Extensions 1→N→G→Q→1 with N=C₃×C₉⋊C₆ and Q=C₃

Direct product G=N×Q with N=C₃×C₉⋊C₆ and Q=C₃

		d	ρ	Label	ID
C₃²×C₉⋊C₆		54		C3^2xC9:C6	486,224

Semidirect products G=N:Q with N=C₃×C₉⋊C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₉⋊C₆)⋊C₃ = D₉⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊C₆	54	6	(C3xC9:C6):C3	486,106

Non-split extensions G=N.Q with N=C₃×C₉⋊C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₉⋊C₆).₁C₃ = C₉²⋊₇C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊C₆	54	6	(C3xC9:C6).1C3	486,109
(C₃×C₉⋊C₆).₂C₃ = C₉²⋊₈C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊C₆	18	6	(C3xC9:C6).2C3	486,110
(C₃×C₉⋊C₆).₃C₃ = C₉×C₉⋊C₆	φ: trivial image	54	6	(C3xC9:C6).3C3	486,100

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Extensions 1→N→G→Q→1 with N=C3×C9⋊C6 and Q=C3