Extensions 1→N→G→Q→1 with N=C₅×D₂₀ and Q=C₂

Direct product G=N×Q with N=C₅×D₂₀ and Q=C₂

		d	ρ	Label	ID
C₁₀×D₂₀		80		C10xD20	400,183

Semidirect products G=N:Q with N=C₅×D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₂₀)⋊₁C₂ = C₅²⋊₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	4	(C5xD20):1C2	400,64
(C₅×D₂₀)⋊₂C₂ = C₅⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	40	4+	(C5xD20):2C2	400,65
(C₅×D₂₀)⋊₃C₂ = C₅×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	40	4	(C5xD20):3C2	400,87
(C₅×D₂₀)⋊₄C₂ = D₂₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	4-	(C5xD20):4C2	400,164
(C₅×D₂₀)⋊₅C₂ = D₂₀⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	40	4	(C5xD20):5C2	400,165
(C₅×D₂₀)⋊₆C₂ = D₅×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	40	4+	(C5xD20):6C2	400,170
(C₅×D₂₀)⋊₇C₂ = C₂₀⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	40	4	(C5xD20):7C2	400,171
(C₅×D₂₀)⋊₈C₂ = C₅×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	40	4	(C5xD20):8C2	400,185
(C₅×D₂₀)⋊₉C₂ = C₅×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	4	(C5xD20):9C2	400,188
(C₅×D₂₀)⋊₁₀C₂ = C₅×D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	2	(C5xD20):10C2	400,79
(C₅×D₂₀)⋊₁₁C₂ = C₅×C₄○D₂₀	φ: trivial image	40	2	(C5xD20):11C2	400,184

Non-split extensions G=N.Q with N=C₅×D₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₂₀).₁C₂ = D₂₀.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	4	(C5xD20).1C2	400,66
(C₅×D₂₀).₂C₂ = C₅²⋊₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	4-	(C5xD20).2C2	400,67
(C₅×D₂₀).₃C₂ = C₅×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	4	(C5xD20).3C2	400,89
(C₅×D₂₀).₄C₂ = C₅×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×D₂₀	80	2	(C5xD20).4C2	400,78

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