Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=A₄

Direct product G=NxQ with N=C₂xC₁₀ and Q=A₄

		d	ρ	Label	ID
A₄xC₂xC₁₀		60		A4xC2xC10	240,203

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):A₄ = C₅xC₂²:A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂xC₁₀	60		(C2xC10):A4	240,204

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).A₄ = C₅xC₄²:C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₂xC₁₀	60	3	(C2xC10).A4	240,32
(C₂xC₁₀).₂A₄ = C₁₀xSL₂(F₃)	central extension (φ=1)	80		(C2xC10).2A4	240,153

Extensions 1→N→G→Q→1 with N=C2xC10 and Q=A4