Extensions 1→N→G→Q→1 with N=S₃×C₃² and Q=C₆

Direct product G=N×Q with N=S₃×C₃² and Q=C₆

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

Semidirect products G=N:Q with N=S₃×C₃² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²)⋊C₆ = S₃×C₃²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out S₃×C₃²	18	12+	(S3xC3^2):C6	324,116
(S₃×C₃²)⋊₂C₆ = C₂×S₃×He₃	φ: C₆/C₂ → C₃ ⊆ Out S₃×C₃²	36	6	(S3xC3^2):2C6	324,139
(S₃×C₃²)⋊₃C₆ = S₃²×C₃²	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₃²	36		(S3xC3^2):3C6	324,165
(S₃×C₃²)⋊₄C₆ = C₃×S₃×C₃⋊S₃	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₃²	36		(S3xC3^2):4C6	324,166

Non-split extensions G=N.Q with N=S₃×C₃² and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²).C₆ = C₂×S₃×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out S₃×C₃²	36	6	(S3xC3^2).C6	324,141
(S₃×C₃²).₂C₆ = S₃²×C₉	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₃²	36	4	(S3xC3^2).2C6	324,115
(S₃×C₃²).₃C₆ = S₃×C₃×C₁₈	φ: trivial image	108		(S3xC3^2).3C6	324,137

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