Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀⋊C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀⋊C₄

		d	ρ	Label	ID
C₃×D₂₀⋊C₄		120	8	C3xD20:C4	480,287

Semidirect products G=N:Q with N=C₃ and Q=D₂₀⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀⋊C₄) = D₁₂⋊F₅	φ: D₂₀⋊C₄/D₅⋊C₈ → C₂ ⊆ Aut C₃	120	8+	C3:1(D20:C4)	480,228
C₃⋊₂(D₂₀⋊C₄) = D₆₀⋊C₄	φ: D₂₀⋊C₄/C₄⋊F₅ → C₂ ⊆ Aut C₃	120	8+	C3:2(D20:C4)	480,227
C₃⋊₃(D₂₀⋊C₄) = D₂₀⋊Dic₃	φ: D₂₀⋊C₄/D₄×D₅ → C₂ ⊆ Aut C₃	120	8	C3:3(D20:C4)	480,312

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