Extensions 1→N→G→Q→1 with N=C₂xA₄ and Q=D₆

Direct product G=NxQ with N=C₂xA₄ and Q=D₆

		d	ρ	Label	ID
C₂²xS₃xA₄		36		C2^2xS3xA4	288,1037

Semidirect products G=N:Q with N=C₂xA₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄):₁D₆ = C₂xS₃xS₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	18	6+	(C2xA4):1D6	288,1028
(C₂xA₄):₂D₆ = C₂²xC₃:S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂xA₄	36		(C2xA4):2D6	288,1034

Non-split extensions G=N.Q with N=C₂xA₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xA₄).₁D₆ = Dic₃.S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	72	6-	(C2xA4).1D6	288,852
(C₂xA₄).₂D₆ = Dic₃xS₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	36	6-	(C2xA4).2D6	288,853
(C₂xA₄).₃D₆ = Dic₃:₂S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	36	6	(C2xA4).3D6	288,854
(C₂xA₄).₄D₆ = Dic₃:S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	36	6	(C2xA4).4D6	288,855
(C₂xA₄).₅D₆ = S₃xA₄:C₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	36	6	(C2xA4).5D6	288,856
(C₂xA₄).₆D₆ = D₆:S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	36	6	(C2xA4).6D6	288,857
(C₂xA₄).₇D₆ = A₄:D₁₂	φ: D₆/S₃ → C₂ ⊆ Out C₂xA₄	36	6+	(C2xA4).7D6	288,858
(C₂xA₄).₈D₆ = A₄:Dic₆	φ: D₆/C₆ → C₂ ⊆ Out C₂xA₄	72	6-	(C2xA4).8D6	288,907
(C₂xA₄).₉D₆ = C₄xC₃:S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂xA₄	36	6	(C2xA4).9D6	288,908
(C₂xA₄).₁₀D₆ = C₁₂:S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂xA₄	36	6+	(C2xA4).10D6	288,909
(C₂xA₄).₁₁D₆ = C₂xC₆.₇S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂xA₄	72		(C2xA4).11D6	288,916
(C₂xA₄).₁₂D₆ = (C₂xC₆):₄S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂xA₄	36	6	(C2xA4).12D6	288,917
(C₂xA₄).₁₃D₆ = A₄xDic₆	φ: trivial image	72	6-	(C2xA4).13D6	288,918
(C₂xA₄).₁₄D₆ = C₄xS₃xA₄	φ: trivial image	36	6	(C2xA4).14D6	288,919
(C₂xA₄).₁₅D₆ = A₄xD₁₂	φ: trivial image	36	6+	(C2xA4).15D6	288,920
(C₂xA₄).₁₆D₆ = C₂xDic₃xA₄	φ: trivial image	72		(C2xA4).16D6	288,927
(C₂xA₄).₁₇D₆ = A₄xC₃:D₄	φ: trivial image	36	6	(C2xA4).17D6	288,928

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