Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄⋊F₅

Direct product G=N×Q with N=C₃ and Q=D₄⋊F₅

		d	ρ	Label	ID
C₃×D₄⋊F₅		120	8	C3xD4:F5	480,288

Semidirect products G=N:Q with N=C₃ and Q=D₄⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄⋊F₅) = D₁₂⋊₄F₅	φ: D₄⋊F₅/C₄.F₅ → C₂ ⊆ Aut C₃	120	8-	C3:1(D4:F5)	480,231
C₃⋊₂(D₄⋊F₅) = D₁₂⋊₂F₅	φ: D₄⋊F₅/C₄×F₅ → C₂ ⊆ Aut C₃	120	8-	C3:2(D4:F5)	480,232
C₃⋊₃(D₄⋊F₅) = Dic₁₀⋊Dic₃	φ: D₄⋊F₅/D₄⋊₂D₅ → C₂ ⊆ Aut C₃	120	8	C3:3(D4:F5)	480,313

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