Extensions 1→N→G→Q→1 with N=D₄ and Q=D₂₃

Direct product G=N×Q with N=D₄ and Q=D₂₃

		d	ρ	Label	ID
D₄×D₂₃		92	4+	D4xD23	368,31

Semidirect products G=N:Q with N=D₄ and Q=D₂₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊D₂₃ = D₄⋊D₂₃	φ: D₂₃/C₂₃ → C₂ ⊆ Out D₄	184	4+	D4:D23	368,14
D₄⋊₂D₂₃ = D₄⋊₂D₂₃	φ: trivial image	184	4-	D4:2D23	368,32

Non-split extensions G=N.Q with N=D₄ and Q=D₂₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.D₂₃ = D₄.D₂₃	φ: D₂₃/C₂₃ → C₂ ⊆ Out D₄	184	4-	D4.D23	368,15

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Extensions 1→N→G→Q→1 with N=D4 and Q=D23