Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×C₁₀

Direct product G=N×Q with N=C₃ and Q=D₄×C₁₀

		d	ρ	Label	ID
D₄×C₃₀		120		D4xC30	240,186

Semidirect products G=N:Q with N=C₃ and Q=D₄×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₁₀) = C₁₀×D₁₂	φ: D₄×C₁₀/C₂×C₂₀ → C₂ ⊆ Aut C₃	120		C3:1(D4xC10)	240,167
C₃⋊₂(D₄×C₁₀) = C₅×S₃×D₄	φ: D₄×C₁₀/C₅×D₄ → C₂ ⊆ Aut C₃	60	4	C3:2(D4xC10)	240,169
C₃⋊₃(D₄×C₁₀) = C₁₀×C₃⋊D₄	φ: D₄×C₁₀/C₂²×C₁₀ → C₂ ⊆ Aut C₃	120		C3:3(D4xC10)	240,174

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