1. An image communication system including a terminal device and a management device, comprising: an imaging section which captures an image of a subject in the terminal device; a recognizing section which recognizes the subject in the image captured by the imaging section as a distinguishing image for a base image; a generating section which generates an accessory image based on the distinguishing image; a first combining section which generates a first composite image by combining the accessory image with the base image; and a display section which displays the first composite image on the terminal device.