We have performed a systematic investigation of the gain properties of the GEM foil made from copper-clad liquid crystal polymer insulator (LCP-GEM), which will be used for a satellite mission. We have measured the gain curve of LCP-GEM in pure DME at 190 Torr, and achieved a gain of 3 × 104 at an applied high voltage of 605 V between the LCP-GEM electrodes with a thickness of 100 μm. The charge sharing between the GEM electrodes and readout pad were measured as a function of drift (Ed) or induction (Ei) field. We found that the parallel plate multiplication occurred between the bottom electrode of LCP-GEM and the readout pad above Ei = 6 kV, and the amount of charge collected in each electrode was almost constant with Ed. We investigated the signal shape obtained in each electrode and found that the rise time of signals was explained as induced charge by moving ions and electrons.