Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃²

Direct product G=N×Q with N=C₃ and Q=S₃²

		d	ρ	Label	ID
C₃×S₃²		12	4	C3xS3^2	108,38

Semidirect products G=N:Q with N=C₃ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁S₃² = S₃×C₃⋊S₃	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₃	18		C3:1S3^2	108,39
C₃⋊₂S₃² = C₃²⋊₄D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₃	12	4	C3:2S3^2	108,40

Non-split extensions G=N.Q with N=C₃ and Q=S₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁S₃² = S₃×D₉	φ: S₃²/C₃×S₃ → C₂ ⊆ Aut C₃	18	4+	C3.1S3^2	108,16
C₃.₂S₃² = C₃²⋊D₆	φ: S₃²/C₃⋊S₃ → C₂ ⊆ Aut C₃	9	6+	C3.2S3^2	108,17

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Extensions 1→N→G→Q→1 with N=C3 and Q=S32