Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=S₃

Direct product G=N×Q with N=Dic₁₃ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₁₃		156	4-	S3xDic13	312,16

Semidirect products G=N:Q with N=Dic₁₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃⋊S₃ = C₁₃⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₃	156	4+	Dic13:S3	312,20
Dic₁₃⋊₂S₃ = D₇₈.C₂	φ: trivial image	156	4+	Dic13:2S3	312,17

Non-split extensions G=N.Q with N=Dic₁₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁S₃ = C₃₉⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₃	312	4-	Dic13.1S3	312,21
Dic₁₃.₂S₃ = C₃₉⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₃	312	4	Dic13.2S3	312,14

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Extensions 1→N→G→Q→1 with N=Dic13 and Q=S3