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
C₃×C₃⋊D₂₀		60	4	C3xC3:D20	360,62

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/C₅×Dic₃ → C₂ ⊆ Aut C₃	60	4+	C3:1(C3:D20)	360,81
C₃⋊₂(C₃⋊D₂₀) = C₃²⋊₇D₂₀	φ: C₃⋊D₂₀/C₆×D₅ → C₂ ⊆ Aut C₃	180		C3:2(C3:D20)	360,69
C₃⋊₃(C₃⋊D₂₀) = C₃²⋊₃D₂₀	φ: C₃⋊D₂₀/D₃₀ → C₂ ⊆ Aut C₃	120	4	C3:3(C3:D20)	360,87

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	φ: C₃⋊D₂₀/C₆×D₅ → C₂ ⊆ Aut C₃	180	4+	C3.(C3:D20)	360,13

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