Extensions 1→N→G→Q→1 with N=C₃²⋊₂D₉ and Q=C₃

Direct product G=N×Q with N=C₃²⋊₂D₉ and Q=C₃

		d	ρ	Label	ID
C₃×C₃²⋊₂D₉		54		C3xC3^2:2D9	486,135

Semidirect products G=N:Q with N=C₃²⋊₂D₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂D₉⋊₁C₃ = C₃²⋊C₉.S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	18	6	C3^2:2D9:1C3	486,5
C₃²⋊₂D₉⋊₂C₃ = C₃²⋊C₉⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	18	6	C3^2:2D9:2C3	486,6
C₃²⋊₂D₉⋊₃C₃ = C₃.₃C₃≀S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9:3C3	486,8
C₃²⋊₂D₉⋊₄C₃ = C₃³⋊₁D₉	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	18	6	C3^2:2D9:4C3	486,19
C₃²⋊₂D₉⋊₅C₃ = C₃⁴.₇S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	18	6	C3^2:2D9:5C3	486,147
C₃²⋊₂D₉⋊₆C₃ = (C₃²×C₉)⋊S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9:6C3	486,149

Non-split extensions G=N.Q with N=C₃²⋊₂D₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂D₉.₁C₃ = C₃²⋊C₉.C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.1C3	486,10
C₃²⋊₂D₉.₂C₃ = C₃³.(C₃×S₃)	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.2C3	486,11
C₃²⋊₂D₉.₃C₃ = C₃²⋊₂D₉.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.3C3	486,12
C₃²⋊₂D₉.₄C₃ = (C₃×C₉)⋊D₉	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.4C3	486,21
C₃²⋊₂D₉.₅C₃ = (C₃×C₉)⋊₃D₉	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.5C3	486,23
C₃²⋊₂D₉.₆C₃ = C₉⋊C₉⋊₂S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.6C3	486,152
C₃²⋊₂D₉.₇C₃ = C₉²⋊₆S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	18	6	C3^2:2D9.7C3	486,153
C₃²⋊₂D₉.₈C₃ = C₉²⋊₅S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊₂D₉	54	6	C3^2:2D9.8C3	486,156
C₃²⋊₂D₉.₉C₃ = C₉²⋊₄S₃	φ: trivial image	54	6	C3^2:2D9.9C3	486,140

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