A supercharacter theory for Sylow $p$-subgroups of the Steinberg   triality groups
  We determine a supercharacter theory for the matrix Sylow $p$-subgroup ${^3}D_4^{syl}(q^3)$ of the Steinberg triality group ${^3}D_4(q^3)$, and establish the supercharacter table of ${^3}D_4^{syl}(q^3)$. 
Yujiao Sun
math.RT