Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₂₃

Direct product G=NxQ with N=Q₈ and Q=D₂₃

		d	ρ	Label	ID
Q₈xD₂₃		184	4-	Q8xD23	368,33

Semidirect products G=N:Q with N=Q₈ and Q=D₂₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:D₂₃ = Q₈:D₂₃	φ: D₂₃/C₂₃ → C₂ ⊆ Out Q₈	184	4+	Q8:D23	368,16
Q₈:₂D₂₃ = D₉₂:C₂	φ: trivial image	184	4+	Q8:2D23	368,34

Non-split extensions G=N.Q with N=Q₈ and Q=D₂₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₂₃ = C₂₃:Q₁₆	φ: D₂₃/C₂₃ → C₂ ⊆ Out Q₈	368	4-	Q8.D23	368,17

Extensions 1→N→G→Q→1 with N=Q8 and Q=D23