A method for establishing a wireless connection between a first wireless device provided in a computer and a second wireless device, wherein group information that identifies the first wireless device is created and set for the first wireless device. The group information is transmitted to the second wireless device and is set for it. The first wireless device creates identification information that identifies the second wireless device with the group information to set it for the second wireless device. The first wireless device uses both of the group information and identification information to specify the second wireless device.