Extensions 1→N→G→Q→1 with N=C₁₈ and Q=S₄

Direct product G=N×Q with N=C₁₈ and Q=S₄

		d	ρ	Label	ID
C₁₈×S₄		54	3	C18xS4	432,532

Semidirect products G=N:Q with N=C₁₈ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊S₄ = C₂×C₉⋊S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	54	6+	C18:S4	432,536

Non-split extensions G=N.Q with N=C₁₈ and Q=S₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁S₄ = Q₈.D₂₇	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	432	4-	C18.1S4	432,37
C₁₈.₂S₄ = Q₈⋊D₂₇	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	216	4+	C18.2S4	432,38
C₁₈.₃S₄ = C₁₈.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	108	6-	C18.3S4	432,39
C₁₈.₄S₄ = C₂×C₉.S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	54	6+	C18.4S4	432,224
C₁₈.₅S₄ = C₁₈.₅S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	144	4-	C18.5S4	432,252
C₁₈.₆S₄ = C₁₈.₆S₄	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	72	4+	C18.6S4	432,253
C₁₈.₇S₄ = A₄⋊Dic₉	φ: S₄/A₄ → C₂ ⊆ Aut C₁₈	108	6-	C18.7S4	432,254
C₁₈.₈S₄ = C₉×CSU₂(𝔽₃)	central extension (φ=1)	144	2	C18.8S4	432,240
C₁₈.₉S₄ = C₉×GL₂(𝔽₃)	central extension (φ=1)	72	2	C18.9S4	432,241
C₁₈.₁₀S₄ = C₉×A₄⋊C₄	central extension (φ=1)	108	3	C18.10S4	432,242

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