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⁾		80		C10xES+(2,2)	320,1632

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⁾⋊₁C₁₀ = C₅×D₄⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	40	4	ES+(2,2):1C10	320,954
2₊⁽¹⁺⁴⁾⋊₂C₁₀ = C₅×C₂≀C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	40	4	ES+(2,2):2C10	320,958
2₊⁽¹⁺⁴⁾⋊₃C₁₀ = C₅×D₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	4	ES+(2,2):3C10	320,1578
2₊⁽¹⁺⁴⁾⋊₄C₁₀ = C₅×D₄○SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	4	ES+(2,2):4C10	320,1579
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⁾.₁C₁₀ = C₅×D₄.₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	4	ES+(2,2).1C10	320,956
2₊⁽¹⁺⁴⁾.₂C₁₀ = C₅×C₂³.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out 2₊⁽¹⁺⁴⁾	80	4	ES+(2,2).2C10	320,959

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