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

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

		d	ρ	Label	ID
C₂²×C₂₀		80		C2^2xC20	80,45

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀)⋊₁C₂ = D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40		(C2xC20):1C2	80,14
(C₂×C₂₀)⋊₂C₂ = C₅×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40		(C2xC20):2C2	80,21
(C₂×C₂₀)⋊₃C₂ = C₂×D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40		(C2xC20):3C2	80,37
(C₂×C₂₀)⋊₄C₂ = C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20):4C2	80,38
(C₂×C₂₀)⋊₅C₂ = C₂×C₄×D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40		(C2xC20):5C2	80,36
(C₂×C₂₀)⋊₆C₂ = D₄×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40		(C2xC20):6C2	80,46
(C₂×C₂₀)⋊₇C₂ = C₅×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20):7C2	80,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₀).₁C₂ = C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).1C2	80,12
(C₂×C₂₀).₂C₂ = C₅×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).2C2	80,22
(C₂×C₂₀).₃C₂ = C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).3C2	80,13
(C₂×C₂₀).₄C₂ = C₂×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).4C2	80,35
(C₂×C₂₀).₅C₂ = C₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20).5C2	80,10
(C₂×C₂₀).₆C₂ = C₂×C₅⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).6C2	80,9
(C₂×C₂₀).₇C₂ = C₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).7C2	80,11
(C₂×C₂₀).₈C₂ = C₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	40	2	(C2xC20).8C2	80,24
(C₂×C₂₀).₉C₂ = Q₈×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₀	80		(C2xC20).9C2	80,47

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