Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₅×C₁₀

Direct product G=N×Q with N=C₂×C₄ and Q=C₅×C₁₀

		d	ρ	Label	ID
C₂×C₁₀×C₂₀		400		C2xC10xC20	400,201

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₅×C₁₀) = C₂²⋊C₄×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):1(C5xC10)	400,109
(C₂×C₄)⋊₂(C₅×C₁₀) = D₄×C₅×C₁₀	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):2(C5xC10)	400,202
(C₂×C₄)⋊₃(C₅×C₁₀) = C₄○D₄×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):3(C5xC10)	400,204

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₅×C₁₀) = C₄⋊C₄×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).1(C5xC10)	400,110
(C₂×C₄).₂(C₅×C₁₀) = M₄(2)×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4).2(C5xC10)	400,112
(C₂×C₄).₃(C₅×C₁₀) = Q₈×C₅×C₁₀	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).3(C5xC10)	400,203

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