Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₄₀

Direct product G=NxQ with N=C₂xC₄ and Q=C₄₀

		d	ρ	Label	ID
C₂xC₄xC₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):C₄₀ = C₅xC₂².M₄(2)	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₂xC₄	160		(C2xC4):C40	320,129
(C₂xC₄):₂C₄₀ = C₅xC₂².₇C₄²	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4):2C40	320,141
(C₂xC₄):₃C₄₀ = C₁₀xC₄:C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4):3C40	320,923
(C₂xC₄):₄C₄₀ = C₅xC₄².₁₂C₄	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4):4C40	320,932

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).C₄₀ = C₅xC₂³.C₈	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₂xC₄	80	4	(C2xC4).C40	320,154
(C₂xC₄).₂C₄₀ = C₅xC₁₆:₅C₄	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4).2C40	320,151
(C₂xC₄).₃C₄₀ = C₅xC₂²:C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).3C40	320,153
(C₂xC₄).₄C₄₀ = C₅xC₄:C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	320		(C2xC4).4C40	320,168
(C₂xC₄).₅C₄₀ = C₅xM₆(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	160	2	(C2xC4).5C40	320,175
(C₂xC₄).₆C₄₀ = C₁₀xM₅(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂xC₄	160		(C2xC4).6C40	320,1004

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