Extensions 1→N→G→Q→1 with N=C₃² and Q=D₂₀

Direct product G=N×Q with N=C₃² and Q=D₂₀

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

Semidirect products G=N:Q with N=C₃² and Q=D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊D₂₀ = C₃²⋊D₂₀	φ: D₂₀/C₅ → D₄ ⊆ Aut C₃²	30	8+	C3^2:D20	360,134
C₃²⋊₂D₂₀ = C₃⋊D₆₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₃²	60	4+	C3^2:2D20	360,81
C₃²⋊₃D₂₀ = C₃²⋊₃D₂₀	φ: D₂₀/C₁₀ → C₂² ⊆ Aut C₃²	120	4	C3^2:3D20	360,87
C₃²⋊₄D₂₀ = C₃×D₆₀	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₃²	120	2	C3^2:4D20	360,102
C₃²⋊₅D₂₀ = C₆₀⋊S₃	φ: D₂₀/C₂₀ → C₂ ⊆ Aut C₃²	180		C3^2:5D20	360,112
C₃²⋊₆D₂₀ = C₃×C₃⋊D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₃²	60	4	C3^2:6D20	360,62
C₃²⋊₇D₂₀ = C₃²⋊₇D₂₀	φ: D₂₀/D₁₀ → C₂ ⊆ Aut C₃²	180		C3^2:7D20	360,69

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