Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄×C₂×C₁₀

Direct product G=N×Q with N=C₃ and Q=D₄×C₂×C₁₀

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=C₃ and Q=D₄×C₂×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₂×C₁₀) = C₂×C₁₀×D₁₂	φ: D₄×C₂×C₁₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:1(D4xC2xC10)	480,1152
C₃⋊₂(D₄×C₂×C₁₀) = S₃×D₄×C₁₀	φ: D₄×C₂×C₁₀/D₄×C₁₀ → C₂ ⊆ Aut C₃	120		C3:2(D4xC2xC10)	480,1154
C₃⋊₃(D₄×C₂×C₁₀) = C₂×C₁₀×C₃⋊D₄	φ: D₄×C₂×C₁₀/C₂³×C₁₀ → C₂ ⊆ Aut C₃	240		C3:3(D4xC2xC10)	480,1164

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