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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