Extensions 1→N→G→Q→1 with N=C₄oD₈ and Q=S₃

Direct product G=NxQ with N=C₄oD₈ and Q=S₃

		d	ρ	Label	ID
S₃xC₄oD₈		48	4	S3xC4oD8	192,1326

Semidirect products G=N:Q with N=C₄oD₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₈:₁S₃ = Q₁₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	96	4	C4oD8:1S3	192,753
C₄oD₈:₂S₃ = Q₁₆:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	48	4+	C4oD8:2S3	192,752
C₄oD₈:₃S₃ = SD₁₆:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	48	4	C4oD8:3S3	192,1327
C₄oD₈:₄S₃ = D₈:₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	48	4+	C4oD8:4S3	192,1328
C₄oD₈:₅S₃ = D₈:₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	48	4	C4oD8:5S3	192,1329
C₄oD₈:₆S₃ = D₈.₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	96	4-	C4oD8:6S3	192,1330

Non-split extensions G=N.Q with N=C₄oD₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₈.₁S₃ = C₂₄.₄₁D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	96	4	C4oD8.1S3	192,126
C₄oD₈.₂S₃ = D₈:₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	48	4	C4oD8.2S3	192,125
C₄oD₈.₃S₃ = D₈.₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	96	4-	C4oD8.3S3	192,754
C₄oD₈.₄S₃ = D₈:₄Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄oD₈	48	4	C4oD8.4S3	192,756
C₄oD₈.₅S₃ = D₈:₅Dic₃	φ: trivial image	48	4	C4oD8.5S3	192,755

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