Extensions 1→N→G→Q→1 with N=C₆.D₆ and Q=S₃

Direct product G=N×Q with N=C₆.D₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₆.D₆		24	8+	S3xC6.D6	432,595

Semidirect products G=N:Q with N=C₆.D₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆⋊₁S₃ = C₃⋊S₃⋊₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₆.D₆	24	8+	C6.D6:1S3	432,602
C₆.D₆⋊₂S₃ = D₆.S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₆.D₆	48	8-	C6.D6:2S3	432,607
C₆.D₆⋊₃S₃ = Dic₃.S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₆.D₆	24	8+	C6.D6:3S3	432,612
C₆.D₆⋊₄S₃ = C₃⋊S₃.₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₆.D₆	24	4	C6.D6:4S3	432,579
C₆.D₆⋊₅S₃ = Dic₃⋊₆S₃²	φ: trivial image	48	8-	C6.D6:5S3	432,596

Non-split extensions G=N.Q with N=C₆.D₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₆.D₆.₁S₃ = C₃³⋊₅(C₂×Q₈)	φ: S₃/C₃ → C₂ ⊆ Out C₆.D₆	48	8-	C6.D6.1S3	432,604
C₆.D₆.₂S₃ = C₃³⋊C₄⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₆.D₆	48	4	C6.D6.2S3	432,581

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