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Groups and FieldsMediumThe Sylow Theorems

The Sylow Theorems · Medium problem

GL(2,Z3)GL(2,\mathbb Z_3), the invertible 2×22\times2 matrices over Z3\mathbb Z_3, has order (32−1)(32−3)(3^2-1)(3^2-3). What order does Sylow I guarantee for its Sylow 22-subgroup?