Extensions 1→N→G→Q→1 with N=C₂₀ and Q=D₇

Direct product G=N×Q with N=C₂₀ and Q=D₇

		d	ρ	Label	ID
D₇×C₂₀		140	2	D7xC20	280,15

Semidirect products G=N:Q with N=C₂₀ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁D₇ = D₁₄₀	φ: D₇/C₇ → C₂ ⊆ Aut C₂₀	140	2+	C20:1D7	280,26
C₂₀⋊₂D₇ = C₄×D₃₅	φ: D₇/C₇ → C₂ ⊆ Aut C₂₀	140	2	C20:2D7	280,25
C₂₀⋊₃D₇ = C₅×D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₀	140	2	C20:3D7	280,16

Non-split extensions G=N.Q with N=C₂₀ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁D₇ = Dic₇₀	φ: D₇/C₇ → C₂ ⊆ Aut C₂₀	280	2-	C20.1D7	280,24
C₂₀.₂D₇ = C₃₅⋊₃C₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₀	280	2	C20.2D7	280,3
C₂₀.₃D₇ = C₅×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂₀	280	2	C20.3D7	280,14
C₂₀.₄D₇ = C₅×C₇⋊C₈	central extension (φ=1)	280	2	C20.4D7	280,2

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