Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄xC₁₀

Direct product G=NxQ with N=C₃ and Q=D₄xC₁₀

		d	ρ	Label	ID
D₄xC₃₀		120		D4xC30	240,186

Semidirect products G=N:Q with N=C₃ and Q=D₄xC₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(D₄xC₁₀) = C₁₀xD₁₂	φ: D₄xC₁₀/C₂xC₂₀ → C₂ ⊆ Aut C₃	120		C3:1(D4xC10)	240,167
C₃:₂(D₄xC₁₀) = C₅xS₃xD₄	φ: D₄xC₁₀/C₅xD₄ → C₂ ⊆ Aut C₃	60	4	C3:2(D4xC10)	240,169
C₃:₃(D₄xC₁₀) = C₁₀xC₃:D₄	φ: D₄xC₁₀/C₂²xC₁₀ → C₂ ⊆ Aut C₃	120		C3:3(D4xC10)	240,174

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