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	4	S3xC4oD4	96,215

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁S₃ = C₄.₆S₄	φ: S₃/C₁ → S₃ ⊆ Out C₄○D₄	16	2	C4oD4:1S3	96,192
C₄○D₄⋊₂S₃ = C₄.₃S₄	φ: S₃/C₁ → S₃ ⊆ Out C₄○D₄	16	4+	C4oD4:2S3	96,193
C₄○D₄⋊₃S₃ = D₄⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₄	24	4+	C4oD4:3S3	96,156
C₄○D₄⋊₄S₃ = Q₈.₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4:4S3	96,157
C₄○D₄⋊₅S₃ = D₄○D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₄	24	4+	C4oD4:5S3	96,216
C₄○D₄⋊₆S₃ = Q₈○D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₄	48	4-	C4oD4:6S3	96,217

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁S₃ = U₂(𝔽₃)	φ: S₃/C₁ → S₃ ⊆ Out C₄○D₄	24	2	C4oD4.1S3	96,67
C₄○D₄.₂S₃ = C₄.S₄	φ: S₃/C₁ → S₃ ⊆ Out C₄○D₄	32	4-	C4oD4.2S3	96,191
C₄○D₄.₃S₃ = Q₈⋊₃Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₄	24	4	C4oD4.3S3	96,44
C₄○D₄.₄S₃ = Q₈.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄○D₄	48	4-	C4oD4.4S3	96,158
C₄○D₄.₅S₃ = D₄.Dic₃	φ: trivial image	48	4	C4oD4.5S3	96,155

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