Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.S₄

Direct product G=N×Q with N=C₃ and Q=C₄.S₄

		d	ρ	Label	ID
C₃×C₄.S₄		96	4	C3xC4.S4	288,902

Semidirect products G=N:Q with N=C₃ and Q=C₄.S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄.S₄) = CSU₂(𝔽₃)⋊S₃	φ: C₄.S₄/CSU₂(𝔽₃) → C₂ ⊆ Aut C₃	96	4	C3:1(C4.S4)	288,844
C₃⋊₂(C₄.S₄) = C₁₂.₆S₄	φ: C₄.S₄/C₄.A₄ → C₂ ⊆ Aut C₃	96	4-	C3:2(C4.S4)	288,913

Non-split extensions G=N.Q with N=C₃ and Q=C₄.S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄.S₄) = C₁₂.₃S₄	φ: C₄.S₄/C₄.A₄ → C₂ ⊆ Aut C₃	144	4-	C3.(C4.S4)	288,338

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4.S4