C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=2_-⁽¹⁺⁴⁾ and Q=D₅

Direct product G=N×Q with N=2_-⁽¹⁺⁴⁾ and Q=D₅

		d	ρ	Label	ID
D₅×2_-⁽¹⁺⁴⁾		80	8-	D5xES-(2,2)	320,1624

Semidirect products G=N:Q with N=2_-⁽¹⁺⁴⁾ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾⋊D₅ = 2_-⁽¹⁺⁴⁾⋊D₅	φ: D₅/C₁ → D₅ ⊆ Out 2_-⁽¹⁺⁴⁾	32	4	ES-(2,2):D5	320,1582
2_-⁽¹⁺⁴⁾⋊₂D₅ = 2_-⁽¹⁺⁴⁾⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	80	8+	ES-(2,2):2D5	320,872
2_-⁽¹⁺⁴⁾⋊₃D₅ = D₂₀.₃₄C₂³	φ: D₅/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	80	8+	ES-(2,2):3D5	320,1509
2_-⁽¹⁺⁴⁾⋊₄D₅ = D₂₀.₃₅C₂³	φ: D₅/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	160	8-	ES-(2,2):4D5	320,1510
2_-⁽¹⁺⁴⁾⋊₅D₅ = D₂₀.₃₉C₂³	φ: trivial image	80	8+	ES-(2,2):5D5	320,1625

Non-split extensions G=N.Q with N=2_-⁽¹⁺⁴⁾ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾.D₅ = 2_-⁽¹⁺⁴⁾.D₅	φ: D₅/C₁ → D₅ ⊆ Out 2_-⁽¹⁺⁴⁾	64	4-	ES-(2,2).D5	320,1581
2_-⁽¹⁺⁴⁾.₂D₅ = 2_-⁽¹⁺⁴⁾.₂D₅	φ: D₅/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	80	8-	ES-(2,2).2D5	320,873

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