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

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

		d	ρ	Label	ID
C₁₀×C₄.A₄		160		C10xC4.A4	480,1130

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₄.A₄) = C₂×Dic₅.A₄	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₁₀	160		C10:(C4.A4)	480,1038

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₄.A₄) = Dic₅×SL₂(𝔽₃)	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₁₀	160		C10.(C4.A4)	480,266
C₁₀.₂(C₄.A₄) = C₂₀×SL₂(𝔽₃)	central extension (φ=1)	160		C10.2(C4.A4)	480,655

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