List questions from semidirect-product

131

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How to prove that semidirect product of $Z_{13}$ and $Z_3$ is non Abelian for a non-trivial homomorphism

Published on 14 Apr 2026 - 0:06

642

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Is $S_4 \times C_2$ isomorphic to $(C_2 \times C_2 \times C_2) \rtimes S_3$

Published on 16 Apr 2026 - 2:48

103

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Semi direct product of Quaternion group with cyclic group of order p.

Published on 14 Apr 2026 - 21:18

50

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How to construct the homomorphism in semidirect product of $Z_3$ and $Z_{13}$?

Published on 13 Apr 2026 - 7:01

133

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Structure of semi direct product.

Published on 13 Apr 2026 - 7:03

241

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Groups of order 56 with Sylow 2-subgroup isomorphic $Q_8$

Published on 15 Apr 2026 - 21:27

54

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Question regarding possiblity for existence of a particular semidirect product

Published on 10 Apr 2026 - 9:38

83

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Proving $H_1 \rtimes_{\theta_2}K \simeq H_1 \rtimes_{\theta_1}K$

Published on 14 Apr 2026 - 22:02

255

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Non cyclic group of order $p^3$ satisfies $G \simeq H \rtimes_{\theta}K$

Published on 12 Apr 2026 - 2:23

816

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Understanding semidirect product by constructing a non-abelian group of order $21$

Published on 14 Apr 2026 - 16:35

1.7k

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What are the semi-direct products of $\mathbb{Z}$ with itself? (Check my work please)

Published on 09 Apr 2026 - 12:40

110

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Identification of groups given by a description

Published on 10 Apr 2026 - 23:58

388

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Is a finite centerless metabelian group always a semidirect product of two abelian groups?

Published on 06 May 2026 - 5:21

536

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When is $A\rtimes_{\phi_1} B \cong A\rtimes_{\phi_2} B$?

Published on 14 Apr 2026 - 15:44

213

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GAP semidirect product

Published on 13 Apr 2026 - 14:59

List Question

How to prove that semidirect product of $Z_{13}$ and $Z_3$ is non Abelian for a non-trivial homomorphism

Is $S_4 \times C_2$ isomorphic to $(C_2 \times C_2 \times C_2) \rtimes S_3$

Semi direct product of Quaternion group with cyclic group of order p.

How to construct the homomorphism in semidirect product of $Z_3$ and $Z_{13}$?

Structure of semi direct product.

Groups of order 56 with Sylow 2-subgroup isomorphic $Q_8$

Question regarding possiblity for existence of a particular semidirect product

Proving $H_1 \rtimes_{\theta_2}K \simeq H_1 \rtimes_{\theta_1}K$

Non cyclic group of order $p^3$ satisfies $G \simeq H \rtimes_{\theta}K$

Understanding semidirect product by constructing a non-abelian group of order $21$

What are the semi-direct products of $\mathbb{Z}$ with itself? (Check my work please)

Identification of groups given by a description

Is a finite centerless metabelian group always a semidirect product of two abelian groups?

When is $A\rtimes_{\phi_1} B \cong A\rtimes_{\phi_2} B$?

GAP semidirect product

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