Extensions 1→N→G→Q→1 with N=C₃×D₉ and Q=C₆

Direct product G=N×Q with N=C₃×D₉ and Q=C₆

		d	ρ	Label	ID
D₉×C₃×C₆		108		D9xC3xC6	324,136

Semidirect products G=N:Q with N=C₃×D₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₉)⋊C₆ = S₃×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out C₃×D₉	18	12+	(C3xD9):C6	324,118
(C₃×D₉)⋊₂C₆ = C₆×C₉⋊C₆	φ: C₆/C₂ → C₃ ⊆ Out C₃×D₉	36	6	(C3xD9):2C6	324,140
(C₃×D₉)⋊₃C₆ = C₃×S₃×D₉	φ: C₆/C₃ → C₂ ⊆ Out C₃×D₉	36	4	(C3xD9):3C6	324,114

Non-split extensions G=N.Q with N=C₃×D₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₉).C₆ = C₂×C₉⋊C₁₈	φ: C₆/C₂ → C₃ ⊆ Out C₃×D₉	36	6	(C3xD9).C6	324,64
(C₃×D₉).₂C₆ = D₉×C₁₈	φ: trivial image	36	2	(C3xD9).2C6	324,61

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Extensions 1→N→G→Q→1 with N=C3×D9 and Q=C6