Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₆²

Direct product G=N×Q with N=C₃ and Q=C₃×C₆²

		d	ρ	Label	ID
C₃²×C₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₆²) = S₃×C₃²×C₆	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₃	108		C3:(C3xC6^2)	324,172

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₆²

extension	φ:Q→Aut N	d	Label	ID
C₃.₁(C₃×C₆²) = C₂×C₆×He₃	central stem extension (φ=1)	108	C3.1(C3xC6^2)	324,152
C₃.₂(C₃×C₆²) = C₂×C₆×3_-¹⁺²	central stem extension (φ=1)	108	C3.2(C3xC6^2)	324,153
C₃.₃(C₃×C₆²) = C₂²×C₉○He₃	central stem extension (φ=1)	108	C3.3(C3xC6^2)	324,154

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C62