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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×C₁₆) = C₂₄.₆₀D₆	φ: S₃×C₁₆/C₃⋊C₁₆ → C₂ ⊆ Aut C₃	48	4	C3:1(S3xC16)	288,190
C₃⋊₂(S₃×C₁₆) = C₁₆×C₃⋊S₃	φ: S₃×C₁₆/C₄₈ → C₂ ⊆ Aut C₃	144		C3:2(S3xC16)	288,272
C₃⋊₃(S₃×C₁₆) = S₃×C₃⋊C₁₆	φ: S₃×C₁₆/S₃×C₈ → C₂ ⊆ Aut C₃	96	4	C3:3(S3xC16)	288,189

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×C₁₆) = C₁₆×D₉	φ: S₃×C₁₆/C₄₈ → C₂ ⊆ Aut C₃	144	2	C3.(S3xC16)	288,4

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