No. of vertices | Intersection Array | Parameters (n,k,λ,μ) | Graph |
5 | {2,1;1,1} | (5,2,0,1) | Paley graph P5 |
6 | {4,1;1,4} | (6,4,2,4) | Octahedron |
9 | {4,2;1,2} | (9,4,1,2) | Paley graph P9 |
10 | {3,2;1,1} | (10,3,0,1) | Petersen graph |
10 | {6,2;1,4} | (10,6,3,4) | J(5,2) |
13 | {6,3;1,3} | (13,6,2,3) | Paley graph P13 |
15 | {8,3;1,4} | (15,8,4,4) | J(6,2) |
15 | {6,4;1,3} | (15,6,1,3) | K(6,2)≅NO−4(3) graph ≅O5(2) graph ≅Sp4(2) graph |
16 | {5,4;1,2} | (16,5,0,2) | Clebsch graph |
16 | {6,3;1,2} | (16,6,2,2) | Shrikhande graph |
16 | {9,4;1,6} | (16,9,4,6) | Complement of Shrikhande graph |
16 | {6,3;1,2} | (16,6,2,2) | H(2,4) |
16 | {9,4;1,6} | (16,9,4,6) | VO+4(2) graph ≅ Bilinear forms graph H2(2,2)≅ Complement of H(2,4) |
16 | {10,3;1,6} | (16,10,6,6) | Complement of Clebsch graph |
17 | {8,4;1,4} | (17,8,3,4) | Paley graph P17 |
21 | {10,4;1,4} | (21,10,5,4) | J(7,2) |
21 | {10,6;1,6} | (21,10,3,6) | K(7,2) |
25 | {8,4;1,2} | (25,8,3,2) | H(2,5) |
25 | {12,6;1,6} | (25,12,5,6) | Paley graph P25 |
25 | {12,6;1,6} | (25,12,5,6) | Paulus graphs on 25 vertices |
26 | {10,6;1,4} | (26,10,3,4) | Paulus graphs on 26 vertices |
26 | {15,6;1,9} | (26,15,8,9) | Complements of Paulus graphs on 26 vertices |
27 | {10,8;1,5} | (27,10,1,5) | Complement of Schläfli graph |
27 | {16,5;1,8} | (27,16,10,8) | Schläfli graph |
28 | {12,5;1,4} | (28,12,6,4) | J(8,2) |
28 | {15,8;1,10} | (28,15,6,10) | K(8,2)≅NO+6(2) graph |
28 | {12,5;1,4} | (28,12,6,4) | Chang graphs |
28 | {15,8;1,10} | (28,15,6,10) | Complement of Chang graphs |
29 | {14,7;1,7} | (29,14,6,7) | Paley graph P29 |
29 | {14,7;1,7} | (29,14,6,7) | 40 (non-Paley) SRG(29,14,6,7)s |
35 | {16,9;1,8} | (35,16,6,8) | Folded Johnson graph J(8,4)≅ Merged Johnson graph J(7,3) |
35 | {18,8;1,9} | (35,18,9,9) | Grassmann graph J2(4,2)≅O+6(2) graph |
36 | {14,9;1,6} | (36,14,4,6) | G2(2) graph |
36 | {14,6;1,4} | (36,14,7,4) | J(9,2) |
36 | {21,10;1,15} | (36,21,10,15) | K(9,2) |
36 | {10,5;1,2} | (36,10,4,2) | H(2,6) |
36 | {15,8;1,6} | (36,15,6,6) | NO−6(2) graph ≅NO−⊥5(3) graph |
37 | {18,9;1,9} | (37,18,8,9) | Paley graph P37 |
40 | {12,9;1,4} | (40,12,2,4) | Point graphs of GQ(3,3)s |
41 | {20,10;1,10} | (41,20,9,10) | Paley graph P41 |
45 | {12,8;1,3} | (45,12,3,3) | Point graph of GQ(4,2) |
45 | {16,7;1,4} | (45,16,8,4) | J(10,2) |
45 | {28,12;1,21} | (45,28,15,21) | K(10,2) |
49 | {24,12;1,12} | (49,24,11,12) | Paley graph P49 |
49 | {24,12;1,12} | (49,24,11,12) | Peisert graph on 49 vertices |
49 | {12,6;1,2} | (49,12,5,2) | H(2,7) |
50 | {7,6;1,1} | (50,7,0,1) | Hoffman-Singleton graph |
53 | {26,13;1,13} | (53,26,12,13) | Paley graph P53 |
55 | {18,8;1,4} | (55,18,9,4) | J(11,2) |
55 | {36,14;1,28} | (55,36,21,28) | K(11,2) |
