Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀⋊₂D₄

Direct product G=N×Q with N=C₃ and Q=C₂₀⋊₂D₄

		d	ρ	Label	ID
C₃×C₂₀⋊₂D₄		240		C3xC20:2D4	480,731

Semidirect products G=N:Q with N=C₃ and Q=C₂₀⋊₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀⋊₂D₄) = C₂₀⋊₂D₁₂	φ: C₂₀⋊₂D₄/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C20:2D4)	480,542
C₃⋊₂(C₂₀⋊₂D₄) = D₃₀⋊₇D₄	φ: C₂₀⋊₂D₄/C₂³.D₅ → C₂ ⊆ Aut C₃	240		C3:2(C20:2D4)	480,633
C₃⋊₃(C₂₀⋊₂D₄) = C₆₀⋊D₄	φ: C₂₀⋊₂D₄/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:3(C20:2D4)	480,525
C₃⋊₄(C₂₀⋊₂D₄) = (C₆×D₅)⋊D₄	φ: C₂₀⋊₂D₄/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:4(C20:2D4)	480,625
C₃⋊₅(C₂₀⋊₂D₄) = C₆₀⋊₂D₄	φ: C₂₀⋊₂D₄/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:5(C20:2D4)	480,903

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