Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=S₃

Direct product G=N×Q with N=C₄○D₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₄○D₈		48	4	S3xC4oD8	192,1326

Semidirect products G=N:Q with N=C₄○D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁S₃ = Q₁₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	96	4	C4oD8:1S3	192,753
C₄○D₈⋊₂S₃ = Q₁₆⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	48	4+	C4oD8:2S3	192,752
C₄○D₈⋊₃S₃ = SD₁₆⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8:3S3	192,1327
C₄○D₈⋊₄S₃ = D₈⋊₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	48	4+	C4oD8:4S3	192,1328
C₄○D₈⋊₅S₃ = D₈⋊₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8:5S3	192,1329
C₄○D₈⋊₆S₃ = D₈.₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	96	4-	C4oD8:6S3	192,1330

Non-split extensions G=N.Q with N=C₄○D₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁S₃ = C₂₄.₄₁D₄	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	96	4	C4oD8.1S3	192,126
C₄○D₈.₂S₃ = D₈⋊₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8.2S3	192,125
C₄○D₈.₃S₃ = D₈.₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	96	4-	C4oD8.3S3	192,754
C₄○D₈.₄S₃ = D₈⋊₄Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₈	48	4	C4oD8.4S3	192,756
C₄○D₈.₅S₃ = D₈⋊₅Dic₃	φ: trivial image	48	4	C4oD8.5S3	192,755

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