The Icosahedral group has the Lie algebra E8 with a graph of 240 vertices and one real and 2 complex forms as well as a non-compact Split Form EVIII that is infinite-dimensional and shown to have 42 vertices that account for the squarks, sleptons and sneutrinos of Dark Matter.
International Frontier Science Letters (Volume 4)
J.A. de Wet "Icosahedral Supersymmetry and Dark Matter", International Frontier Science Letters, Vol. 4, pp. 11-13, 2015