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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⁾		224		C14xES-(2,2)	448,1390

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⁾	112	8+	(C7xES-(2,2)):1C2	448,779
(C₇×2_-⁽¹⁺⁴⁾)⋊₂C₂ = D₂₈.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	112	8+	(C7xES-(2,2)):2C2	448,1290
(C₇×2_-⁽¹⁺⁴⁾)⋊₃C₂ = D₂₈.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	224	8-	(C7xES-(2,2)):3C2	448,1291
(C₇×2_-⁽¹⁺⁴⁾)⋊₄C₂ = D₇×2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	112	8-	(C7xES-(2,2)):4C2	448,1381
(C₇×2_-⁽¹⁺⁴⁾)⋊₅C₂ = D₂₈.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	112	8+	(C7xES-(2,2)):5C2	448,1382
(C₇×2_-⁽¹⁺⁴⁾)⋊₆C₂ = C₇×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	112	4	(C7xES-(2,2)):6C2	448,862
(C₇×2_-⁽¹⁺⁴⁾)⋊₇C₂ = C₇×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	112	4	(C7xES-(2,2)):7C2	448,1360
(C₇×2_-⁽¹⁺⁴⁾)⋊₈C₂ = C₇×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	224	4	(C7xES-(2,2)):8C2	448,1361
(C₇×2_-⁽¹⁺⁴⁾)⋊₉C₂ = C₇×C₂.C₂⁵	φ: trivial image	112	4	(C7xES-(2,2)):9C2	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	448,780
(C₇×2_-⁽¹⁺⁴⁾).₂C₂ = C₇×D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×2_-⁽¹⁺⁴⁾	112	4	(C7xES-(2,2)).2C2	448,864

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