Abstract

We determine a supercharacter theory for Sylow p -subgroups G 2 s y l 2 ( 3 2 m + 1 ) of the Ree groups G 2 2 ( 3 2 m + 1 ) , calculate the conjugacy classes of G 2 s y l 2 ( 3 2 m + 1 ) , and establish the character table of G 2 s y l 2 ( 3 ) .

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