Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊₄D₆

Direct product G=N×Q with N=C₃ and Q=C₃²⋊₄D₆

		d	ρ	Label	ID
C₃×C₃²⋊₄D₆		12	4	C3xC3^2:4D6	324,167

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃²⋊₄D₆) = C₃³⋊₁₇D₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₃	36		C3:(C3^2:4D6)	324,170

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊₄D₆) = C₃²⋊₅D₁₈	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₃	36	4	C3.1(C3^2:4D6)	324,123
C₃.₂(C₃²⋊₄D₆) = He₃⋊₆D₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₃	27		C3.2(C3^2:4D6)	324,124
C₃.₃(C₃²⋊₄D₆) = He₃.₆D₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₃	27	6+	C3.3(C3^2:4D6)	324,125

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊4D6