Extensions 1→N→G→Q→1 with N=C₂ and Q=S₄

Direct product G=N×Q with N=C₂ and Q=S₄

		d	ρ	Label	ID
C₂×S₄		6	3+	C2xS4	48,48

Non-split extensions G=N.Q with N=C₂ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁S₄ = A₄⋊C₄	central extension (φ=1)	12	3	C2.1S4	48,30
C₂.₂S₄ = CSU₂(𝔽₃)	central stem extension (φ=1)	16	2-	C2.2S4	48,28
C₂.₃S₄ = GL₂(𝔽₃)	central stem extension (φ=1)	8	2	C2.3S4	48,29

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Extensions 1→N→G→Q→1 with N=C2 and Q=S4