Extensions 1→N→G→Q→1 with N=C₂²×D₅ and Q=C₄

Direct product G=N×Q with N=C₂²×D₅ and Q=C₄

		d	ρ	Label	ID
D₅×C₂²×C₄		80		D5xC2^2xC4	160,214

Semidirect products G=N:Q with N=C₂²×D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅)⋊₁C₄ = C₂³.₁D₁₀	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₅	40	4	(C2^2xD5):1C4	160,13
(C₂²×D₅)⋊₂C₄ = D₁₀.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₅	40	4+	(C2^2xD5):2C4	160,74
(C₂²×D₅)⋊₃C₄ = D₅×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5):3C4	160,101
(C₂²×D₅)⋊₄C₄ = C₂×D₁₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5):4C4	160,148
(C₂²×D₅)⋊₅C₄ = C₂×C₂²⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5):5C4	160,212
(C₂²×D₅)⋊₆C₄ = C₂³×F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	40		(C2^2xD5):6C4	160,236

Non-split extensions G=N.Q with N=C₂²×D₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₅).₁C₄ = C₂₀.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₅	40	4+	(C2^2xD5).1C4	160,30
(C₂²×D₅).₂C₄ = C₂³.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₅	40	4	(C2^2xD5).2C4	160,88
(C₂²×D₅).₃C₄ = D₁₀⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).3C4	160,27
(C₂²×D₅).₄C₄ = C₂×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).4C4	160,121
(C₂²×D₅).₅C₄ = D₅×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	40	4	(C2^2xD5).5C4	160,127
(C₂²×D₅).₆C₄ = D₁₀⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).6C4	160,78
(C₂²×D₅).₇C₄ = C₂×D₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).7C4	160,200
(C₂²×D₅).₈C₄ = C₂×C₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	80		(C2^2xD5).8C4	160,201
(C₂²×D₅).₉C₄ = D₅⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₅	40	4	(C2^2xD5).9C4	160,202
(C₂²×D₅).₁₀C₄ = D₅×C₂×C₈	φ: trivial image	80		(C2^2xD5).10C4	160,120

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