Extensions 1→N→G→Q→1 with N=C₃×C₃²⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₃×C₃²⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₆×C₃²⋊C₆		36	6	C6xC3^2:C6	324,138

Semidirect products G=N:Q with N=C₃×C₃²⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₃²⋊C₆)⋊₁C₂ = S₃×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₆	18	12+	(C3xC3^2:C6):1C2	324,116
(C₃×C₃²⋊C₆)⋊₂C₂ = C₃×C₃²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₆	18	6	(C3xC3^2:C6):2C2	324,117
(C₃×C₃²⋊C₆)⋊₃C₂ = He₃⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₃²⋊C₆	18	12+	(C3xC3^2:C6):3C2	324,121

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