Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₄×F₅

Direct product G=N×Q with N=C₃ and Q=C₂×C₄×F₅

		d	ρ	Label	ID
F₅×C₂×C₁₂		120		F5xC2xC12	480,1050

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₄×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₄×F₅) = C₄×S₃×F₅	φ: C₂×C₄×F₅/C₄×F₅ → C₂ ⊆ Aut C₃	60	8	C3:1(C2xC4xF5)	480,994
C₃⋊₂(C₂×C₄×F₅) = C₂×C₄×C₃⋊F₅	φ: C₂×C₄×F₅/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120		C3:2(C2xC4xF5)	480,1063
C₃⋊₃(C₂×C₄×F₅) = C₂×Dic₃×F₅	φ: C₂×C₄×F₅/C₂²×F₅ → C₂ ⊆ Aut C₃	120		C3:3(C2xC4xF5)	480,998

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