Extensions 1→N→G→Q→1 with N=C₂²xC₁₀ and Q=C₂

Direct product G=NxQ with N=C₂²xC₁₀ and Q=C₂

		d	ρ	Label	ID
C₂³xC₁₀		80		C2^3xC10	80,52

Semidirect products G=N:Q with N=C₂²xC₁₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₁₀):₁C₂ = D₄xC₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₁₀	40	(C2^2xC10):1C2	80,46
(C₂²xC₁₀):₂C₂ = C₂xC₅:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₁₀	40	(C2^2xC10):2C2	80,44
(C₂²xC₁₀):₃C₂ = C₂³xD₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₁₀	40	(C2^2xC10):3C2	80,51

Non-split extensions G=N.Q with N=C₂²xC₁₀ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₁₀).₁C₂ = C₅xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₁₀	40	(C2^2xC10).1C2	80,21
(C₂²xC₁₀).₂C₂ = C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₁₀	40	(C2^2xC10).2C2	80,19
(C₂²xC₁₀).₃C₂ = C₂²xDic₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₁₀	80	(C2^2xC10).3C2	80,43

Extensions 1→N→G→Q→1 with N=C22xC10 and Q=C2