Extensions 1→N→G→Q→1 with N=D₄×C₁₃ and Q=C₂

Direct product G=N×Q with N=D₄×C₁₃ and Q=C₂

		d	ρ	Label	ID
D₄×C₂₆		104		D4xC26	208,46

Semidirect products G=N:Q with N=D₄×C₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₃)⋊₁C₂ = D₄⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₃	104	4+	(D4xC13):1C2	208,15
(D₄×C₁₃)⋊₂C₂ = D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₃	52	4+	(D4xC13):2C2	208,39
(D₄×C₁₃)⋊₃C₂ = D₄⋊₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₃	104	4-	(D4xC13):3C2	208,40
(D₄×C₁₃)⋊₄C₂ = C₁₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₃	104	2	(D4xC13):4C2	208,25
(D₄×C₁₃)⋊₅C₂ = C₁₃×C₄○D₄	φ: trivial image	104	2	(D4xC13):5C2	208,48

Non-split extensions G=N.Q with N=D₄×C₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₃).₁C₂ = D₄.D₁₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₃	104	4-	(D4xC13).1C2	208,16
(D₄×C₁₃).₂C₂ = C₁₃×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₃	104	2	(D4xC13).2C2	208,26

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