Extensions 1→N→G→Q→1 with N=3_-¹⁺² and Q=C₃⋊S₃

Direct product G=N×Q with N=3_-¹⁺² and Q=C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×3_-¹⁺²		54		C3:S3xES-(3,1)	486,233

Semidirect products G=N:Q with N=3_-¹⁺² and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺²⋊₁(C₃⋊S₃) = C₃⁴⋊₇S₃	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out 3_-¹⁺²	27		ES-(3,1):1(C3:S3)	486,185
3_-¹⁺²⋊₂(C₃⋊S₃) = He₃.(C₃⋊S₃)	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out 3_-¹⁺²	81		ES-(3,1):2(C3:S3)	486,186
3_-¹⁺²⋊₃(C₃⋊S₃) = C₃⁴.₁₁S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out 3_-¹⁺²	81		ES-(3,1):3(C3:S3)	486,244
3_-¹⁺²⋊₄(C₃⋊S₃) = C₉○He₃⋊₃S₃	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out 3_-¹⁺²	81		ES-(3,1):4(C3:S3)	486,245

Non-split extensions G=N.Q with N=3_-¹⁺² and Q=C₃⋊S₃

extension	φ:Q→Out N	d	ρ	Label	ID
3_-¹⁺².₁(C₃⋊S₃) = (C₃²×C₉).S₃	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out 3_-¹⁺²	81		ES-(3,1).1(C3:S3)	486,188
3_-¹⁺².₂(C₃⋊S₃) = C₃≀C₃⋊S₃	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out 3_-¹⁺²	27	6+	ES-(3,1).2(C3:S3)	486,189
3_-¹⁺².₃(C₃⋊S₃) = 3_-¹⁺⁴⋊₂C₂	φ: trivial image	27	9	ES-(3,1).3(C3:S3)	486,239

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