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

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

		d	ρ	Label	ID
S₃×C₄.D₄		24	8+	S3xC4.D4	192,303

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊₁S₃ = M₄(2)⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄.D₄	48	8-	C4.D4:1S3	192,305
C₄.D₄⋊₂S₃ = D₁₂⋊₁D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.D₄	24	8+	C4.D4:2S3	192,306
C₄.D₄⋊₃S₃ = D₁₂.₂D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.D₄	48	8-	C4.D4:3S3	192,307
C₄.D₄⋊₄S₃ = D₁₂.₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄.D₄	48	8+	C4.D4:4S3	192,308
C₄.D₄⋊₅S₃ = C₂³.₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.D₄	24	8+	C4.D4:5S3	192,34
C₄.D₄⋊₆S₃ = M₄(2).₁₉D₆	φ: trivial image	48	8-	C4.D4:6S3	192,304

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.S₃ = C₂³.₄D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄.D₄	48	8-	C4.D4.S3	192,35

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