Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₂₀⋊D₄

		d	ρ	Label	ID
C₃×C₂₀⋊D₄		240		C3xC20:D4	480,733

Semidirect products G=N:Q with N=C₃ and Q=C₂₀⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀⋊D₄) = C₂₀⋊D₁₂	φ: C₂₀⋊D₄/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C20:D4)	480,527
C₃⋊₂(C₂₀⋊D₄) = C₆₀⋊₁₀D₄	φ: C₂₀⋊D₄/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:2(C20:D4)	480,539
C₃⋊₃(C₂₀⋊D₄) = Dic₁₅⋊₅D₄	φ: C₂₀⋊D₄/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:3(C20:D4)	480,643
C₃⋊₄(C₂₀⋊D₄) = C₆₀⋊₃D₄	φ: C₂₀⋊D₄/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:4(C20:D4)	480,905

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