Extensions 1→N→G→Q→1 with N=C₃×2₊¹⁺⁴ and Q=C₂

Direct product G=N×Q with N=C₃×2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₆×2₊¹⁺⁴		48		C6xES+(2,2)	192,1534

Semidirect products G=N:Q with N=C₃×2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×2₊¹⁺⁴)⋊₁C₂ = 2₊¹⁺⁴⋊₆S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	24	8+	(C3xES+(2,2)):1C2	192,800
(C₃×2₊¹⁺⁴)⋊₂C₂ = D₁₂.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	8+	(C3xES+(2,2)):2C2	192,1394
(C₃×2₊¹⁺⁴)⋊₃C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	8-	(C3xES+(2,2)):3C2	192,1395
(C₃×2₊¹⁺⁴)⋊₄C₂ = S₃×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	24	8+	(C3xES+(2,2)):4C2	192,1524
(C₃×2₊¹⁺⁴)⋊₅C₂ = D₆.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	8-	(C3xES+(2,2)):5C2	192,1525
(C₃×2₊¹⁺⁴)⋊₆C₂ = 2₊¹⁺⁴⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	24	8+	(C3xES+(2,2)):6C2	192,803
(C₃×2₊¹⁺⁴)⋊₇C₂ = C₃×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	24	4	(C3xES+(2,2)):7C2	192,886
(C₃×2₊¹⁺⁴)⋊₈C₂ = C₃×C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	24	4	(C3xES+(2,2)):8C2	192,890
(C₃×2₊¹⁺⁴)⋊₉C₂ = C₃×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	4	(C3xES+(2,2)):9C2	192,1465
(C₃×2₊¹⁺⁴)⋊₁₀C₂ = C₃×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	4	(C3xES+(2,2)):10C2	192,1466
(C₃×2₊¹⁺⁴)⋊₁₁C₂ = C₃×C₂.C₂⁵	φ: trivial image	48	4	(C3xES+(2,2)):11C2	192,1536

Non-split extensions G=N.Q with N=C₃×2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×2₊¹⁺⁴).₁C₂ = 2₊¹⁺⁴.₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	8-	(C3xES+(2,2)).1C2	192,801
(C₃×2₊¹⁺⁴).₂C₂ = 2₊¹⁺⁴.₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	8-	(C3xES+(2,2)).2C2	192,802
(C₃×2₊¹⁺⁴).₃C₂ = C₃×D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	4	(C3xES+(2,2)).3C2	192,888
(C₃×2₊¹⁺⁴).₄C₂ = C₃×C₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×2₊¹⁺⁴	48	4	(C3xES+(2,2)).4C2	192,891

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