Is it permissible for a woman to pray with a man in the same room without a barrier, regardless of whether he is a mahram to her or not?

It is impermissible for a woman to be alone with a non-mahram man unless a mahram is present, due to the Prophet's (peace and blessings be upon him) saying: "No man should be alone with a woman unless a mahram is with her." This is also because seclusion is an easy means to fall into sin. As for a woman praying with men, it is permissible, as women used to pray with the Prophet (peace and blessings be upon him), and their place was behind the rows of men.