query: Dihedral group $D_4$ (symmetries of a square) is isomorphic to a subgroup of $S_4$ (permutation group)
positive_passages.docid: 27507
positive_passages.text: Subgroups of Symmetric groups isomorphic to dihedral group
negative_passages.docid: 11393
negative_passages.text: The center of the dihedral group
negative_passages.docid: 96680
negative_passages.text: Generators of symmetric group $S_n$
negative_passages.docid: 41695
negative_passages.text: Conjugate class in the dihedral group
negative_passages.docid: 146969
negative_passages.text: Proving that every group of order $4$ is isomorphic to $\Bbb Z_4$ or $\Bbb Z^*_8$
negative_passages.docid: 125980
negative_passages.text: Isomorphic Lie Algebra $so(4)$ and $su(2) \times su(2)$
negative_passages.docid: 38153
negative_passages.text: Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
negative_passages.docid: 52556
negative_passages.text: Isomorphism of $S^1$.
negative_passages.docid: 151862
negative_passages.text: Is any subgroup of a direct product isomorphic to a direct product of subgroups?
negative_passages.docid: 72048
negative_passages.text: Finding Sylow 2-subgroups of the dihedral group $D_n$
negative_passages.docid: 41688
negative_passages.text: An elementary problem in Group Theory: the unique noncyclic group of order 4
negative_passages.docid: 87766
negative_passages.text: Using Cayley's Theorem to find an isomorphic subgroup.
negative_passages.docid: 121034
negative_passages.text: Follow-up to question: Aut(G) for G = Klein 4-group is isomorphic to $S_3$
negative_passages.docid: 120155
negative_passages.text: How to show that this group presentation is isomorphic to dihedral group?
negative_passages.docid: 62277
negative_passages.text: Cayley tables for two non-isomorphic groups of order 4.
negative_passages.docid: 146028
negative_passages.text: $GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
negative_passages.docid: 129157
negative_passages.text: An exercise on isomorphic groups of order 24