Extensions 1→N→G→Q→1 with N=D₅×C₂₀ and Q=C₂

Direct product G=N×Q with N=D₅×C₂₀ and Q=C₂

		d	ρ	Label	ID
D₅×C₂×C₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=D₅×C₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₀)⋊₁C₂ = D₁₀.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	4	(D5xC20):1C2	400,167
(D₅×C₂₀)⋊₂C₂ = D₂₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4-	(D5xC20):2C2	400,164
(D₅×C₂₀)⋊₃C₂ = Dic₁₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	4+	(D5xC20):3C2	400,168
(D₅×C₂₀)⋊₄C₂ = D₅×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	4+	(D5xC20):4C2	400,170
(D₅×C₂₀)⋊₅C₂ = C₅×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	4	(D5xC20):5C2	400,185
(D₅×C₂₀)⋊₆C₂ = C₅×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	4	(D5xC20):6C2	400,186
(D₅×C₂₀)⋊₇C₂ = C₅×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20):7C2	400,188
(D₅×C₂₀)⋊₈C₂ = C₄×D₅²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	4	(D5xC20):8C2	400,169
(D₅×C₂₀)⋊₉C₂ = C₅×C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	40	2	(D5xC20):9C2	400,184

Non-split extensions G=N.Q with N=D₅×C₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂₀).₁C₂ = C₂₀.₃₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).1C2	400,62
(D₅×C₂₀).₂C₂ = C₂₀.₁₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).2C2	400,143
(D₅×C₂₀).₃C₂ = C₂₀⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).3C2	400,145
(D₅×C₂₀).₄C₂ = D₅×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4-	(D5xC20).4C2	400,163
(D₅×C₂₀).₅C₂ = C₅×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).5C2	400,187
(D₅×C₂₀).₆C₂ = D₅×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).6C2	400,60
(D₅×C₂₀).₇C₂ = C₅×C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	2	(D5xC20).7C2	400,77
(D₅×C₂₀).₈C₂ = C₅×C₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).8C2	400,136
(D₅×C₂₀).₉C₂ = C₅×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).9C2	400,138
(D₅×C₂₀).₁₀C₂ = C₅×D₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).10C2	400,135
(D₅×C₂₀).₁₁C₂ = C₂₀×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).11C2	400,137
(D₅×C₂₀).₁₂C₂ = C₂₀.₁₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).12C2	400,142
(D₅×C₂₀).₁₃C₂ = C₄×D₅.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂₀	80	4	(D5xC20).13C2	400,144
(D₅×C₂₀).₁₄C₂ = D₅×C₄₀	φ: trivial image	80	2	(D5xC20).14C2	400,76

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