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

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

		d	ρ	Label	ID
D₅×C₂₀		40	2	D5xC20	200,28

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁D₅ = C₂₀⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	100		C20:1D5	200,34
C₂₀⋊₂D₅ = C₄×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	100		C20:2D5	200,33
C₂₀⋊₃D₅ = C₅×D₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	40	2	C20:3D5	200,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁D₅ = Dic₅₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	200	2-	C20.1D5	200,4
C₂₀.₂D₅ = D₁₀₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	100	2+	C20.2D5	200,6
C₂₀.₃D₅ = C₅²⋊₄Q₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	200		C20.3D5	200,32
C₂₀.₄D₅ = C₂₅⋊₂C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	200	2	C20.4D5	200,1
C₂₀.₅D₅ = C₄×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	100	2	C20.5D5	200,5
C₂₀.₆D₅ = C₅²⋊₇C₈	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	200		C20.6D5	200,16
C₂₀.₇D₅ = C₅×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Aut C₂₀	40	2	C20.7D5	200,27
C₂₀.₈D₅ = C₅×C₅⋊₂C₈	central extension (φ=1)	40	2	C20.8D5	200,15

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