Extensions 1→N→G→Q→1 with N=S₃×C₃² and Q=C₃

Direct product G=N×Q with N=S₃×C₃² and Q=C₃

		d	ρ	Label	ID
S₃×C₃³		54		S3xC3^3	162,51

Semidirect products G=N:Q with N=S₃×C₃² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²)⋊C₃ = S₃×He₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃²	18	6	(S3xC3^2):C3	162,35

Non-split extensions G=N.Q with N=S₃×C₃² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²).C₃ = S₃×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃²	18	6	(S3xC3^2).C3	162,37
(S₃×C₃²).₂C₃ = S₃×C₃×C₉	φ: trivial image	54		(S3xC3^2).2C3	162,33

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Extensions 1→N→G→Q→1 with N=S3×C32 and Q=C3