Extensions 1→N→G→Q→1 with N=D₂₈ and Q=S₃

Direct product G=N×Q with N=D₂₈ and Q=S₃

		d	ρ	Label	ID
S₃×D₂₈		84	4+	S3xD28	336,149

Semidirect products G=N:Q with N=D₂₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈⋊₁S₃ = C₃⋊D₅₆	φ: S₃/C₃ → C₂ ⊆ Out D₂₈	168	4+	D28:1S3	336,30
D₂₈⋊₂S₃ = C₂₁⋊D₈	φ: S₃/C₃ → C₂ ⊆ Out D₂₈	168	4	D28:2S3	336,29
D₂₈⋊₃S₃ = D₂₈⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₂₈	168	4	D28:3S3	336,139
D₂₈⋊₄S₃ = C₂₈⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out D₂₈	84	4	D28:4S3	336,150
D₂₈⋊₅S₃ = D₂₈⋊₅S₃	φ: trivial image	168	4-	D28:5S3	336,138

Non-split extensions G=N.Q with N=D₂₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₈.₁S₃ = C₆.D₂₈	φ: S₃/C₃ → C₂ ⊆ Out D₂₈	168	4-	D28.1S3	336,34
D₂₈.₂S₃ = C₂₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out D₂₈	168	4	D28.2S3	336,32

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