List questions from dihedral-groups

52

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Two centerless subgroups $H, K$ of $S_3\boxtimes C_2$, each of order six, such that $HK$ is not centerless.

Published on 28 Mar 2026 - 3:03

586

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Show that the subgroup of $S_4=\langle (12),(13)(24)\rangle$ is isomorphic to dihedral group of order $8$

Published on 23 Oct 2020 - 21:47

157

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$|\langle a,b \mid a^2=b^2=(ab)^n=1\rangle|\leq 2n$

Published on 27 Mar 2026 - 7:13

157

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Find the cosets of $D_{2n}$ in $S_n$

Published on 28 Mar 2026 - 3:27

116

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Number of group homomorphism from the group $D_8$ to $\Bbb Q^{\times} $

Published on 25 Oct 2020 - 18:12

255

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How to prove that a dihedral group is commutative?

Published on 25 Oct 2020 - 23:17

163

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Abstract characterization of dihedral group

Published on 27 Oct 2020 - 8:53

815

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Let $G$ be the group of rigid motions in $R_3$ of a tetrahedron. Show that $|G |= 12$.

Published on 31 Oct 2020 - 11:23

109

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In the Dihedral Group $D_4$, verify that $N = \{e, r^2\}$ is a normal subgroup

Published on 01 Nov 2020 - 4:19

716

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Is $D_8$ a normal subgroup of $S_4$?

Published on 05 Nov 2020 - 10:27

29

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Doubts in proving homomorphism of $S_4/V$

Published on 05 Nov 2020 - 14:07

315

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Dihedral Group generated by reflection

Published on 27 Mar 2026 - 8:49

123

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Number of homomorphisms from $D_6$ to $A_4$

Published on 09 Nov 2020 - 20:33

56

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Question on Group Isomorphism Dihedral group

Published on 10 Nov 2020 - 11:16

133

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A Group Isomorphic to $D_8$

Published on 11 Nov 2020 - 6:59

List Question

Two centerless subgroups $H, K$ of $S_3\boxtimes C_2$, each of order six, such that $HK$ is not centerless.

Show that the subgroup of $S_4=\langle (12),(13)(24)\rangle$ is isomorphic to dihedral group of order $8$

$|\langle a,b \mid a^2=b^2=(ab)^n=1\rangle|\leq 2n$

Find the cosets of $D_{2n}$ in $S_n$

Number of group homomorphism from the group $D_8$ to $\Bbb Q^{\times} $

How to prove that a dihedral group is commutative?

Abstract characterization of dihedral group

Let $G$ be the group of rigid motions in $R_3$ of a tetrahedron. Show that $|G |= 12$.

In the Dihedral Group $D_4$, verify that $N = \{e, r^2\}$ is a normal subgroup

Is $D_8$ a normal subgroup of $S_4$?

Doubts in proving homomorphism of $S_4/V$

Dihedral Group generated by reflection

Number of homomorphisms from $D_6$ to $A_4$

Question on Group Isomorphism Dihedral group

A Group Isomorphic to $D_8$

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