C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=C₅×2_-⁽¹⁺⁴⁾ and Q=C₂

Direct product G=N×Q with N=C₅×2_-⁽¹⁺⁴⁾ and Q=C₂

		d	ρ	Label	ID
C₁₀×2_-⁽¹⁺⁴⁾		160		C10xES-(2,2)	320,1633

Semidirect products G=N:Q with N=C₅×2_-⁽¹⁺⁴⁾ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×2_-⁽¹⁺⁴⁾)⋊₁C₂ = 2_-⁽¹⁺⁴⁾⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	8+	(C5xES-(2,2)):1C2	320,872
(C₅×2_-⁽¹⁺⁴⁾)⋊₂C₂ = D₂₀.₃₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	8+	(C5xES-(2,2)):2C2	320,1509
(C₅×2_-⁽¹⁺⁴⁾)⋊₃C₂ = D₂₀.₃₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	160	8-	(C5xES-(2,2)):3C2	320,1510
(C₅×2_-⁽¹⁺⁴⁾)⋊₄C₂ = D₅×2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	8-	(C5xES-(2,2)):4C2	320,1624
(C₅×2_-⁽¹⁺⁴⁾)⋊₅C₂ = D₂₀.₃₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	8+	(C5xES-(2,2)):5C2	320,1625
(C₅×2_-⁽¹⁺⁴⁾)⋊₆C₂ = C₅×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	4	(C5xES-(2,2)):6C2	320,955
(C₅×2_-⁽¹⁺⁴⁾)⋊₇C₂ = C₅×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	4	(C5xES-(2,2)):7C2	320,1579
(C₅×2_-⁽¹⁺⁴⁾)⋊₈C₂ = C₅×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	160	4	(C5xES-(2,2)):8C2	320,1580
(C₅×2_-⁽¹⁺⁴⁾)⋊₉C₂ = C₅×C₂.C₂⁵	φ: trivial image	80	4	(C5xES-(2,2)):9C2	320,1634

Non-split extensions G=N.Q with N=C₅×2_-⁽¹⁺⁴⁾ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×2_-⁽¹⁺⁴⁾).₁C₂ = 2_-⁽¹⁺⁴⁾.₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	8-	(C5xES-(2,2)).1C2	320,873
(C₅×2_-⁽¹⁺⁴⁾).₂C₂ = C₅×D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×2_-⁽¹⁺⁴⁾	80	4	(C5xES-(2,2)).2C2	320,957

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