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		24	8+	S3xC8:C2^2	192,1331

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⋊₁₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈⋊C₂²	24	8+	C8:C2^2:1S3	192,757
C₈⋊C₂²⋊₂S₃ = M₄(2).D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	8+	C8:C2^2:2S3	192,758
C₈⋊C₂²⋊₃S₃ = D₁₂.₃₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	8-	C8:C2^2:3S3	192,760
C₈⋊C₂²⋊₄S₃ = D₈⋊₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	8+	C8:C2^2:4S3	192,1333
C₈⋊C₂²⋊₅S₃ = D₈⋊₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	8-	C8:C2^2:5S3	192,1334
C₈⋊C₂²⋊₆S₃ = D₈⋊₄D₆	φ: trivial image	48	8-	C8:C2^2:6S3	192,1332

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).₁₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈⋊C₂²	48	8-	C8:C2^2.S3	192,759

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