Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₆

Direct product G=N×Q with N=C₃ and Q=C₃×C₆

		d	ρ	Label	ID
C₃²×C₆		54		C3^2xC6	54,15

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₆) = S₃×C₃²	φ: C₃×C₆/C₃² → C₂ ⊆ Aut C₃	18		C3:(C3xC6)	54,12

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₆) = C₂×He₃	central stem extension (φ=1)	18	3	C3.1(C3xC6)	54,10
C₃.₂(C₃×C₆) = C₂×3_-¹⁺²	central stem extension (φ=1)	18	3	C3.2(C3xC6)	54,11

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C6