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

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

		d	ρ	Label	ID
S₃×C₃⋊D₁₂		24	8+	S3xC3:D12	432,598

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₁₂⋊₁S₃ = C₃⋊S₃⋊₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₁₂	24	8+	C3:D12:1S3	432,602
C₃⋊D₁₂⋊₂S₃ = D₆.₄S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₁₂	48	8-	C3:D12:2S3	432,608
C₃⋊D₁₂⋊₃S₃ = D₆⋊S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₁₂	48	8-	C3:D12:3S3	432,600
C₃⋊D₁₂⋊₄S₃ = (S₃×C₆)⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₁₂	24	8+	C3:D12:4S3	432,601
C₃⋊D₁₂⋊₅S₃ = D₆.₃S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₁₂	24	8+	C3:D12:5S3	432,609
C₃⋊D₁₂⋊₆S₃ = D₆.₆S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊D₁₂	48	8-	C3:D12:6S3	432,611
C₃⋊D₁₂⋊₇S₃ = D₆.S₃²	φ: trivial image	48	8-	C3:D12:7S3	432,607

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