The　design　of　interconnection　networks　is　a　fundamental　aspect　of　high-performance　computing　(HPC)　systems.　Among　the　available　topologies,　the　Galaxyfly　network　stands　out　as　a　low-diameter　and　flexible-radix　network　for　HPC　applications.　Given　the　paramount　importance　of　collective　communication　in　HPC　performance,　in　this　paper,　we　present　two　different　all-to-all　broadcast　algorithms　for　the　Galaxyfly　network,　which　adhere　to　the　supernode-first　rule　and　the　router-first　rule,　respectively.　Our　performance　evaluation　validates　their　effectiveness　and　shows　that　the　first　algorithm　has　a　higher　degree　of　utilization　of　network　channels,　and　that　the　second　algorithm　can　significantly　reduce　the　average　time　for　routers　to　collect　packets　from　the　supernode.