Extensions 1→N→G→Q→1 with N=S₃×C₂²×C₆ and Q=C₃

Direct product G=N×Q with N=S₃×C₂²×C₆ and Q=C₃

		d	ρ	Label	ID
S₃×C₂×C₆²		144		S3xC2xC6^2	432,772

Semidirect products G=N:Q with N=S₃×C₂²×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂²×C₆)⋊C₃ = S₃×C₆×A₄	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂²×C₆	36	6	(S3xC2^2xC6):C3	432,763

Non-split extensions G=N.Q with N=S₃×C₂²×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂²×C₆).C₃ = C₂×S₃×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₂²×C₆	36	6	(S3xC2^2xC6).C3	432,541
(S₃×C₂²×C₆).₂C₃ = S₃×C₂²×C₁₈	φ: trivial image	144		(S3xC2^2xC6).2C3	432,557

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Extensions 1→N→G→Q→1 with N=S3×C22×C6 and Q=C3