56 | {10,9;1,2} | (56,10,0,2) | Gewirtz graph |
61 | {30,15;1,15} | (61,30,14,15) | Paley graph P61 |
63 | {30,16;1,15} | (63,30,13,15) | Sp6(2) graph ≅O7(2) graph |
64 | {14,7;1,2} | (64,14,6,2) | H(2,8) |
64 | {21,12;1,6} | (64,21,8,6) | Bilinear forms graph H2(2,3)≅ Van Lint–Schrijver graph on 64 vertices |
64 | {28,15;1,12} | (64,28,12,12) | Halved folded 8-cube |
64 | {18,15;1,6} | (64,18,2,6) | Point graph of GQ(3,5) |
64 | {27,16;1,12} | (64,27,10,12) | VO−6(2) graph |
64 | {35,16;1,20} | (64,35,18,20) | VO+6(2) graph |
65 | {32,16;1,16} | (65,32,15,16) | Gritsenko graph |
66 | {20,9;1,4} | (66,20,10,4) | J(12,2) |
66 | {45,16;1,36} | (66,45,28,36) | K(12,2) |
73 | {36,18;1,18} | (73,36,17,18) | Paley graph P73 |
77 | {16,15;1,4} | (77,16,0,4) | M22 graph |
78 | {22,10;1,4} | (78,22,11,4) | J(13,2) |
78 | {55,18;1,45} | (78,55,36,45) | K(13,2) |
81 | {20,18;1,6} | (81,20,1,6) | Brouwer–Haemers graph ≅VO−4(3) graph |
81 | {16,8;1,2} | (81,16,7,2) | H(2,9) |
81 | {40,20;1,20} | (81,40,19,20) | Paley graph P81 |
81 | {40,20;1,20} | (81,40,19,20) | Peisert graph on 81 vertices |
81 | {30,20;1,12} | (81,30,9,12) | VNO−4(3) graph |
81 | {32,18;1,12} | (81,32,13,12) | VO+4(3) graph ≅ Bilinear forms graph H3(2,2) |
85 | {20,16;1,5} | (85,20,3,5) | Point graph of GQ(4,4) |
89 | {44,22;1,22} | (89,44,21,22) | Paley graph P89 |
91 | {24,11;1,4} | (91,24,12,4) | J(14,2) |
91 | {66,20;1,55} | (91,66,45,55) | K(14,2) |
97 | {48,24;1,24} | (97,48,23,24) | Paley graph P97 |
100 | {18,9;1,2} | (100,18,8,2) | H(2,10) |
100 | {22,21;1,6} | (100,22,0,6) | Higman-Sims graph |
100 | {36,21;1,12} | (100,36,14,12) | Hall-Janko graph |
101 | {50,25;1,25} | (101,50,24,25) | Paley graph P101 |
105 | {32,27;1,12} | (105,32,4,12) | Goethals-Seidel graph |
105 | {26,12;1,4} | (105,26,13,4) | J(15,2) |
105 | {78,22;1,66} | (105,78,55,66) | K(15,2) |
109 | {54,27;1,27} | (109,54,26,27) | Paley graph P109 |
112 | {30,27;1,10} | (112,30,2,10) | 1st subconstituent of McLaughlin graph |
113 | {56,28;1,28} | (113,56,27,28) | Paley graph P113 |
117 | {36,20;1,9} | (117,36,15,9) | NO+6(3) graph |
119 | {54,32;1,27} | (119,54,21,27) | O−8(2) graph |
120 | {28,13;1,4} | (120,28,14,4) | J(16,2) |
120 | {91,24;1,78} | (120,91,66,78) | K(16,2) |
120 | {42,33;1,18} | (120,42,8,18) | L3(4).22 graph |
120 | {56,27;1,24} | (120,56,28,24) | Merged Johnson graph J(10,3) |
120 | {51,32;1,24} | (120,51,18,24) | NO−5(4) graph |
120 | {63,32;1,36} | (120,63,30,36) | NO+8(2) graph |
120 | {56,27;1,24} | (120,56,28,24) | ¯NO+8(2) graph |
121 | {20,10;1,2} | (121,20,9,2) | H(2,11) |
121 | {60,30;1,30} | (121,60,29,30) | Paley graph P121 |
121 | {60,30;1,30} | (121,60,29,30) | Peisert graph on 121 vertices |
121 | {40,24;1,12} | (121,40,15,12) | Van Lint–Schrijver graph on 121 vertices |
