Extensions 1→N→G→Q→1 with N=C₃² and Q=S₄

Direct product G=N×Q with N=C₃² and Q=S₄

		d	ρ	Label	ID
C₃²×S₄		36		C3^2xS4	216,163

Semidirect products G=N:Q with N=C₃² and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁S₄ = C₆²⋊S₃	φ: S₄/C₂² → S₃ ⊆ Aut C₃²	18	6+	C3^2:1S4	216,92
C₃²⋊₂S₄ = C₃²⋊S₄	φ: S₄/C₂² → S₃ ⊆ Aut C₃²	18	3	C3^2:2S4	216,95
C₃²⋊₃S₄ = C₃×C₃⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₃²	24	6	C3^2:3S4	216,164
C₃²⋊₄S₄ = C₃²⋊₄S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₃²	36		C3^2:4S4	216,165

Non-split extensions G=N.Q with N=C₃² and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².S₄ = C₃².S₄	φ: S₄/C₂² → S₃ ⊆ Aut C₃²	18	6+	C3^2.S4	216,90
C₃².₂S₄ = C₃×C₃.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₃²	36	6	C3^2.2S4	216,91
C₃².₃S₄ = C₃².₃S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₃²	54		C3^2.3S4	216,94

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