Extensions 1→N→G→Q→1 with N=2_-¹⁺⁴ and Q=C₂

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

		d	ρ	Label	ID
C₂×2_-¹⁺⁴		32		C2xES-(2,2)	64,265

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

extension	φ:Q→Out N	d	ρ	Label	ID
2_-¹⁺⁴⋊₁C₂ = D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out 2_-¹⁺⁴	16	4	ES-(2,2):1C2	64,135
2_-¹⁺⁴⋊₂C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out 2_-¹⁺⁴	16	4	ES-(2,2):2C2	64,258
2_-¹⁺⁴⋊₃C₂ = Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out 2_-¹⁺⁴	32	4-	ES-(2,2):3C2	64,259
2_-¹⁺⁴⋊₄C₂ = C₂.C₂⁵	φ: trivial image	16	4	ES-(2,2):4C2	64,266

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

extension	φ:Q→Out N	d	ρ	Label	ID
2_-¹⁺⁴.C₂ = D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out 2_-¹⁺⁴	16	4-	ES-(2,2).C2	64,137

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Extensions 1→N→G→Q→1 with N=2- 1+4 and Q=C2