Extensions 1→N→G→Q→1 with N=C₅×Q₁₆ and Q=S₃

Direct product G=N×Q with N=C₅×Q₁₆ and Q=S₃

		d	ρ	Label	ID
C₅×S₃×Q₁₆		240	4	C5xS3xQ16	480,796

Semidirect products G=N:Q with N=C₅×Q₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆)⋊₁S₃ = C₈.₆D₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4+	(C5xQ16):1S3	480,188
(C₅×Q₁₆)⋊₂S₃ = Q₁₆×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4-	(C5xQ16):2S3	480,882
(C₅×Q₁₆)⋊₃S₃ = D₁₂₀⋊₈C₂	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4+	(C5xQ16):3S3	480,884
(C₅×Q₁₆)⋊₄S₃ = Q₁₆⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):4S3	480,883
(C₅×Q₁₆)⋊₅S₃ = C₅×C₈.₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):5S3	480,147
(C₅×Q₁₆)⋊₆S₃ = C₅×Q₁₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	240	4	(C5xQ16):6S3	480,797
(C₅×Q₁₆)⋊₇S₃ = C₅×D₂₄⋊C₂	φ: trivial image	240	4	(C5xQ16):7S3	480,798

Non-split extensions G=N.Q with N=C₅×Q₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₁₆).₁S₃ = C₁₅⋊₇Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	480	4-	(C5xQ16).1S3	480,189
(C₅×Q₁₆).₂S₃ = C₅×C₃⋊Q₃₂	φ: S₃/C₃ → C₂ ⊆ Out C₅×Q₁₆	480	4	(C5xQ16).2S3	480,148

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