125 | {62,31;1,31} | (125,62,30,31) | Paley graph P125 |
126 | {25,16;1,4} | (126,25,8,4) | Folded Johnson graph J(10,5)≅ Merged Johnson graph J(9,4) |
126 | {50,36;1,24} | (126,50,13,24) | Goethals graph |
126 | {45,32;1,18} | (126,45,12,18) | Zara graph on 126 vertices ≅NO−6(3) graph |
130 | {48,27;1,16} | (130,48,20,16) | Grassmann graph J3(4,2) |
135 | {64,35;1,32} | (135,64,28,32) | ¯O+8(2) graph |
135 | {70,32;1,35} | (135,70,37,35) | O+8(2) graph |
136 | {30,14;1,4} | (136,30,15,4) | J(17,2) |
136 | {105,26;1,91} | (136,105,78,91) | K(17,2) |
136 | {75,32;1,40} | (136,75,42,40) | NO+5(4) graph |
136 | {60,35;1,28} | (136,60,24,28) | ¯NO+5(4) graph |
136 | {63,32;1,28} | (136,63,30,28) | NO−8(2) graph |
137 | {68,34;1,34} | (137,68,33,34) | Paley graph P137 |
144 | {39,32;1,12} | (144,39,6,12) | Faradžev–Klin–Muzychuk graph from L3(3) |
144 | {66,35;1,30} | (144,66,30,30) | Halved Leonard graph |
144 | {22,11;1,2} | (144,22,10,2) | H(2,12) |
149 | {74,37;1,37} | (149,74,36,37) | Paley graph P149 |
153 | {32,15;1,4} | (153,32,16,4) | J(18,2) |
153 | {120,28;1,105} | (153,120,91,105) | K(18,2) |
155 | {42,24;1,9} | (155,42,17,9) | Grassmann graph J2(5,2) |
156 | {30,25;1,6} | (156,30,4,6) | Point graphs of GQ(5,5)s |
157 | {78,39;1,39} | (157,78,38,39) | Paley graph P157 |
162 | {56,45;1,24} | (162,56,10,24) | 2nd subconstituent of McLaughlin graph |
162 | {105,32;1,60} | (162,105,72,60) | Complement of the 2nd sub– constituent of McLaughlin graph |
165 | {36,32;1,9} | (165,36,3,9) | Point graph of GQ(4,8)≅U(5,2) graph |
169 | {24,12;1,2} | (169,24,11,2) | H(2,13) |
169 | {84,42;1,42} | (169,84,41,42) | Paley graph P169 |
169 | {72,40;1,30} | (169,72,31,30) | Rank-3 SRG(169,72,31,30) |
171 | {34,16;1,4} | (171,34,17,4) | J(19,2) |
171 | {136,30;1,120} | (171,136,105,120) | K(19,2) |
173 | {86,43;1,43} | (173,86,42,43) | Paley graph P173 |
175 | {72,51;1,36} | (175,72,20,36) | Distance-2 graph of line graph of Hoffman-Singleton graph |
176 | {40,27;1,8} | (176,40,12,8) | ¯NU5(2) graph |
176 | {135,32;1,108} | (176,135,102,108) | NU5(2) graph |
176 | {70,51;1,34} | (176,70,18,34) | SRG(176,70,18,34) |
176 | {105,36;1,54} | (176,105,68,54) | SRG(176,105,68,54) |
181 | {90,45;1,45} | (181,90,44,45) | Paley graph P181 |
190 | {36,17;1,4} | (190,36,18,4) | J(20,2) |
190 | {153,32;1,136} | (190,153,120,136) | K(20,2) |
196 | {26,13;1,2} | (196,26,12,2) | H(2,14) |
208 | {75,44;1,25} | (208,75,30,25) | NU3(4) graph |
210 | {38,18;1,4} | (210,38,19,4) | J(21,2) |
210 | {171,34;1,153} | (210,171,136,153) | K(21,2) |
216 | {40,35;1,8} | (216,40,4,8) | Rijeka graph |
225 | {28,14;1,2} | (225,28,13,2) | H(2,15) |
231 | {30,20;1,3} | (231,30,9,3) | Cameron graph |
231 | {40,19;1,4} | (231,40,20,4) | J(22,2) |
