For a finite group, quotient order is subgroup index: $\abs{G/H}=\abs G/\abs H$.Suggest a slogan
Let \(G\) be a finite group and \(H\normal G\) a normal subgroup. Then \[ [G: H] = \abs{G/H} = \frac{\abs G}{\abs H}. \]
T-WR7CD
Let \(G\) be a finite group and \(H\normal G\) a normal subgroup. Then \[ [G: H] = \abs{G/H} = \frac{\abs G}{\abs H}. \]