Extensions 1→N→G→Q→1 with N=D₄×C₂₃ and Q=C₂

Direct product G=N×Q with N=D₄×C₂₃ and Q=C₂

		d	ρ	Label	ID
D₄×C₄₆		184		D4xC46	368,38

Semidirect products G=N:Q with N=D₄×C₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₃)⋊₁C₂ = D₄⋊D₂₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₃	184	4+	(D4xC23):1C2	368,14
(D₄×C₂₃)⋊₂C₂ = D₄×D₂₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₃	92	4+	(D4xC23):2C2	368,31
(D₄×C₂₃)⋊₃C₂ = D₄⋊₂D₂₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₃	184	4-	(D4xC23):3C2	368,32
(D₄×C₂₃)⋊₄C₂ = D₈×C₂₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₃	184	2	(D4xC23):4C2	368,24
(D₄×C₂₃)⋊₅C₂ = C₄○D₄×C₂₃	φ: trivial image	184	2	(D4xC23):5C2	368,40

Non-split extensions G=N.Q with N=D₄×C₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₂₃).₁C₂ = D₄.D₂₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₃	184	4-	(D4xC23).1C2	368,15
(D₄×C₂₃).₂C₂ = SD₁₆×C₂₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₂₃	184	2	(D4xC23).2C2	368,25

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