Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₃×S₃

Direct product G=N×Q with N=C₁₆ and Q=C₃×S₃

		d	ρ	Label	ID
S₃×C₄₈		96	2	S3xC48	288,231

Semidirect products G=N:Q with N=C₁₆ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁(C₃×S₃) = C₃×D₄₈	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₆	96	2	C16:1(C3xS3)	288,233
C₁₆⋊₂(C₃×S₃) = C₃×C₄₈⋊C₂	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₆	96	2	C16:2(C3xS3)	288,234
C₁₆⋊₃(C₃×S₃) = C₃×D₆.C₈	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₆	96	2	C16:3(C3xS3)	288,232

Non-split extensions G=N.Q with N=C₁₆ and Q=C₃×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.(C₃×S₃) = C₃×Dic₂₄	φ: C₃×S₃/C₃² → C₂ ⊆ Aut C₁₆	96	2	C16.(C3xS3)	288,235
C₁₆.₂(C₃×S₃) = C₃×C₃⋊C₃₂	central extension (φ=1)	96	2	C16.2(C3xS3)	288,64

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Extensions 1→N→G→Q→1 with N=C16 and Q=C3×S3