query: Number of Sylow subgroups (another)
positive_passages.docid: 28181
positive_passages.text: Sylow subgroups of $S_3$ and $S_4$
negative_passages.docid: 67272
negative_passages.text: Deduce that if $G$ is a finite $p$-group, the number of subgroups of $G$ that are not normal is divisible by $p$
negative_passages.docid: 88262
negative_passages.text: How to enumerate subgroups of each order of $S_4$ by hand
negative_passages.docid: 55178
negative_passages.text: When there is a unique Sylow p-subgroup it is normal, does this mean that non-unique p-subgroups are not normal?
negative_passages.docid: 88759
negative_passages.text: Proofs of Sylow theorems
negative_passages.docid: 11957
negative_passages.text: G is the product of its Sylow subgroups
negative_passages.docid: 42096
negative_passages.text: Direct product of Sylow subgroups
negative_passages.docid: 99999
negative_passages.text: A question on identifying normal subgroups of $S_4$
negative_passages.docid: 64269
negative_passages.text: Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
negative_passages.docid: 76732
negative_passages.text: Number of non-isomorphic groups of order 21
negative_passages.docid: 57221
negative_passages.text: counting the number of elements in a conjugacy class of $S_n$
negative_passages.docid: 156154
negative_passages.text: Sylow 2 subgroups of S4
negative_passages.docid: 88344
negative_passages.text: Order of a group and subsequent subgroups
negative_passages.docid: 76943
negative_passages.text: Existence of subgroup of order six in $A_4$
negative_passages.docid: 141984
negative_passages.text: Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
negative_passages.docid: 41231
negative_passages.text: Subgroups of (Z,+) of order n
negative_passages.docid: 107010
negative_passages.text: How many elements of order $k$ are in $S_n$?