Extensions 1→N→G→Q→1 with N=C₃≀C₃ and Q=S₃

Direct product G=N×Q with N=C₃≀C₃ and Q=S₃

		d	ρ	Label	ID
S₃×C₃≀C₃		18	6	S3xC3wrC3	486,117

Semidirect products G=N:Q with N=C₃≀C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃≀C₃⋊₁S₃ = C₃⁴⋊₇S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃≀C₃	27		C3wrC3:1S3	486,185
C₃≀C₃⋊₂S₃ = C₃≀C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃≀C₃	27	6+	C3wrC3:2S3	486,189
C₃≀C₃⋊₃S₃ = C₃⁴⋊₅S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃≀C₃	18	6	C3wrC3:3S3	486,166
C₃≀C₃⋊₄S₃ = C₃⁴⋊₅C₆	φ: S₃/C₃ → C₂ ⊆ Out C₃≀C₃	27		C3wrC3:4S3	486,167

Non-split extensions G=N.Q with N=C₃≀C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃≀C₃.S₃ = C₃≀C₃.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃≀C₃	27	6+	C3wrC3.S3	486,175

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Extensions 1→N→G→Q→1 with N=C3≀C3 and Q=S3