The GeneralizedHexagonGraph() command returns the generalized hexagon graph.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$\mathrm{with}\left(\mathrm{SpecialGraphs}\right)\:$

$G≔\mathrm{GeneralizedHexagonGraph}\left(\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; unweighted\; graph\; with\; 126\; vertices\; and\; 189\; edge(s)}$

$\mathrm{IsPlanar}\left(G\right)$

$\mathrm{false}$

$\mathrm{DrawGraph}\left(G\,\mathrm{style}=\mathrm{spring}\right)$