This paper defines group intention, a shared goal expressed through the actions of multiple individuals in a group environment, and presents Group Intention Forecasting (GIF), a novel task that predicts the timing of group intention occurrence. To achieve this, we propose SHOT, a large-scale dataset consisting of 1,979 basketball video clips captured from five camera perspectives. SHOT features multi-person information, multi-view adaptability, and multi-level intention, and is designed to be well-suited for GIF research. Furthermore, we introduce GIFT, a framework that extracts fine-grained individual features and models evolving group dynamics to predict intention occurrence. Experimental results demonstrate the effectiveness of SHOT and GIFT, laying the foundation for further advancements in the field of group intention prediction.