Extensions 1→N→G→Q→1 with N=C₄.₁₀D₄ and Q=S₃

Direct product G=NxQ with N=C₄.₁₀D₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₄.₁₀D₄		48	8-	S3xC4.10D4	192,309

Semidirect products G=N:Q with N=C₄.₁₀D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄:₁S₃ = D₁₂.₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	8-	C4.10D4:1S3	192,311
C₄.₁₀D₄:₂S₃ = D₁₂.₅D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	8+	C4.10D4:2S3	192,312
C₄.₁₀D₄:₃S₃ = D₁₂.₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	8+	C4.10D4:3S3	192,313
C₄.₁₀D₄:₄S₃ = D₁₂.₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.₁₀D₄	96	8-	C4.10D4:4S3	192,314
C₄.₁₀D₄:₅S₃ = (C₂xC₄).D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	8+	C4.10D4:5S3	192,36
C₄.₁₀D₄:₆S₃ = M₄(2).₂₁D₆	φ: trivial image	48	8+	C4.10D4:6S3	192,310

Non-split extensions G=N.Q with N=C₄.₁₀D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄.S₃ = (C₂xC₁₂).D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.₁₀D₄	48	8-	C4.10D4.S3	192,37

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