For a finite group G, subgroup P of G is 2-minimal if B<P, where B=NG(S) for some Sylow 2-subgroup S and B contained in unique maximal P. Here we give detailed explicit description all the subgroups symplectic groups defined over field odd characteristic.

Abstract Using Cohen’s classification of symplectic reflection groups, we prove that the parabolic subgroups, is, stabilizer a finite group, are themselves groups. This is analog Steinberg’s Theorem for complex computational results required in proof, show nonexistence resolutions quotient singularities corresponding to three exceptional thus reducing further number cases which existence questi...