1. A liquid crystal display device comprising: a first transparent substrate having thereon a plurality of first main electrodes and a plurality of first auxiliary electrodes each extending from one of said first main electrodes; a second transparent substrate positioned in spaced relationship to the first transparent substrate and having thereon a plurality of second main electrodes in facing relation to said first main electrodes and said first auxiliary electrodes, so that the second main electrodes have mutually confronting portions with the first main electrodes defining main pixels therebetween, and with the first auxiliary electrodes defining auxiliary pixels therebetween; a liquid crystal composition maintained between said first and second transparent substrates; and driving means for applying driving signals to the first and second main electrodes; whereby the application of driving signals to the first and second main electrodes and the presence of the liquid crystal composition between the first substrate and the second substrate in the regions of the main pixels and the auxiliary pixels allows an image display in the main pixel and auxiliary pixel regions.