The phrase "hath hand" is an archaic term that is rarely used in modern English. It is a synonym for "has control" or "possesses power." Some synonyms for this phrase include "holds sway," "commands," "governs," "wields influence," and "exerts authority." Each of these phrases suggests that someone has the ability to direct or manipulate a situation or group of people. While the term "hath hand" may not be commonly used today, its synonyms are still useful in describing how individuals or groups are able to exert their power in various contexts.