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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×Q₁₆) = S₃×Dic₂₀	φ: S₃×Q₁₆/S₃×C₈ → C₂ ⊆ Aut C₅	240	4-	C5:1(S3xQ16)	480,338
C₅⋊₂(S₃×Q₁₆) = Dic₁₀.D₆	φ: S₃×Q₁₆/Dic₁₂ → C₂ ⊆ Aut C₅	240	4	C5:2(S3xQ16)	480,340
C₅⋊₃(S₃×Q₁₆) = D₁₅⋊Q₁₆	φ: S₃×Q₁₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₅	240	8-	C5:3(S3xQ16)	480,587
C₅⋊₄(S₃×Q₁₆) = Q₁₆×D₁₅	φ: S₃×Q₁₆/C₃×Q₁₆ → C₂ ⊆ Aut C₅	240	4-	C5:4(S3xQ16)	480,882
C₅⋊₅(S₃×Q₁₆) = S₃×C₅⋊Q₁₆	φ: S₃×Q₁₆/S₃×Q₈ → C₂ ⊆ Aut C₅	240	8-	C5:5(S3xQ16)	480,585

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