnson graph $J(14,7)$ | 1716 | 3 |
| $J(13,6)$ | 1716 | 6 |
| Merged Johnson graph $J(13,6)$ | 1716 | 2 |
| Odd graph $O_7$ | 1716 | 6 |
| $H(3,12)$ | 1728 | 3 |
| Ree-Tits Generalized Octagon, $GO(2,4)$ | 1755 | 4 |
| $H(2,42)$ | 1764 | 2 |
| $J(23,3)$ | 1771 | 3 |
| Suzuki graph | 1782 | 2 |
| $J(16,4)$ | 1820 | 4 |
| $H(2,43)$ | 1849 | 2 |
| $H(2,44)$ | 1936 | 2 |
| $J(14,5)$ | 2002 | 5 |
| $\mathrm{NO}_5^-(8)$ graph | 2016 | 2 |
| $\mathrm{NO}_7^-(4)$ graph | 2016 | 2 |
| $\mathrm{NO}_{12}^+(2)$ graph | 2016 | 2 |
| $J(24,3)$ | 2024 | 3 |
| $H(2,45)$ | 2025 | 2 |
| 11-cube $Q_{11} \cong H(11,2)$ | 2048 | 11 |
| Coset graph of binary Golay code | 2048 | 3 |
| Coset graph of the shortened binary Golay code | 2048 | 6 |
| Distance-2 graph of coset graph of binary Golay code | 2048 | 3 |
| Double coset graph of truncated binary Golay code | 2048 | 7 |
| Folded 12-cube | 2048 | 6 |
| Halved 12-cube | 2048 | 6 |
| $2^{11}.\mathrm{M}_{24}$ graphs on 2048 vertices | 2048 | 2 |
| $\mathrm{O}_{12}^+(2)$ graph | 2079 | 2 |
| $\mathrm{NO}_5^+(8)$ graph | 2080 | 2 |
| $\mathrm{NO}_7^+(4)$ graph | 2080 | 2 |
| $\mathrm{NO}_{12}^-(2)$ graph | 2080 | 2 |
| $\mathrm{NU}_3(7)$ graph | 2107 | 2 |
| $H(2,46)$ | 2116 | 2 |
| $H(7,3)$ | 2187 | 7 |
| $H(3,13)$ | 2197 | 3 |
| Paley graph $P_{2197}$ | 2197 | 2 |
| $H(2,47)$ | 2209 | 2 |
| Paley graph $P_{2209}$ | 2209 | 2 |
| Peisert graph on 2209 vertices | 2209 | 2 |
| Rank-3 graphs on 2209 vertices | 2209 | 2 |
| Dual polar graph $\mathrm{B}_4(2) \cong$ Dual polar graph $\mathrm{C}_4(2)$ | 2295 | 4 |
| Half dual polar graph $\mathrm{D}_{5,5}(2)$ | 2295 | 2 |
| Conway graph on 2300 vertices | 2300 | 2 |
| $J(25,3)$ | 2300 | 3 |
| $H(2,48)$ | 2304 | 2 |
| $J(17,4)$ | 2380 | 4 |
| $H(2,49)$ | 2401 | 2 |
| $H(4,7)$ | 2401 | 4 |
| Paley graph $P_{2401}$ | 2401 | 2 |
| Peisert graph on 2401 vertices | 2401 | 2 |
| Rank-3 graphs on 2401 vertices | 2401 | 2 |
| $\mathrm{VO}_4^-(7)$ graph | 2401 | 2 |
| $\mathrm{VO}_4^+(7)$ graph $\cong \mathrm{H}_7(2,2)$ graph | 2401 | 2 |
| Doubled Grassmann graph $\mathrm{DJ}_3(5,2)$ | 2420 | 5 |
| Point graph of $\mathrm{GQ}(9,27)$ | 2440 | 2 |
| $H(2,50)$ | 2500 | 2 |
| $J(26,3)$ | 2600 | 3 |
| Grassmann graph $\mathrm{J}_2(7,2)$ | 2667 | 2 |
| Meixner 4-cover of $U_6(2)$ | 2688 | 4 |
| $H(3,14)$ | 2744 | 3 |
| Dual polar graph $\phantom{.}^2 \mathrm{A}_3(7)$ | 2752 | 2 |
| $\mathrm{NU}_7(2)$ graph | 2752 | 2 |
| $J(27,3)$ | 2925 | 3 |
| $J(14,6)$ | 3003 | 6 |
| $J(15,5)$ | 3003 | 5 |
| $J(18,4)$ | 3060 | 4 |
| $\mathrm{NO}_5^-(9)$ graph | 3240 | 2 |
| $\mathrm{NO}_9^-(3)$ graph | 3240 | 2 |
| $\mathrm{NU}_4(4)$ graph | 3264 | 2 |
| $J(28,3)$ | 3276 | 3 |
| $\mathrm{O}_9(3)$ graph | 3280 | 2 |
| $\mathrm{Sp}_8(3)$ graph | 3280 | 2 |
| $\mathrm{NO}_5^+(9)$ graph | 3321 | 2 |
| $\mathrm{NO}_9^+(3)$ graph | 3321 | 2 |
| $H(3,15)$ | 3375 | 3 |
| Doubled Odd graph $D(O_7)$ | 3432 | 13 |
| $J(14,7)$ | 3432 | 7 |
| $\mathrm{Fi}_{22}$ graph | 3510 | 2 |
| $\mathrm{NU}_3(8)$ graph | 3648 | 2 |
| $J(29,3)$ | 3654 | 3 |
| $J(19,4)$ | 3876 | 4 |
| $\mathrm{O}_7(5)$ graph | 3906 | 2 |
| $\mathrm{Sp}_6(5)$ graph | 3906 | 2 |
| $J(30,3)$ | 4060 | 3 |
| Rudvalis graph | 4060 | 2 |
| 12-cube $Q_{12} \cong H(12,2)$ | 4096 | 12 |
| Soicher's 1st graph | 5346 | 4 |