Extensions 1→N→G→Q→1 with N=C₃² and Q=C₄₀

Direct product G=N×Q with N=C₃² and Q=C₄₀

		d	ρ	Label	ID
C₃×C₁₂₀		360		C3xC120	360,38

Semidirect products G=N:Q with N=C₃² and Q=C₄₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₄₀ = C₅×F₉	φ: C₄₀/C₅ → C₈ ⊆ Aut C₃²	45	8	C3^2:C40	360,123
C₃²⋊₂C₄₀ = C₅×C₃²⋊₂C₈	φ: C₄₀/C₁₀ → C₄ ⊆ Aut C₃²	120	4	C3^2:2C40	360,55
C₃²⋊₃C₄₀ = C₁₅×C₃⋊C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₃²	120	2	C3^2:3C40	360,34
C₃²⋊₄C₄₀ = C₅×C₃²⋊₄C₈	φ: C₄₀/C₂₀ → C₂ ⊆ Aut C₃²	360		C3^2:4C40	360,36

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