Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=A₄

Direct product G=N×Q with N=C₂×C₁₀ and Q=A₄

		d	ρ	Label	ID
A₄×C₂×C₁₀		60		A4xC2xC10	240,203

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊A₄ = C₅×C₂²⋊A₄	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₀	60		(C2xC10):A4	240,204

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).A₄ = C₅×C₄²⋊C₃	φ: A₄/C₂² → C₃ ⊆ Aut C₂×C₁₀	60	3	(C2xC10).A4	240,32
(C₂×C₁₀).₂A₄ = C₁₀×SL₂(𝔽₃)	central extension (φ=1)	80		(C2xC10).2A4	240,153

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C10 and Q=A4