Extensions 1→N→G→Q→1 with N=C₈.C₂² and Q=S₃

Direct product G=N×Q with N=C₈.C₂² and Q=S₃

		d	ρ	Label	ID
S₃×C₈.C₂²		48	8-	S3xC8.C2^2	192,1335

Semidirect products G=N:Q with N=C₈.C₂² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂²⋊₁S₃ = D₁₂.₃₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₂²	48	8+	C8.C2^2:1S3	192,761
C₈.C₂²⋊₂S₃ = M₄(2).₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₂²	48	8+	C8.C2^2:2S3	192,762
C₈.C₂²⋊₃S₃ = D₁₂.₄₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₂²	48	8-	C8.C2^2:3S3	192,764
C₈.C₂²⋊₄S₃ = C₂₄.C₂³	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₂²	48	8+	C8.C2^2:4S3	192,1337
C₈.C₂²⋊₅S₃ = SD₁₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₂²	96	8-	C8.C2^2:5S3	192,1338
C₈.C₂²⋊₆S₃ = D₂₄⋊C₂²	φ: trivial image	48	8+	C8.C2^2:6S3	192,1336

Non-split extensions G=N.Q with N=C₈.C₂² and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.C₂².S₃ = M₄(2).₁₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈.C₂²	96	8-	C8.C2^2.S3	192,763

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