Extensions 1→N→G→Q→1 with N=C₄.Dic₅ and Q=C₂

Direct product G=N×Q with N=C₄.Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.Dic₅		80		C2xC4.Dic5	160,142

Semidirect products G=N:Q with N=C₄.Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₅⋊₁C₂ = D₂₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	2	C4.Dic5:1C2	160,12
C₄.Dic₅⋊₂C₂ = C₂₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	4+	C4.Dic5:2C2	160,30
C₄.Dic₅⋊₃C₂ = C₂₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	4	C4.Dic5:3C2	160,40
C₄.Dic₅⋊₄C₂ = D₄⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	4	C4.Dic5:4C2	160,44
C₄.Dic₅⋊₅C₂ = D₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	4	C4.Dic5:5C2	160,127
C₄.Dic₅⋊₆C₂ = D₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	4	C4.Dic5:6C2	160,153
C₄.Dic₅⋊₇C₂ = C₂₀.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:7C2	160,163
C₄.Dic₅⋊₈C₂ = D₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:8C2	160,169
C₄.Dic₅⋊₉C₂ = D₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	40	4+	C4.Dic5:9C2	160,170
C₄.Dic₅⋊₁₀C₂ = D₄.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	4-	C4.Dic5:10C2	160,172
C₄.Dic₅⋊₁₁C₂ = D₂₀.₃C₄	φ: trivial image	80	2	C4.Dic5:11C2	160,122

Non-split extensions G=N.Q with N=C₄.Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₅.₁C₂ = C₄₀.₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	2	C4.Dic5.1C2	160,26
C₄.Dic₅.₂C₂ = C₂₀.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.2C2	160,29
C₄.Dic₅.₃C₂ = C₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	4-	C4.Dic5.3C2	160,31
C₄.Dic₅.₄C₂ = C₂₀.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.4C2	160,43

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