逃 is the core character for 'escape/flee.' It appears in many compounds: 逃走 (flee), 逃跑 (run away), 逃避 (evade), 逃生 (escape for one's life), 逃课 (skip class).
memory
The 辶 (walk/movement radical) + 兆 (omen) — when you sense a bad omen, you move away quickly.