Extensions 1→N→G→Q→1 with N=Q₈xC₁₃ and Q=C₄

Direct product G=NxQ with N=Q₈xC₁₃ and Q=C₄

		d	ρ	Label	ID
Q₈xC₅₂		416		Q8xC52	416,180

Semidirect products G=N:Q with N=Q₈xC₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₃):₁C₄ = D₁₃.Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈xC₁₃	104	8-	(Q8xC13):1C4	416,84
(Q₈xC₁₃):₂C₄ = D₅₂:C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈xC₁₃	104	8+	(Q8xC13):2C4	416,85
(Q₈xC₁₃):₃C₄ = Q₈xC₁₃:C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈xC₁₃	104	8-	(Q8xC13):3C4	416,208
(Q₈xC₁₃):₄C₄ = Q₈:Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈xC₁₃	416		(Q8xC13):4C4	416,42
(Q₈xC₁₃):₅C₄ = C₅₂.₅₆D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈xC₁₃	104	4	(Q8xC13):5C4	416,44
(Q₈xC₁₃):₆C₄ = Q₈xDic₁₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈xC₁₃	416		(Q8xC13):6C4	416,166
(Q₈xC₁₃):₇C₄ = C₁₃xQ₈:C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈xC₁₃	416		(Q8xC13):7C4	416,53
(Q₈xC₁₃):₈C₄ = C₁₃xC₄wrC₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈xC₁₃	104	2	(Q8xC13):8C4	416,54

Non-split extensions G=N.Q with N=Q₈xC₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₃).C₄ = D₅₂.C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈xC₁₃	208	8+	(Q8xC13).C4	416,207
(Q₈xC₁₃).₂C₄ = D₄.Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈xC₁₃	208	4	(Q8xC13).2C4	416,169
(Q₈xC₁₃).₃C₄ = C₁₃xC₈oD₄	φ: trivial image	208	2	(Q8xC13).3C4	416,192

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