Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₄₀

Direct product G=N×Q with N=C₅ and Q=C₂×C₄₀

		d	ρ	Label	ID
C₁₀×C₄₀		400		C10xC40	400,111

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₄₀) = C₅×D₅⋊C₈	φ: C₂×C₄₀/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:1(C2xC40)	400,135
C₅⋊₂(C₂×C₄₀) = C₁₀×C₅⋊C₈	φ: C₂×C₄₀/C₂×C₁₀ → C₄ ⊆ Aut C₅	80		C5:2(C2xC40)	400,139
C₅⋊₃(C₂×C₄₀) = D₅×C₄₀	φ: C₂×C₄₀/C₄₀ → C₂ ⊆ Aut C₅	80	2	C5:3(C2xC40)	400,76
C₅⋊₄(C₂×C₄₀) = C₁₀×C₅⋊₂C₈	φ: C₂×C₄₀/C₂×C₂₀ → C₂ ⊆ Aut C₅	80		C5:4(C2xC40)	400,81

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