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
C₂×C₆×D₂₀		240		C2xC6xD20	480,1137

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) = C₂×S₃×D₂₀	φ: C₂²×D₂₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	120		C3:1(C2^2xD20)	480,1088
C₃⋊₂(C₂²×D₂₀) = C₂²×D₆₀	φ: C₂²×D₂₀/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:2(C2^2xD20)	480,1167
C₃⋊₃(C₂²×D₂₀) = C₂²×C₃⋊D₂₀	φ: C₂²×D₂₀/C₂³×D₅ → C₂ ⊆ Aut C₃	240		C3:3(C2^2xD20)	480,1119

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