Extensions 1→N→G→Q→1 with N=C₂xC₃²:₄D₆ and Q=C₂

Direct product G=NxQ with N=C₂xC₃²:₄D₆ and Q=C₂

		d	ρ	Label	ID
C₂²xC₃²:₄D₆		48		C2^2xC3^2:4D6	432,769

Semidirect products G=N:Q with N=C₂xC₃²:₄D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:₄D₆):₁C₂ = D₆:S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	48	8-	(C2xC3^2:4D6):1C2	432,600
(C₂xC₃²:₄D₆):₂C₂ = C₃:S₃:₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	8+	(C2xC3^2:4D6):2C2	432,602
(C₂xC₃²:₄D₆):₃C₂ = C₁₂:₃S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	48	4	(C2xC3^2:4D6):3C2	432,691
(C₂xC₃²:₄D₆):₄C₂ = C₆²:₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	4	(C2xC3^2:4D6):4C2	432,696
(C₂xC₃²:₄D₆):₅C₂ = C₂xC₃³:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	4	(C2xC3^2:4D6):5C2	432,755
(C₂xC₃²:₄D₆):₆C₂ = C₂xC₃²:₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	8+	(C2xC3^2:4D6):6C2	432,756
(C₂xC₃²:₄D₆):₇C₂ = C₂xS₃³	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	8+	(C2xC3^2:4D6):7C2	432,759

Non-split extensions G=N.Q with N=C₂xC₃²:₄D₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃²:₄D₆).₁C₂ = C₃:S₃.₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	4	(C2xC3^2:4D6).1C2	432,579
(C₂xC₃²:₄D₆).₂C₂ = (C₃xC₆).₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	24	8+	(C2xC3^2:4D6).2C2	432,586
(C₂xC₃²:₄D₆).₃C₂ = Dic₃:₆S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₃²:₄D₆	48	8-	(C2xC3^2:4D6).3C2	432,596
(C₂xC₃²:₄D₆).₄C₂ = C₄xC₃²:₄D₆	φ: trivial image	48	4	(C2xC3^2:4D6).4C2	432,690

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