Extensions 1→N→G→Q→1 with N=C₄×D₂₃ and Q=C₂

Direct product G=N×Q with N=C₄×D₂₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₂₃		184		C2xC4xD23	368,28

Semidirect products G=N:Q with N=C₄×D₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₃)⋊₁C₂ = D₄×D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₃	92	4+	(C4xD23):1C2	368,31
(C₄×D₂₃)⋊₂C₂ = D₄⋊₂D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₃	184	4-	(C4xD23):2C2	368,32
(C₄×D₂₃)⋊₃C₂ = D₉₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₃	184	4+	(C4xD23):3C2	368,34
(C₄×D₂₃)⋊₄C₂ = D₉₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₃	184	2	(C4xD23):4C2	368,30

Non-split extensions G=N.Q with N=C₄×D₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₂₃).₁C₂ = Q₈×D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₃	184	4-	(C4xD23).1C2	368,33
(C₄×D₂₃).₂C₂ = C₈⋊D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₂₃	184	2	(C4xD23).2C2	368,4
(C₄×D₂₃).₃C₂ = C₈×D₂₃	φ: trivial image	184	2	(C4xD23).3C2	368,3

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