For 10 points, name this regime in place from 1946 to 1958 in France.
The referendum establishing it was the first time in the country's history that women voted. Vincent Auriol and René Coty were its only presidents, but the weak, compromise cabinets that Félix Gouin's constitution encouraged changed rapidly, and it had twenty-two prime ministers in twelve years of existence. The system's failures became evident during the Algerian crisis, which allowed Charles de Gaulle to return to politics and rewrite the Constitution at will. For 10 points, name this regime in place from 1946 to 1958 in France.
The referendum establishing it was the first time in the country's history that women voted.
{Fourth} French {Republic}