Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀⋊₄C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀⋊₄C₄

		d	ρ	Label	ID
C₃×D₂₀⋊₄C₄		120	2	C3xD20:4C4	480,83

Semidirect products G=N:Q with N=C₃ and Q=D₂₀⋊₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀⋊₄C₄) = D₆₀⋊₁₃C₄	φ: D₂₀⋊₄C₄/C₄.Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D20:4C4)	480,56
C₃⋊₂(D₂₀⋊₄C₄) = D₆₀⋊₇C₄	φ: D₂₀⋊₄C₄/C₄×C₂₀ → C₂ ⊆ Aut C₃	120	2	C3:2(D20:4C4)	480,165
C₃⋊₃(D₂₀⋊₄C₄) = C₆₀.₉₇D₄	φ: D₂₀⋊₄C₄/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:3(D20:4C4)	480,53

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