Line bottom of lightly greased 11 3/4 x 7 1/2 inch dish with half of green chilies. Sprinkle half of grated cheese over chilies, top with rest of chilies, sprinkle with remaining cheese.
Combine eggs with milk and seasonings. Pour over chili cheese mixture. Bake at 350 degrees for 30 to 35 minutes. Let cool 5 minutes before cutting.