231 | {190,36;1,171} | (231,190,153,171) | K(22,2) |
243 | {22,20;1,2} | (243,22,1,2) | Berlekamp-van Lint-Seidel graph |
243 | {110,72;1,60} | (243,110,37,60) | Delsarte graph |
253 | {42,20;1,4} | (253,42,21,4) | J(23,2) |
253 | {210,38;1,190} | (253,210,171,190) | K(23,2) |
253 | {112,75;1,60} | (253,112,36,60) | M23 graph |
255 | {126,64;1,63} | (255,126,61,63) | Sp8(2) graph ≅O9(2) graph |
256 | {30,15;1,2} | (256,30,14,2) | H(2,16) |
256 | {45,28;1,6} | (256,45,16,6) | H2(4,2) graph |
256 | {45,28;1,6} | (256,45,16,6) | Halved folded 10-cube |
256 | {102,63;1,42} | (256,102,38,42) | 28.L2(17) graph |
256 | {85,60;1,30} | (256,85,24,30) | Van Lint–Schrijver graph on 256 vertices |
256 | {51,48;1,12} | (256,51,2,12) | VO−4(4) graph |
256 | {75,48;1,20} | (256,75,26,20) | VO+4(4) graph ≅H4(2,2) graph |
256 | {119,64;1,56} | (256,119,54,56) | VO−8(2) graph |
256 | {135,64;1,72} | (256,135,70,72) | VO+8(2) graph |
275 | {112,81;1,56} | (275,112,30,56) | McLaughlin graph |
276 | {44,21;1,4} | (276,44,22,4) | J(24,2) |
276 | {231,40;1,210} | (276,231,190,210) | K(24,2) |
280 | {36,27;1,4} | (280,36,8,4) | Cocliques in Hall–Janko graph (Graph with valency 36) |
280 | {135,64;1,60} | (280,135,70,60) | Cocliques in Hall–Janko graph (Graph with valency 135) |
280 | {117,72;1,52} | (280,117,44,52) | Mathon–Rosa graph |
280 | {36,27;1,4} | (280,36,8,4) | Point graph of GQ(9,3) |
289 | {32,16;1,2} | (289,32,15,2) | H(2,17) |
289 | {144,72;1,72} | (289,144,71,72) | Paley graph P289 |
289 | {96,60;1,30} | (289,96,35,30) | Van Lint–Schrijver graph on 289 vertices |
297 | {40,32;1,5} | (297,40,7,5) | Point graph of GQ(8,4)≅ Dual polar graph .2A4(2) |
300 | {46,22;1,4} | (300,46,23,4) | J(25,2) |
300 | {253,42;1,231} | (300,253,210,231) | K(25,2) |
300 | {104,75;1,40} | (300,104,28,40) | NO−5(5) graph |
300 | {65,54;1,15} | (300,65,10,15) | NO−⊥5(5) graph |
324 | {34,17;1,2} | (324,34,16,2) | H(2,18) |
325 | {48,23;1,4} | (325,48,24,4) | J(26,2) |
325 | {276,44;1,253} | (325,276,231,253) | K(26,2) |
325 | {144,75;1,60} | (325,144,68,60) | NO+5(5) graph |
325 | {60,44;1,10} | (325,60,15,10) | NO+⊥5(5) graph |
325 | {68,64;1,17} | (325,68,3,17) | Point graph of GQ(4,16)≅O−6(4) graph |
330 | {63,38;1,9} | (330,63,24,9) | Merged Johnson graph J(11,4) |
351 | {50,24;1,4} | (351,50,25,4) | J(27,2) |
351 | {300,46;1,276} | (351,300,253,276) | K(27,2) |
351 | {126,80;1,45} | (351,126,45,45) | NO−⊥7(3) graph |
357 | {100,64;1,25} | (357,100,35,25) | O+6(4) graph |
361 | {36,18;1,2} | (361,36,17,2) | H(2,19) |
361 | {180,90;1,90} | (361,180,89,90) | Paley graph P361 |
361 | {180,90;1,90} | (361,180,89,90) | Peisert graph on 361 vertices |
361 | {144,84;1,56} | (361,144,59,56) | Rank-3 SRG(361,144,59,56) |
