Extensions 1→N→G→Q→1 with N=C₃²⋊A₄ and Q=C₃

Direct product G=N×Q with N=C₃²⋊A₄ and Q=C₃

		d	ρ	Label	ID
C₃×C₃²⋊A₄		54		C3xC3^2:A4	324,135

Semidirect products G=N:Q with N=C₃²⋊A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊A₄⋊₁C₃ = C₆².₁₄C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	54	3	C3^2:A4:1C3	324,50
C₃²⋊A₄⋊₂C₃ = He₃⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	54	9	C3^2:A4:2C3	324,54
C₃²⋊A₄⋊₃C₃ = C₆².₆C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	36	9	C3^2:A4:3C3	324,58
C₃²⋊A₄⋊₄C₃ = C₃³⋊₂A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	18	3	C3^2:A4:4C3	324,60
C₃²⋊A₄⋊₅C₃ = A₄×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	36	9	C3^2:A4:5C3	324,130

Non-split extensions G=N.Q with N=C₃²⋊A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊A₄.₁C₃ = C₆².₁₃C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	54	3	C3^2:A4.1C3	324,49
C₃²⋊A₄.₂C₃ = 3_-¹⁺²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	54	9	C3^2:A4.2C3	324,57
C₃²⋊A₄.₃C₃ = C₆².₉C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₃²⋊A₄	54	9	C3^2:A4.3C3	324,132
C₃²⋊A₄.₄C₃ = C₆².₂₅C₃²	φ: trivial image	54	3	C3^2:A4.4C3	324,128

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