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  "body": "\n## Example\n\nThe [[symmetric group|0515A6D2Y1]] $S_3$ has order $6$.\nIts [[subgroups|0X1JXT47GA]] are $\\{e\\}$, the three subgroups $\\{e, (1\\,2)\\}$, $\\{e, (1\\,3)\\}$ and $\\{e, (2\\,3)\\}$, the subgroup $A_3$ of order $3$, and $S_3$.\nTheir orders are $1$, $2$, $3$ and $6$. Each of these numbers divides $6$, as [[Lagrange's theorem|3C53TD]] states.\n\n## Remarks\n\nNo subgroup has order $4$ or $5$, because these numbers do not divide $6$.\n",
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    "name": "Lagrange's theorem in S3",
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        "url": "https://en.wikipedia.org/wiki/Dihedral_group_of_order_6"
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  "msc": [
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  "name": "Lagrange's theorem in S3",
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