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

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

		d	ρ	Label	ID
S₃×C₃⋊Q₁₆		96	8-	S3xC3:Q16	288,590

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊Q₁₆⋊₁S₃ = D₁₂.₁₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Q₁₆	96	8-	C3:Q16:1S3	288,591
C₃⋊Q₁₆⋊₂S₃ = Dic₆.₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Q₁₆	48	8-	C3:Q16:2S3	288,592
C₃⋊Q₁₆⋊₃S₃ = Dic₆.₁₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Q₁₆	48	8+	C3:Q16:3S3	288,593
C₃⋊Q₁₆⋊₄S₃ = Dic₆.₂₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Q₁₆	48	8+	C3:Q16:4S3	288,596
C₃⋊Q₁₆⋊₅S₃ = D₁₂.₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Q₁₆	48	8+	C3:Q16:5S3	288,598
C₃⋊Q₁₆⋊₆S₃ = D₁₂.₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃⋊Q₁₆	48	8-	C3:Q16:6S3	288,599
C₃⋊Q₁₆⋊₇S₃ = D₁₂.₁₃D₆	φ: trivial image	48	8+	C3:Q16:7S3	288,597

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