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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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