Extensions 1→N→G→Q→1 with N=D₆⋊S₃ and Q=S₃

Direct product G=N×Q with N=D₆⋊S₃ and Q=S₃

		d	ρ	Label	ID
S₃×D₆⋊S₃		48	8-	S3xD6:S3	432,597

Semidirect products G=N:Q with N=D₆⋊S₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊S₃⋊₁S₃ = C₃³⋊D₈	φ: S₃/C₃ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3:1S3	432,582
D₆⋊S₃⋊₂S₃ = D₆⋊₄S₃²	φ: S₃/C₃ → C₂ ⊆ Out D₆⋊S₃	24	8+	D6:S3:2S3	432,599
D₆⋊S₃⋊₃S₃ = (S₃×C₆)⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out D₆⋊S₃	24	8+	D6:S3:3S3	432,601
D₆⋊S₃⋊₄S₃ = D₆.₄S₃²	φ: S₃/C₃ → C₂ ⊆ Out D₆⋊S₃	48	8-	D6:S3:4S3	432,608
D₆⋊S₃⋊₅S₃ = D₆⋊S₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₆⋊S₃	48	8-	D6:S3:5S3	432,610
D₆⋊S₃⋊₆S₃ = (S₃×C₆).D₆	φ: trivial image	24	8+	D6:S3:6S3	432,606

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊S₃.S₃ = C₃³⋊₇SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out D₆⋊S₃	24	4	D6:S3.S3	432,584

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