Extensions 1→N→G→Q→1 with N=C₃×C₃²⋊C₆ and Q=C₃

Direct product G=N×Q with N=C₃×C₃²⋊C₆ and Q=C₃

		d	ρ	Label	ID
C₃²×C₃²⋊C₆		54		C3^2xC3^2:C6	486,222

Semidirect products G=N:Q with N=C₃×C₃²⋊C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₆)⋊C₃ = C₃⁴⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₃²⋊C₆	18	6	(C3xC3^2:C6):C3	486,102

Non-split extensions G=N.Q with N=C₃×C₃²⋊C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₆).C₃ = C₉⋊He₃⋊C₂	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₃²⋊C₆	54	6	(C3xC3^2:C6).C3	486,107
(C₃×C₃²⋊C₆).₂C₃ = C₉×C₃²⋊C₆	φ: trivial image	54	6	(C3xC3^2:C6).2C3	486,98

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Extensions 1→N→G→Q→1 with N=C3×C32⋊C6 and Q=C3