Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xD₂₀

Direct product G=NxQ with N=C₃ and Q=C₃xD₂₀

		d	ρ	Label	ID
C₃²xD₂₀		180		C3^2xD20	360,92

Semidirect products G=N:Q with N=C₃ and Q=C₃xD₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xD₂₀) = C₃xD₆₀	φ: C₃xD₂₀/C₆₀ → C₂ ⊆ Aut C₃	120	2	C3:1(C3xD20)	360,102
C₃:₂(C₃xD₂₀) = C₃xC₃:D₂₀	φ: C₃xD₂₀/C₆xD₅ → C₂ ⊆ Aut C₃	60	4	C3:2(C3xD20)	360,62

Non-split extensions G=N.Q with N=C₃ and Q=C₃xD₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xD₂₀) = C₉xD₂₀	central extension (φ=1)	180	2	C3.(C3xD20)	360,17

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xD20