Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₁₀

Direct product G=N×Q with N=C₂×C₄ and Q=C₁₀

		d	ρ	Label	ID
C₂²×C₂₀		80		C2^2xC20	80,45

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₁₀ = C₅×C₂²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄	40		(C2xC4):1C10	80,21
(C₂×C₄)⋊₂C₁₀ = D₄×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄	40		(C2xC4):2C10	80,46
(C₂×C₄)⋊₃C₁₀ = C₅×C₄○D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄	40	2	(C2xC4):3C10	80,48

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₁₀ = C₅×C₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).1C10	80,22
(C₂×C₄).₂C₁₀ = C₅×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄	40	2	(C2xC4).2C10	80,24
(C₂×C₄).₃C₁₀ = Q₈×C₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄	80		(C2xC4).3C10	80,47

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C10