Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=Q₁₆

Direct product G=N×Q with N=C₃⋊S₃ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×C₃⋊S₃		144		Q16xC3:S3	288,774

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊Q₁₆ = C₃⋊S₃⋊Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	48	8-	C3:S3:Q16	288,876
C₃⋊S₃⋊₂Q₁₆ = C₂₄.₂₃D₆	φ: Q₁₆/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3:2Q16	288,450
C₃⋊S₃⋊₃Q₁₆ = Dic₆.₉D₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out C₃⋊S₃	48	8-	C3:S3:3Q16	288,592

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.Q₁₆ = PSU₃(𝔽₂)⋊C₄	φ: Q₁₆/C₂ → D₄ ⊆ Out C₃⋊S₃	36	8	C3:S3.Q16	288,842
C₃⋊S₃.₂Q₁₆ = C₃⋊S₃.₂Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	48	4	C3:S3.2Q16	288,378
C₃⋊S₃.₃Q₁₆ = C₄.₂PSU₃(𝔽₂)	φ: Q₁₆/C₄ → C₂² ⊆ Out C₃⋊S₃	48	8	C3:S3.3Q16	288,394
C₃⋊S₃.₄Q₁₆ = C₃⋊S₃.₄D₈	φ: Q₁₆/C₈ → C₂ ⊆ Out C₃⋊S₃	48	4	C3:S3.4Q16	288,417
C₃⋊S₃.₅Q₁₆ = C₃⋊S₃.₅Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out C₃⋊S₃	48	8-	C3:S3.5Q16	288,432

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