query: Dihedral groups are solvable
positive_passages.docid: 29003
positive_passages.text: Is the dihedral group $D_n$ nilpotent? solvable?
negative_passages.docid: 134362
negative_passages.text: Rotation of group of rigid motions of cube is isomorphic to $S_{4}$
negative_passages.docid: 90511
negative_passages.text: Commutator subgroup of a dihedral group.
negative_passages.docid: 84738
negative_passages.text: Center of Odd Dihedral Group
negative_passages.docid: 63499
negative_passages.text: Groups of prime squared order
negative_passages.docid: 11393
negative_passages.text: The center of the dihedral group
negative_passages.docid: 114221
negative_passages.text: A Group $G$ is soluble $\iff G^{(k)}=\{e\}$ for some $k$
negative_passages.docid: 34067
negative_passages.text: Is there a general formula for finding all subgroups of dihedral groups?
negative_passages.docid: 117744
negative_passages.text: $p$-Sylow in quotient groups
negative_passages.docid: 23941
negative_passages.text: Normal Subgroups that Intersect Trivially
negative_passages.docid: 152603
negative_passages.text: Group isomorphic to its automorphism group
negative_passages.docid: 73113
negative_passages.text: Groups and Symmetries
negative_passages.docid: 85728
negative_passages.text: How to write dihedral group in cycle notation?
negative_passages.docid: 44165
negative_passages.text: the image of normal subgroups
negative_passages.docid: 123699
negative_passages.text: Schur multiplier as a subgroup in finite abelian groups.
negative_passages.docid: 139218
negative_passages.text: Is this group solvable?
negative_passages.docid: 99999
negative_passages.text: A question on identifying normal subgroups of $S_4$