The government established by the constitution of 1795 was called the

 THE DIRECTORY

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The Constitution of 1795 came after the Reign of Terror in France.  It aimed to establish a more stable republic, regaining the original ideals of the French Revolution.  There would be a two-chamber legislature and, as the executive branch of government, a five-man Directory.

The Directory proved to be ineffective and weak, however.  A strong military leader, Napoleon Bonaparte, positioned himself to take over the reins of power in France's government by 1799.