Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=SD₁₆

Direct product G=N×Q with N=C₃⋊S₃ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃⋊S₃		72		SD16xC3:S3	288,770

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=SD₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊SD₁₆ = C₂×AΓL₁(𝔽₉)	φ: SD₁₆/C₂ → D₄ ⊆ Out C₃⋊S₃	18	8+	C3:S3:SD16	288,1027
C₃⋊S₃⋊₂SD₁₆ = C₃⋊S₃⋊₂SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	24	8+	C3:S3:2SD16	288,875
C₃⋊S₃⋊₃SD₁₆ = C₂₄⋊₉D₆	φ: SD₁₆/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:3SD16	288,444
C₃⋊S₃⋊₄SD₁₆ = Dic₆⋊D₆	φ: SD₁₆/D₄ → C₂ ⊆ Out C₃⋊S₃	24	8+	C3:S3:4SD16	288,578
C₃⋊S₃⋊₅SD₁₆ = D₁₂.₉D₆	φ: SD₁₆/Q₈ → C₂ ⊆ Out C₃⋊S₃	48	8-	C3:S3:5SD16	288,588

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=SD₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.SD₁₆ = F₉⋊C₄	φ: SD₁₆/C₂ → D₄ ⊆ Out C₃⋊S₃	36	8	C3:S3.SD16	288,843
C₃⋊S₃.₂SD₁₆ = C₃⋊S₃.₂D₈	φ: SD₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	24	4	C3:S3.2SD16	288,377
C₃⋊S₃.₃SD₁₆ = C₃⋊S₃.₂Q₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	48	4	C3:S3.3SD16	288,378
C₃⋊S₃.₄SD₁₆ = C₄.PSU₃(𝔽₂)	φ: SD₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	48	8	C3:S3.4SD16	288,393
C₃⋊S₃.₅SD₁₆ = C₈⋊(C₃²⋊C₄)	φ: SD₁₆/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3.5SD16	288,416
C₃⋊S₃.₆SD₁₆ = C₃⋊S₃.₅D₈	φ: SD₁₆/D₄ → C₂ ⊆ Out C₃⋊S₃	24	8+	C3:S3.6SD16	288,430
C₃⋊S₃.₇SD₁₆ = C₃⋊S₃.₅Q₁₆	φ: SD₁₆/Q₈ → C₂ ⊆ Out C₃⋊S₃	48	8-	C3:S3.7SD16	288,432

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