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

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

		d	ρ	Label	ID
C₃×D₄.D₁₀		120	4	C3xD4.D10	480,725

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.D₁₀) = D₆₀⋊₃₆C₂²	φ: D₄.D₁₀/C₄.Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D4.D10)	480,380
C₃⋊₂(D₄.D₁₀) = D₂₀⋊₁₀D₆	φ: D₄.D₁₀/D₄⋊D₅ → C₂ ⊆ Aut C₃	120	8-	C3:2(D4.D10)	480,570
C₃⋊₃(D₄.D₁₀) = D₁₂.₉D₁₀	φ: D₄.D₁₀/D₄.D₅ → C₂ ⊆ Aut C₃	120	8+	C3:3(D4.D10)	480,572
C₃⋊₄(D₄.D₁₀) = D₂₀⋊₂₁D₆	φ: D₄.D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:4(D4.D10)	480,375
C₃⋊₅(D₄.D₁₀) = D₄.D₃₀	φ: D₄.D₁₀/D₄×C₁₀ → C₂ ⊆ Aut C₃	120	4	C3:5(D4.D10)	480,897

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