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

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

		d	ρ	Label	ID
C₂×C₂₀.D₄		80		C2xC20.D4	320,843

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.D₄⋊₁C₂ = C₅⋊₃C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	40	8+	C20.D4:1C2	320,29
C₂₀.D₄⋊₂C₂ = C₂⁴⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	40	4	C20.D4:2C2	320,94
C₂₀.D₄⋊₃C₂ = D₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	40	8+	C20.D4:3C2	320,371
C₂₀.D₄⋊₄C₂ = M₄(2).₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	8-	C20.D4:4C2	320,372
C₂₀.D₄⋊₅C₂ = C₄²⋊₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	4	C20.D4:5C2	320,688
C₂₀.D₄⋊₆C₂ = D₂₀⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	40	4	C20.D4:6C2	320,704
C₂₀.D₄⋊₇C₂ = C₄₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	4	C20.D4:7C2	320,787
C₂₀.D₄⋊₈C₂ = C₄₀.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	4	C20.D4:8C2	320,804
C₂₀.D₄⋊₉C₂ = M₄(2).D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	8+	C20.D4:9C2	320,826
C₂₀.D₄⋊₁₀C₂ = M₄(2).₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	8-	C20.D4:10C2	320,827
C₂₀.D₄⋊₁₁C₂ = 2₊¹⁺⁴⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	40	8+	C20.D4:11C2	320,868
C₂₀.D₄⋊₁₂C₂ = 2₊¹⁺⁴.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	8-	C20.D4:12C2	320,869
C₂₀.D₄⋊₁₃C₂ = (D₄×C₁₀).₂₉C₄	φ: trivial image	80	4	C20.D4:13C2	320,864

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀.D₄.₁C₂ = (C₂×C₂₀).D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	8-	C20.D4.1C2	320,30
C₂₀.D₄.₂C₂ = (C₂²×C₂₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀.D₄	80	4	C20.D4.2C2	320,97

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