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Q:=PermutationGroup<22| (2, 8)(4, 10)(5, 7)(6, 12)(9, 22)(13, 20)(14, 18)(16, 21), (2, 6)(3, 17)(4, 20)(5, 14)(7, 8)(11, 15)(12, 18)(16, 22), (1, 12)(2, 13)(3, 5)(4, 8)(6, 19)(7, 17)(10, 18)(14, 20),(1, 13)(2, 12)(3, 20)(4, 17)(5, 14)(6, 18)(7, 8)(10, 19), (1, 14)(2, 3)(4, 6)(5, 13)(7, 10)(8, 19)(12, 20)(17, 18),(1, 18)(2, 19)(3, 8)(4, 5)(6, 13)(7, 20)(10, 12)(14, 17)>; V34:=GModule(Q,gens); print("Green correspondent V34 of the simple M22-module D34 over GF(2); Q is a Sylow 2-subgroup of M22");