Extensions 1→N→G→Q→1 with N=C₃×D₁₂ and Q=C₂

Direct product G=N×Q with N=C₃×D₁₂ and Q=C₂

		d	ρ	Label	ID
C₆×D₁₂		48		C6xD12	144,160

Semidirect products G=N:Q with N=C₃×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₂)⋊₁C₂ = C₃²⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12):1C2	144,56
(C₃×D₁₂)⋊₂C₂ = C₃⋊D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	24	4+	(C3xD12):2C2	144,57
(C₃×D₁₂)⋊₃C₂ = C₃×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	24	4	(C3xD12):3C2	144,80
(C₃×D₁₂)⋊₄C₂ = D₁₂⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	4-	(C3xD12):4C2	144,138
(C₃×D₁₂)⋊₅C₂ = D₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	24	4	(C3xD12):5C2	144,139
(C₃×D₁₂)⋊₆C₂ = S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	24	4+	(C3xD12):6C2	144,144
(C₃×D₁₂)⋊₇C₂ = D₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	24	4	(C3xD12):7C2	144,145
(C₃×D₁₂)⋊₈C₂ = C₃×S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	24	4	(C3xD12):8C2	144,162
(C₃×D₁₂)⋊₉C₂ = C₃×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12):9C2	144,165
(C₃×D₁₂)⋊₁₀C₂ = C₃×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	2	(C3xD12):10C2	144,72
(C₃×D₁₂)⋊₁₁C₂ = C₃×C₄○D₁₂	φ: trivial image	24	2	(C3xD12):11C2	144,161

Non-split extensions G=N.Q with N=C₃×D₁₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₁₂).₁C₂ = Dic₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12).1C2	144,58
(C₃×D₁₂).₂C₂ = D₁₂.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	4-	(C3xD12).2C2	144,59
(C₃×D₁₂).₃C₂ = C₃×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	4	(C3xD12).3C2	144,82
(C₃×D₁₂).₄C₂ = C₃×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₁₂	48	2	(C3xD12).4C2	144,71

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