Extensions 1→N→G→Q→1 with N=C₄₀ and Q=D₅

Direct product G=N×Q with N=C₄₀ and Q=D₅

		d	ρ	Label	ID
D₅×C₄₀		80	2	D5xC40	400,76

Semidirect products G=N:Q with N=C₄₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀⋊₁D₅ = C₅²⋊₅D₈	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200		C40:1D5	400,95
C₄₀⋊₂D₅ = C₄₀⋊₂D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200		C40:2D5	400,94
C₄₀⋊₃D₅ = C₈×C₅⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200		C40:3D5	400,92
C₄₀⋊₄D₅ = C₄₀⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200		C40:4D5	400,93
C₄₀⋊₅D₅ = C₅×D₄₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:5D5	400,79
C₄₀⋊₆D₅ = C₅×C₄₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:6D5	400,78
C₄₀⋊₇D₅ = C₅×C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:7D5	400,77

Non-split extensions G=N.Q with N=C₄₀ and Q=D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀.₁D₅ = Dic₁₀₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	400	2-	C40.1D5	400,4
C₄₀.₂D₅ = D₂₀₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200	2+	C40.2D5	400,8
C₄₀.₃D₅ = C₄₀.D₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	400		C40.3D5	400,96
C₄₀.₄D₅ = C₂₀₀⋊C₂	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200	2	C40.4D5	400,7
C₄₀.₅D₅ = C₂₅⋊₂C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	400	2	C40.5D5	400,1
C₄₀.₆D₅ = C₈×D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200	2	C40.6D5	400,5
C₄₀.₇D₅ = C₈⋊D₂₅	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	200	2	C40.7D5	400,6
C₄₀.₈D₅ = C₅²⋊₇C₁₆	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	400		C40.8D5	400,50
C₄₀.₉D₅ = C₅×Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40.9D5	400,80
C₄₀.₁₀D₅ = C₅×C₅⋊₂C₁₆	central extension (φ=1)	80	2	C40.10D5	400,49

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