Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₀.₂C₄

Direct product G=N×Q with N=C₃ and Q=D₂₀.₂C₄

		d	ρ	Label	ID
C₃×D₂₀.₂C₄		240	4	C3xD20.2C4	480,700

Semidirect products G=N:Q with N=C₃ and Q=D₂₀.₂C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₂₀.₂C₄) = C₄₀.₃₄D₆	φ: D₂₀.₂C₄/C₈×D₅ → C₂ ⊆ Aut C₃	240	4	C3:1(D20.2C4)	480,342
C₃⋊₂(D₂₀.₂C₄) = C₄₀.₃₅D₆	φ: D₂₀.₂C₄/C₈⋊D₅ → C₂ ⊆ Aut C₃	240	4	C3:2(D20.2C4)	480,344
C₃⋊₃(D₂₀.₂C₄) = D₆₀.₅C₄	φ: D₂₀.₂C₄/C₂×C₅⋊₂C₈ → C₂ ⊆ Aut C₃	240	4	C3:3(D20.2C4)	480,366
C₃⋊₄(D₂₀.₂C₄) = D₆₀.₃C₄	φ: D₂₀.₂C₄/C₅×M₄(2) → C₂ ⊆ Aut C₃	240	4	C3:4(D20.2C4)	480,872
C₃⋊₅(D₂₀.₂C₄) = D₂₀.₂Dic₃	φ: D₂₀.₂C₄/C₄○D₂₀ → C₂ ⊆ Aut C₃	240	4	C3:5(D20.2C4)	480,360

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