Extensions 1→N→G→Q→1 with N=S₃×C₃×C₆ and Q=C₃

Direct product G=N×Q with N=S₃×C₃×C₆ and Q=C₃

		d	ρ	Label	ID
S₃×C₃²×C₆		108		S3xC3^2xC6	324,172

Semidirect products G=N:Q with N=S₃×C₃×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃×C₆)⋊C₃ = C₂×S₃×He₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₆	36	6	(S3xC3xC6):C3	324,139

Non-split extensions G=N.Q with N=S₃×C₃×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃×C₆).C₃ = C₂×S₃×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₆	36	6	(S3xC3xC6).C3	324,141
(S₃×C₃×C₆).₂C₃ = S₃×C₃×C₁₈	φ: trivial image	108		(S3xC3xC6).2C3	324,137

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Extensions 1→N→G→Q→1 with N=S3×C3×C6 and Q=C3