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

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

		d	ρ	Label	ID
C₁₂×S₄		36	3	C12xS4	288,897

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×S₄) = C₃×C₄⋊S₄	φ: C₃×S₄/C₃×A₄ → C₂ ⊆ Aut C₄	36	6	C4:(C3xS4)	288,898

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₃×S₄) = C₃×A₄⋊Q₈	φ: C₃×S₄/C₃×A₄ → C₂ ⊆ Aut C₄	72	6	C4.1(C3xS4)	288,896
C₄.₂(C₃×S₄) = C₃×C₄.S₄	φ: C₃×S₄/C₃×A₄ → C₂ ⊆ Aut C₄	96	4	C4.2(C3xS4)	288,902
C₄.₃(C₃×S₄) = C₃×C₄.₃S₄	φ: C₃×S₄/C₃×A₄ → C₂ ⊆ Aut C₄	48	4	C4.3(C3xS4)	288,904
C₄.₄(C₃×S₄) = C₃×A₄⋊C₈	central extension (φ=1)	72	3	C4.4(C3xS4)	288,398
C₄.₅(C₃×S₄) = C₃×U₂(𝔽₃)	central extension (φ=1)	72	2	C4.5(C3xS4)	288,400
C₄.₆(C₃×S₄) = C₃×C₄.₆S₄	central extension (φ=1)	48	2	C4.6(C3xS4)	288,903

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