Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=D₆

Direct product G=N×Q with N=C₂×A₄ and Q=D₆

		d	ρ	Label	ID
C₂²×S₃×A₄		36		C2^2xS3xA4	288,1037

Semidirect products G=N:Q with N=C₂×A₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊₁D₆ = C₂×S₃×S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	18	6+	(C2xA4):1D6	288,1028
(C₂×A₄)⋊₂D₆ = C₂²×C₃⋊S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂×A₄	36		(C2xA4):2D6	288,1034

Non-split extensions G=N.Q with N=C₂×A₄ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).₁D₆ = Dic₃.S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	72	6-	(C2xA4).1D6	288,852
(C₂×A₄).₂D₆ = Dic₃×S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	36	6-	(C2xA4).2D6	288,853
(C₂×A₄).₃D₆ = Dic₃⋊₂S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).3D6	288,854
(C₂×A₄).₄D₆ = Dic₃⋊S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).4D6	288,855
(C₂×A₄).₅D₆ = S₃×A₄⋊C₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).5D6	288,856
(C₂×A₄).₆D₆ = D₆⋊S₄	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).6D6	288,857
(C₂×A₄).₇D₆ = A₄⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Out C₂×A₄	36	6+	(C2xA4).7D6	288,858
(C₂×A₄).₈D₆ = A₄⋊Dic₆	φ: D₆/C₆ → C₂ ⊆ Out C₂×A₄	72	6-	(C2xA4).8D6	288,907
(C₂×A₄).₉D₆ = C₄×C₃⋊S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).9D6	288,908
(C₂×A₄).₁₀D₆ = C₁₂⋊S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂×A₄	36	6+	(C2xA4).10D6	288,909
(C₂×A₄).₁₁D₆ = C₂×C₆.₇S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂×A₄	72		(C2xA4).11D6	288,916
(C₂×A₄).₁₂D₆ = (C₂×C₆)⋊₄S₄	φ: D₆/C₆ → C₂ ⊆ Out C₂×A₄	36	6	(C2xA4).12D6	288,917
(C₂×A₄).₁₃D₆ = A₄×Dic₆	φ: trivial image	72	6-	(C2xA4).13D6	288,918
(C₂×A₄).₁₄D₆ = C₄×S₃×A₄	φ: trivial image	36	6	(C2xA4).14D6	288,919
(C₂×A₄).₁₅D₆ = A₄×D₁₂	φ: trivial image	36	6+	(C2xA4).15D6	288,920
(C₂×A₄).₁₆D₆ = C₂×Dic₃×A₄	φ: trivial image	72		(C2xA4).16D6	288,927
(C₂×A₄).₁₇D₆ = A₄×C₃⋊D₄	φ: trivial image	36	6	(C2xA4).17D6	288,928

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