| Folkman graph, Leonard graph, (4, 8)-cage, (4, 10)-cage, (5, 12)-cage, (6, 8)-cage, (8, 8)-cage, (10, 8)-cage, (12, 8)-cage, (14, 8)-cage, ... ✓ | Gray graph, Ljubljana graph, Tutte 12-cage, 110-Iofinova-Ivanov graph

| vertex count | edge count | connected component count Folkman graph | 20 | 40 | 1 20 edge-transitive graph 25 | 20 | 60 | 1 Gray graph | 54 | 81 | 1 (16, 4)-Hadamard graph | 64 | 512 | 1 (4, 8)-cage | 80 | 160 | 1 110-Iofinova-Ivanov graph | 110 | 165 | 1 Ljubljana graph | 112 | 168 | 1 Tutte 12-cage | 126 | 189 | 1 Leonard graph | 288 | 1728 | 1 (6, 8)-cage | 312 | 936 | 1