Nonsolvable Group Graphs
- 120-Cell Graph
- 600-Cell Graph
- Berlekamp-van Lint-Seidel Graph
- Biggs-Smith Graph
- Brouwer-Haemers Graph
- Cameron Graph
- Clebsch Graph
- Conway-Smith Graph
- Coxeter Graph
- Crossed Dodecahedral Graph
- Danzer Graph
- Dejter Graph
- Delsarte Graph
- Deltoidal Hexecontahedral Graph
- Desargues Graph
- Disdyakis Triacontahedral Graph
- Ditrigonal Icosidodecahedral Graph
- Dodecadodecahedral Graph
- Dodecahedral Graph
- Dodecicosahedral Graph
- Doro Graph
- Doubly Truncated Witt Graph
- Folkman Graph
- Fricke-Macbeath Graph
- Games Graph
- Gewirtz Graph
- Gosset Graph
- Great Dirhombicosidodecahedral Graph
- Great Rhombicosidodecahedral Graph
- Great Snub Dodecicosidodecahedral Graph
- Grünbaum-Rigby Graph
- Hall Graph
- Hall-Janko Graph
- Hall-Janko Near Octagon
- Harries Graph
- Heawood Graph
- Hexacode Graph
- Higman-Sims Graph
- Hoffman-Singleton Graph
- Icosahedral Graph
- Icosidodecahedral Graph
- Icositruncated Dodecadodecahedral Graph
- Ivanov-Ivanov-Faradjev Graph
- Klein Graphs
- Koolen-Riebeek Graph
- Kummer Graph
- Large Witt Graph
- Leonard Graph
- Livingstone Graph
- Local McLaughlin Graph
- Locally Petersen Graph
- M_22 Graph
- Mathon Graph
- McLaughlin Graph
- Moscow-Soicher Graph
- Norton-Smith Graph
- Paulus-Rozenfeld-Thompson Graph
- Pentagonal Hexecontahedral Graph
- Pentakis Dodecahedral Graph
- Pentakis Icosidodecahedral Graph
- Pentatope Graph
- Perkel Graph
- Petersen Graph
- Petersen Line Graph
- Rhombic Triacontahedral Graph
- Rhombicosahedral Graph
- Rijeka Graph
- Schläfli Double Six Graph
- Schläfli Graph
- Small Rhombicosidodecahedral Graph
- Small Snub Icosicosidodecahedral Graph
- Snub Dodecadodecahedral Graph
- Snub Dodecahedral Graph
- Snub Icosidodecadodecahedral Graph
- Soicher Graphs
- Suzuki Graph
- Suzuki Tower
- Sylvester Graph
- Tetrahedral Johnson Graph
- Triakis Icosahedral Graph
- Trsat Graphs
- Truncated Dodecadodecahedral Graph
- Truncated Dodecahedral Graph
- Truncated Great Dodecahedral Graph
- Truncated Icosahedral Graph
- Truncated Pentakis Dodecahedral Graph
- Truncated Witt Graph
- Tutte 8-Cage
- Tutte 12-Cage
- van Lint-Schrijver Graph
- Voronov-Neopryatnaya-Dergachev Graphs
- Wells Graph
- Wong Graph
- Zara Graph