Extensions 1→N→G→Q→1 with N=He₃:C₃ and Q=S₃

Direct product G=NxQ with N=He₃:C₃ and Q=S₃

		d	ρ	Label	ID
S₃xHe₃:C₃		54	6	S3xHe3:C3	486,123

Semidirect products G=N:Q with N=He₃:C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₃:S₃ = C₉²:₂S₃	φ: S₃/C₁ → S₃ ⊆ Out He₃:C₃	27	3	He3:C3:S3	486,61
He₃:C₃:₂S₃ = He₃:C₃:₂S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃:C₃	54	6	He3:C3:2S3	486,172
He₃:C₃:₃S₃ = He₃:C₃:₃S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃:C₃	81		He3:C3:3S3	486,173
He₃:C₃:₄S₃ = C₃wrC₃.S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃:C₃	27	6+	He3:C3:4S3	486,175
He₃:C₃:₅S₃ = C₃:(He₃:S₃)	φ: S₃/C₃ → C₂ ⊆ Out He₃:C₃	81		He3:C3:5S3	486,187
He₃:C₃:₆S₃ = C₃wrC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃:C₃	27	6+	He3:C3:6S3	486,189

Non-split extensions G=N.Q with N=He₃:C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₃.₁S₃ = C₉²:C₆	φ: S₃/C₁ → S₃ ⊆ Out He₃:C₃	27	6+	He3:C3.1S3	486,35
He₃:C₃.₂S₃ = C₉²:₂C₆	φ: S₃/C₁ → S₃ ⊆ Out He₃:C₃	27	6+	He3:C3.2S3	486,37

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