Communication management system, communication system, computer-readable recording medium, and maintenance system

A communication management system for managing first and second communication terminals that transmit and receive predetermined communication data, the communication management system comprising:

• a storage unit configured to store therein destination information representing a destination of the first communication terminal that establishes a first communication session with a relay device that relays the communication data, destination information representing a destination of a conversion system that performs mutual conversion between a communication scheme of communication data transmitted from the first communication terminal and a communication scheme of communication data transmitted from the second communication terminal and establishes a second communication session with the relay device, and destination information representing a destination of the second communication terminal that establishes a third communication session with the conversion system;
• a receiving unit configured to receive start request information to start communication between the first communication terminal and the second communication terminal from the first communication terminal;
• an extracting unit configured to extract destination information of each of the first and the second communication terminals and the conversion system stored in the storage unit, on the basis of the received start request information;
• and
• a transmitting unit configured to transmit the extracted destination information to the relay device.