Extensions 1→N→G→Q→1 with N=C₃xD₁₂ and Q=C₂

Direct product G=NxQ with N=C₃xD₁₂ and Q=C₂

		d	ρ	Label	ID
C₆xD₁₂		48		C6xD12	144,160

Semidirect products G=N:Q with N=C₃xD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₁₂):₁C₂ = C₃²:₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):1C2	144,56
(C₃xD₁₂):₂C₂ = C₃:D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	24	4+	(C3xD12):2C2	144,57
(C₃xD₁₂):₃C₂ = C₃xD₄:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	24	4	(C3xD12):3C2	144,80
(C₃xD₁₂):₄C₂ = D₁₂:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	4-	(C3xD12):4C2	144,138
(C₃xD₁₂):₅C₂ = D₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	24	4	(C3xD12):5C2	144,139
(C₃xD₁₂):₆C₂ = S₃xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	24	4+	(C3xD12):6C2	144,144
(C₃xD₁₂):₇C₂ = D₆:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	24	4	(C3xD12):7C2	144,145
(C₃xD₁₂):₈C₂ = C₃xS₃xD₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	24	4	(C3xD12):8C2	144,162
(C₃xD₁₂):₉C₂ = C₃xQ₈:₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12):9C2	144,165
(C₃xD₁₂):₁₀C₂ = C₃xD₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	2	(C3xD12):10C2	144,72
(C₃xD₁₂):₁₁C₂ = C₃xC₄oD₁₂	φ: trivial image	24	2	(C3xD12):11C2	144,161

Non-split extensions G=N.Q with N=C₃xD₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₁₂).₁C₂ = Dic₆:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).1C2	144,58
(C₃xD₁₂).₂C₂ = D₁₂.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	4-	(C3xD12).2C2	144,59
(C₃xD₁₂).₃C₂ = C₃xQ₈:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	4	(C3xD12).3C2	144,82
(C₃xD₁₂).₄C₂ = C₃xC₂₄:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xD₁₂	48	2	(C3xD12).4C2	144,71

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