Extensions 1→N→G→Q→1 with N=S₃×C₂×C₆ and Q=C₃

Direct product G=N×Q with N=S₃×C₂×C₆ and Q=C₃

		d	ρ	Label	ID
S₃×C₆²		72		S3xC6^2	216,174

Semidirect products G=N:Q with N=S₃×C₂×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₆)⋊C₃ = C₃×S₃×A₄	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂×C₆	24	6	(S3xC2xC6):C3	216,166

Non-split extensions G=N.Q with N=S₃×C₂×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂×C₆).C₃ = S₃×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂×C₆	36	6	(S3xC2xC6).C3	216,98
(S₃×C₂×C₆).₂C₃ = S₃×C₂×C₁₈	φ: trivial image	72		(S3xC2xC6).2C3	216,109

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Extensions 1→N→G→Q→1 with N=S3×C2×C6 and Q=C3