Extensions 1→N→G→Q→1 with N=C₃²⋊₂C₈ and Q=S₃

Direct product G=N×Q with N=C₃²⋊₂C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₃²⋊₂C₈		48	8-	S3xC3^2:2C8	432,570

Semidirect products G=N:Q with N=C₃²⋊₂C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈⋊₁S₃ = C₃²⋊₂D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	24	8+	C3^2:2C8:1S3	432,588
C₃²⋊₂C₈⋊₂S₃ = C₃³⋊₈SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	24	8+	C3^2:2C8:2S3	432,589
C₃²⋊₂C₈⋊₃S₃ = C₃³⋊M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8:3S3	432,572
C₃²⋊₂C₈⋊₄S₃ = C₃³⋊₂M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	24	8+	C3^2:2C8:4S3	432,573
C₃²⋊₂C₈⋊₅S₃ = C₃³⋊₅(C₂×C₈)	φ: trivial image	24	8+	C3^2:2C8:5S3	432,571

Non-split extensions G=N.Q with N=C₃²⋊₂C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂C₈.₁S₃ = C₆.F₉	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	48	8	C3^2:2C8.1S3	432,566
C₃²⋊₂C₈.₂S₃ = C₃³⋊₃Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂C₈	48	8-	C3^2:2C8.2S3	432,590

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