364 | {120,81;1,40} | (364,120,38,40) | O7(3) graph |
364 | {120,81;1,40} | (364,120,38,40) | Sp6(3) graph |
378 | {52,25;1,4} | (378,52,26,4) | J(28,2) |
378 | {325,48;1,300} | (378,325,276,300) | K(28,2) |
378 | {117,80;1,36} | (378,117,36,36) | NO+⊥7(3) graph |
400 | {38,19;1,2} | (400,38,18,2) | H(2,20) |
400 | {56,49;1,8} | (400,56,6,8) | Point graphs of GQ(7,7)s |
406 | {54,26;1,4} | (406,54,27,4) | J(29,2) |
406 | {351,50;1,325} | (406,351,300,325) | K(29,2) |
416 | {100,63;1,20} | (416,100,36,20) | G2(4) graph |
435 | {56,27;1,4} | (435,56,28,4) | J(30,2) |
435 | {378,52;1,351} | (435,378,325,351) | K(30,2) |
441 | {40,20;1,2} | (441,40,19,2) | H(2,21) |
465 | {58,28;1,4} | (465,58,29,4) | J(31,2) |
465 | {406,54;1,378} | (465,406,351,378) | K(31,2) |
484 | {42,21;1,2} | (484,42,20,2) | H(2,22) |
495 | {238,128;1,119} | (495,238,109,119) | O−10(2) graph |
496 | {60,29;1,4} | (496,60,30,4) | J(32,2) |
496 | {435,56;1,406} | (496,435,378,406) | K(32,2) |
496 | {255,128;1,136} | (496,255,126,136) | NO+10(2) graph |
496 | {240,119;1,112} | (496,240,120,112) | ¯NO+10(2) graph |
525 | {144,95;1,36} | (525,144,48,36) | NU3(5) graph |
527 | {270,128;1,135} | (527,270,141,135) | O+10(2) graph |
528 | {62,30;1,4} | (528,62,31,4) | J(33,2) |
528 | {465,58;1,435} | (528,465,406,435) | K(33,2) |
528 | {255,128;1,120} | (528,255,126,120) | NO−10(2) graph |
529 | {44,22;1,2} | (529,44,21,2) | H(2,23) |
529 | {264,132;1,132} | (529,264,131,132) | Paley graph P529 |
529 | {264,132;1,132} | (529,264,131,132) | Peisert graph on 529 vertices |
529 | {264,132;1,132} | (529,264,131,132) | Sporadic Peisert graph on 529 vertices |
529 | {176,112;1,56} | (529,176,63,56) | Van Lint–Schrijver graph on 529 vertices |
540 | {224,135;1,96} | (540,224,88,96) | NU4(3) graph |
540 | {187,128;1,68} | (540,187,58,68) | Trsat graphs |
560 | {208,135;1,80} | (560,208,72,80) | Aut(Sz(8)) graph |
561 | {64,31;1,4} | (561,64,32,4) | J(34,2) |
561 | {496,60;1,465} | (561,496,435,465) | K(34,2) |
576 | {46,23;1,2} | (576,46,22,2) | H(2,24) |
585 | {72,64;1,9} | (585,72,7,9) | Point graph of GQ(8,8) |
595 | {66,32;1,4} | (595,66,33,4) | J(35,2) |
595 | {528,62;1,496} | (595,528,465,496) | K(35,2) |
625 | {144,100;1,30} | (625,144,43,30) | Rank-3 graph on 625 vertices with valency 144 |
625 | {240,144;1,90} | (625,240,95,90) | Rank-3 graph on 625 vertices with valency 240 |
625 | {48,24;1,2} | (625,48,23,2) | H(2,25) |
625 | {312,156;1,156} | (625,312,155,156) | Paley graph P625 |
625 | {208,144;1,72} | (625,208,63,72) | Van Lint–Schrijver graph on 625 vertices |
625 | {260,154;1,110} | (625,260,105,110) | VNO−4(5) graph |
625 | {104,100;1,20} | (625,104,3,20) | VO−4(5) graph |
625 | {144,100;1,30} | (625,144,43,30) | VO+4(5) graph ≅H5(2,2) graph |
