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		72		C3:S3xD12	432,672

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊D₁₂ = C₃⋊S₃⋊D₁₂	φ: D₁₂/C₄ → S₃ ⊆ Out C₃⋊S₃	36	12+	C3:S3:D12	432,301
C₃⋊S₃⋊₂D₁₂ = C₂×C₃²⋊₂D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out C₃⋊S₃	24	8+	C3:S3:2D12	432,756
C₃⋊S₃⋊₃D₁₂ = C₁₂⋊₃S₃²	φ: D₁₂/C₁₂ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:3D12	432,691
C₃⋊S₃⋊₄D₁₂ = C₃⋊S₃⋊₄D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out C₃⋊S₃	24	8+	C3:S3:4D12	432,602

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 = F₉⋊S₃	φ: D₁₂/C₃ → D₄ ⊆ Out C₃⋊S₃	24	16+	C3:S3.D12	432,740
C₃⋊S₃.₂D₁₂ = C₃⋊S₃.₂D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out C₃⋊S₃	24	4	C3:S3.2D12	432,579
C₃⋊S₃.₃D₁₂ = C₆.₂PSU₃(𝔽₂)	φ: D₁₂/C₆ → C₂² ⊆ Out C₃⋊S₃	48	8	C3:S3.3D12	432,593
C₃⋊S₃.₄D₁₂ = C₃³⋊₉(C₄⋊C₄)	φ: D₁₂/C₁₂ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3.4D12	432,638
C₃⋊S₃.₅D₁₂ = D₆⋊(C₃²⋊C₄)	φ: D₁₂/D₆ → C₂ ⊆ Out C₃⋊S₃	24	8+	C3:S3.5D12	432,568

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