Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.₁₀D₁₀

Direct product G=N×Q with N=C₃ and Q=D₄.₁₀D₁₀

		d	ρ	Label	ID
C₃×D₄.₁₀D₁₀		240	4	C3xD4.10D10	480,1147

Semidirect products G=N:Q with N=C₃ and Q=D₄.₁₀D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.₁₀D₁₀) = C₃₀.C₂⁴	φ: D₄.₁₀D₁₀/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240	4	C3:1(D4.10D10)	480,1080
C₃⋊₂(D₄.₁₀D₁₀) = D₂₀.₃₉D₆	φ: D₄.₁₀D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	240	4-	C3:2(D4.10D10)	480,1077
C₃⋊₃(D₄.₁₀D₁₀) = C₁₅⋊2_-¹⁺⁴	φ: D₄.₁₀D₁₀/D₄⋊₂D₅ → C₂ ⊆ Aut C₃	240	8-	C3:3(D4.10D10)	480,1096
C₃⋊₄(D₄.₁₀D₁₀) = D₁₂.₂₉D₁₀	φ: D₄.₁₀D₁₀/Q₈×D₅ → C₂ ⊆ Aut C₃	240	8-	C3:4(D4.10D10)	480,1106
C₃⋊₅(D₄.₁₀D₁₀) = D₄.₁₀D₃₀	φ: D₄.₁₀D₁₀/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	240	4-	C3:5(D4.10D10)	480,1177

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