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

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

		d	ρ	Label	ID
C₂²×D₂₀		80		C2^2xD20	160,215

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₂₀)⋊₁C₂ = C₂₀⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):1C2	160,95
(C₂×D₂₀)⋊₂C₂ = C₂²⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40		(C2xD20):2C2	160,103
(C₂×D₂₀)⋊₃C₂ = D₁₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):3C2	160,105
(C₂×D₂₀)⋊₄C₂ = C₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):4C2	160,116
(C₂×D₂₀)⋊₅C₂ = C₂×D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):5C2	160,124
(C₂×D₂₀)⋊₆C₂ = C₂₀⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):6C2	160,151
(C₂×D₂₀)⋊₇C₂ = C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40	4+	(C2xD20):7C2	160,129
(C₂×D₂₀)⋊₈C₂ = C₂×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):8C2	160,152
(C₂×D₂₀)⋊₉C₂ = C₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):9C2	160,161
(C₂×D₂₀)⋊₁₀C₂ = D₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40	4+	(C2xD20):10C2	160,170
(C₂×D₂₀)⋊₁₁C₂ = C₂×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40		(C2xD20):11C2	160,217
(C₂×D₂₀)⋊₁₂C₂ = C₂×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20):12C2	160,221
(C₂×D₂₀)⋊₁₃C₂ = D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40	4+	(C2xD20):13C2	160,224
(C₂×D₂₀)⋊₁₄C₂ = C₂×C₄○D₂₀	φ: trivial image	80		(C2xD20):14C2	160,216

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₂₀).₁C₂ = D₂₀⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).1C2	160,28
(C₂×D₂₀).₂C₂ = D₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40	4+	(C2xD20).2C2	160,74
(C₂×D₂₀).₃C₂ = C₄.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).3C2	160,96
(C₂×D₂₀).₄C₂ = D₁₀.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).4C2	160,115
(C₂×D₂₀).₅C₂ = C₂×C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).5C2	160,123
(C₂×D₂₀).₆C₂ = D₂₀⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).6C2	160,16
(C₂×D₂₀).₇C₂ = C₂₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	40	4+	(C2xD20).7C2	160,30
(C₂×D₂₀).₈C₂ = D₂₀⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).8C2	160,114
(C₂×D₂₀).₉C₂ = C₂×Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).9C2	160,162
(C₂×D₂₀).₁₀C₂ = C₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₂₀	80		(C2xD20).10C2	160,168
(C₂×D₂₀).₁₁C₂ = C₄×D₂₀	φ: trivial image	80		(C2xD20).11C2	160,94

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