630 | {68,33;1,4} | (630,68,34,4) | J(36,2) |
630 | {561,64;1,528} | (630,561,496,528) | K(36,2) |
651 | {90,56;1,9} | (651,90,33,9) | Grassmann graph J2(6,2) |
666 | {70,34;1,4} | (666,70,35,4) | J(37,2) |
666 | {595,66;1,561} | (666,595,528,561) | K(37,2) |
672 | {495,128;1,360} | (672,495,366,360) | NU6(2) graph |
672 | {176,135;1,48} | (672,176,40,48) | ¯NU6(2) graph |
676 | {50,25;1,2} | (676,50,24,2) | H(2,26) |
693 | {180,128;1,45} | (693,180,51,45) | U6(2) polar graph |
703 | {72,35;1,4} | (703,72,36,4) | J(38,2) |
703 | {630,68;1,595} | (703,630,561,595) | K(38,2) |
729 | {112,110;1,20} | (729,112,1,20) | Games graph |
729 | {52,26;1,2} | (729,52,25,2) | H(2,27) |
729 | {104,72;1,12} | (729,104,31,12) | H3(2,3) graph |
729 | {364,182;1,182} | (729,364,181,182) | Paley graph P729 |
729 | {364,182;1,182} | (729,364,181,182) | Peisert graph on 729 vertices |
729 | {224,162;1,72} | (729,224,61,72) | VO−6(3) graph |
729 | {260,162;1,90} | (729,260,97,90) | VO+6(3) graph |
741 | {74,36;1,4} | (741,74,37,4) | J(39,2) |
741 | {666,70;1,630} | (741,666,595,630) | K(39,2) |
756 | {130,125;1,26} | (756,130,4,26) | Point graph of GQ(5,25)≅O−6(5) graph |
780 | {76,37;1,4} | (780,76,38,4) | J(40,2) |
780 | {703,72;1,666} | (780,703,630,666) | K(40,2) |
784 | {54,27;1,2} | (784,54,26,2) | H(2,28) |
806 | {180,125;1,36} | (806,180,54,36) | O+6(5) graph |
820 | {78,38;1,4} | (820,78,39,4) | J(41,2) |
820 | {741,74;1,703} | (820,741,666,703) | K(41,2) |
820 | {90,81;1,10} | (820,90,8,10) | Point graphs of GQ(9,9)s |
841 | {56,28;1,2} | (841,56,27,2) | H(2,29) |
841 | {420,210;1,210} | (841,420,209,210) | Paley graph P841 |
841 | {168,120;1,30} | (841,168,47,30) | Rank-3 SRG(841,168,47,30) |
841 | {280,180;1,90} | (841,280,99,90) | Van Lint–Schrijver graph on 841 vertices |
861 | {80,39;1,4} | (861,80,40,4) | J(42,2) |
861 | {780,76;1,741} | (861,780,703,741) | K(42,2) |
900 | {58,29;1,2} | (900,58,28,2) | H(2,30) |
903 | {82,40;1,4} | (903,82,41,4) | J(43,2) |
903 | {820,78;1,780} | (903,820,741,780) | K(43,2) |
946 | {84,41;1,4} | (946,84,42,4) | J(44,2) |
946 | {861,80;1,820} | (946,861,780,820) | K(44,2) |
961 | {60,30;1,2} | (961,60,29,2) | H(2,31) |
961 | {480,240;1,240} | (961,480,239,240) | Paley graph P961 |
961 | {480,240;1,240} | (961,480,239,240) | Peisert graph on 961 vertices |
961 | {240,168;1,56} | (961,240,71,56) | Rank-3 SRG(961,240,71,56) |
961 | {360,220;1,132} | (961,360,139,132) | Rank-3 SRG(961,360,139,132) |
977 | {488,244;1,244} | (977,488,243,244) | Paley graph P977 |
990 | {86,42;1,4} | (990,86,43,4) | J(45,2) |
990 | {903,82;1,861} | (990,903,820,861) | K(45,2) |
997 | {498,249;1,249} | (997,498,248,249) | Paley graph P997 |
1009 | {504,252;1,252} | (1009,504,251,252) | Paley graph P1009 |
