Here is a possible diagram for this game. This diagram was made in conjunction with our October LSAT Review Workshop, and Manhattan LSAT students can also watch a recording of that workshop.
Keep in mind that, as always, the diagram is not meant to represent a "definitive" way to set up a game, but rather just one very effective approach. Different Manhattan LSAT instructors will set up different games in different ways, and deciding which inferences to keep in your head and which ones to note down (for example, note that the common element in the Y1 and S2 spots can only be F or G, and we could have notated that if we chose to) is always a subjective process -- as long as your diagram helps you keep straight a clear understanding of the game, and helps you take command of the rules, you'll be in great shape.
If you have alternative suggestions for how to diagram this game, we'd love to hear them. Enjoy!