Extensions 1→N→G→Q→1 with N=C₃⋊C₁₆ and Q=S₃

Direct product G=N×Q with N=C₃⋊C₁₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₃⋊C₁₆		96	4	S3xC3:C16	288,189

Semidirect products G=N:Q with N=C₃⋊C₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆⋊₁S₃ = C₃⋊D₄₈	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₁₆	48	4+	C3:C16:1S3	288,194
C₃⋊C₁₆⋊₂S₃ = C₃²⋊₃SD₃₂	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₁₆	96	4-	C3:C16:2S3	288,196
C₃⋊C₁₆⋊₃S₃ = C₂₄.₄₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₁₆	48	4+	C3:C16:3S3	288,197
C₃⋊C₁₆⋊₄S₃ = C₂₄.₆₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₁₆	96	4	C3:C16:4S3	288,191
C₃⋊C₁₆⋊₅S₃ = C₂₄.₆₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₁₆	48	4	C3:C16:5S3	288,192
C₃⋊C₁₆⋊₆S₃ = C₂₄.₆₀D₆	φ: trivial image	48	4	C3:C16:6S3	288,190

Non-split extensions G=N.Q with N=C₃⋊C₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆.S₃ = C₃²⋊₃Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊C₁₆	96	4-	C3:C16.S3	288,199

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