Extensions 1→N→G→Q→1 with N=C₄₀ and Q=C₁₀

Direct product G=N×Q with N=C₄₀ and Q=C₁₀

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

Semidirect products G=N:Q with N=C₄₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀⋊₁C₁₀ = C₅×D₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:1C10	400,79
C₄₀⋊₂C₁₀ = C₅×C₄₀⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:2C10	400,78
C₄₀⋊₃C₁₀ = D₅×C₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:3C10	400,76
C₄₀⋊₄C₁₀ = C₅×C₈⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40:4C10	400,77
C₄₀⋊₅C₁₀ = D₈×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	200		C40:5C10	400,113
C₄₀⋊₆C₁₀ = SD₁₆×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	200		C40:6C10	400,114
C₄₀⋊₇C₁₀ = M₄(2)×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	200		C40:7C10	400,112

Non-split extensions G=N.Q with N=C₄₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄₀.₁C₁₀ = C₅×Dic₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40.1C10	400,80
C₄₀.₂C₁₀ = C₅×C₅⋊₂C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	80	2	C40.2C10	400,49
C₄₀.₃C₁₀ = D₈×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	200	2	C40.3C10	400,25
C₄₀.₄C₁₀ = Q₁₆×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	400	2	C40.4C10	400,27
C₄₀.₅C₁₀ = Q₁₆×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	400		C40.5C10	400,115
C₄₀.₆C₁₀ = SD₁₆×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	200	2	C40.6C10	400,26
C₄₀.₇C₁₀ = M₄(2)×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄₀	200	2	C40.7C10	400,24

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