Extensions 1→N→G→Q→1 with N=C₂²xA₄ and Q=C₆

Direct product G=NxQ with N=C₂²xA₄ and Q=C₆

		d	ρ	Label	ID
A₄xC₂²xC₆		72		A4xC2^2xC6	288,1041

Semidirect products G=N:Q with N=C₂²xA₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xA₄):C₆ = A₄xS₄	φ: C₆/C₁ → C₆ ⊆ Out C₂²xA₄	16	9+	(C2^2xA4):C6	288,1024
(C₂²xA₄):₂C₆ = C₂xA₄²	φ: C₆/C₂ → C₃ ⊆ Out C₂²xA₄	18	9+	(C2^2xA4):2C6	288,1029
(C₂²xA₄):₃C₆ = C₃xD₄xA₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xA₄	36	6	(C2^2xA4):3C6	288,980
(C₂²xA₄):₄C₆ = C₃xA₄:D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xA₄	36	6	(C2^2xA4):4C6	288,906
(C₂²xA₄):₅C₆ = C₂xC₆xS₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xA₄	36		(C2^2xA4):5C6	288,1033

Non-split extensions G=N.Q with N=C₂²xA₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xA₄).C₆ = C₆xA₄:C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²xA₄	72		(C2^2xA4).C6	288,905
(C₂²xA₄).₂C₆ = A₄xC₂xC₁₂	φ: trivial image	72		(C2^2xA4).2C6	288,979

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