• 派出はしゅつ — deployment
• 派生はせい — derivation; offshoot
• 派手はで — flashy; showy
• 流派りゅうは — school (of art or thought)
• 分派ぶんぱ — sect; branch
• 派遣はけん — dispatch; send out

派 combines the water radical 氵 with a component suggesting branching flow. From the idea of water splitting into streams, the meaning broadened to “faction” or “school,” and by extension “to dispatch.”