The difference with the Navy and other military organizations and a random group of five people is the presence of a strong command structure. As long as the command structure is sound the system works problems are minimal and everyone knows what the consequences of their actions are. However, in the case of a non-existent or flawed command structure, serious problems can develop. Another military example being the problems which occurred at the US Air Force Academy.
I also think its important to note that the situation would be guided as much by the woman's personality and actions as by the men's. A woman who was calm and impartial could keep the situation stable. A woman that decided to tease or play other members of the group against each other would create trouble that would probably end in blood shed.
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A gentleman should always be able to break his fast in the manner of a gentleman where so ever he may find himself.--Good Omens