Extensions 1→N→G→Q→1 with N=C₇×2₊¹⁺⁴ and Q=C₂

Direct product G=N×Q with N=C₇×2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₁₄×2₊¹⁺⁴		112		C14xES+(2,2)	448,1389

Semidirect products G=N:Q with N=C₇×2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×2₊¹⁺⁴)⋊₁C₂ = 2₊¹⁺⁴⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	56	8+	(C7xES+(2,2)):1C2	448,775
(C₇×2₊¹⁺⁴)⋊₂C₂ = D₂₈.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	8+	(C7xES+(2,2)):2C2	448,1288
(C₇×2₊¹⁺⁴)⋊₃C₂ = D₂₈.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	8-	(C7xES+(2,2)):3C2	448,1289
(C₇×2₊¹⁺⁴)⋊₄C₂ = D₇×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	56	8+	(C7xES+(2,2)):4C2	448,1379
(C₇×2₊¹⁺⁴)⋊₅C₂ = D₁₄.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	8-	(C7xES+(2,2)):5C2	448,1380
(C₇×2₊¹⁺⁴)⋊₆C₂ = 2₊¹⁺⁴⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	56	8+	(C7xES+(2,2)):6C2	448,778
(C₇×2₊¹⁺⁴)⋊₇C₂ = C₇×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	56	4	(C7xES+(2,2)):7C2	448,861
(C₇×2₊¹⁺⁴)⋊₈C₂ = C₇×C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	56	4	(C7xES+(2,2)):8C2	448,865
(C₇×2₊¹⁺⁴)⋊₉C₂ = C₇×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	4	(C7xES+(2,2)):9C2	448,1359
(C₇×2₊¹⁺⁴)⋊₁₀C₂ = C₇×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	4	(C7xES+(2,2)):10C2	448,1360
(C₇×2₊¹⁺⁴)⋊₁₁C₂ = C₇×C₂.C₂⁵	φ: trivial image	112	4	(C7xES+(2,2)):11C2	448,1391

Non-split extensions G=N.Q with N=C₇×2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×2₊¹⁺⁴).₁C₂ = 2₊¹⁺⁴.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	8-	(C7xES+(2,2)).1C2	448,776
(C₇×2₊¹⁺⁴).₂C₂ = 2₊¹⁺⁴.₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	8-	(C7xES+(2,2)).2C2	448,777
(C₇×2₊¹⁺⁴).₃C₂ = C₇×D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	4	(C7xES+(2,2)).3C2	448,863
(C₇×2₊¹⁺⁴).₄C₂ = C₇×C₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×2₊¹⁺⁴	112	4	(C7xES+(2,2)).4C2	448,866

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