Extensions 1→N→G→Q→1 with N=C₃x2₊¹⁺⁴ and Q=C₂

Direct product G=NxQ with N=C₃x2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₆x2₊¹⁺⁴		48		C6xES+(2,2)	192,1534

Semidirect products G=N:Q with N=C₃x2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃x2₊¹⁺⁴):₁C₂ = 2₊¹⁺⁴:₆S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	24	8+	(C3xES+(2,2)):1C2	192,800
(C₃x2₊¹⁺⁴):₂C₂ = D₁₂.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	8+	(C3xES+(2,2)):2C2	192,1394
(C₃x2₊¹⁺⁴):₃C₂ = D₁₂.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	8-	(C3xES+(2,2)):3C2	192,1395
(C₃x2₊¹⁺⁴):₄C₂ = S₃x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	24	8+	(C3xES+(2,2)):4C2	192,1524
(C₃x2₊¹⁺⁴):₅C₂ = D₆.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	8-	(C3xES+(2,2)):5C2	192,1525
(C₃x2₊¹⁺⁴):₆C₂ = 2₊¹⁺⁴:₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	24	8+	(C3xES+(2,2)):6C2	192,803
(C₃x2₊¹⁺⁴):₇C₂ = C₃xD₄:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	24	4	(C3xES+(2,2)):7C2	192,886
(C₃x2₊¹⁺⁴):₈C₂ = C₃xC₂wrC₂²	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	24	4	(C3xES+(2,2)):8C2	192,890
(C₃x2₊¹⁺⁴):₉C₂ = C₃xD₄oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	4	(C3xES+(2,2)):9C2	192,1465
(C₃x2₊¹⁺⁴):₁₀C₂ = C₃xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	4	(C3xES+(2,2)):10C2	192,1466
(C₃x2₊¹⁺⁴):₁₁C₂ = C₃xC₂.C₂⁵	φ: trivial image	48	4	(C3xES+(2,2)):11C2	192,1536

Non-split extensions G=N.Q with N=C₃x2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃x2₊¹⁺⁴).₁C₂ = 2₊¹⁺⁴.₄S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	8-	(C3xES+(2,2)).1C2	192,801
(C₃x2₊¹⁺⁴).₂C₂ = 2₊¹⁺⁴.₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	8-	(C3xES+(2,2)).2C2	192,802
(C₃x2₊¹⁺⁴).₃C₂ = C₃xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	4	(C3xES+(2,2)).3C2	192,888
(C₃x2₊¹⁺⁴).₄C₂ = C₃xC₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃x2₊¹⁺⁴	48	4	(C3xES+(2,2)).4C2	192,891

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