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

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

		d	ρ	Label	ID
C₄×S₄		12	3	C4xS4	96,186

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊S₄ = C₄⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₄	12	6+	C4:S4	96,187

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁S₄ = A₄⋊Q₈	φ: S₄/A₄ → C₂ ⊆ Aut C₄	24	6-	C4.1S4	96,185
C₄.₂S₄ = C₄.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₄	32	4-	C4.2S4	96,191
C₄.₃S₄ = C₄.₃S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₄	16	4+	C4.3S4	96,193
C₄.₄S₄ = A₄⋊C₈	central extension (φ=1)	24	3	C4.4S4	96,65
C₄.₅S₄ = U₂(𝔽₃)	central extension (φ=1)	24	2	C4.5S4	96,67
C₄.₆S₄ = C₄.₆S₄	central extension (φ=1)	16	2	C4.6S4	96,192

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