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

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

		d	ρ	Label	ID
C₂×2_-⁽¹⁺⁴⁾⋊C₅		64		C2xES-(2,2):C5	320,1585

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

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾⋊C₅⋊C₂ = 2_-⁽¹⁺⁴⁾⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾⋊C₅	32	4	ES-(2,2):C5:C2	320,1582
2_-⁽¹⁺⁴⁾⋊C₅⋊₂C₂ = 2_-⁽¹⁺⁴⁾.C₁₀	φ: trivial image	64	4	ES-(2,2):C5:2C2	320,1586

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

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

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