Extensions 1→N→G→Q→1 with N=C₃×S₃ and Q=D₁₂

Direct product G=N×Q with N=C₃×S₃ and Q=D₁₂

		d	ρ	Label	ID
C₃×S₃×D₁₂		48	4	C3xS3xD12	432,649

Semidirect products G=N:Q with N=C₃×S₃ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃)⋊₁D₁₂ = S₃×C₁₂⋊S₃	φ: D₁₂/C₁₂ → C₂ ⊆ Out C₃×S₃	72		(C3xS3):1D12	432,671
(C₃×S₃)⋊₂D₁₂ = S₃×C₃⋊D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out C₃×S₃	24	8+	(C3xS3):2D12	432,598

Non-split extensions G=N.Q with N=C₃×S₃ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃).D₁₂ = S₃×D₃₆	φ: D₁₂/C₁₂ → C₂ ⊆ Out C₃×S₃	72	4+	(C3xS3).D12	432,291

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3×S3 and Q=D12