Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.₃S₄

Direct product G=N×Q with N=C₃ and Q=C₄.₃S₄

		d	ρ	Label	ID
C₃×C₄.₃S₄		48	4	C3xC4.3S4	288,904

Semidirect products G=N:Q with N=C₃ and Q=C₄.₃S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄.₃S₄) = GL₂(𝔽₃)⋊S₃	φ: C₄.₃S₄/GL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4+	C3:1(C4.3S4)	288,847
C₃⋊₂(C₄.₃S₄) = C₁₂.₇S₄	φ: C₄.₃S₄/C₄.A₄ → C₂ ⊆ Aut C₃	48	4+	C3:2(C4.3S4)	288,915

Non-split extensions G=N.Q with N=C₃ and Q=C₄.₃S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄.₃S₄) = C₁₂.₄S₄	φ: C₄.₃S₄/C₄.A₄ → C₂ ⊆ Aut C₃	72	4+	C3.(C4.3S4)	288,340

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4.3S4