Extensions 1→N→G→Q→1 with N=C₃×S₃ and Q=C₂×C₁₂

Direct product G=N×Q with N=C₃×S₃ and Q=C₂×C₁₂

		d	ρ	Label	ID
S₃×C₆×C₁₂		144		S3xC6xC12	432,701

Semidirect products G=N:Q with N=C₃×S₃ and Q=C₂×C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃)⋊₁(C₂×C₁₂) = S₃²×C₁₂	φ: C₂×C₁₂/C₁₂ → C₂ ⊆ Out C₃×S₃	48	4	(C3xS3):1(C2xC12)	432,648
(C₃×S₃)⋊₂(C₂×C₁₂) = S₃×C₆×Dic₃	φ: C₂×C₁₂/C₂×C₆ → C₂ ⊆ Out C₃×S₃	48		(C3xS3):2(C2xC12)	432,651

Non-split extensions G=N.Q with N=C₃×S₃ and Q=C₂×C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃).(C₂×C₁₂) = S₃×C₂×C₃₆	φ: trivial image	144		(C3xS3).(C2xC12)	432,345

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Extensions 1→N→G→Q→1 with N=C3×S3 and Q=C2×C12