Extensions 1→N→G→Q→1 with N=C₂²xC₁₀ and Q=C₁₀

Direct product G=NxQ with N=C₂²xC₁₀ and Q=C₁₀

		d	ρ	Label	ID
C₂²xC₁₀²		400		C2^2xC10^2	400,221

Semidirect products G=N:Q with N=C₂²xC₁₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₀):₁C₁₀ = D₄xC₅xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	200		(C2^2xC10):1C10	400,202
(C₂²xC₁₀):₂C₁₀ = C₁₀xC₅:D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	40		(C2^2xC10):2C10	400,190
(C₂²xC₁₀):₃C₁₀ = D₅xC₂²xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	80		(C2^2xC10):3C10	400,219

Non-split extensions G=N.Q with N=C₂²xC₁₀ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₁₀).₁C₁₀ = C₂²:C₄xC₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	200		(C2^2xC10).1C10	400,21
(C₂²xC₁₀).₂C₁₀ = D₄xC₅₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	200		(C2^2xC10).2C10	400,46
(C₂²xC₁₀).₃C₁₀ = C₂²:C₄xC₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	200		(C2^2xC10).3C10	400,109
(C₂²xC₁₀).₄C₁₀ = C₅xC₂³.D₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	40		(C2^2xC10).4C10	400,91
(C₂²xC₁₀).₅C₁₀ = Dic₅xC₂xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₁₀	80		(C2^2xC10).5C10	400,189

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