Extensions 1→N→G→Q→1 with N=Dic₃ and Q=S₃

Direct product G=N×Q with N=Dic₃ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₃		24	4-	S3xDic3	72,20

Semidirect products G=N:Q with N=Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊S₃ = C₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₃	12	4+	Dic3:S3	72,23
Dic₃⋊₂S₃ = C₆.D₆	φ: trivial image	12	4+	Dic3:2S3	72,21

Non-split extensions G=N.Q with N=Dic₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.S₃ = C₃²⋊₂Q₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₃	24	4-	Dic3.S3	72,24

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Extensions 1→N→G→Q→1 with N=Dic3 and Q=S3