1. An image communication system including a terminal device and a management device, comprising: a storing section which prestores a base image; 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 the 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; a second combining section which generates a second composite image by combining the first composite image with the distinguishing image such that the first composite image is positioned near the distinguishing image when the distinguishing image for the subject is captured by the image section; and a display section which displays the second composite image on the terminal device.