1013 | {506,253;1,253} | (1013,506,252,253) | Paley graph P1013 |
1021 | {510,255;1,255} | (1021,510,254,255) | Paley graph P1021 |
1023 | {510,256;1,255} | (1023,510,253,255) | Sp10(2) graph ≅O11(2) graph |
1024 | {62,31;1,2} | (1024,62,30,2) | H(2,32) |
1024 | {93,60;1,6} | (1024,93,32,6) | H2(2,5) graph |
1024 | {155,112;1,20} | (1024,155,42,20) | Rank-3 SRG(1024,155,42,20) |
1024 | {341,220;1,110} | (1024,341,120,110) | Van Lint–Schrijver graph on 1024 vertices |
1024 | {495,256;1,240} | (1024,495,238,240) | VO−10(2) graph |
1024 | {527,256;1,272} | (1024,527,270,272) | VO+10(2) graph |
1024 | {496,255;1,240} | (1024,496,240,240) | ¯VO+10(2) graph |
1066 | {336,243;1,112} | (1066,336,92,112) | O−8(3) graph |
1080 | {351,224;1,108} | (1080,351,126,108) | NO+8(3) graph |
1089 | {64,32;1,2} | (1089,64,31,2) | H(2,33) |
1107 | {378,260;1,135} | (1107,378,117,135) | NO−8(3) graph |
1120 | {390,243;1,130} | (1120,390,146,130) | O+8(3) graph |
1156 | {66,33;1,2} | (1156,66,32,2) | H(2,34) |
1176 | {300,245;1,84} | (1176,300,54,84) | NO−5(7) graph |
1210 | {156,108;1,16} | (1210,156,47,16) | Grassmann graph J3(5,2) |
1225 | {68,34;1,2} | (1225,68,33,2) | H(2,35) |
1225 | {384,245;1,112} | (1225,384,138,112) | NO+5(7) graph |
1288 | {495,288;1,180} | (1288,495,206,180) | Complement of the Dodecad graph |
1288 | {792,315;1,504} | (1288,792,476,504) | Dodecad graph |
1296 | {70,35;1,2} | (1296,70,34,2) | H(2,36) |
1369 | {72,36;1,2} | (1369,72,35,2) | H(2,37) |
1408 | {567,320;1,216} | (1408,567,246,216) | Conway graph on 1408 vertices |
1444 | {74,37;1,2} | (1444,74,36,2) | H(2,38) |
1521 | {76,38;1,2} | (1521,76,37,2) | H(2,39) |
1600 | {78,39;1,2} | (1600,78,38,2) | H(2,40) |
1600 | {351,256;1,72} | (1600,351,94,72) | SRG(1600,351,94,72) from Tits group .2F4(2)′ |
1681 | {80,40;1,2} | (1681,80,39,2) | H(2,41) |
1716 | {882,425;1,450} | (1716,882,456,450) | Merged Johnson graph J(13,6) |
1764 | {82,41;1,2} | (1764,82,40,2) | H(2,42) |
1782 | {416,315;1,96} | (1782,416,100,96) | Suzuki graph |
1849 | {84,42;1,2} | (1849,84,41,2) | H(2,43) |
1936 | {86,43;1,2} | (1936,86,42,2) | H(2,44) |
2016 | {455,384;1,112} | (2016,455,70,112) | NO−5(8) graph |
2016 | {975,512;1,480} | (2016,975,462,480) | NO−7(4) graph |
2016 | {1023,512;1,528} | (2016,1023,510,528) | NO+12(2) graph |
2025 | {88,44;1,2} | (2025,88,43,2) | H(2,45) |
2048 | {276,231;1,36} | (2048,276,44,36) | 211.M24 graph on 2048 vertices with valency 276 |
2048 | {759,448;1,264} | (2048,759,310,264) | 211.M24 graph on 2048 vertices with valency 759 |
2048 | {1288,495;1,840} | (2048,1288,759,840) | 211.M24 graph on 2048 vertices with valency 1288 |
2079 | {1054,512;1,527} | (2079,1054,541,527) | O+12(2) graph |
