commander, leading troops, governor
帥 centers on a person who leads and directs others, especially in a military or governing role: a commander, one who leads troops, or a governor.
帥 is composed of 巾 (cloth) on the right and a left side that likely derives from a phonetic element. The character originally referred to a leader or commander, possibly from the idea of a cloth banner used to direct troops.
The right side 巾 looks like a cloth banner or flag. Picture a commander holding a banner high to lead troops into battle.
For スイ, imagine a commander smoothly swinging a banner: swing -> スイ, and the smooth motion leads the troops forward.
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(field) marshal; (fleet) admiral; general of the army
commander-in-chief; leader; head of a group of companies
director of the Dazaifu
supreme command; high command
commander-in-chief; generalissimo
General Douglas MacArthur
Supreme Military Council (1898-1945)
Atavaka (guardian deity)
director of the dazaifu (ritsuryō system)
commander
Shisuikai (faction of the Liberal Democratic Party); Nikai faction
leader of a powerful tribe
chief of bandits
supreme command authority (of the emperor)