Extensions 1→N→G→Q→1 with N=D₄×C₁₃ and Q=C₄

Direct product G=N×Q with N=D₄×C₁₃ and Q=C₄

		d	ρ	Label	ID
D₄×C₅₂		208		D4xC52	416,179

Semidirect products G=N:Q with N=D₄×C₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₃)⋊₁C₄ = D₅₂⋊₁C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₃	104	8+	(D4xC13):1C4	416,82
(D₄×C₁₃)⋊₂C₄ = Dic₂₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₃	104	8-	(D4xC13):2C4	416,83
(D₄×C₁₃)⋊₃C₄ = D₄×C₁₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₃	52	8+	(D4xC13):3C4	416,206
(D₄×C₁₃)⋊₄C₄ = D₄⋊Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13):4C4	416,39
(D₄×C₁₃)⋊₅C₄ = C₅₂.₅₆D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₃	104	4	(D4xC13):5C4	416,44
(D₄×C₁₃)⋊₆C₄ = D₄×Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13):6C4	416,155
(D₄×C₁₃)⋊₇C₄ = C₁₃×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₃	208		(D4xC13):7C4	416,52
(D₄×C₁₃)⋊₈C₄ = C₁₃×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₃	104	2	(D4xC13):8C4	416,54

Non-split extensions G=N.Q with N=D₄×C₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₃).C₄ = Dic₂₆.C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₃	208	8-	(D4xC13).C4	416,205
(D₄×C₁₃).₂C₄ = D₄.Dic₁₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₃	208	4	(D4xC13).2C4	416,169
(D₄×C₁₃).₃C₄ = C₁₃×C₈○D₄	φ: trivial image	208	2	(D4xC13).3C4	416,192

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