List questions from dihedral-groups

Published on 25 Mar 2026 - 3:07

531

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Groups of order $2p$

Published on 25 Mar 2026 - 4:36

436

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How many distinct composition series does the group $D_{12}$ have?

Published on 25 Mar 2026 - 7:42

303

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Composition series for dihedral grup of order $2pq^2$

Published on 14 Aug 2018 - 20:45

872

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Non cyclic group of order $8$ having exactly one element of order $2$

Published on 15 Aug 2018 - 18:32

274

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Find all transitive $G$-sets up to isomorphism, where $G\in \{S_4,D_{10},\mathbb{Z}_{10},S_3\times \mathbb{Z}_4\}$.

Published on 20 Aug 2018 - 17:58

450

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Find all characteristic subgroups of the Dihedral group $D_{12}$.

Published on 19 Mar 2026 - 15:26

59

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Prove that $D_{2n} = \langle s, rs \rangle$

Published on 06 Sep 2018 - 19:48

41

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Group G with elements of specific order

Published on 13 Sep 2018 - 16:45

335

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Orbit of conjugation on subgroups of $D_8$

Published on 14 Sep 2018 - 4:21

47

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Minimal amount of information required to define a Dihedral group?

Published on 16 Sep 2018 - 0:08

119

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Is there a way to describe all finite groups $G$, such that $\operatorname{Aut}(G) = D_4$?

Published on 25 Mar 2026 - 13:57

129

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conceptual question with example: proving groups are isomorphic

Published on 01 Oct 2018 - 18:54

1.6k

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In dihedral group $FR=R^{-1}F$

Published on 08 Oct 2018 - 15:00

1.2k

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Deduce that the symmetry group of the dodecahedron is a subgroup of $S_5$ of order 60.

Published on 15 Oct 2018 - 3:52

List Question

Color Vertices of a Regular Pentagon with Two Colors

Groups of order $2p$

How many distinct composition series does the group $D_{12}$ have?

Composition series for dihedral grup of order $2pq^2$

Non cyclic group of order $8$ having exactly one element of order $2$

Find all transitive $G$-sets up to isomorphism, where $G\in \{S_4,D_{10},\mathbb{Z}_{10},S_3\times \mathbb{Z}_4\}$.

Find all characteristic subgroups of the Dihedral group $D_{12}$.

Prove that $D_{2n} = \langle s, rs \rangle$

Group G with elements of specific order

Orbit of conjugation on subgroups of $D_8$

Minimal amount of information required to define a Dihedral group?

Is there a way to describe all finite groups $G$, such that $\operatorname{Aut}(G) = D_4$?

conceptual question with example: proving groups are isomorphic

In dihedral group $FR=R^{-1}F$

Deduce that the symmetry group of the dodecahedron is a subgroup of $S_5$ of order 60.

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