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

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

		d	ρ	Label	ID
C₃²×2_-¹⁺⁴		144		C3^2xES-(2,2)	288,1023

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×2_-¹⁺⁴) = C₃×Q₈.₁₅D₆	φ: C₃×2_-¹⁺⁴/C₆×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:1(C3xES-(2,2))	288,997
C₃⋊₂(C₃×2_-¹⁺⁴) = C₃×Q₈○D₁₂	φ: C₃×2_-¹⁺⁴/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xES-(2,2))	288,1000

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×2_-¹⁺⁴) = C₉×2_-¹⁺⁴	central extension (φ=1)	144	4	C3.(C3xES-(2,2))	288,372

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