Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₀×A₄

Direct product G=N×Q with N=C₄ and Q=C₁₀×A₄

		d	ρ	Label	ID
A₄×C₂×C₂₀		120		A4xC2xC20	480,1126

Semidirect products G=N:Q with N=C₄ and Q=C₁₀×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₀×A₄) = C₅×D₄×A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₄	60	6	C4:(C10xA4)	480,1127

Non-split extensions G=N.Q with N=C₄ and Q=C₁₀×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₁₀×A₄) = C₅×Q₈×A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₄	120	6	C4.1(C10xA4)	480,1129
C₄.₂(C₁₀×A₄) = C₅×Q₈.A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₄	120	4	C4.2(C10xA4)	480,1131
C₄.₃(C₁₀×A₄) = C₅×D₄.A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₄	80	4	C4.3(C10xA4)	480,1132
C₄.₄(C₁₀×A₄) = A₄×C₄₀	central extension (φ=1)	120	3	C4.4(C10xA4)	480,659
C₄.₅(C₁₀×A₄) = C₅×C₈.A₄	central extension (φ=1)	160	2	C4.5(C10xA4)	480,660
C₄.₆(C₁₀×A₄) = C₁₀×C₄.A₄	central extension (φ=1)	160		C4.6(C10xA4)	480,1130

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