Extensions 1→N→G→Q→1 with N=C₅⋊₂C₁₆ and Q=S₃

Direct product G=N×Q with N=C₅⋊₂C₁₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₅⋊₂C₁₆		240	4	S3xC5:2C16	480,8

Semidirect products G=N:Q with N=C₅⋊₂C₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆⋊₁S₃ = C₅⋊D₄₈	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4+	C5:2C16:1S3	480,15
C₅⋊₂C₁₆⋊₂S₃ = D₂₄.D₅	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4-	C5:2C16:2S3	480,20
C₅⋊₂C₁₆⋊₃S₃ = Dic₁₂⋊D₅	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4+	C5:2C16:3S3	480,21
C₅⋊₂C₁₆⋊₄S₃ = C₄₀.₅₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4	C5:2C16:4S3	480,11
C₅⋊₂C₁₆⋊₅S₃ = D₃₀.₅C₈	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	240	4	C5:2C16:5S3	480,12
C₅⋊₂C₁₆⋊₆S₃ = D₁₅⋊₂C₁₆	φ: trivial image	240	4	C5:2C16:6S3	480,9

Non-split extensions G=N.Q with N=C₅⋊₂C₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊₂C₁₆.₁S₃ = C₅⋊Dic₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	480	4-	C5:2C16.1S3	480,24
C₅⋊₂C₁₆.₂S₃ = C₁₅⋊C₃₂	φ: S₃/C₃ → C₂ ⊆ Out C₅⋊₂C₁₆	480	4	C5:2C16.2S3	480,6

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