Extensions 1→N→G→Q→1 with N=Dic₆ and Q=S₃

Direct product G=N×Q with N=Dic₆ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₆		48	4-	S3xDic6	144,137

Semidirect products G=N:Q with N=Dic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁S₃ = C₃²⋊₅SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₆	24	4+	Dic6:1S3	144,60
Dic₆⋊₂S₃ = Dic₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₆	48	4	Dic6:2S3	144,58
Dic₆⋊₃S₃ = D₁₂⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₆	24	4	Dic6:3S3	144,139
Dic₆⋊₄S₃ = Dic₃.D₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₆	24	4	Dic6:4S3	144,140
Dic₆⋊₅S₃ = D₆.₆D₆	φ: trivial image	24	4+	Dic6:5S3	144,142

Non-split extensions G=N.Q with N=Dic₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁S₃ = C₃²⋊₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₆	48	4-	Dic6.1S3	144,62
Dic₆.₂S₃ = C₃²⋊₂Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₆	48	4	Dic6.2S3	144,61

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