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
C₆×C₄⋊F₅		120		C6xC4:F5	480,1051

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) = S₃×C₄⋊F₅	φ: C₂×C₄⋊F₅/C₄⋊F₅ → C₂ ⊆ Aut C₃	60	8	C3:1(C2xC4:F5)	480,996
C₃⋊₂(C₂×C₄⋊F₅) = C₂×C₆₀⋊C₄	φ: C₂×C₄⋊F₅/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	120		C3:2(C2xC4:F5)	480,1064
C₃⋊₃(C₂×C₄⋊F₅) = C₂×Dic₃⋊F₅	φ: C₂×C₄⋊F₅/C₂²×F₅ → C₂ ⊆ Aut C₃	120		C3:3(C2xC4:F5)	480,1001

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