Extensions 1→N→G→Q→1 with N=C₃×C₃⋊S₄ and Q=C₂

Direct product G=N×Q with N=C₃×C₃⋊S₄ and Q=C₂

		d	ρ	Label	ID
C₆×C₃⋊S₄		36	6	C6xC3:S4	432,761

Semidirect products G=N:Q with N=C₃×C₃⋊S₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃⋊S₄)⋊₁C₂ = S₃×C₃⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊S₄	24	12+	(C3xC3:S4):1C2	432,747
(C₃×C₃⋊S₄)⋊₂C₂ = C₆²⋊₁₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊S₄	24	12+	(C3xC3:S4):2C2	432,748
(C₃×C₃⋊S₄)⋊₃C₂ = C₃×S₃×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃⋊S₄	24	6	(C3xC3:S4):3C2	432,745

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