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

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

		d	ρ	Label	ID
D₄×C₆₀		240		D4xC60	480,923

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄×C₂₀) = C₂₀×D₁₂	φ: D₄×C₂₀/C₄×C₂₀ → C₂ ⊆ Aut C₃	240		C3:1(D4xC20)	480,752
C₃⋊₂(D₄×C₂₀) = C₅×Dic₃⋊₄D₄	φ: D₄×C₂₀/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(D4xC20)	480,760
C₃⋊₃(D₄×C₂₀) = C₅×Dic₃⋊₅D₄	φ: D₄×C₂₀/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(D4xC20)	480,772
C₃⋊₄(D₄×C₂₀) = C₂₀×C₃⋊D₄	φ: D₄×C₂₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:4(D4xC20)	480,807
C₃⋊₅(D₄×C₂₀) = C₅×D₄×Dic₃	φ: D₄×C₂₀/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:5(D4xC20)	480,813

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