Suzuki Tower
The sequence of graphs starting with the Suzuki graph and successively taking local graphs, summarized in the following table, is known as the Suzuki tower, a name due to Jacques Tits (Leemans 2005).
n |Aut(G)| G
1782 896690995200 Suzuki graph
416 503193600 G_2(4) graph
100 1209600 Hall-Janko
graph
36 12096 U_3(3)
graph
14 336 quartic vertex-transitive
graph Qt31 (co-Heawood graph)
See also
Hall-Janko Graph, Local Graph, Suzuki GraphExplore with Wolfram|Alpha
WolframAlpha
References
Brouwer, A. "G2(4) Graph." https://aeb.win.tue.nl/graphs/G24.html.Brouwer, A. "U3(3) Graph." https://aeb.win.tue.nl/graphs/U3_3.html.Leemans, D. "A Family of Geometries Related to the Suzuki Tower." Comm. Algebra 33, 2201-2217, 2005.Referenced on Wolfram|Alpha
Suzuki TowerCite this as:
Weisstein, Eric W. "Suzuki Tower." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SuzukiTower.html