Extensions 1→N→G→Q→1 with N=C₃×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₃×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₆×C₄○D₄		48		C6xC4oD4	96,223

Semidirect products G=N:Q with N=C₃×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄)⋊₁C₂ = D₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	4+	(C3xC4oD4):1C2	96,156
(C₃×C₄○D₄)⋊₂C₂ = Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	4	(C3xC4oD4):2C2	96,157
(C₃×C₄○D₄)⋊₃C₂ = S₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	4	(C3xC4oD4):3C2	96,215
(C₃×C₄○D₄)⋊₄C₂ = D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	4+	(C3xC4oD4):4C2	96,216
(C₃×C₄○D₄)⋊₅C₂ = Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	4-	(C3xC4oD4):5C2	96,217
(C₃×C₄○D₄)⋊₆C₂ = C₃×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	2	(C3xC4oD4):6C2	96,182
(C₃×C₄○D₄)⋊₇C₂ = C₃×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	4	(C3xC4oD4):7C2	96,183
(C₃×C₄○D₄)⋊₈C₂ = C₃×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	4	(C3xC4oD4):8C2	96,224
(C₃×C₄○D₄)⋊₉C₂ = C₃×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	4	(C3xC4oD4):9C2	96,225

Non-split extensions G=N.Q with N=C₃×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄).₁C₂ = Q₈⋊₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	4	(C3xC4oD4).1C2	96,44
(C₃×C₄○D₄).₂C₂ = D₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	4	(C3xC4oD4).2C2	96,155
(C₃×C₄○D₄).₃C₂ = Q₈.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	4-	(C3xC4oD4).3C2	96,158
(C₃×C₄○D₄).₄C₂ = C₃×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	24	2	(C3xC4oD4).4C2	96,54
(C₃×C₄○D₄).₅C₂ = C₃×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₄○D₄	48	4	(C3xC4oD4).5C2	96,184
(C₃×C₄○D₄).₆C₂ = C₃×C₈○D₄	φ: trivial image	48	2	(C3xC4oD4).6C2	96,178

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