Extensions 1→N→G→Q→1 with N=C₃² and Q=D₁₀

Direct product G=N×Q with N=C₃² and Q=D₁₀

		d	ρ	Label	ID
D₅×C₃×C₆		90		D5xC3xC6	180,32

Semidirect products G=N:Q with N=C₃² and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁D₁₀ = S₃×D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₃²	30	4+	C3^2:1D10	180,29
C₃²⋊₂D₁₀ = D₁₅⋊S₃	φ: D₁₀/C₅ → C₂² ⊆ Aut C₃²	30	4	C3^2:2D10	180,30
C₃²⋊₃D₁₀ = C₃×S₃×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₃²	30	4	C3^2:3D10	180,26
C₃²⋊₄D₁₀ = D₅×C₃⋊S₃	φ: D₁₀/D₅ → C₂ ⊆ Aut C₃²	45		C3^2:4D10	180,27
C₃²⋊₅D₁₀ = C₆×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₃²	60	2	C3^2:5D10	180,34
C₃²⋊₆D₁₀ = C₂×C₃⋊D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₃²	90		C3^2:6D10	180,36

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