Extensions 1→N→G→Q→1 with N=Q₈×C₁₃ and Q=C₄

Direct product G=N×Q with N=Q₈×C₁₃ and Q=C₄

		d	ρ	Label	ID
Q₈×C₅₂		416		Q8xC52	416,180

Semidirect products G=N:Q with N=Q₈×C₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₃)⋊₁C₄ = D₁₃.Q₁₆	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₃	104	8-	(Q8xC13):1C4	416,84
(Q₈×C₁₃)⋊₂C₄ = D₅₂⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₃	104	8+	(Q8xC13):2C4	416,85
(Q₈×C₁₃)⋊₃C₄ = Q₈×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₃	104	8-	(Q8xC13):3C4	416,208
(Q₈×C₁₃)⋊₄C₄ = Q₈⋊Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₃	416		(Q8xC13):4C4	416,42
(Q₈×C₁₃)⋊₅C₄ = C₅₂.₅₆D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₃	104	4	(Q8xC13):5C4	416,44
(Q₈×C₁₃)⋊₆C₄ = Q₈×Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₃	416		(Q8xC13):6C4	416,166
(Q₈×C₁₃)⋊₇C₄ = C₁₃×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₃	416		(Q8xC13):7C4	416,53
(Q₈×C₁₃)⋊₈C₄ = C₁₃×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₃	104	2	(Q8xC13):8C4	416,54

Non-split extensions G=N.Q with N=Q₈×C₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₃).C₄ = D₅₂.C₄	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₃	208	8+	(Q8xC13).C4	416,207
(Q₈×C₁₃).₂C₄ = D₄.Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₃	208	4	(Q8xC13).2C4	416,169
(Q₈×C₁₃).₃C₄ = C₁₃×C₈○D₄	φ: trivial image	208	2	(Q8xC13).3C4	416,192

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