Extensions 1→N→G→Q→1 with N=D₅×C₁₀ and Q=C₄

Direct product G=N×Q with N=D₅×C₁₀ and Q=C₄

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

Semidirect products G=N:Q with N=D₅×C₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₀)⋊₁C₄ = D₅.D₂₀	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	40	8+	(D5xC10):1C4	400,118
(D₅×C₁₀)⋊₂C₄ = D₁₀⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	20	8+	(D5xC10):2C4	400,125
(D₅×C₁₀)⋊₃C₄ = C₂×D₅×F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	40	8+	(D5xC10):3C4	400,209
(D₅×C₁₀)⋊₄C₄ = C₂×D₅⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	20	8+	(D5xC10):4C4	400,210
(D₅×C₁₀)⋊₅C₄ = D₁₀⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):5C4	400,72
(D₅×C₁₀)⋊₆C₄ = C₅×D₁₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):6C4	400,86
(D₅×C₁₀)⋊₇C₄ = C₂×D₅×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):7C4	400,172
(D₅×C₁₀)⋊₈C₄ = C₅×C₂²⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10):8C4	400,141
(D₅×C₁₀)⋊₉C₄ = D₁₀.D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	40	4	(D5xC10):9C4	400,148
(D₅×C₁₀)⋊₁₀C₄ = F₅×C₂×C₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):10C4	400,214
(D₅×C₁₀)⋊₁₁C₄ = C₂²×D₅.D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80		(D5xC10):11C4	400,215

Non-split extensions G=N.Q with N=D₅×C₁₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₀).₁C₄ = D₅×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	80	8-	(D5xC10).1C4	400,120
(D₅×C₁₀).₂C₄ = D₁₀.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	80	8-	(D5xC10).2C4	400,122
(D₅×C₁₀).₃C₄ = D₁₀.₂F₅	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	80	8-	(D5xC10).3C4	400,127
(D₅×C₁₀).₄C₄ = C₅²⋊₄M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out D₅×C₁₀	80	8-	(D5xC10).4C4	400,128
(D₅×C₁₀).₅C₄ = D₅×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).5C4	400,60
(D₅×C₁₀).₆C₄ = C₂₀.₃₀D₁₀	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).6C4	400,62
(D₅×C₁₀).₇C₄ = C₅×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	2	(D5xC10).7C4	400,77
(D₅×C₁₀).₈C₄ = C₅×D₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).8C4	400,135
(D₅×C₁₀).₉C₄ = C₅×C₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).9C4	400,136
(D₅×C₁₀).₁₀C₄ = C₂₀.₁₄F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).10C4	400,142
(D₅×C₁₀).₁₁C₄ = C₂₀.₁₂F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₀	80	4	(D5xC10).11C4	400,143
(D₅×C₁₀).₁₂C₄ = D₅×C₄₀	φ: trivial image	80	2	(D5xC10).12C4	400,76

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