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		72		C3^2xES+(2,2)	288,1022

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×D₄⋊₆D₆	φ: C₃×2₊¹⁺⁴/C₆×D₄ → C₂ ⊆ Aut C₃	24	4	C3:1(C3xES+(2,2))	288,994
C₃⋊₂(C₃×2₊¹⁺⁴) = C₃×D₄○D₁₂	φ: C₃×2₊¹⁺⁴/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xES+(2,2))	288,999

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)	72	4	C3.(C3xES+(2,2))	288,371

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