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

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

		d	ρ	Label	ID
S₃×C₈₀		240	2	S3xC80	480,116

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁(C₅×S₃) = C₅×D₄₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₆	240	2	C16:1(C5xS3)	480,118
C₁₆⋊₂(C₅×S₃) = C₅×C₄₈⋊C₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₆	240	2	C16:2(C5xS3)	480,119
C₁₆⋊₃(C₅×S₃) = C₅×D₆.C₈	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₆	240	2	C16:3(C5xS3)	480,117

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.(C₅×S₃) = C₅×Dic₂₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₁₆	480	2	C16.(C5xS3)	480,120
C₁₆.₂(C₅×S₃) = C₅×C₃⋊C₃₂	central extension (φ=1)	480	2	C16.2(C5xS3)	480,1

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