Extensions 1→N→G→Q→1 with N=C₉⋊C₈ and Q=S₃

Direct product G=N×Q with N=C₉⋊C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₉⋊C₈		144	4	S3xC9:C8	432,66

Semidirect products G=N:Q with N=C₉⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈⋊₁S₃ = C₉⋊D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₈	72	4+	C9:C8:1S3	432,69
C₉⋊C₈⋊₂S₃ = C₃₆.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₈	144	4-	C9:C8:2S3	432,71
C₉⋊C₈⋊₃S₃ = C₁₈.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₈	72	4+	C9:C8:3S3	432,73
C₉⋊C₈⋊₄S₃ = C₃₆.₄₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₈	72	4	C9:C8:4S3	432,61
C₉⋊C₈⋊₅S₃ = D₆.Dic₉	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₈	144	4	C9:C8:5S3	432,67
C₉⋊C₈⋊₆S₃ = C₃₆.₃₈D₆	φ: trivial image	72	4	C9:C8:6S3	432,59

Non-split extensions G=N.Q with N=C₉⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉⋊C₈.S₃ = C₉⋊Dic₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₉⋊C₈	144	4-	C9:C8.S3	432,75

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