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  "body": "\n## Statement\n\nLet $G$ be a finite [[group|G5S1M9]] and let $H$ be a subgroup of $G$.\nThen the order of $H$ divides the order of $G$.\n\n## Remarks\n\nThe quotient $|G| / |H|$ is the number of left cosets of $H$ in $G$.\n",
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        "locator": "Section 3.2, Theorem 8"
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  "markdown": "https://math2.tamnd.com/node/3C53TD.md",
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  "name": "Lagrange's theorem",
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