Extensions 1→N→G→Q→1 with N=C₂×Dic₂₃ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₂₃ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₂₃		368		C2^2xDic23	368,35

Semidirect products G=N:Q with N=C₂×Dic₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₂₃)⋊₁C₂ = D₄₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	184		(C2xDic23):1C2	368,13
(C₂×Dic₂₃)⋊₂C₂ = C₂³.D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	184		(C2xDic23):2C2	368,18
(C₂×Dic₂₃)⋊₃C₂ = D₄⋊₂D₂₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	184	4-	(C2xDic23):3C2	368,32
(C₂×Dic₂₃)⋊₄C₂ = C₂×C₂₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	184		(C2xDic23):4C2	368,36
(C₂×Dic₂₃)⋊₅C₂ = C₂×C₄×D₂₃	φ: trivial image	184		(C2xDic23):5C2	368,28

Non-split extensions G=N.Q with N=C₂×Dic₂₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₂₃).₁C₂ = Dic₂₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	368		(C2xDic23).1C2	368,11
(C₂×Dic₂₃).₂C₂ = C₉₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	368		(C2xDic23).2C2	368,12
(C₂×Dic₂₃).₃C₂ = C₂×Dic₄₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₂₃	368		(C2xDic23).3C2	368,27
(C₂×Dic₂₃).₄C₂ = C₄×Dic₂₃	φ: trivial image	368		(C2xDic23).4C2	368,10

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