2080 | {567,384;1,144} | (2080,567,182,144) | NO+5(8) graph |
2080 | {1071,512;1,544} | (2080,1071,558,544) | NO+7(4) graph |
2080 | {1023,512;1,496} | (2080,1023,510,496) | NO−12(2) graph |
2107 | {384,287;1,64} | (2107,384,96,64) | NU3(7) graph |
2116 | {90,45;1,2} | (2116,90,44,2) | H(2,46) |
2197 | {1098,549;1,549} | (2197,1098,548,549) | Paley graph P2197 |
2209 | {92,46;1,2} | (2209,92,45,2) | H(2,47) |
2209 | {1104,552;1,552} | (2209,1104,551,552) | Paley graph P2209 |
2209 | {1104,552;1,552} | (2209,1104,551,552) | Peisert graph on 2209 vertices |
2209 | {1104,552;1,552} | (2209,1104,551,552) | Rank-3 SRG(2209,1104,551,552) |
2209 | {736,480;1,240} | (2209,736,255,240) | Van Lint–Schrijver graph on 2209 vertices |
2295 | {310,224;1,35} | (2295,310,85,35) | Half dual polar graph D5,5(2) |
2300 | {891,512;1,324} | (2300,891,378,324) | Conway graph on 2300 vertices |
2304 | {94,47;1,2} | (2304,94,46,2) | H(2,48) |
2401 | {96,48;1,2} | (2401,96,47,2) | H(2,49) |
2401 | {1200,600;1,600} | (2401,1200,599,600) | Paley graph P2401 |
2401 | {1200,600;1,600} | (2401,1200,599,600) | Peisert graph on 2401 vertices |
2401 | {240,180;1,20} | (2401,240,59,20) | Rank-3 SRG(2401,240,59,20) |
2401 | {480,360;1,90} | (2401,480,119,90) | Rank-3 SRG(2401,480,119,90) |
2401 | {720,490;1,210} | (2401,720,229,210) | Rank-3 SRG(2401,720,229,210) |
2401 | {960,570;1,380} | (2401,960,389,380) | Rank-3 SRG(2401,960,389,380) |
2401 | {480,360;1,90} | (2401,480,119,90) | Van Lint–Schrijver graph on 2401 vertices |
2401 | {300,294;1,42} | (2401,300,5,42) | VO−4(7) graph |
2401 | {384,294;1,56} | (2401,384,89,56) | VO+4(7) graph ≅H7(2,2) graph |
2440 | {252,243;1,28} | (2440,252,8,28) | Point graph of GQ(9,27) |
2500 | {98,49;1,2} | (2500,98,48,2) | H(2,50) |
2667 | {186,120;1,9} | (2667,186,65,9) | Grassmann graph J2(7,2) |
2752 | {350,343;1,50} | (2752,350,6,50) | Dual polar graph .2A3(7) |
2752 | {2079,512;1,1584} | (2752,2079,1566,1584) | NU7(2) graph |
3240 | {656,567;1,144} | (3240,656,88,144) | NO−5(9) graph |
3240 | {2132,729;1,1404} | (3240,2132,1402,1404) | NO−9(3) graph |
3264 | {975,704;1,300} | (3264,975,270,300) | NU4(4) graph |
3280 | {1092,729;1,364} | (3280,1092,362,364) | O9(3) graph |
3280 | {1092,729;1,364} | (3280,1092,362,364) | Sp8(3) graph |
3321 | {800,567;1,180} | (3321,800,232,180) | NO+5(9) graph |
3321 | {2240,729;1,1512} | (3321,2240,1510,1512) | NO+9(3) graph |
3510 | {693,512;1,126} | (3510,693,180,126) | Fi22 graph |
3648 | {567,440;1,81} | (3648,567,126,81) | NU3(8) graph |
3906 | {780,625;1,156} | (3906,780,154,156) | O7(5) graph |
3906 | {780,625;1,156} | (3906,780,154,156) | Sp6(5) graph |
4060 | {1755,1024;1,780} | (4060,1755,730,780) | Rudvalis graph |
Back to: Graphs by diameter
Last updated: 13 August 2024