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B Any Sylow 3-subgroup of S4 has size 3 and is therefore generated by an element of order 3. Hence, the Sylow 3-subgroups are specified by elements of order 3 that generate the same subgroup. Thus, the Sylow 3-subgroups of S4are generated by H1 = (123) H2 =(124) H3 = (134) H4 = (234)