Extensions 1→N→G→Q→1 with N=C₅×SD₁₆ and Q=S₃

Direct product G=N×Q with N=C₅×SD₁₆ and Q=S₃

		d	ρ	Label	ID
C₅×S₃×SD₁₆		120	4	C5xS3xSD16	480,792

Semidirect products G=N:Q with N=C₅×SD₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×SD₁₆)⋊₁S₃ = Q₈⋊₃D₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×SD₁₆	120	4+	(C5xSD16):1S3	480,879
(C₅×SD₁₆)⋊₂S₃ = SD₁₆⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×SD₁₆	240	4-	(C5xSD16):2S3	480,880
(C₅×SD₁₆)⋊₃S₃ = SD₁₆×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×SD₁₆	120	4	(C5xSD16):3S3	480,878
(C₅×SD₁₆)⋊₄S₃ = D₄.₅D₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×SD₁₆	240	4	(C5xSD16):4S3	480,881
(C₅×SD₁₆)⋊₅S₃ = C₅×Q₈⋊₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×SD₁₆	120	4	(C5xSD16):5S3	480,793
(C₅×SD₁₆)⋊₆S₃ = C₅×D₄.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×SD₁₆	240	4	(C5xSD16):6S3	480,794
(C₅×SD₁₆)⋊₇S₃ = C₅×Q₈.₇D₆	φ: trivial image	240	4	(C5xSD16):7S3	480,795

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