Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀⋊₇C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀⋊₇C₄

		d	ρ	Label	ID
C₃×D₂₀⋊₇C₄		120	4	C3xD20:7C4	480,103

Semidirect products G=N:Q with N=C₃ and Q=D₂₀⋊₇C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀⋊₇C₄) = D₆₀⋊₁₆C₄	φ: D₂₀⋊₇C₄/C₄×Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D20:7C4)	480,57
C₃⋊₂(D₂₀⋊₇C₄) = D₆₀⋊₁₀C₄	φ: D₂₀⋊₇C₄/C₅×M₄(2) → C₂ ⊆ Aut C₃	120	4	C3:2(D20:7C4)	480,185
C₃⋊₃(D₂₀⋊₇C₄) = C₆₀.₉₆D₄	φ: D₂₀⋊₇C₄/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:3(D20:7C4)	480,52

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