C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=2_-⁽¹⁺⁴⁾ and Q=C₁₀

Direct product G=N×Q with N=2_-⁽¹⁺⁴⁾ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×2_-⁽¹⁺⁴⁾		160		C10xES-(2,2)	320,1633

Semidirect products G=N:Q with N=2_-⁽¹⁺⁴⁾ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾⋊C₁₀ = C₂×2_-⁽¹⁺⁴⁾⋊C₅	φ: C₁₀/C₂ → C₅ ⊆ Out 2_-⁽¹⁺⁴⁾	64		ES-(2,2):C10	320,1585
2_-⁽¹⁺⁴⁾⋊₂C₁₀ = C₅×D₄.₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	80	4	ES-(2,2):2C10	320,955
2_-⁽¹⁺⁴⁾⋊₃C₁₀ = C₅×D₄○SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	80	4	ES-(2,2):3C10	320,1579
2_-⁽¹⁺⁴⁾⋊₄C₁₀ = C₅×Q₈○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	160	4	ES-(2,2):4C10	320,1580
2_-⁽¹⁺⁴⁾⋊₅C₁₀ = C₅×C₂.C₂⁵	φ: trivial image	80	4	ES-(2,2):5C10	320,1634

Non-split extensions G=N.Q with N=2_-⁽¹⁺⁴⁾ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾.C₁₀ = 2_-⁽¹⁺⁴⁾.C₁₀	φ: C₁₀/C₂ → C₅ ⊆ Out 2_-⁽¹⁺⁴⁾	64	4	ES-(2,2).C10	320,1586
2_-⁽¹⁺⁴⁾.₂C₁₀ = C₅×D₄.₁₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	80	4	ES-(2,2).2C10	320,957

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