Extensions 1→N→G→Q→1 with N=Dic₁₉ and Q=S₃

Direct product G=N×Q with N=Dic₁₉ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₁₉		228	4-	S3xDic19	456,13

Semidirect products G=N:Q with N=Dic₁₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₉⋊S₃ = C₁₉⋊D₁₂	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₉	228	4+	Dic19:S3	456,17
Dic₁₉⋊₂S₃ = D₅₇⋊C₄	φ: trivial image	228	4+	Dic19:2S3	456,14

Non-split extensions G=N.Q with N=Dic₁₉ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₉.S₃ = C₅₇⋊Q₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₉	456	4-	Dic19.S3	456,18

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Extensions 1→N→G→Q→1 with N=Dic19 and Q=S3