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

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

		d	ρ	Label	ID
S₃×D₁₂		24	4+	S3xD12	144,144

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁S₃ = C₃⋊D₂₄	φ: S₃/C₃ → C₂ ⊆ Out D₁₂	24	4+	D12:1S3	144,57
D₁₂⋊₂S₃ = C₃²⋊₂D₈	φ: S₃/C₃ → C₂ ⊆ Out D₁₂	48	4	D12:2S3	144,56
D₁₂⋊₃S₃ = D₁₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₁₂	24	4	D12:3S3	144,139
D₁₂⋊₄S₃ = D₆⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out D₁₂	24	4	D12:4S3	144,145
D₁₂⋊₅S₃ = D₁₂⋊₅S₃	φ: trivial image	48	4-	D12:5S3	144,138

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁S₃ = D₁₂.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₁₂	48	4-	D12.1S3	144,59
D₁₂.₂S₃ = Dic₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₁₂	48	4	D12.2S3	144,58

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