Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₄₀

Direct product G=N×Q with N=C₂×C₄ and Q=C₄₀

		d	ρ	Label	ID
C₂×C₄×C₄₀		320		C2xC4xC40	320,903

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₄₀ = C₅×C₂².M₄(2)	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₂×C₄	160		(C2xC4):C40	320,129
(C₂×C₄)⋊₂C₄₀ = C₅×C₂².₇C₄²	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	320		(C2xC4):2C40	320,141
(C₂×C₄)⋊₃C₄₀ = C₁₀×C₄⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	320		(C2xC4):3C40	320,923
(C₂×C₄)⋊₄C₄₀ = C₅×C₄².₁₂C₄	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4):4C40	320,932

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₄₀ = C₅×C₂³.C₈	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₂×C₄	80	4	(C2xC4).C40	320,154
(C₂×C₄).₂C₄₀ = C₅×C₁₆⋊₅C₄	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	320		(C2xC4).2C40	320,151
(C₂×C₄).₃C₄₀ = C₅×C₂²⋊C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4).3C40	320,153
(C₂×C₄).₄C₄₀ = C₅×C₄⋊C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	320		(C2xC4).4C40	320,168
(C₂×C₄).₅C₄₀ = C₅×M₆(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	160	2	(C2xC4).5C40	320,175
(C₂×C₄).₆C₄₀ = C₁₀×M₅(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₄	160		(C2xC4).6C40	320,1004

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