Extensions 1→N→G→Q→1 with N=C₂₀⋊D₅ and Q=C₂

Direct product G=N×Q with N=C₂₀⋊D₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀⋊D₅		200		C2xC20:D5	400,193

Semidirect products G=N:Q with N=C₂₀⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊D₅⋊₁C₂ = C₅²⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	200		C20:D5:1C2	400,95
C₂₀⋊D₅⋊₂C₂ = C₅⋊D₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	40	4+	C20:D5:2C2	400,65
C₂₀⋊D₅⋊₃C₂ = C₅²⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	200		C20:D5:3C2	400,103
C₂₀⋊D₅⋊₄C₂ = Dic₁₀⋊₅D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	40	4+	C20:D5:4C2	400,168
C₂₀⋊D₅⋊₅C₂ = D₅×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	40	4+	C20:D5:5C2	400,170
C₂₀⋊D₅⋊₆C₂ = D₄×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	100		C20:D5:6C2	400,195
C₂₀⋊D₅⋊₇C₂ = C₂₀.₂₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	200		C20:D5:7C2	400,198
C₂₀⋊D₅⋊₈C₂ = C₂₀.₅₀D₁₀	φ: trivial image	200		C20:D5:8C2	400,194

Non-split extensions G=N.Q with N=C₂₀⋊D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₀⋊D₅.₁C₂ = C₄₀⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	200		C20:D5.1C2	400,94
C₂₀⋊D₅.₂C₂ = C₅²⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	40	4+	C20:D5.2C2	400,68
C₂₀⋊D₅.₃C₂ = C₅²⋊₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊D₅	200		C20:D5.3C2	400,105

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