Extensions 1→N→G→Q→1 with N=Q₈×C₂₃ and Q=C₂

Direct product G=N×Q with N=Q₈×C₂₃ and Q=C₂

		d	ρ	Label	ID
Q₈×C₄₆		368		Q8xC46	368,39

Semidirect products G=N:Q with N=Q₈×C₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₃)⋊₁C₂ = Q₈⋊D₂₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₃	184	4+	(Q8xC23):1C2	368,16
(Q₈×C₂₃)⋊₂C₂ = Q₈×D₂₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₃	184	4-	(Q8xC23):2C2	368,33
(Q₈×C₂₃)⋊₃C₂ = D₉₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₃	184	4+	(Q8xC23):3C2	368,34
(Q₈×C₂₃)⋊₄C₂ = SD₁₆×C₂₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₃	184	2	(Q8xC23):4C2	368,25
(Q₈×C₂₃)⋊₅C₂ = C₄○D₄×C₂₃	φ: trivial image	184	2	(Q8xC23):5C2	368,40

Non-split extensions G=N.Q with N=Q₈×C₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₂₃).₁C₂ = C₂₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₃	368	4-	(Q8xC23).1C2	368,17
(Q₈×C₂₃).₂C₂ = Q₁₆×C₂₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₂₃	368	2	(Q8xC23).2C2	368,26

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