Extensions 1→N→G→Q→1 with N=C₃×2₊¹⁺⁴ and Q=C₃

Direct product G=N×Q with N=C₃×2₊¹⁺⁴ and Q=C₃

		d	ρ	Label	ID
C₃²×2₊¹⁺⁴		72		C3^2xES+(2,2)	288,1022

Semidirect products G=N:Q with N=C₃×2₊¹⁺⁴ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×2₊¹⁺⁴)⋊₁C₃ = C₃×Q₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×2₊¹⁺⁴	72	4	(C3xES+(2,2)):1C3	288,984
(C₃×2₊¹⁺⁴)⋊₂C₃ = C₃×C₂³⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×2₊¹⁺⁴	24	4	(C3xES+(2,2)):2C3	288,987

Non-split extensions G=N.Q with N=C₃×2₊¹⁺⁴ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×2₊¹⁺⁴).₁C₃ = 2₊¹⁺⁴⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×2₊¹⁺⁴	72	4	(C3xES+(2,2)).1C3	288,348
(C₃×2₊¹⁺⁴).₂C₃ = 2₊¹⁺⁴⋊₂C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×2₊¹⁺⁴	72	4	(C3xES+(2,2)).2C3	288,351
(C₃×2₊¹⁺⁴).₃C₃ = C₉×2₊¹⁺⁴	φ: trivial image	72	4	(C3xES+(2,2)).3C3	288,371

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Extensions 1→N→G→Q→1 with N=C3×2+ 1+4 and Q=C3