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

Direct product G=N×Q with N=He₃.C₃ and Q=S₃

		d	ρ	Label	ID
S₃×He₃.C₃		54	6	S3xHe3.C3	486,120

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.C₃⋊₁S₃ = He₃.(C₃⋊S₃)	φ: S₃/C₃ → C₂ ⊆ Out He₃.C₃	81		He3.C3:1S3	486,186
He₃.C₃⋊₂S₃ = C₃≀C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃.C₃	27	6+	He3.C3:2S3	486,189
He₃.C₃⋊₃S₃ = C₃²⋊₄D₉⋊C₃	φ: S₃/C₃ → C₂ ⊆ Out He₃.C₃	81		He3.C3:3S3	486,170
He₃.C₃⋊₄S₃ = C₃≀C₃.S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃.C₃	27	6+	He3.C3:4S3	486,175
He₃.C₃⋊₅S₃ = He₃.C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out He₃.C₃	54	6	He3.C3:5S3	486,169

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