Statistical dialog management techniques have the main advantage of allowing an easy adaptation of the dialog model to different application domains. In this paper we propose to also adapt the operation of the dialog manager to the different subtasks that conform the structure of the dialog in each domain. To do so, we present a variation of a statistical dialog management technique to address this challenge. The evaluation results with a practical dialog system show that the use of such specific subtask models increase the quality and number of successful interactions with the system.