Extensions 1→N→G→Q→1 with N=Dic₁₈ and Q=S₃

Direct product G=N×Q with N=Dic₁₈ and Q=S₃

		d	ρ	Label	ID
S₃×Dic₁₈		144	4-	S3xDic18	432,284

Semidirect products G=N:Q with N=Dic₁₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈⋊₁S₃ = C₆.D₃₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₈	72	4+	Dic18:1S3	432,63
Dic₁₈⋊₂S₃ = D₁₂.D₉	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₈	144	4	Dic18:2S3	432,70
Dic₁₈⋊₃S₃ = Dic₁₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₈	72	4	Dic18:3S3	432,283
Dic₁₈⋊₄S₃ = D₁₂⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₈	72	4	Dic18:4S3	432,286
Dic₁₈⋊₅S₃ = Dic₉.D₆	φ: trivial image	72	4+	Dic18:5S3	432,289

Non-split extensions G=N.Q with N=Dic₁₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₈.₁S₃ = C₃⋊Dic₃₆	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₈	144	4-	Dic18.1S3	432,65
Dic₁₈.₂S₃ = C₁₂.D₁₈	φ: S₃/C₃ → C₂ ⊆ Out Dic₁₈	144	4	Dic18.2S3	432,74

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