Extensions 1→N→G→Q→1 with N=C₂×D₄ and Q=C₂₀

Direct product G=N×Q with N=C₂×D₄ and Q=C₂₀

		d	ρ	Label	ID
D₄×C₂×C₂₀		160		D4xC2xC20	320,1517

Semidirect products G=N:Q with N=C₂×D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄)⋊₁C₂₀ = C₅×C₂².SD₁₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×D₄	80		(C2xD4):1C20	320,132
(C₂×D₄)⋊₂C₂₀ = C₅×C₄²⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×D₄	40	4	(C2xD4):2C20	320,158
(C₂×D₄)⋊₃C₂₀ = C₅×C₂³.₂₃D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4):3C20	320,887
(C₂×D₄)⋊₄C₂₀ = C₅×C₂⁴.₃C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4):4C20	320,891
(C₂×D₄)⋊₅C₂₀ = C₁₀×C₂³⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):5C20	320,910
(C₂×D₄)⋊₆C₂₀ = C₅×C₂³.C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4):6C20	320,911
(C₂×D₄)⋊₇C₂₀ = C₁₀×D₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4):7C20	320,915
(C₂×D₄)⋊₈C₂₀ = C₅×C₂³.₃₇D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):8C20	320,919
(C₂×D₄)⋊₉C₂₀ = C₁₀×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):9C20	320,921
(C₂×D₄)⋊₁₀C₂₀ = C₅×C₄²⋊C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4):10C20	320,922
(C₂×D₄)⋊₁₁C₂₀ = C₅×C₂².₁₁C₂⁴	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4):11C20	320,1520

Non-split extensions G=N.Q with N=C₂×D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₄).₁C₂₀ = C₅×C₄².C₂²	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×D₄	160		(C2xD4).1C20	320,134
(C₂×D₄).₂C₂₀ = C₅×C₄.D₈	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×D₄	160		(C2xD4).2C20	320,136
(C₂×D₄).₃C₂₀ = C₅×C₄².C₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂×D₄	80	4	(C2xD4).3C20	320,160
(C₂×D₄).₄C₂₀ = C₅×D₄⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).4C20	320,130
(C₂×D₄).₅C₂₀ = C₅×(C₂²×C₈)⋊C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).5C20	320,909
(C₂×D₄).₆C₂₀ = C₁₀×C₄.D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80		(C2xD4).6C20	320,912
(C₂×D₄).₇C₂₀ = C₅×M₄(2).₈C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4).7C20	320,914
(C₂×D₄).₈C₂₀ = C₅×C₈⋊₉D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).8C20	320,936
(C₂×D₄).₉C₂₀ = C₅×C₈⋊₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	160		(C2xD4).9C20	320,937
(C₂×D₄).₁₀C₂₀ = C₅×Q₈○M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂×D₄	80	4	(C2xD4).10C20	320,1570
(C₂×D₄).₁₁C₂₀ = D₄×C₄₀	φ: trivial image	160		(C2xD4).11C20	320,935
(C₂×D₄).₁₂C₂₀ = C₁₀×C₈○D₄	φ: trivial image	160		(C2xD4).12C20	320,1569

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