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

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

		d	ρ	Label	ID
C₃×C₃²⋊D₆		18	6	C3xC3^2:D6	324,117

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊D₆) = He₃⋊₅D₆	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₃	18	12+	C3:1(C3^2:D6)	324,121
C₃⋊₂(C₃²⋊D₆) = He₃⋊₆D₆	φ: C₃²⋊D₆/He₃⋊C₂ → C₂ ⊆ Aut C₃	27		C3:2(C3^2:D6)	324,124

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²⋊D₆) = C₃²⋊D₁₈	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₃	18	12+	C3.1(C3^2:D6)	324,37
C₃.₂(C₃²⋊D₆) = He₃⋊D₆	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₃	9	6+	C3.2(C3^2:D6)	324,39
C₃.₃(C₃²⋊D₆) = He₃.D₆	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₃	27	6+	C3.3(C3^2:D6)	324,40
C₃.₄(C₃²⋊D₆) = He₃.₂D₆	φ: C₃²⋊D₆/C₃²⋊C₆ → C₂ ⊆ Aut C₃	27	6+	C3.4(C3^2:D6)	324,41

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