Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.₉D₁₀

Direct product G=N×Q with N=C₃ and Q=D₄.₉D₁₀

		d	ρ	Label	ID
C₃×D₄.₉D₁₀		240	4	C3xD4.9D10	480,744

Semidirect products G=N:Q with N=C₃ and Q=D₄.₉D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.₉D₁₀) = D₁₂.₃₃D₁₀	φ: D₄.₉D₁₀/C₄.Dic₅ → C₂ ⊆ Aut C₃	240	4-	C3:1(D4.9D10)	480,398
C₃⋊₂(D₄.₉D₁₀) = C₆₀.₁₀C₂³	φ: D₄.₉D₁₀/D₄.D₅ → C₂ ⊆ Aut C₃	240	8-	C3:2(D4.9D10)	480,562
C₃⋊₃(D₄.₉D₁₀) = Dic₁₀.₂₆D₆	φ: D₄.₉D₁₀/C₅⋊Q₁₆ → C₂ ⊆ Aut C₃	240	8-	C3:3(D4.9D10)	480,586
C₃⋊₄(D₄.₉D₁₀) = D₁₂.₃₇D₁₀	φ: D₄.₉D₁₀/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240	4	C3:4(D4.9D10)	480,385
C₃⋊₅(D₄.₉D₁₀) = D₄.₉D₃₀	φ: D₄.₉D₁₀/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	240	4-	C3:5(D4.9D10)	480,916

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