Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂².D₂₀

Direct product G=N×Q with N=C₃ and Q=C₂².D₂₀

		d	ρ	Label	ID
C₃×C₂².D₂₀		240		C3xC2^2.D20	480,679

Semidirect products G=N:Q with N=C₃ and Q=C₂².D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂².D₂₀) = D₆.D₂₀	φ: C₂².D₂₀/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C2^2.D20)	480,503
C₃⋊₂(C₂².D₂₀) = D₆.₉D₂₀	φ: C₂².D₂₀/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C2^2.D20)	480,533
C₃⋊₃(C₂².D₂₀) = C₂².D₆₀	φ: C₂².D₂₀/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(C2^2.D20)	480,851
C₃⋊₄(C₂².D₂₀) = C₆.D₄⋊D₅	φ: C₂².D₂₀/C₂²×Dic₅ → C₂ ⊆ Aut C₃	240		C3:4(C2^2.D20)	480,622
C₃⋊₅(C₂².D₂₀) = C₆.(C₂×D₂₀)	φ: C₂².D₂₀/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:5(C2^2.D20)	480,613

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