Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₄₀

Direct product G=N×Q with N=C₂×C₆ and Q=C₄₀

		d	ρ	Label	ID
C₂²×C₁₂₀		480		C2^2xC120	480,934

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₄₀

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₆)⋊₁C₄₀ = C₁₅×C₂²⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	(C2xC6):1C40	480,201
(C₂×C₆)⋊₂C₄₀ = C₅×C₁₂.₅₅D₄	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	(C2xC6):2C40	480,149
(C₂×C₆)⋊₃C₄₀ = C₂×C₁₀×C₃⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	480	(C2xC6):3C40	480,799

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).₁C₄₀ = C₁₅×M₅(2)	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).1C40	480,213
(C₂×C₆).₂C₄₀ = C₁₀×C₃⋊C₁₆	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	480		(C2xC6).2C40	480,130
(C₂×C₆).₃C₄₀ = C₅×C₁₂.C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₂×C₆	240	2	(C2xC6).3C40	480,131

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C40