Extensions 1→N→G→Q→1 with N=C₃³⋊C₂ and Q=S₃

Direct product G=N×Q with N=C₃³⋊C₂ and Q=S₃

		d	ρ	Label	ID
S₃×C₃³⋊C₂		54		S3xC3^3:C2	324,168

Semidirect products G=N:Q with N=C₃³⋊C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊C₂⋊₁S₃ = He₃⋊D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃³⋊C₂	9	6+	C3^3:C2:1S3	324,39
C₃³⋊C₂⋊₂S₃ = He₃⋊₅D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃³⋊C₂	18	12+	C3^3:C2:2S3	324,121
C₃³⋊C₂⋊₃S₃ = He₃⋊₆D₆	φ: S₃/C₁ → S₃ ⊆ Out C₃³⋊C₂	27		C3^3:C2:3S3	324,124
C₃³⋊C₂⋊₄S₃ = C₃³⋊₁₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃³⋊C₂	36		C3^3:C2:4S3	324,170

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