Extensions 1→N→G→Q→1 with N=C₇x2₊¹⁺⁴ and Q=C₂

Direct product G=NxQ with N=C₇x2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₁₄x2₊¹⁺⁴		112		C14xES+(2,2)	448,1389

Semidirect products G=N:Q with N=C₇x2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇x2₊¹⁺⁴):₁C₂ = 2₊¹⁺⁴:D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	56	8+	(C7xES+(2,2)):1C2	448,775
(C₇x2₊¹⁺⁴):₂C₂ = D₂₈.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	8+	(C7xES+(2,2)):2C2	448,1288
(C₇x2₊¹⁺⁴):₃C₂ = D₂₈.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	8-	(C7xES+(2,2)):3C2	448,1289
(C₇x2₊¹⁺⁴):₄C₂ = D₇x2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	56	8+	(C7xES+(2,2)):4C2	448,1379
(C₇x2₊¹⁺⁴):₅C₂ = D₁₄.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	8-	(C7xES+(2,2)):5C2	448,1380
(C₇x2₊¹⁺⁴):₆C₂ = 2₊¹⁺⁴:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	56	8+	(C7xES+(2,2)):6C2	448,778
(C₇x2₊¹⁺⁴):₇C₂ = C₇xD₄:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	56	4	(C7xES+(2,2)):7C2	448,861
(C₇x2₊¹⁺⁴):₈C₂ = C₇xC₂wrC₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	56	4	(C7xES+(2,2)):8C2	448,865
(C₇x2₊¹⁺⁴):₉C₂ = C₇xD₄oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	4	(C7xES+(2,2)):9C2	448,1359
(C₇x2₊¹⁺⁴):₁₀C₂ = C₇xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	4	(C7xES+(2,2)):10C2	448,1360
(C₇x2₊¹⁺⁴):₁₁C₂ = C₇xC₂.C₂⁵	φ: trivial image	112	4	(C7xES+(2,2)):11C2	448,1391

Non-split extensions G=N.Q with N=C₇x2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇x2₊¹⁺⁴).₁C₂ = 2₊¹⁺⁴.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	8-	(C7xES+(2,2)).1C2	448,776
(C₇x2₊¹⁺⁴).₂C₂ = 2₊¹⁺⁴.₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	8-	(C7xES+(2,2)).2C2	448,777
(C₇x2₊¹⁺⁴).₃C₂ = C₇xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	4	(C7xES+(2,2)).3C2	448,863
(C₇x2₊¹⁺⁴).₄C₂ = C₇xC₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇x2₊¹⁺⁴	112	4	(C7xES+(2,2)).4C2	448,866

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