Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₂₀

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

		d	ρ	Label	ID
C₃²×D₂₀		180		C3^2xD20	360,92

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×D₂₀) = C₃×D₆₀	φ: C₃×D₂₀/C₆₀ → C₂ ⊆ Aut C₃	120	2	C3:1(C3xD20)	360,102
C₃⋊₂(C₃×D₂₀) = C₃×C₃⋊D₂₀	φ: C₃×D₂₀/C₆×D₅ → C₂ ⊆ Aut C₃	60	4	C3:2(C3xD20)	360,62

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×D₂₀) = C₉×D₂₀	central extension (φ=1)	180	2	C3.(C3xD20)	360,17

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D20