Extensions 1→N→G→Q→1 with N=C₂xD₄ and Q=S₃

Direct product G=NxQ with N=C₂xD₄ and Q=S₃

		d	ρ	Label	ID
C₂xS₃xD₄		24		C2xS3xD4	96,209

Semidirect products G=N:Q with N=C₂xD₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄):₁S₃ = C₂xD₄:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4):1S3	96,138
(C₂xD₄):₂S₃ = D₁₂:₆C₂²	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	24	4	(C2xD4):2S3	96,139
(C₂xD₄):₃S₃ = C₂³:₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	24		(C2xD4):3S3	96,144
(C₂xD₄):₄S₃ = D₆:₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4):4S3	96,145
(C₂xD₄):₅S₃ = C₂³.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4):5S3	96,146
(C₂xD₄):₆S₃ = C₁₂:₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4):6S3	96,147
(C₂xD₄):₇S₃ = D₄:₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	24	4	(C2xD4):7S3	96,211
(C₂xD₄):₈S₃ = C₂xD₄:₂S₃	φ: trivial image	48		(C2xD4):8S3	96,210

Non-split extensions G=N.Q with N=C₂xD₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₄).₁S₃ = D₄:Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4).1S3	96,39
(C₂xD₄).₂S₃ = C₁₂.D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	24	4	(C2xD4).2S3	96,40
(C₂xD₄).₃S₃ = C₂³.₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	24	4	(C2xD4).3S3	96,41
(C₂xD₄).₄S₃ = C₂xD₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4).4S3	96,140
(C₂xD₄).₅S₃ = C₂³.₂₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4).5S3	96,142
(C₂xD₄).₆S₃ = C₂³.₁₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂xD₄	48		(C2xD4).6S3	96,143
(C₂xD₄).₇S₃ = D₄xDic₃	φ: trivial image	48		(C2xD4).7S3	96,141

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