Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₅xD₅

Direct product G=NxQ with N=C₂xC₄ and Q=C₅xD₅

		d	ρ	Label	ID
D₅xC₂xC₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₅xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(C₅xD₅) = C₅xD₁₀:C₄	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	80		(C2xC4):1(C5xD5)	400,86
(C₂xC₄):₂(C₅xD₅) = C₁₀xD₂₀	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	80		(C2xC4):2(C5xD5)	400,183
(C₂xC₄):₃(C₅xD₅) = C₅xC₄oD₂₀	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	40	2	(C2xC4):3(C5xD5)	400,184

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₅xD₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(C₅xD₅) = C₅xC₁₀.D₄	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).1(C5xD5)	400,84
(C₂xC₄).₂(C₅xD₅) = C₅xC₄.Dic₅	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	40	2	(C2xC4).2(C5xD5)	400,82
(C₂xC₄).₃(C₅xD₅) = C₅xC₄:Dic₅	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).3(C5xD5)	400,85
(C₂xC₄).₄(C₅xD₅) = C₁₀xDic₁₀	φ: C₅xD₅/C₅² → C₂ ⊆ Aut C₂xC₄	80		(C2xC4).4(C5xD5)	400,181
(C₂xC₄).₅(C₅xD₅) = C₁₀xC₅:₂C₈	central extension (φ=1)	80		(C2xC4).5(C5xD5)	400,81
(C₂xC₄).₆(C₅xD₅) = Dic₅xC₂₀	central extension (φ=1)	80		(C2xC4).6(C5xD5)	400,83

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