1. An image reading system comprising: an image reading device configured to scan image; and a plurality of information terminals connected to the image reading device by a communication network, each of the plurality of information terminals including a first storage unit, a setting unit configured to set a job to be executed by the image reading device, the setting unit being further configured to correlate the job to a group ID and store them in the first storage unit, and a response unit configured to respond to a job inquiry and send the job to the image reading device, and the image reading device including a second storage unit configured to store a group ID of the image reading device, an inquiry unit configured to send the job inquiry with the group ID of the image reading device that is stored in the second storage unit to the plurality of information terminals, respectively, a display unit configured to display the jobs that have been received from the plurality of information terminals so as to be selectable in response to the job inquiry to the plurality of information terminals, respectively, the display unit being further configured to display the jobs when the group ID that is stored in the first storage unit and is correlated to the jobs matches with the group ID of the image reading device that is stored in the second storage unit and is contained in the job inquiry, a selection unit configured to select one of the jobs that have been displayed, and an execution unit configured to scan image based on the selected one of the jobs.