Extensions 1→N→G→Q→1 with N=C₃² and Q=C₂₀

Direct product G=N×Q with N=C₃² and Q=C₂₀

		d	ρ	Label	ID
C₃×C₆₀		180		C3xC60	180,18

Semidirect products G=N:Q with N=C₃² and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₂₀ = C₅×C₃²⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₃²	30	4	C3^2:C20	180,23
C₃²⋊₂C₂₀ = Dic₃×C₁₅	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₃²	60	2	C3^2:2C20	180,14
C₃²⋊₃C₂₀ = C₅×C₃⋊Dic₃	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₃²	180		C3^2:3C20	180,16

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