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

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

		d	ρ	Label	ID
C₃×He₃⋊S₃		54	6	C3xHe3:S3	486,171

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊S₃⋊₁C₃ = C₉²⋊S₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊S₃	27	6+	He3:S3:1C3	486,36
He₃⋊S₃⋊₂C₃ = He₃⋊(C₃×S₃)	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊S₃	27	18+	He3:S3:2C3	486,178

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊S₃.C₃ = C₉⋊C₉⋊S₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊S₃	27	18+	He3:S3.C3	486,41

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