Extensions 1→N→G→Q→1 with N=C₃×C₂²⋊A₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₂²⋊A₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₂²⋊A₄		108		C3^2xC2^2:A4	432,771

Semidirect products G=N:Q with N=C₃×C₂²⋊A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂²⋊A₄)⋊₁C₃ = C₂⁴⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²⋊A₄	36	9	(C3xC2^2:A4):1C3	432,526
(C₃×C₂²⋊A₄)⋊₂C₃ = C₆²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²⋊A₄	36		(C3xC2^2:A4):2C3	432,555
(C₃×C₂²⋊A₄)⋊₃C₃ = C₃×A₄²	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²⋊A₄	36	9	(C3xC2^2:A4):3C3	432,750

Non-split extensions G=N.Q with N=C₃×C₂²⋊A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂²⋊A₄).₁C₃ = C₃.A₄²	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²⋊A₄	36	9	(C3xC2^2:A4).1C3	432,525
(C₃×C₂²⋊A₄).₂C₃ = C₂⁴⋊₂3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²⋊A₄	36	9	(C3xC2^2:A4).2C3	432,528
(C₃×C₂²⋊A₄).₃C₃ = C₂⁴⋊₄3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂²⋊A₄	108		(C3xC2^2:A4).3C3	432,552
(C₃×C₂²⋊A₄).₄C₃ = C₉×C₂²⋊A₄	φ: trivial image	108		(C3xC2^2:A4).4C3	432,551

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