Extensions 1→N→G→Q→1 with N=C₃ and Q=S₄

Direct product G=N×Q with N=C₃ and Q=S₄

		d	ρ	Label	ID
C₃×S₄		12	3	C3xS4	72,42

Semidirect products G=N:Q with N=C₃ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊S₄ = C₃⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₃	12	6+	C3:S4	72,43

Non-split extensions G=N.Q with N=C₃ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.S₄ = C₃.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₃	18	6+	C3.S4	72,15

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Extensions 1→N→G→Q→1 with N=C3 and Q=S4