Extensions 1→N→G→Q→1 with N=C₃xS₃xD₄ and Q=C₂

Direct product G=NxQ with N=C₃xS₃xD₄ and Q=C₂

		d	ρ	Label	ID
S₃xC₆xD₄		48		S3xC6xD4	288,992

Semidirect products G=N:Q with N=C₃xS₃xD₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xS₃xD₄):₁C₂ = S₃xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	8+	(C3xS3xD4):1C2	288,572
(C₃xS₃xD₄):₂C₂ = D₁₂:₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	8-	(C3xS3xD4):2C2	288,580
(C₃xS₃xD₄):₃C₂ = D₁₂.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	8+	(C3xS3xD4):3C2	288,582
(C₃xS₃xD₄):₄C₂ = C₃xS₃xD₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	4	(C3xS3xD4):4C2	288,681
(C₃xS₃xD₄):₅C₂ = C₃xD₈:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	4	(C3xS3xD4):5C2	288,682
(C₃xS₃xD₄):₆C₂ = C₃xQ₈:₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	4	(C3xS3xD4):6C2	288,685
(C₃xS₃xD₄):₇C₂ = S₃²xD₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	24	8+	(C3xS3xD4):7C2	288,958
(C₃xS₃xD₄):₈C₂ = S₃xD₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	8-	(C3xS3xD4):8C2	288,959
(C₃xS₃xD₄):₉C₂ = D₁₂:₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	8-	(C3xS3xD4):9C2	288,961
(C₃xS₃xD₄):₁₀C₂ = D₁₂:₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	24	8+	(C3xS3xD4):10C2	288,962
(C₃xS₃xD₄):₁₁C₂ = C₃xD₄:₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	24	4	(C3xS3xD4):11C2	288,994
(C₃xS₃xD₄):₁₂C₂ = C₃xD₄oD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	4	(C3xS3xD4):12C2	288,999
(C₃xS₃xD₄):₁₃C₂ = C₃xS₃xC₄oD₄	φ: trivial image	48	4	(C3xS3xD4):13C2	288,998

Non-split extensions G=N.Q with N=C₃xS₃xD₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xS₃xD₄).₁C₂ = S₃xD₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	8-	(C3xS3xD4).1C2	288,576
(C₃xS₃xD₄).₂C₂ = C₃xS₃xSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xS₃xD₄	48	4	(C3xS3xD4).2C2	288,684

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