Extensions 1→N→G→Q→1 with N=C₈ and Q=S₄

Direct product G=N×Q with N=C₈ and Q=S₄

		d	ρ	Label	ID
C₈×S₄		24	3	C8xS4	192,958

Semidirect products G=N:Q with N=C₈ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁S₄ = A₄⋊D₈	φ: S₄/A₄ → C₂ ⊆ Aut C₈	24	6+	C8:1S4	192,961
C₈⋊₂S₄ = C₈⋊₂S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₈	24	6	C8:2S4	192,960
C₈⋊₃S₄ = C₈⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₈	24	6	C8:3S4	192,959

Non-split extensions G=N.Q with N=C₈ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁S₄ = A₄⋊Q₁₆	φ: S₄/A₄ → C₂ ⊆ Aut C₈	48	6-	C8.1S4	192,957
C₈.₂S₄ = C₈.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₈	64	4-	C8.2S4	192,962
C₈.₃S₄ = C₈.₃S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₈	32	4+	C8.3S4	192,966
C₈.₄S₄ = C₈.₄S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₈	32	4	C8.4S4	192,965
C₈.₅S₄ = C₈.₅S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₈	32	4	C8.5S4	192,964
C₈.₆S₄ = A₄⋊C₁₆	central extension (φ=1)	48	3	C8.6S4	192,186
C₈.₇S₄ = C₈.₇S₄	central extension (φ=1)	64	2	C8.7S4	192,187
C₈.₈S₄ = CU₂(𝔽₃)	central extension (φ=1)	32	2	C8.8S4	192,963

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