Extensions 1→N→G→Q→1 with N=C₃²⋊₂Q₈ and Q=S₃

Direct product G=N×Q with N=C₃²⋊₂Q₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₃²⋊₂Q₈		48	8-	S3xC3^2:2Q8	432,603

Semidirect products G=N:Q with N=C₃²⋊₂Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈⋊₁S₃ = C₃³⋊₆SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	24	4	C3^2:2Q8:1S3	432,583
C₃²⋊₂Q₈⋊₂S₃ = C₃³⋊₅(C₂×Q₈)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	48	8-	C3^2:2Q8:2S3	432,604
C₃²⋊₂Q₈⋊₃S₃ = C₃³⋊₆(C₂×Q₈)	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	24	8+	C3^2:2Q8:3S3	432,605
C₃²⋊₂Q₈⋊₄S₃ = D₆.₃S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	24	8+	C3^2:2Q8:4S3	432,609
C₃²⋊₂Q₈⋊₅S₃ = D₆.₆S₃²	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	48	8-	C3^2:2Q8:5S3	432,611
C₃²⋊₂Q₈⋊₆S₃ = Dic₃.S₃²	φ: trivial image	24	8+	C3^2:2Q8:6S3	432,612

Non-split extensions G=N.Q with N=C₃²⋊₂Q₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₂Q₈.S₃ = C₃³⋊Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃²⋊₂Q₈	48	4	C3^2:2Q8.S3	432,585

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