Extensions 1→N→G→Q→1 with N=S₃×C₉ and Q=C₆

Direct product G=N×Q with N=S₃×C₉ and Q=C₆

		d	ρ	Label	ID
S₃×C₃×C₁₈		108		S3xC3xC18	324,137

Semidirect products G=N:Q with N=S₃×C₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₉)⋊C₆ = S₃×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out S₃×C₉	18	12+	(S3xC9):C6	324,118
(S₃×C₉)⋊₂C₆ = C₂×S₃×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out S₃×C₉	36	6	(S3xC9):2C6	324,141
(S₃×C₉)⋊₃C₆ = C₃×S₃×D₉	φ: C₆/C₃ → C₂ ⊆ Out S₃×C₉	36	4	(S3xC9):3C6	324,114

Non-split extensions G=N.Q with N=S₃×C₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₉).C₆ = S₃×C₅₄	φ: trivial image	108	2	(S3xC9).C6	324,66

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Extensions 1→N→G→Q→1 with N=S3×C9 and Q=C6