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⁾		40	8+	D5xES+(2,2)	320,1622

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⁾⋊₁D₅ = 2₊⁽¹⁺⁴⁾⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	40	8+	ES+(2,2):1D5	320,868
2₊⁽¹⁺⁴⁾⋊₂D₅ = 2₊⁽¹⁺⁴⁾⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	40	8+	ES+(2,2):2D5	320,871
2₊⁽¹⁺⁴⁾⋊₃D₅ = D₂₀.₃₂C₂³	φ: D₅/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	8+	ES+(2,2):3D5	320,1507
2₊⁽¹⁺⁴⁾⋊₄D₅ = D₂₀.₃₃C₂³	φ: D₅/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	8-	ES+(2,2):4D5	320,1508
2₊⁽¹⁺⁴⁾⋊₅D₅ = D₂₀.₃₇C₂³	φ: trivial image	80	8-	ES+(2,2):5D5	320,1623

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⁾.₁D₅ = 2₊⁽¹⁺⁴⁾.D₅	φ: D₅/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	8-	ES+(2,2).1D5	320,869
2₊⁽¹⁺⁴⁾.₂D₅ = 2₊⁽¹⁺⁴⁾.₂D₅	φ: D₅/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	8-	ES+(2,2).2D5	320,870

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