Extensions 1→N→G→Q→1 with N=C₅×Dic₅ and Q=C₄

Direct product G=N×Q with N=C₅×Dic₅ and Q=C₄

		d	ρ	Label	ID
Dic₅×C₂₀		80		Dic5xC20	400,83

Semidirect products G=N:Q with N=C₅×Dic₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₅)⋊₁C₄ = D₅.Dic₁₀	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	80	8-	(C5xDic5):1C4	400,119
(C₅×Dic₅)⋊₂C₄ = Dic₅⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	20	8+	(C5xDic5):2C4	400,126
(C₅×Dic₅)⋊₃C₄ = Dic₅×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	80	8-	(C5xDic5):3C4	400,117
(C₅×Dic₅)⋊₄C₄ = C₅²⋊₃C₄²	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	20	8+	(C5xDic5):4C4	400,124
(C₅×Dic₅)⋊₅C₄ = C₂₀×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5):5C4	400,137
(C₅×Dic₅)⋊₆C₄ = Dic₅⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5):6C4	400,74
(C₅×Dic₅)⋊₇C₄ = C₂₀⋊₅F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5):7C4	400,145
(C₅×Dic₅)⋊₈C₄ = Dic₅²	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5):8C4	400,71
(C₅×Dic₅)⋊₉C₄ = C₄×D₅.D₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5):9C4	400,144
(C₅×Dic₅)⋊₁₀C₄ = C₅×C₁₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5):10C4	400,84
(C₅×Dic₅)⋊₁₁C₄ = C₅×C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5):11C4	400,138

Non-split extensions G=N.Q with N=C₅×Dic₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₅).₁C₄ = Dic₅.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	40	8+	(C5xDic5).1C4	400,123
(C₅×Dic₅).₂C₄ = C₅²⋊₄M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	80	8-	(C5xDic5).2C4	400,128
(C₅×Dic₅).₃C₄ = Dic₅.₄F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	40	8+	(C5xDic5).3C4	400,121
(C₅×Dic₅).₄C₄ = D₁₀.₂F₅	φ: C₄/C₁ → C₄ ⊆ Out C₅×Dic₅	80	8-	(C5xDic5).4C4	400,127
(C₅×Dic₅).₅C₄ = C₁₀×C₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5).5C4	400,139
(C₅×Dic₅).₆C₄ = C₂₀.₃₀D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).6C4	400,62
(C₅×Dic₅).₇C₄ = C₁₀².C₄	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).7C4	400,147
(C₅×Dic₅).₈C₄ = D₅×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).8C4	400,60
(C₅×Dic₅).₉C₄ = C₂×C₅²⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5).9C4	400,146
(C₅×Dic₅).₁₀C₄ = C₅×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	80	2	(C5xDic5).10C4	400,77
(C₅×Dic₅).₁₁C₄ = C₅×C₂².F₅	φ: C₄/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).11C4	400,140
(C₅×Dic₅).₁₂C₄ = D₅×C₄₀	φ: trivial image	80	2	(C5xDic5).12C4	400,76

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