C_n D_n S_n A_n ...

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

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

		d	ρ	Label	ID
C₁₀×2₊⁽¹⁺⁴⁾		80		C10xES+(2,2)	320,1632

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×2₊⁽¹⁺⁴⁾)⋊₁C₂ = 2₊⁽¹⁺⁴⁾⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	40	8+	(C5xES+(2,2)):1C2	320,868
(C₅×2₊⁽¹⁺⁴⁾)⋊₂C₂ = D₂₀.₃₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	8+	(C5xES+(2,2)):2C2	320,1507
(C₅×2₊⁽¹⁺⁴⁾)⋊₃C₂ = D₂₀.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	8-	(C5xES+(2,2)):3C2	320,1508
(C₅×2₊⁽¹⁺⁴⁾)⋊₄C₂ = D₅×2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	40	8+	(C5xES+(2,2)):4C2	320,1622
(C₅×2₊⁽¹⁺⁴⁾)⋊₅C₂ = D₂₀.₃₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	8-	(C5xES+(2,2)):5C2	320,1623
(C₅×2₊⁽¹⁺⁴⁾)⋊₆C₂ = 2₊⁽¹⁺⁴⁾⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	40	8+	(C5xES+(2,2)):6C2	320,871
(C₅×2₊⁽¹⁺⁴⁾)⋊₇C₂ = C₅×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	40	4	(C5xES+(2,2)):7C2	320,954
(C₅×2₊⁽¹⁺⁴⁾)⋊₈C₂ = C₅×C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	40	4	(C5xES+(2,2)):8C2	320,958
(C₅×2₊⁽¹⁺⁴⁾)⋊₉C₂ = C₅×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	4	(C5xES+(2,2)):9C2	320,1578
(C₅×2₊⁽¹⁺⁴⁾)⋊₁₀C₂ = C₅×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	4	(C5xES+(2,2)):10C2	320,1579
(C₅×2₊⁽¹⁺⁴⁾)⋊₁₁C₂ = C₅×C₂.C₂⁵	φ: trivial image	80	4	(C5xES+(2,2)):11C2	320,1634

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×2₊⁽¹⁺⁴⁾).₁C₂ = 2₊⁽¹⁺⁴⁾.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	8-	(C5xES+(2,2)).1C2	320,869
(C₅×2₊⁽¹⁺⁴⁾).₂C₂ = 2₊⁽¹⁺⁴⁾.₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	8-	(C5xES+(2,2)).2C2	320,870
(C₅×2₊⁽¹⁺⁴⁾).₃C₂ = C₅×D₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	4	(C5xES+(2,2)).3C2	320,956
(C₅×2₊⁽¹⁺⁴⁾).₄C₂ = C₅×C₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×2₊⁽¹⁺⁴⁾	80	4	(C5xES+(2,2)).4C2	320,959

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