query: Simple subgroup of $S_{n+1}$ of index k
positive_passages.docid: 151193
positive_passages.text: Simple subgroup of Symmetric Group
negative_passages.docid: 75068
negative_passages.text: subgroups of $\mathbb Z / 2 \mathbb Z \times \mathbb Z / 2 \mathbb Z$
negative_passages.docid: 14895
negative_passages.text: Reference for the subgroup structure of $\rm{PSL}_2(q)$
negative_passages.docid: 64582
negative_passages.text: Group covered by finitely many cosets
negative_passages.docid: 66877
negative_passages.text: Showing groups of order $p^{k}(p+1)$ are not simple, p prime
negative_passages.docid: 115204
negative_passages.text: Show that SO(n) is a normal subgroup of O(n)
negative_passages.docid: 120968
negative_passages.text: Isomorphism of stabilizer over $S_n$ to $S_{n-1}$
negative_passages.docid: 72150
negative_passages.text: Union of the conjugates of a proper subgroup
negative_passages.docid: 88262
negative_passages.text: How to enumerate subgroups of each order of $S_4$ by hand
negative_passages.docid: 152904
negative_passages.text: Groups with Same Number Of Elements and Subgroups
negative_passages.docid: 78553
negative_passages.text: A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$
negative_passages.docid: 83061
negative_passages.text: Generating the symmetric group $S_n$
negative_passages.docid: 11731
negative_passages.text: Normal subgroups of $S_4$
negative_passages.docid: 155502
negative_passages.text: Index of a maximal subgroup in a finite group
negative_passages.docid: 58863
negative_passages.text: Proof that $A_n$ the only subgroup of $ S_n$ index $2$.
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: 131516
negative_passages.text: Subgroup generated by n-th powers of elements