Extensions 1→N→G→Q→1 with N=C₃³.S₃ and Q=C₃

Direct product G=N×Q with N=C₃³.S₃ and Q=C₃

		d	ρ	Label	ID
C₃×C₃³.S₃		54		C3xC3^3.S3	486,232

Semidirect products G=N:Q with N=C₃³.S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³.S₃⋊₁C₃ = C₃⁴.S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃³.S₃	27		C3^3.S3:1C3	486,105
C₃³.S₃⋊₂C₃ = C₉⋊S₃⋊C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃³.S₃	27	18+	C3^3.S3:2C3	486,129
C₃³.S₃⋊₃C₃ = He₃.(C₃×S₃)	φ: C₃/C₁ → C₃ ⊆ Out C₃³.S₃	27	18+	C3^3.S3:3C3	486,131
C₃³.S₃⋊₄C₃ = 3_-¹⁺⁴⋊C₂	φ: C₃/C₁ → C₃ ⊆ Out C₃³.S₃	27	18+	C3^3.S3:4C3	486,238

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